By using trigonometric relations, we will see that the difference in height is 14.2 ft.
How to find the difference in height?
Here we will have two right triangles, in both, the hypotenuses are equal to 50 ft, but in one, one of the angles measures 25° and in the other, the same angle measures 45°.
The height of the kite would be given by the opposite cathetus to these angles, then we can use the relation:
sin(x) = (opposite cathetus)/(hypotenuse).
Then we can compute:
sin(25°) = h/50ft
sin(25°)*50ft = h = 21.1 ft
sin(45°) = h'/50ft
sin(45°)*50ft = 35.3 ft
The difference is:
35.36ft - 21.13ft = 14.2 ft
So the correct option is the first one.
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The approximate difference in the height of the kite when the string makes a 25° angle with the ground and when the string makes a 45° angle with the ground is 14.2 feet.
To find the approximate difference in the height of the kite when the string makes a 25° angle with the ground and when it makes a 45° angle, we can use basic trigonometry.
Step 1: Calculate the Height at 25°
When the string makes a 25° angle with the ground:
The height (h) can be calculated using the sine function:
h = L · sin(θ)
where:
- ( L ) = length of the string = 50 feet
- (θ) = angle with the ground = 25°
Calculating this:
[tex]\[ h_{25^\circ} = 50 \cdot \sin(25^\circ) \][/tex]
[tex]\[ h_{25^\circ} \approx 50 \cdot 0.4226 \approx 21.1 \text{ feet} \][/tex]
Step 2: Calculate the Height at 45°
When the string makes a 45° angle with the ground:
Using the same sine function:
h = L · sin(θ)
where:
- θ = 45°
Calculating this:
[tex]\[ h_{45^\circ} \approx 50 \cdot 0.7071 \approx 35.4 \text{ feet} \][/tex]
Step 3: Calculate the Difference in Height
Now, we find the difference in the heights:
[tex]\[ \text{Difference} = h_{45^{\circ}} - h_{25^{\circ}} \][/tex]
Difference = 35.4 - 21.1 ≈ 14.3 feet
Rounding to the nearest tenth, the approximate difference in height of the kite is 14.3 feet.
Therefore, the closest answer choice is 14.2 feet.
Solve:
|x +4| +8 > 2
Answer:
all real numbers
Step-by-step explanation:
|x +4| +8 > 2
Subtract 8 from each side
|x +4| +8-8 > 2-8
|x +4| >-6
Absolute values must be greater than or equal to zero
This is always true so x can be any value
Construct a tangent to the circle at point B.
PLEASE HELP!!
Answer:
this is it
Step-by-step explanation:
and yes that is greg heffley
The construction of the tangent to the circle at point P gives the
attached image having markings which are the steps in the construction.
How can the tangent to the circle be constructed?
The steps to draw a tangent to a circle are as follows;
With the straight edge, construct passing through the center of the circle P and the point B on the circle and extend the further from the point BPlace the compass at point P and draw an arc intersecting the above line on both sides of point P at points Q and RExtend the compass to make it larger than PQ, place the compass at points Q and draw an arc on one side of the line PQPlace the compass on point R and with the same radius (arc width) above and draw an arc on the same side of the circle intersecting the arc drawn aboveJoin the point of intersection of the arcs to the point B to complete the construction of the tangent to the circle
A drawing showing the completed drawing and the relevant markings in
the steps to construct a tangent to a circle created with MS Visio is
attached.
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52% of 0.75 is what number?
Answer:
.39
Step-by-step explanation:
you have to change the percentage into a decimal, .52 then multiply that by .75
Answer:
It's 39
Step-by-step explanation:
Can someone please help me with these?
Answer:
Ⓒ {1, 2, 3, 6, 9, 13, 14}
Step-by-step explanation:
One way to find the union of two sets is to list all the elements of both sets in order, then delete any duplicates.
Here, joining the two sets gives ...
{1, 6, 2, 3, 14, 2, 9, 13, 1}
Putting these elements into numerical order, we have ...
{1, 1, 2, 2, 3, 6, 9, 13, 14}
I have highlighted the duplicates. Deleting those gives us the desired union of the two sets:
X ∪ Y = {1, 2, 3, 6, 9, 13, 14} . . . . . matches choice C
Ramesh examined the pattern in the table. Ramesh says that based on the pattern 7 to the power of -5 equals -16,807 . Which statement explains where the Ramesh is correct?
(I will mark brainliest)
D) Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7^-5 = 1/7/7/7/7/7 = 1/16,807.
I just took the quiz on edge
Question 6 of 42
1 Point
Which of the following values of x makes the rational expression below
undefined?
X +9
O A. O
O B. 9
O C. 3
O D.-9
The value of the rational expression which is undefined is x = -9
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.
Given data ,
Let the equation be represented as A
The rational expression is undefined when the denominator is equal to zero. So, we need to solve the equation:
x + 9 = 0
Subtracting 9 from both sides, we get
x = -9
Therefore, the value of x that makes the rational expression undefined when x = -9, because it would make the denominator equal to zero.
Hence , the expression is x = -9
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36.1 is what percent of 95?
Answer:
38
Step-by-step explanation:
Answer:
38 %
Step-by-step explanation:
hope it helps
Using the order of operations, what should be done first to evaluate (negative 4) squared + 6 divided by (negative 3 + 4) (2) minus 5? Subtract 5 from 2. Divide 6 by –3. Add –3 and 4. Multiply 4 and 2.
Answer:
C
Step-by-step explanation:
Add -3 and 4
Answer:
C
Step-by-step explanation:
A test is worth 50 points. Multiple-choice questions are worth 1 point, and
short-answer questions are worth 3 points. If the test has 20 questions, how
many multiple-choice questions are there?
Answer:
The answer is 2
Step-by-step explanation:
This is because 3 times 16 is 48, so add 2 more multiple choice questions and it equals 50. Hope this helps :p
Answer:
5 multiple choice questions
Step-by-step explanation:
Set 1 point questions to "x" and 3 point questions to "y".
You can form the equations:
x + y = 20
1x + 3y = 50
Using substitution, you can rewrite the first equation to: "x = 20 - y" and plug it into the bottom equation.
1(20-y) + 3y = 50, then open parenthesis and combine like terms
2y = 30, then divide both sides by 2
y = 15, there 20 total questions, and 15 short answer questions, so there are 5 multiple choice questions
3*15+1*5 = 45 + 5 = 50
A music fraternity is giving instrument lessons as part of a
fundraiser to help repair old instruments for local middle schools
and high schools. Each student pays $8 per lesson. If the fraternity
gives 21 lessons per week, about how much will they be able to
donate to the schools after 18 weeks?
more than $3300
less than $2300
$2800 to $3300
$2300 to $2800
Answer:
2800 to 3300 i believe
Each letter of the word PROBABILITY is written on an individual card, each of which
is the same size, and all are put in a bag. A card is drawn without looking. Find
P(Letter A or Letter B)
Inclusive Event
Independent Event
O Dependent Event
Mutually Exclusive Event
Answer:
P(Letter A or Letter B)
During a basketball game, Stephanie made a total of 20
shots, some of them worth two points and some of them
worth three points.
If Stephanie scored 48 points in the game (and none of
them came from single point free throws), how many two
point shots did she make?
Answer:
24 two point shots
Step-by-step explanation:
48/2 =
24
If 15 out of every 75 new salons are still open for business after 3 years, what percent of salons are NOT still in business after 3 years?
Answer:
80%
Step-by-step explanation:
If 15 salons are open, this means that 60 are closed. 60 out of the 75 salons is 80% if you divide 60 by 75.
Final answer:
To find the percentage of new salons not still in business after 3 years, subtract the number still open from the total, divide by the total number of salons, and multiply by 100. This calculation shows that 80% of the new salons have closed.
Explanation:
The question asks us to find what percent of new salons are not still in business after 3 years given that 15 out of every 75 are still open. First, we find the number of salons that closed. Since 15 salons are still open, the number that closed is 75 - 15, which equals 60 salons. To find the percentage of salons that closed, we divide the number of closed salons by the total number of new salons, and then multiply by 100.
So, the calculation to find the percentage that closed is:
(60 closed salons / 75 total salons) × 100 = 80%
Therefore, 80% of the new salons are not still in business after 3 years.
A French submarine is at a depth of -200 meters, and a Russian submarine is at
a depth of -205 meters, which submarine is deeper?
A. French submarine
B. Russian submarine
The Russian submarine is deeper since -205 meters is a greater depth than -200 meters when comparing negative values.
To compare the depths of the two submarines, we need to consider the numerical value of their depths. When we look at depths, the larger the negative number, the deeper the location. In this case, a depth of -200 meters means the French submarine is closer to the surface than a depth of -205 meters.
Therefore, the Russian submarine is deeper because -205 is lower than -200 when considering depths below sea level.
Find the perimeter of the parallelogram (khan academy) (15 points)
The perimeter of the parallelogram is 18 units.
We have,
From the graph,
There are two pairs of parallel sides.
Now,
One pair of parallel sides = 4 units each
Another pair of sides = x units each
And,
Applying Pythagorean theorem in ΔABC.
x² = 4² + 3²
x² = 16 + 9
x² = 25
x = 5
Now,
The perimeter of the parallelogram.
= x + x + 4 + 4
= 5 + 5 + 4 + 4
= 18 units.
Thus,
The perimeter of the parallelogram is 18 units.
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(2y-1)(4y-3)
A.-2y+3
B.8y^2-10y-3
C.8y^2-10y+3
D.8y^2-2y+3
Answer:Simplifying
(2y + -1)(4y + -3) = 0
Reorder the terms:
(-1 + 2y)(4y + -3) = 0
Reorder the terms:
(-1 + 2y)(-3 + 4y) = 0
Multiply (-1 + 2y) * (-3 + 4y)
(-1(-3 + 4y) + 2y * (-3 + 4y)) = 0
((-3 * -1 + 4y * -1) + 2y * (-3 + 4y)) = 0
((3 + -4y) + 2y * (-3 + 4y)) = 0
(3 + -4y + (-3 * 2y + 4y * 2y)) = 0
(3 + -4y + (-6y + 8y2)) = 0
Combine like terms: -4y + -6y = -10y
(3 + -10y + 8y2) = 0
Solving
3 + -10y + 8y2 = 0
Solving for variable 'y'.
Factor a trinomial.
(1 + -2y)(3 + -4y) = 0
Subproblem 1
Set the factor '(1 + -2y)' equal to zero and attempt to solve:
Simplifying
1 + -2y = 0
Solving
1 + -2y = 0
Move all terms containing y to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -2y = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -2y = 0 + -1
-2y = 0 + -1
Combine like terms: 0 + -1 = -1
-2y = -1
Divide each side by '-2'.
y = 0.5
Simplifying
y = 0.5
Subproblem 2
Set the factor '(3 + -4y)' equal to zero and attempt to solve:
Simplifying
3 + -4y = 0
Solving
3 + -4y = 0
Move all terms containing y to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -4y = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -4y = 0 + -3
-4y = 0 + -3
Combine like terms: 0 + -3 = -3
-4y = -3
Divide each side by '-4'.
y = 0.75
Simplifying
y = 0.75
Solution
y = {0.5, 0.75}
Step-by-step explanation:
Answer:
C. 8y² - 10y + 3
Step-by-step explaination:
[tex](2y-1)(4y-3)[/tex]
[tex]2y(4y - 3) - 1(4y - 3)[/tex]
[tex]8 {y}^{2} - 6y - 4y + 3[/tex]
[tex]8 {y}^{2} - 10y + 3[/tex]
Choose the factored form of the quadratic expression.
6x^2+ 33x-18
(6x-3)(x+6)
(9x+1)(x-2)
(9x-1)(x+2)
(6x+3)(x-4)
What is 5 to the power of 2 times 5 to the power of 3? *
5 to the power of 5
56
0
Answer:
5 to the power of 5
Step-by-step explanation:
a 19.7%
b 24.6%
c 80.3%
d 15%
Answer:
. How to calculate percentage of a number. Use the percentage formula: P% * X = Y
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
Step-by-step explanation:
cylinder has a height of 15 centimeters and a radius of 10 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
cubic centimeters
Answer: 4712.39 centimeters
Step-by-step explanation: Using the volume of a cylinder calculator, I got the answer of 4712.3889803847 centimeters, but rounded it to the nearest hundreth. Hope this helps!
The volume of the cylinder will be 4,710 cubic centimeters.
What is the volume of a right circular cylinder?Let r be the radius and h be the height of the cylinder. Then the volume of the cylinder will be given as,
V = π r²h cubic units
Given that:
Radius, r = 10 cm
Height, h = 15 cm
The volume of the cylinder is calculated as,
V = 3.14 x 10 x 10 x 15
V = 4,710 cubic cm
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How much would $500 invested at 6% interest compounded monthly be
worth after 4 years? Round your answer to the nearest cent.
ACO) - P(1)
15 BRAINLY
What is the slope, m, and y-intercept for the line that is plotted on the grid below?
On a coordinate plane, a line goes through points (0, 4) and (negative 2, 0).
Answer:
y=-2x+4
Step-by-step explanation:
we use the formula for the line and substitute what we already know, which is that the y-intercept is (0,4):
y=mx+4
then, you use the formula for slope:
Δy/Δx
(4-0)/(0-2)
4/-2
-2
you substitute the slope into the equation and the answer:
y=-2x+4
Hope this helps :)
P.S: m is the variable for the slope
complete the table of values for x+y=6
Please could you write it down as a table ,
The complete table of values for the equation x + y = 6
x 4 8 12
y 2 -2 4
Completing the table of values for the equation
From the question, we have the following parameters that can be used in our computation:
x + y = 6
This can be expressed as
y = 6 - x
The missing y values are at x = 4, 8 and x = 12
Substitute the known values in the above equation, so, we have the following representation
y = 6 - 4 = 2
y = 6 - 8 = -2
y = 6 - 12 = -4
So, the missing values are 2, -2 and 4
Question
Complete the table of values for x+y=6
x 4 8 12
y
Select the correct answer.
What is a car loan?
© A.
a way to pay in advance for using a car for a given time period
B. a way to pay for a car that is dependent on the number of miles you drive
C
a way to borrow money from a bank or financial institution to pay for a car
Reset
Next
Answer:
The answer is C, take the quiz and you are bound to get it right.
Step-by-step explanation:
Which fraction is equivalent to 0? Use the number line to help answer the question.
Zero-sixths
Three-sixths
Four-sixths
Six-sixths
Please help!
A fun-size" package of Bottle Caps contains three candies, and the five possible flavors are Cherry, Grape,
Orange, Root Beer, and Cola. All flavors occur with equal probability. You open a single package.
A. What is the probability that all three candies are Grape?
B. What is the probability that at least one candy is Cherry?
Step-by-step explanation:
Total candies = 3
Flavours = 5
P of grape candies = 3/5
P of cherry candy = 1/5
I didn’t mean to click that answer.
The square below represents one whole.
What percent is represented by the shaded area?
%.
Answer: 43%
Step-by-step explanation:
The graph is out of 100 squares. 10 horizontally. Count 4 down thats 40 and the 5th line is 3.
Answer
43%
Step-by-step explanation:
if the area is 100 and the shaded part is 43 then it is 43%
plus i just did this lesson
lol
There are 5 pennies, 7 nickels, and 9 dimes in an antique coin collection
two coins are to be selected at random from the collection. Find each
10. P(selecting 2 pennies), if no replacement occurs
11. P(selecting 2 pennies), if replacement occurs
12. P(selecting the same coin twice), if no replacement occurs
Answer:
10. 4.8%
11. 5.67%
12. 30.39%
Step-by-step explanation:
The total number of coins is 5 + 7 + 9 = 21 coins
The probability of selecting two pennies without replacemente is:
First penny: 5 possibilities over 21 coins: 5/21
Second penny: 4 possibility over 20 coins: 4/20
P(selecting 2 pennies) = (5/21) * (4/20) = 1/21 = 0.048 = 4.8%
With replacement, we have:
First penny: 5 possibilities over 21 coins: 5/21
Second penny: 5 possibilities over 21 coins: 5/21
P(selecting 2 pennies) = (2/21) * (2/21) = 25/441 = 0.0567 = 5.67%
The cases for selecting the same coin are:
First penny: 5 possibilities over 21 coins: 5/21
Second penny: 4 possibilities over 20 coins: 4/20
P(selecting 2 pennies) = (5/21) * (4/20) = 20/420
First nickel: 7 possibilities over 21 coins: 7/21
Second nickel: 6 possibilities over 20 coins: 6/21
P(selecting 2 nickels) = (7/21) * (6/21) = 42/441
First dime: 9 possibilities over 21 coins: 9/21
Second dime: 8 possibilities over 20 coins: 8/21
P(selecting 2 dimes) = (9/21) * (8/21) = 72/441
P(selecting the same coin twice) = P(selecting 2 pennies) + P(selecting 2 nickels) + P(selecting 2 dimes) = (20+42+72)/441 = 0.3039 = 30.39%
The probabilities for picking 2 pennies either with or without replacement from a total of 21 coins is calculated. With no replacement, the chance is approximately 4.76%, while with replacement, it is approximately 5.67%. It's impossible to choose the same coin twice without replacement.
Explanation:The total number of coins is 5 pennies + 7 nickels + 9 dimes = 21 coins. We are asked to calculate the probability of selecting 2 specific coins from these total coins.
10. P(selecting 2 pennies), if no replacement occurs:
Since no replacement is occurring, we first select one penny out of 5, then another penny out of the remaining 4. That constitutes 5/21 * 4/20 = 0.0476, or 4.76% probability of selecting two pennies without replacement.
11. P(selecting 2 pennies), if replacement occurs:
Since replacement is possible in this scenario, even after choosing a penny, we still have 5 pennies left. Hence, the probability of selecting a penny twice is (5/21) * (5/21) = 0.0567, or approximately 5.67%.
12. P(selecting the same coin twice), if no replacement occurs:
If no replacement occurs, it's impossible to choose the exact same coin twice because once a coin is chosen, it is removed from consideration. Therefore, the probability here is 0.
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pedro concluded:
"Its not possible to map circle A onto circle B using a sequence of rigid transformations, so the circles are not similar."
What error did pedro make in his conclusion?
A. One more transformation - a rotation - would map circle A onto circle B, so the circle are similar.
B. One more transformation - a dilation - would map circle A onto circle B. so the circles are similar.
C. There is no error. This is a correct conclusion.
Please help me
Answer:
B. One more transformation - a dilation - would map circle A onto circle B. so the circles are similar.
Step-by-step explanation:
If you dilate the circle A by factor ½, it will become congruent to circle B