The spinner shown is divided into congruent sections that are labeled 1-6. If the spinner is spun twice, what is the probability of the arrow landing on a 5 and then landing on a 3?

Answers

Answer 1

Answer:

1/36

Step-by-step explanation:

This is a simple use of the multiplication rule of probability, which is:

"The probability that Events A and B both occur is equal to the probability that Event A occurs times the probability that Event B occurs, given that A has occurred"

Using this rule, we square 1/6 to get 1/36. In other forms:

Decimal:0.02777777777(Round to whatever decimal place you need)

Percentage: 2.778%(I don't see you needing any more places)

Hope my answer helped you!


Related Questions

Jared is going to plant 20 small plants around the edge of a circular garden
that is 8 feet in diameter. If he spaces the plants evenly, how much distance
will be between the plants? (Round to the nearest hundredth)
Blank 1:

Answers

Answer:

1 every 2.5 feet

Step-by-step explanation:

20 divided by 8 20 being the plants 8 being the length gives u 2.5

Rounding to the nearest hundredth, the distance between each plant will be approximately 1.26 feet.

To find the distance between each plant when they are evenly spaced around the edge of the circular garden, we can use the formula for the circumference of a circle:

[tex]Circumference (C) = \pi * diameter[/tex]

Rounding to the nearest hundredth, the distance between each plant will be approximately 1.26 feet.

Given that the diameter of the circular garden is 8 feet, we can calculate the circumference:

[tex]C = \pi * 8[/tex]

Now, let's calculate the circumference:

[tex]C = \pi * 8[/tex]

[tex]C = 3.14 * 8[/tex]

[tex]C = 25.12 feet[/tex]

Now, since there are 20 plants evenly spaced around the circumference, we can divide the circumference by 20 to find the distance between each plant:

[tex]Distance between plants = Circumference / Number of plants[/tex]

[tex]Distance between plants =25.12 / 20[/tex]

[tex]Distance between plants = 1.256 feet[/tex]

Complete correct question:

Jared is going to plant 20 small plants around the edge of a circular garden

that is 8 feet in diameter. If he spaces the plants evenly, how much distance

will be between the plants? (Round to the nearest hundredth)

What is the value of y ? 25=y+20

Answers

Answer:

y = 5

Step-by-step explanation:

25 = y + 20

y = 25 - 20

y = 5

hope it helps!

Answer:

y = 5

Step-by-step explanation:

Let's start!

Our equation for today is 25 = y + 20.

First we need to subtract 20 from each side,

                                        25 = y + 20

                                       -20        -20

We get,  

                                          5 = y

So our answer is 5!

(Or y = 5)

NICE JOB EVERYONE!

Milk & Cookies is an ice cream sandwich stand.
Use the following bar chart to find Milk & Cookies' total profit from July through September.

Answers

The total profit from July through September is -$1 if Milk & Cookies is an ice cream sandwich stand.

What is a bar chart?

It is defined as the depiction of numerical data in a graph using a bar with space.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we can see in the bar graph,

Milk & Cookies is an ice cream sandwich stand.

Total profit from July through September = (+2) + (+2) + (-5)

= -$1

Thus, the total profit from July through September is -$1 if Milk & Cookies is an ice cream sandwich stand.

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Final answer:

Without the bar chart data, the exact total profit for Milk & Cookies' from July through September cannot be calculated. Normally, you would add the monthly profits to find the total profit for the quarter.

Explanation:

To determine Milk & Cookies' total profit from July through September, we would need to examine the provided bar chart that lists profits for each month. However, since the actual bar chart data is not included in the question, we cannot calculate the exact total profit.

In a typical situation, you would add the profit of each month: Profit in July + Profit in August + Profit in September to find the total profit for that quarter.

If the total profits for July, August, and September are positive when added together, then Milk & Cookies has made a profit over these months.

If the sum is zero, the business broke even, and if the sum is negative, the business incurred a loss during that period. The profits from the bar chart are essential to conduct this analysis.

There are 42 students 21 are in 7th grade 14 are in 8th 7 are in ninth whats the probability of an eighth grader winning

Answers

Answer:

The probability of an eighth grader winning is 1/3

Step-by-step explanation:

Total no. of students = 42

Number of students in 7th grade = 21

Number of students in 8th grade = 14

Number of students in 9th grade = 7

Probability of event = [tex]\frac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

So,the probability of an eighth grader winning= [tex]\frac{14}{42}=\frac{2}{6}=\frac{1}{3}[/tex]

Hence The probability of an eighth grader winning is 1/3

Little Tommy built a train out of LEGOS. One-sixth of the train was made with blue blocks, 5/8 of the train was made with red blocks and the remaining five blocks were yellow.
How many LEGO blocks long was Tommy's train?

Answers

Answer:

24 blocks long

Answer:

24 blocks.

Step-by-step explanation:

[tex]\frac{1}{6} +\frac{5}{8} =5[/tex] blocks

[tex]\frac{8}{48} + \frac{30}{48}=\frac{38}{48}\\\\ \frac{48}{48} -\frac{38}{48} =\frac{10}{48}[/tex]

[tex]\frac{10}{48}[/tex] is 5 blocks

You can use ratios to find out how many blocks for each color now. (I'm too lazy)

Blue blocks: 4 blocks

Red blocks: 15 blocks

Yellow blocks: 5 blocks

4+15+5=24 blocks in total.

Need Help ASAP I have no calculator!!!
50x2x45x50=

Answers

Answer:

The answer is 225,000.

Step-by-step explanation:

Hope this Helps!!!

Answer:

225000

Step-by-step explanation:

What is the solution to the system of equations below y=1/2x-4andy=2x-9 (-2,-5) (-2,-3) (2,-3) (2,-13

Answers

Final answer:

The solution to the system of equations y = 1/2x - 4 and y = 2x - 9 is x = -2 and y = -5.

Explanation:

To find the solution to the system of equations y = 1/2x - 4 and y = 2x - 9, we need to find the values of x and y that satisfy both equations. We can do this by finding the points of intersection between the two lines graphically or by solving the equations algebraically.

Graphically, we can plot the two lines on a graph and see where they intersect. The points of intersection are (-2, -5) and (2, -3).

Algebraically, we can set the two equations equal to each other and solve for x:

1/2x - 4 = 2x - 9

Now solve for x:

x = -2

Then substitute the value of x back into one of the original equations to find the value of y:

y = 1/2(-2) - 4 = -5

So the solution to the system of equations is x = -2 and y = -5.

A rectangular pyramid has a volume of 1512 in ', a height of 12 in, and a base length of 21 in. What is the width of its base?
2 in
6 in.
12 in.
18 in.​

Answers

Final answer:

The width of the base of the rectangular pyramid is 6 inches, which is found by rearranging and simplifying the formula for the volume of a pyramid using the given values for the pyramid's volume, height, and length.

Explanation:

The student has asked about finding the width of the base of a rectangular pyramid with a known volume, height, and base length. To find the width (w), we use the formula for the volume of a pyramid: V = (1/3) × base area × height. The base area is the product of the base length (l) and width (w), so we can rewrite the equation as V = (1/3) × l × w × h, where

V is the volume of the pyramid,l is the length of the base,w is the width of the base,h is the height of the pyramid.

Given that V = 1512 in³, h = 12 in, and l = 21 in, the equation becomes 1512 = (1/3) × 21 × w × 12. Simplifying, we find w = 1512 /​ (1/3 × 21 × 12), which calculates to 6 in. Hence, the width of the base of the pyramid is 6 inches.

Jorge asked each of the 24 students in his class if they play a musical instrument. He also asked each
student if they play a sport. He gathered the following results:
. 6 students play both a musical instrument and a sport
. 3 students play neither a musical instrument nor a sport.
• 14 students in total play a sport.
Can you help Jorge organize the results into a two-way frequency table?
Plays a sport
Does not play a sport
Plays a musical instrument
Does not play a musical instrument

Answers

Final answer:

To organize the results into a two-way frequency table, fill in the known values and calculate the remaining values based on the total number of students.

Explanation:

To organize the results into a two-way frequency table, we can use the information given. First, we know that 6 students play both a musical instrument and a sport. We also know that 3 students play neither a musical instrument nor a sport. Furthermore, we know that a total of 14 students play a sport. From this information, we can fill in the table:

Plays a sport Does not play a sport

Plays a musical instrument 6 To be filled

Does not play a musical instrument To be filled 3

We can calculate the values for the empty cells by subtracting the known values from the total. So, the number of students who play a musical instrument but do not play a sport is 24 - (6 + 3 + 14) = 1. Likewise, the number of students who do not play a musical instrument but play a sport is 24 - (6 + 3 + 14) = 1.

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Connor randomly chooses a card from a deck of numbered cards. the cards are numbered 1 through 10, and each number appears only one time. What is the probability that the card Connor chooses has a number on it that is even or divisible by 5?
1) 7/10
2) 3/5
3) 1/2
4) 4/5

Answers

Answer:

Probability that the card Connor chooses has a number on it that is even or divisible by 5 is (3/5) or 0.6.

Step-by-step explanation:

We are given that Connor randomly chooses a card from a deck of numbered cards. the cards are numbered 1 through 10, and each number appears only one time.

And we have to find the probability that the card Connor chooses has a number on it that is even or divisible by 5.

Let the Probability that card Connor chooses has a number on it that is even = P(A)

Probability that card Connor chooses has a number on it that is divisible by 5 = P(B)

Probability that card Connor chooses has a number on it that is even and divisible by 5 =  [tex]P(A\bigcap B)[/tex]

Probability that card Connor chooses has a number on it that is even or divisible by 5 =  [tex]P(A\bigcup B)[/tex]

Here, Even numbers are = {2, 4, 6, 8, 10} = 5

Numbers divisible by 5 = {5, 10} = 2

Also, Number which is even and also divisible by 5 = {10} = 1

Total numbers = 10

Now, Probability that card Connor chooses has a number on it that is even =  [tex]\frac{5}{10}[/tex]  = 0.5

Probability that card Connor chooses has a number on it that is divisible by 5 =  [tex]\frac{2}{10}[/tex]  = 0.2

Probability that card Connor chooses has a number on it that is even and divisible by 5 =  [tex]\frac{1}{10}[/tex]  = 0.1

Now,     [tex]P(A\bigcup B) = P(A) +P(B) -P(A\bigcap B)[/tex]

                             =  0.5 + 0.2 - 0.1

                             =  0.6  =  [tex]\frac{3}{5}[/tex]

Hence, probability that the card Connor chooses has a number on it that is even or divisible by 5 is 0.6.

3/2 x 63 = how many?

Answers

Simplify the expression.

Exact Form:

189/2

Decimal Form:

94.5

Mixed Number Form:

94 1/2

Answer: 189 or 94.5

Step-by-step explanation:

divide 3/2 because he fashion is division so 3/2 is 1.5 then multiply 1.5 by 63    and you get 94.5

Part one: Sequence and Series

1)

Find the 29th term of the arithmetic sequence in which a=13 and d = -2.5

Answers

Answer:

- 57

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a + (n - 1)d

where a is the first term and d the common difference

Here a = 13 and d = - 2.5, thus

[tex]a_{29}[/tex] = 13 + (28 × - 2.5) = 13 - 70 = - 57

The goal for a fundraiser is $1,500. The school has raised 70% of the money. How much money has the school collected?

Answers

The school has collected $1050.

A container is 24 m long, 9 m wide and 8 m high.
How many books can it hold if each book is 20 cm
long, 16 cm wide and 6 cm thick?​

Answers

Answer:

900,000 books.

Step-by-step explanation:

The volume of the container = 24 * 9 * 8

= 1728 m^3

The volume of each book = 20*16*6 = 1920 cm^3

There are 100*100*100 = 1,000,000 cm^3 in 1 m^3.

So the number of books the container can hold

=   (1728 * 1000000) / 1920

= 900,000.

Wich x makes the statement 7+5 (x-3)=22 a true statement (URGENT)

A. X=4
B. x=5
C. X=6
D. X=7

Answers

Answer:

The answer would be C.) x = 6

Step-by-step explanation:

7+5 (4-3) = 12

7+5 (5 -3) = 17

7+5 (6-3) = 22

7+5 (7-3) = 27

What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?

2 units
3 units
4 units
5 units

Answers

Answer:

The Answer is 2 Units on edg 2020

Step-by-step explanation:

The radius of a circle whose equation is given is x²+y²+8x−6y+21=0 is; 2.

Radius of a circle

The given equation of the circle is;

x²+y²+8x−6y+21=0.

Hence, by collecting like terms and subsequent factorisation by completing the square method, it follows that;

(x+4)² + (y-3)² -16 -9 +21 = 0.

(x+4)² + (y-3)² = 4

(x+4)² + (y-3)² = 2².

By comparison of the equation above with the standard form equation of a circle, it follows that the radius of the circle is; 2

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Find the volume of a cone with a diameter of 11.5 inches and a height of 15.2 inches.

Answers

Answer:

The volume of a right circular cone is [tex]526\ \text{feet}^3[/tex].

Step-by-step explanation:

We have,

Diameter of a cone is 11.5 inches

Height of a cone is 15.2 inches

It is required to find the volume of a cone. The volume of a cone is given in terms of radius r and height h as :

d = 11.5 inches

Radius, r = 5.75 inches

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (5.75)^2\times 15.2\\\\V=526\ \text{inches}^3[/tex],

So, the volume of a right circular cone is [tex]526\ \text{feet}^3[/tex].

Final answer:

To find the volume of a cone with a given diameter and height, use the formula V = (1/3)πr²h where r is the radius and h is the height.

Explanation:

Volume of a cone:

Given diameter = 11.5 inches, radius = 11.5 / 2 = 5.75 inches

Using the formula V = (1/3)πr²h, plug in radius = 5.75 inches and height = 15.2 inches

Calculate the volume: V = (1/3) × 3.142 × (5.75)² × 15.2 inches³

2x^2-12x+16 factor completely

Answers

Answer:

2 (x-4) (x-2)

Step-by-step explanation:

2x^2-12x+16

Factor out a 2

2( x^2 -6x +8)

Now we factor the inside term

What multiplies to 8 and add to -6

-4*-2 =8

-4+-2 = -6

2 (x-4) (x-2)

En un polinomio P(x,y), homogéneo y completo en "x" e "y", la suma de los grados absolutos de todos sus términos es 420. ¿Cuál es su grado de homogeneidad?

Answers

Answer:

the degree of homogeneity is 20.

Step-by-step explanation:

In a polynomial P (x, y), homogeneous and complete in "x" and "y", the sum of the absolute degrees of all its terms is 420. What is its degree of homogeneity?

A homogeneous polynomial is one in which all monomials have the same degree.

This is an example of a homogeneous polynomial of degree 4 (the degree of all monomials is 4):

x ^ 4 + 3x ^ 3y + 2x ^ 2y ^ 2 + xy ^ 3 + 8y ^ 4.

As you can see, the sum of the exponents of the variables x, y in each monomial is 4.

And the number of terms is 5, that is, it is the degree of homogeneity plus 1.

In relation to the sum of the absolute degrees of all monomials or terms it will be: 4 + 4 + 4 + 4 + 4 = 4 * 5 = 20.

In general, you can say that the sum of the absolute degrees in a homogeneous polynomial will be the degree of each monomial by the number of terms = degree * (degree + 1)

Calling n, the degree of our polynomial, it must be fulfilled:

n (n + 1) = 420

=> n ^ 2 + n = 420

=> n ^ 2 + n - 420 = 0

Factoring:

(n + 21) (n - 20) = 0

=> n = -21 and n = 20.

Only the positive value makes sense, therefore n = 20.

In other words, the polynomial is of the form (excluding the coefficients):

x ^ 20 + x ^ 19 y + x ^ 18 y ^ 2 + x ^ 17 y ^ 3 + .... x ^ 3 y ^ 17 + x ^ 2y ^ 18 + xy ^ 19 + y ^ 20

That polynomial has 21 terms.

So the sum of the degrees will be 20 * 21 = 420, as required in the statement.

Therefore, the degree of homogeneity is 20.

Madison brought $42.50 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/4 as much as the sketchbook, and the sketchbook cost 2/3 the cost of the paint set. Madison had $4.00 left over after buying these items.

Answers

Answer:

Amount spent on each item is;

brush = $3.50

sketchbook = $14.00

paint set = $21.00

Completed question:

Madison brought $42.50 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/4 as much as the sketchbook, and the sketchbook cost 2/3 the cost of the paint set. Madison had $4.00 left over after buying these items. How much is each item.

Step-by-step explanation:

Let x,y and z represent the price of brush, sketchbook and paint set respectively.

The brush was 1/4 as much as the sketchbook,

x = 1/4 × y

y = 4x ....1

the sketchbook cost 2/3 the cost of the paint set

y = 2/3 × z

3y = 2z

z = 3y/2

Substituting equation 1

z = 3(4x)/2 =6x

z = 6x ....2

Total amount spent = amount he brought - amount he left with(remainder)

= $42.50 - $4.00

= $38.50

Total amount spent = x+y+z = $38.50

x+y+z = 38.50

Substituting equation 1 and 2

x + 4x + 6x = 38.50

11x = 38.50

x = 38.50/11

x = 3.5

y = 4x = 4(3.5) = 14

z = 6x = 6(3.5) = 21

Amount spent on each item is;

brush = $3.50

sketchbook = $14.00

paint set = $21.00

Which expression is equivalent to 3(1 + x) + 7?

Answers

Answer:

3+3x+7 or 3x+10

Step-by-step explanation:

Answer:

3x+10

Step-by-step explanation:

3(1 + x) + 7

Distribute

3+3x+7

Combine like terms

3x+3+7

3x+10

What shapes can you use to model the log and the board

Answers

Answer:

a cylinder can model a log and a rectangular prism would model a board

Least common multiples of 3v^7y^2x^5 and 24y^4x^5

Answers

Answer:

the answer is B

Step-by-step explanation:

A survey was given to a random sample of 1350 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 26% of the people said they were in favor of the plan. Determine a 95% confidence interval for the percentage of people who favor the tax plan, rounding values to the nearest tenth.

Answers

Answer:

[tex]0.26 - 1.96\sqrt{\frac{0.26(1-0.26)}{1350}}=0.237[/tex]

[tex]0.26 + 1.96\sqrt{\frac{0.26(1-0.26)}{1350}}=0.283[/tex]

Rounded the 95% confidence interval would be given by (0.2;0.3)

Step-by-step explanation:

We  know that the estimated proportion of people said they were in favor of the plan is [tex]\hat p=0.26[/tex]

We want to construct a confidence interval with 95% of confidence, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]

The confidence interval for the true proportion of interest is given by the following formula:  

[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

Replacing the info given we got:

[tex]0.26 - 1.96\sqrt{\frac{0.26(1-0.26)}{1350}}=0.237[/tex]

[tex]0.26 + 1.96\sqrt{\frac{0.26(1-0.26)}{1350}}=0.283[/tex]

Rounded the 95% confidence interval would be given by (0.2;0.3)

The linear parent function, f(x) = x, is transformed to g(x) = 2x + 7. Which
statement correctly compares the graphs of the functions?

Answers

Final answer:

The graph of g(x) = 2x + 7 is a vertical shift of the graph of f(x) = x by 7 units upward.

Explanation:

The linear parent function, f(x) = x, is transformed to g(x) = 2x + 7. The transformation is a vertical shift of 7 units upward and a horizontal stretch by a factor of 2. To compare the graphs of the functions, we can plot a few points and observe the differences. For example, if we consider x = 0, for the parent function f(x) = x, the output is f(0) = 0. However, for the transformed function g(x) = 2x + 7, the output is g(0) = 7. This shows that all the y-values of the transformed function are 7 units higher than the corresponding y-values of the parent function. Therefore, the statement that correctly compares the graphs of the functions is that the graph of g(x) is a vertical shift of the graph of f(x) by 7 units upward.

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Final answer:

The function g(x) = 2x + 7 has a steeper graph than f(x) = x due to a larger slope and is also shifted upward by 7 units.

Explanation:

The linear parent function f(x) = x is transformed to g(x) = 2x + 7. When comparing the graphs of the two functions, we notice that g(x) is a transformed version of f(x). Specifically, the graph of g(x) has a slope of 2, which is a steeper incline than the parent function f(x), which has a slope of 1. Additionally, g(x) has a vertical shift upwards by 7 units. Therefore, the statement that correctly compares the two graphs would indicate that g(x) is steeper and shifted 7 units up from the graph of f(x).

PLLLZZ HELP!!!!
which of these describes a unique polygon?

1.A triangle with angles 30 degrees, 60 degrees, and 90 degrees

2. A triangle with side lengths 5 cm, 4 cm, and 3 cm

3. A quadrilateral with each side length 4 cm

4. A triangle with side lengths 7 cm and 8 cm and a 40-degree angle

Answers

Answer:

3. A quadrilateral with each side length 4 cm

Step-by-step explanation:

We need to understand what is a unique polygon?

It means all regular polygons with the same number of sides are similar.

1.A triangle with angles 30 degrees, 60 degrees, and 90 degrees

It is an right triangle, so the 3 sides are not simillar, so it is wrong

2. A triangle with side lengths 5 cm, 4 cm, and 3 cm

It is a triangle with the 3 sides are not simillar, so it is wrong

3. A quadrilateral with each side length 4 cm

It is an square with the 4 sides are simillar, so it is true

4. A triangle with side lengths 7 cm and 8 cm and a 40-degree angle

It is a triangle with the 3 sides are not simillar, so it is wrong

Hence, we choose 3.

A Triangle has angles of 37 and 25 degrees. What is the measurement of the third angle?​

Answers

118. because angles in a triangle equal 180.

Answer:

x =118

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees.  Let the unknown angle be x

37+25 +x = 180

Combine like terms

62+x = 180

Subtract 62 from each side

62+x-62 = 180-62

x =118

El ancho de un jardìn de forna rectangular mide 40m y su diagonal 60m ¿Cuàl de las siguientes opciones nos indica la medida del largo del jardìn con dos decimales? A) 44,72 b) 44,55 c) 30,45

Answers

Answer:

La longitud del jardín es [tex]l \approx 44.72\,m[/tex]. (Opción A) (The length of the garden is [tex]l \approx 44.72\,m[/tex]) (Option A)

Step-by-step explanation:

El largo del jardín se calcula por el Teorema de Pitágoras (The length of the garden is now calculed by the Pythagorean Theorem):

[tex]l = \sqrt{(60\,m)^{2}-(40\,m)^{2}}[/tex]

[tex]l \approx 44.72\,m[/tex]

Answer:

A)  x = 44,72 m

Step-by-step explanation:

A rectangular shape means two dimensions width (w) and length (l)  and the internal angles are of 90⁰; therefore if we know one of its side, and a diagonal (d)  we can calculate the other side, using Pytagoras Theorem, then:

x² +  l²  = d²

x²  =  d² - l²    ⇒  x²  =  (60)²  - (40)²    ⇒   x² =  3600 - 1600

x²  =  2000

x = √2000

x = 44,72 m

Plz I need this answer thank you

Answers

Answer:

w=10.25

P=900

Step-by-step explanation:

You need to substitute those original numbers and see they dont work

In ΔWXY, the measure of ∠Y=90°, WX = 7.9 feet, and XY = 6.7 feet. Find the measure of ∠X to the nearest tenth of a degree

Answers

Answer:

32

Step-by-step explanation:

The measure of ∠X is approximately 47.9 degrees to the nearest tenth of a degree.

To find the measure of ∠X in triangle WXY, you can use the trigonometric relationship of the tangent function.

Given that ∠Y is a right angle (90°), and you have the lengths of two sides, WX and XY, you can use the following relationship:

tan(∠X) = opposite/adjacent

In this case:

Opposite side to ∠X = WX

Adjacent side to ∠X = XY

So, you have:

tan(∠X) = WX / XY

tan(∠X) = 7.9 feet / 6.7 feet

Now, you can find ∠X by taking the arctan (inverse tangent) of this value:

∠X = arctan(7.9 / 6.7)

Using a calculator, you can find:  

∠X ≈ 47.9 degrees (rounded to the nearest tenth of a degree)

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is a herd of bison, a community, ecosystem, habitat or population? An amusement park charges an admission fee of 25 dollars per person. The cost, C (in dollars), of admission for a group of p people is given by the following function. Kermit took out a 4 year loan for $5,500. He had to pay a total of $1,870 in interest payments. What rate did he pay for his loan? Which word from the passage helps the reader concludethat the Humbug's perspective has changed?O "open"O"exclaimed"o "now"O "trip" The manufacturing overhead budget at Rost Corporation is based on budgeted direct labor-hours. The direct labor budget indicates that 2,800 direct labor-hours will be required in September. The variable overhead rate is $7.00 per direct labor-hour. The company's budgeted fixed manufacturing overhead is $43,120 per month, which includes depreciation of $3,640. All other fixed manufacturing overhead costs represent current cash flows. The September cash disbursements for manufacturing overhead on the manufacturing overhead budget should be: The map shows the length (in miles) of shoreline along the Gulf of Mexica for each state that borders the body of water. What is the probability that a ship coming ashore at a random point in the Gulf of Mexico lands in the given state? Round your answers to the nearest whole percent. Concord Corporation sells a product for $50 per unit. The fixed costs are $760000 and the variable costs are 60% of the selling price. As a result of new automated equipment, it is anticipated that fixed costs will increase by $120000 and variable costs will be 50% of the selling price. The new break-even point in units is: (08.01 MC)A researcher posts a newspaper advertisement offering $10 in exchange for participation in a short study. The researcher accepts the first 10 people who respond to the advertisement. Which offollowing statements true about the sample?It is not a valid sample because it is only a short study,It is a valid sample because money is offered to participants.It is a valid sample because the first 10 people were selected to participate.It is not a valid sample because it is not a random sample of the population find the length of the hypotenuse round your answer to the nearest hundred Write an equation to the nth term of the arithmetic sequence. (write the equation for the sequence)15, 13, 11, 9 what is the difference about the trapezoid formula from the triangle formula A punch recipe calls for twice as much lemonade as lime soda.It calls for half as much ice cream as lime soda. If you use 2gallons of line soda, how much lemonade will you need andhow much ice cream will you need? pls help!! :):):):):) Which leader devised the anaconda plan 7/6d+4/3=1/3 solving for d Identify the consumers described below as herbivore, omnivore, or carnivore.A particular snake eats a mouse, lizard, and other sources of meat.A cow eats grass, grain, and other producers.A grizzly bear eats plants, insects, and other animals.DONE PLZ HELP ASAP FIRST ANSWER GETS BRAINLEST WEN THERES TWO PPL WHO ANSWER QUESTION I CHOOSE WHO FIRST 1 WAS GETS IT N FIVE STAR N THANKS 14 POINTS Chapter 9 summary for the outsiders 10) According to the passage, the Great Wall was built to prevent foreigninvaders from breaching Chinese boundaries. Based on this information,you can tell that the ChineseA)hoped to trade with other countries.B) wanted to invade other countries.C)were concerned for their safety.D) needed a larger army. why are viruses (specifically) so dangerous? If writers want to suggest a character may be guilty without directly stating it, they would use explicit wording implicit wording simple wording complicated wording Steam Workshop Downloader