Answer: y = 5/2x + 6
Step-by-step explanation:
y - y₁ = m(x - x₁)
y - (-9) = 5/2(x- (-6))
y + 9 = 5/2(x+ 6)
y +9 = 5/2x + 15
y = 5/2x + 15 - 9
y = 5/2x +6
Find the angles of a rhombus if the ratio of the angles that the diagonals form with a side is 6:9.
Answer:
The measures of the angles of the rhombus are 72° , 108° , 72° , 108°
Step-by-step explanation:
* Lets revise the properties of the rhombus
- It has 4 equal sides
- Each two opposite angles are equal
- Each two adjacent angles are supplementary (their sum = 180°)
- The diagonals are perpendicular to each other
- The diagonals bisect the vertices angles (divide each vertex into two
equal parts)
* Now lets solve the problem
- Let the name of the rhombus is ABCD
- The two diagonals are AC and BD
- Let the diagonals AC and BD make the angles BAC and ABD with
side AB
∵ The diagonals of the rhombus bisect the vertex angles
∴ m∠BAC is half m∠A
∴ m∠ABD is half m∠B
- There is a ratio between the measures of the angles BAC and ABD
∵ m∠BAC : m∠ABD = 6 : 9
∵ m∠A + m∠B = 180° ⇒ consecutive angles
∴ m∠BAC + m∠ABD = 1/2 × 180° = 90°
∵ m∠BAC : m∠ABD : their sum
6 : 9 : 15⇒(6 + 9)
? : ? : 90° ⇒(the sum of the angles)
∴ m∠BAC = 6/15 × 90° = 36°
∴ m∠ABD = 9/15 × 90° = 54°
∵ m∠BAC is half m∠A
∴ m∠A = 36° × 2 = 72°
∵ m∠ABD is half m∠B
∴ m∠B = 54° × 2 = 108°
* The measures of the angles of the rhombus are 72° , 108° , 72° , 108°
Answer:
72°, 108°, 72°, and 108°
Notes:
You should probably give the other person Brainliest, the answered first and they have a better explanation.
10 points. The diameters of two circles are in the ratio of 2:3. Find the area of the smaller circle if the area of the larger is 63π square meters.
[tex]63 \times \frac{2}{3} = \frac{63 \times 2}{3} = \frac{126}{3} = 42 \\ [/tex]
The area of the smaller circle is
[tex]42\pi \: square \: meters[/tex]
The two prisms below are similar. What is the value of x?
A. 30
B. 1
C. 9
D. 3
Answer:
D. 3
Step-by-step explanation:
If the prisms are said to the similar, that means that the ratio/relation between their corresponding sides have to equal, so
[tex]\frac{x}{1} = \frac{9}{3} = \frac{30}{10}[/tex]
We can easily use the part x/1 = 9/3 to make a cross-multiplication that would give us:
x = (1 * 9) / 3 = 9/3 = 3
So, the green prism is a dilated version of the blue one by a dilation/scale factor of 3.
As a math teacher, I would guide you through solving the problem of finding the value of \( x \) for two similar prisms. However, without specific information about the measurements of the prisms, we can't calculate this value. Similarity in prisms implies that corresponding lengths are proportional, but without knowing these lengths or their ratios, we can't determine \( x \).
However, let's assume you have provided the dimensions for both prisms. For similar prisms, the ratio of any two corresponding linear measurements (such as the height, width, or depth) is the same. If we were given that the ratio of a pair of corresponding dimensions is 1:3, for example, then all other pairs of corresponding dimensions would also have a 1:3 ratio.
Here's a typical process to follow if you had the dimenions:
1. Determine the ratio of corresponding lengths:
Suppose for the smaller prism, a certain length is given as 'a', and for the corresponding length on the larger prism, the length is given as '3a' (implying a 1:3 ratio for the sides).
2. Apply the ratio to unknown lengths:
If 'x' is an unknown length on the larger prism and its corresponding length on the smaller prism is given as some value 'b', then we set up the proportion \( \frac{b}{x} = \frac{1}{3} \).
3. Solve for 'x':
To find 'x', you would solve the proportion by cross-multiplying and dividing as necessary, \( x = 3b \).
However, since we don't have actual numbers here, we can't follow these steps. To answer this question, I would need specific lengths for the corresponding sides of the prisms. Once provided, I can demonstrate the mathematical process to find \( x \). For now, there is not enough information to solve for \( x \), and none of the options A, B, C, or D can be verified as correct.
Please please help me
Answer:
89.0°
Step-by-step explanation:
The segment from the centre of the circle to the chord is a perpendicular bisector, hence
third side of right triangle = 12.7 ÷ 2 = 6.35
The angle subtended at the centre by arc CD is twice the angle subtended by the right triangle at the centre
The triangle from the centre to C is congruent to the triangle from the centre to D
Calculate the angle (Θ ) in the right triangle using the sine ratio
sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6.35}{9.06}[/tex]
Θ = [tex]sin^{-1}[/tex] ( [tex]\frac{6.35}{9.06}[/tex] ) ≈ 44.5°
Hence
measure of CD = 2 × Θ = 2 × 44.5 = 89.0°
given any triangle ABC labeled as shown, the law of sines states that:
Answer:
A. The ratios of the sine of the angle to the opposite side are the same.
Step-by-step explanation:
The law of sines is ...
sin(A)/a = sin(B)/b = sin(C)/c
Answer:
Option A is correct that is the ratio of the sine of an angle to the length of the opposite side is the same for all part of the triangle.
Step-by-step explanation:
Given:
Three angles of the triangles = ∠A , ∠B and ∠C
Three Sides of the triangle = a , b , c
We need to find statement which states the Law of Sines.
We know that Law of Sines is given by,
[tex]\frac{a}{sin\,A}=\frac{b}{sin\,B}=\frac{c}{sin\,C}[/tex]
or
[tex]\frac{sin\,A}{a}=\frac{sin\,B}{b}=\frac{sin\,C}{c}[/tex]
Therefore, Option A is correct that is the ratio of the sine of an angle to the length of the opposite side is the same for all part of the triangle.
Which box plot represents a set of data that has the least mean absolute deviation?
Answer:
try the second one because it is the smallest and close togehet so maybe that means that the mean is closer to the number and it nots some outlier.
Step-by-step explanation:
If the box plot or the distribution is spread out then the mean absolute deviations i.e. MAD is high.
and if the box plot is clustered that is the distribution is less spread out that is all the data values are close to the center value then the mean absolute deviation i.e. MAD is small.
From the given four box plot we see that the second box plot is less spread and the data values are close to the mean of the data.
Hence, it will lead to the least Mean absolute deviation.
Does each situation describe a survey, an experiment, or an observational study?
Select Survey, Experiment, or Observational Study for each situation.
Answer:
Observational study, survey, experiment
Step-by-step explanation:
The first is an observational study. The children make the choices and the choices are observed.
The second one is a survey. The employees are given questionnaires to answer.
The third one is an experiment. The nurse selects random samples to compare the effects of different ointments.
PLEASE HELP!!
A survey was done that asked visitors at a theme park to indicate whether they drove or flew on a plane to get to the park, and whether they live up to 90 miles or more than 90 miles from the park.
What is the probability that a randomly selected visitor who lives more than 90 miles from the park drove?
Enter your answer, rounded to the nearest whole percent, in the box.
Answer: 28%
Step-by-step explanation:
Add all the numbers in the table = 593
Divide 165/593 = .278
Move decimal 2 places to the right = 27.8
Rounds up to 28%
A clothing store sells T-shirts, t, for $8 a shirt; shorts, s, for $12; and hats, h, for $10 each. The store earned $406 in revenue last month. The store sold three times as many T-shirts than hats, and twice as many shorts as hats. Using the substitution method, how many T-shirts, shorts, and hats did the store sell?
Step-by-step explanation:
From the total revenue, we know that:
8t + 12s + 10h = 406
We're also told:
t = 3h
s = 2h
If we substitute these for t and s:
8 (3h) + 12 (2h) + 10h = 406
24h + 24h + 10h = 406
58h = 406
h = 7
Now we can find t and s:
t = 3h = 21
s = 2h = 14
The store sold 21 T-shirts, 14 shorts, and 7 hats.
The clothing store has sold a total of 21 t-shirts, 7 hats, and 14 shorts.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given,
T-shirts, t, for $8 a shirt; shorts, s, for $12; and hats, h, for $10 each and stored earn $406
So,
8t + 12s + 10h = 406
And
the store sold three times as many T-shirts than hats
So,
t = 3h
And
twice as many shorts as hats.
s = 2h
By substituting t and s into the equation first
8(3h) + 12(2h) + 10h = 406
h = 7
Now
t = 21 and s = 14.
Hence, The clothing store has sold a total of 21 t-shirts, 7 hats, and 14 shorts.
For more about the equation,
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Please help me out with this
Answer:
48
Step-by-step explanation:
central angle with arc of <y is 96
so circumference angle 48
Answer:
y = 48°
Step-by-step explanation:
The angle on the circle ( the inscribed angle ) y is half of the central angle subtended by the same arc on the circle, hence
y = 0.5 × 96° = 48°
Cadence is substituting t=4 and t=6 to determine if the two expressions are equivalent.
2(7t-3)
15t(-12)
Which statement is true?
a. Both expressions are equivalent to 78 when t=6.
b. Both expressions are equivalent to 81 when t=6.
c. Both expressions are equivalent to 48 when t=4.
d. The expressions are equivalent.
Answer:
Both expressions are equivalent to 78 when t = 6 ⇒ answer A
Step-by-step explanation:
* To solve this problem substitute the value of t and then check
the answer
∵ The first expression is 2(7t - 3) ⇒ simplify it
# 2(7t) = 14t
# 2(3) = 6
∴ 2(7t - 3) = 14t - 6
- Substitute t by 4
∴ 14t - 6 = 14(4) - 6 = 56 - 6 = 50
- Substitute t by 6
∴ 14t - 6 = 14(6) - 6 = 84 - 6 = 78
∵ The second expression is 15t - 12
- Substitute t by 4
∴ 15t - 12 = 15(4) - 12 = 60 - 12 = 48
- Substitute t by 6
∴ 15t - 12 = 15(6) - 12 = 90 - 12 = 78
- The first expression has two values
# 50 when t = 4
# 78 when t = 6
- The second expression has two values
# 48 when t = 4
# 78 when t = 6
- From these information
# The two expressions have the same value 78 when t = 6
∴ Both expressions are equivalent to 78 when t = 6
Use the fact that the bacteria is doubling every five minutes. What fraction of the bottle was full at 11:20 a.m.?
Answer: D: 1/16
Step-by-step explanation:
Answer:
the answer is 1/16
Step-by-step explanation:
Consider the two equations, y=5(x-2)^2-6 and (y+2)^2=9
How many solutions are there to this system? Without solving, give a convincing argument explain why there are that many solutions to the system.
Answer:
One solution. A system of linear equations has one solution when the graphs intersect at a point.
1\small{1}
1
2\small{2}
2
3\small{3}
3
-1\small{\llap{-}1}
-
1
1\small{1}
1
2\small{2}
2
3\small{3}
3
-1\small{\llap{-}1}
-
1
yy
y
xx
x
No solution. A system of linear equations has no solution when the graphs are parallel.
1\small{1}
1
2\small{2}
2
3\small{3}
3
-1\small{\llap{-}1}
-
1
1\small{1}
1
2\small{2}
2
3\small{3}
3
-1\small{\llap{-}1}
-
1
yy
y
xx
x
Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
Step-by-step explanation:
What is the total area of the prism?
Answer:
The total area of the prism is [tex]SA=(\frac{9\sqrt{3}}{2}+54)\ in^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the triangular prism of the figure is equal to
[tex]SA=2B+PL[/tex]
where
B is the area of the triangular face
P is the perimeter of the triangular face
L is the length of the prism
Find the area of the base B
The base is an equilateral triangle
so
Applying the law of sines the area is equal to
[tex]B=\frac{1}{2}(3)^{2}sin(60\°)[/tex]
[tex]B=\frac{9\sqrt{3}}{4}\ in^{2}[/tex]
Find the perimeter P of the triangular face
[tex]P=(3+3+3)=9\ in[/tex]
we have
[tex]L=6\ in[/tex]
substitute
[tex]SA=2(\frac{9\sqrt{3}}{4})+(9)(6)[/tex]
[tex]SA=(\frac{9\sqrt{3}}{2}+54)\ in^{2}[/tex]
4) For questions a-c use the equation y − 2 = 13(x + 5) given in point slope form.
a) What is the slope of the line? b) What is a coordinate point on the line?
c) Sketch the graph of y − 2 = 13(x + 5) on the graph below:
Answer:
a) 13, b) (-5, 2)
Step-by-step explanation:
Point slope form of a line is:
y − y₁ = m (x − x₁)
where m is the slope and (x₁, y₁) is a point on the line.
In this case, m = 13 and (x₁, y₁) = (-5, 2).
Here's a graph:
desmos.com/calculator/pknwab84xs
what is the period of the parent cosine function, y = cos(x)
Answer:
2π
Step-by-step explanation:
This is a little something you have to memorize, but you could derive it from the equation pb = 2π. In the parent function, the b value is 1, so the period, p, is equal to 2π/1 or just 2π.
What is the period of the parent cosine function, y = cos(x)?
360 degrees
What is the period of the cosine function shown in the graph?
1080 degrees
Which type of transformation of the parent function is shown by the graph?
horizontal stretch
the volume of rectangular prism that measures 7 meters long, 9 meters wide, and 6 meters high is 378m^3
True or False
Answer:
Step-by-step explanation:
True
7 X 9 X 6 = 378
Answer:
First option: True.
Step-by-step explanation:
To know if the volume of this rectangular prism is 378 m³, you need to use the formula for calculate the volume of a rectangular prism:
[tex]V=lwh[/tex]
Where "l" is the lenght, "w" is the width and "h" is the height.
You know that that this rectangular prism measures 7 meters long, 9 meters wide, and 6 meters high, then you can substitute these values into the formula.
Therefore, the volume of the rectangular prism is:
[tex]V=(7m)(9m)(6m)\\V=378m^3[/tex]
Then the answer is: True.
A bag contains blue and green marbles. The probability of drawing a green marble and then a blue marble, P(G, then B), without replacement is 14⋅1. How many green and blue marbles are in the bag at the beginning?
A. 1 green and 4 blue
B. 4 green and 1 blue
C. 1 green and 3 blue
D. 3 green and 1 blue
Answer:
the answer is C
Step-by-step explanation:
I THOUGHT IT WAS B BUT I WAS WRONG
1 green and 3 blue are in the bag at the beginning.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Given
The sum has been solved using a tree diagram.
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How many revolutions does a go kart with a wheel circumference of 62.8318 inches make in a 1609 m race? Please answer as quickly as possible!
Answer: 1008 revolutions
Step-by-step explanation:
1 revolution is equal to [tex]2\pi r[/tex]
To find how many revolutions the wheel makes, you must divide the distance traveled in the race between the circumference of the wheel
You must first convert 62.8318 in to meters.
We know that 1 inch is 0.0254 meters
Then
[tex]62.8318\ in*\frac{0.0254\ m}{1\ in}= 1.5959\ m[/tex]
[tex]revolutions = \frac{1609}{1.5959}\\\\revolutions=1008.21\\[/tex]
Finally The wheel made 1008.21 revolutions
Which sequence is generated by the function f(n 1) = f(n) – 2 for f(1) = 10? (a) –10, –12, –14, –16, –18, ... (b) –2, 8, 18, 28, 38, ... (c) 8, 18, 28, 38, 48, ... (d) 10, 8, 6, 4, 2, ...
Answer:
d
Step-by-step explanation:
Given
f(n + 1) = f(n) - 2 with f(1) = 10
To generate the sequence substitute values for n into the recursive formula.
f(1) = 10
f(2) = f(1) - 2 = 10 - 2 = 8
f(3) = f(2) - 2 = 8 - 2 = 6
f(4) = f(3) - 2 = 6 - 2 = 4
f(5) = f(4) - 2 = 4 - 2 = 2
The first 5 terms are 10, 8, 6, 4, 2
Answer:
D,10,8,6,4,2
Step-by-step explanation:
Please help me
Show your work
Answer:
No, the ladder will not be save at the height 16.5 feet from the ground
She must to buy 9 rolls to have enough crepe papers to decorate her ceiling
Step-by-step explanation:
* Lets change the story problem to mathematics information
- The ladder , the wall and the ground formed together a right
angle triangle
- The wall and the ground are perpendicular to each other
- The length of the ladder is the hypotenuse of the triangle
- The vertical height of the ladder is the vertical leg of the triangle
- The horizontal distance between the ladder and the vertical wall
on the ground is the horizontal leg of the triangle
* Lets revise the trigonometry functions
- In any right angle triangle:
# The side opposite to the right angle is called the hypotenuse
# The other two sides are called the legs of the right angle
* If the name of the triangle is ABC, where B is the right angle
∴ The hypotenuse is AC
∴ AB and BC are the legs of the right angle
- ∠A and ∠C are two acute angles
- For angle A
# sin(A) = opposite/hypotenuse
∵ The opposite to ∠A is BC
∵ The hypotenuse is AC
∴ sin(A) = BC/AC
# cos(A) = adjacent/hypotenuse
∵ The adjacent to ∠A is AB
∵ The hypotenuse is AC
∴ cos(A) = AB/AC
# tan(A) = opposite/adjacent
∵ The opposite to ∠A is BC
∵ The adjacent to ∠A is AB
∴ tan(A) = BC/AB
* Lets solve the problem
- We need to calculate the measure of the angle between the
ladder and the ground, let it called Ф
- The vertical height is the opposite to this angle Ф
- The hypotenuse is the length of the ladder
∵ We have the opposite and the hypotenuse, we can use
the sin function
∵ sin(Ф) = opposite/hypotenuse
∵ The opposite is the vertical height = 16.5 feet
∵ The hypotenuse is the length of the ladder = 17 feet
∴ sin(Ф) = 16.5/17
∴ Ф = [tex]sin^{-1}\frac{16.5}{17}=76.1[/tex] dgree
- The ladder will be save if the angle between the ladder and
the ground is no more than 70°
∵ The angle between the ladder and the ground is 76.1°
∴ Its measure is greater than 70°
* The ladder will not be save at the height 16.5 feet from the ground
* Lets study the information in the problem
- Katie wants to put the crepe paper around the perimeter of the
ceiling which shaped a square of side length 12 feet
- And also from each corner to the opposite corner
- She needs the length of the 4 sides of the square and the length
of its 2 diagonals
* Lets find the length of the diagonal of the square
∵ The two adjacent sides of the square formed two legs of a right
angle triangle and the diagonal joining the endpoints of the legs
is the hypotenuse of the triangle
- Use Pythagoras theorem to find the length of the diagonal
∴ The length of the diagonal = √(s² + s²) √(2s²) = s√2
∵ The length of the side of the square = 12 feet
∴ The length of the diagonal = 12√2
* Now lets find the length of the crepe papers she needs
∵ She needs the length of the 4 sides of the square and the length
of its 2 diagonals
∴ The length of crepe papers = 12 + 12 + 12 + 12 + 12√2 + 12√2 = 81.94 feet
∵ Each roll of the crepe papers contain 10 feet
- To find the number of rolls divide the length of the crepe papers by 10
∴ The number of rolls = 81.94 ÷ 10 = 8.194
* She must to buy 9 rolls to have enough crepe papers to decorate
her ceiling
* V.I.N:
- If she decide to buy 8 rolls, some part of ceiling will not decorate
because the 8 rolls have 80 feet only and she needs 81.94 feet
Answer;
NO!!!!!!!!!!
Step-by-step explanation:
a^2 + b^2 =c^2
17^2 + b^2=16.5^2
289 + b = 272.25
-289 -289
b=[16.75
b=4.09
Adalyn drove 12 miles from her home to her school and then drove back. Graph A shows her distance from home during the trip. Graph B will show her distance from the school during the trip. Complete each statement about Graph B.
Answer: 60 mph.
(486+316+638)/24
The distances given by the table. The time driven is 24 (given by the problem). So the average speed is simply the total distance divided by the time driven.
Step-by-step explanation:
Answer:
On Graph B, at 0 minutes, the height of the graph will be at 12 miles
Then, the graph will decrease until 15 minutes, when Adalyn reaches the school. At 15 minutes, the height of Graph B will be at 0 miles.
Step-by-step explanation:
Since she is coming back from school the numbers are decreasing.
If a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation of the line in slope intercept form
Answer:
y=-2x+3
Step-by-step explanation:
Slope intercept form is y = mx + b where m is the slope, b is the y-intercept, and y and x are their respective coordinates.
The questions gives us a coordinate pair and a slope so all we need to find is the y-intercept to find the equation.
Begin by plugging in what we know.
(3) = (-2)(0) + b
3 = 0 + b
3 = b
Plug in the y-intercept (b) and slope (m)
y=-2x+3
Garvey’s Electronics store is having a storewide sale. For a television set with a regular price of x dollars, a 15 percent discount is equal to $30. Which of the following equations could NOT be used to determine x?
0.15x = 30
0.85x = x – 30
0.15x = x – 30
x – 0.15x = x – 30
Answer:
0.15x=x-30
Step-by-step explanation:
Let
x-----> the regular price
we know that
15%=15/100=0.15
so
0.15x=30
x=30/0.15=$200
Verify each case
case a) 0.15x=30
x=30/0.15=$200
therefore
The equation could be used to determine x
case b) 0.85x=x-30
x-0.85x=30
0.15x=30
x=30/0.15=$200
therefore
The equation could be used to determine x
case c) 0.15x=x-30
x-0.15x=30
0.85x=30
x=30/0.85=$35.29
therefore
The equation could not be used to determine x
case d) x-0.15x=x-30
-0.15x=-30
0.15x=30
x=30/0.15=$200
therefore
The equation could be used to determine x
The midpoint of a line segment is (-1, 4). The endpoints of the line segment are (3, y) and (-5, 10). What is the value of y?
Answer:
-2
Step-by-step explanation:
The midpoint is the average of the end point coordinates, so ...
4 = (y +10)/2 . . . . the y-coordinate is the average of the y-coordinates
8 = y +10 . . . . . . . multiply by 2
-2 = y . . . . . . . . . . subtract 10
Which pairs of polygons are congruent?
A. pairs 1, 2, and 3
B. pairs 1, 2, 3, and 4
O c. pairs 2 and 3
OD. pairs 1 and 3
What is the standard deviation for the data set?
359, 320, 365, 310, 349, 351, 310, 314, 364
Express your answer as a decimal to the nearest tenth
Answer:
The standard deviation is 22.6 to the nearest tenth
Step-by-step explanation:
* Lets study how to find the standard deviation (σ) for data set
- First step find the mean of the data
∵ The mean = the sum of the data ÷ the number of the data
# The sum of the data is
359 + 320 + 365 + 310 + 349 + 351 + 310 + 314 + 364 = 3042
# The number of the data is 9
∴ The mean = 3042 ÷ 9 = 338
- Second step find the difference between each data and the mean
and square the difference
# 359 - 338 = 21 ⇒ (21)² = 441
# 320 - 338 = -18 ⇒ (-18)² = 324
# 365 - 338 = 27 ⇒ (27)² = 729
# 310 - 338 = -28 ⇒ (-28)² = 784
# 349 - 338 = 11 ⇒ (11)² = 121
# 351 - 338 = 13 ⇒ (13)² = 169
# 310 - 338 = -28 ⇒ (-28)² = 784
# 314 - 338 = -24 ⇒ (-24)² = 576
# 364 - 338 = 26 ⇒ (26)² = 676
- Third step find the variance (σ²)
# Add all the square difference and divide the sum by the
number of data
∴ σ² = (441 + 324 + 729 + 784 + 121 + 169 + 784 + 576 + 676) ÷ 9
∴ σ² = 4604 ÷ 9 = 511.5555556
- Fourth step find the standard deviation σ it is the square root of
the variance
∴ σ = 22.6 to the nearest tenth
* The standard deviation is 22.6 to the nearest tenth
Answer:
24.0
Step-by-step explanation:
i took the test on k12
Tonya is twice Kevin's age. In three years, Tonya will be 17. And in another three years, Uncle rob will be three times Tonyas age
Answer:
i believe Tonya will be at least 26 years old or 34 years old.
Step-by-step explanation:
17+17=34
Please show all work
Answer:
I. 336 ft²Step-by-step explanation:
We have
two right triangle with legs 6ft and 8ft
one rectangle 8ft × 12ft
one rectangle 6ft × 12ft
one rectangle 10ft × 12ft
The formula of an area of a right triangle:
[tex]A=\dfrac{ab}{2}[/tex]
a,b - legs
Substitute:
[tex]A_1=\dfrac{(6)(8)}{2}=(3)(8)=24\ ft^2[/tex]
The formula of an area of a rectangle:
[tex]A=lw[/tex]
l,w - length, width (dimensions of rectangle)
Substitute:
[tex]A_2=(6)(12)=72\ ft^2\\\\A_3=(8)(12)=96\ ft^2\\\\A_4=(10)(12)=120\ ft^2[/tex]
The Surface Area:
[tex]S.A.=2A_1+A_2+A_3+A_4\\\\S.A.=(2)(24)+72+96+120=336\ ft^2[/tex]
A set of data is described as:
The data is around 7. If another measurement were taken it would probably be around 7.
Which group of measures would lead to this conclusion?
A. Range—10
Mode—7
Median—9
Mean—5
B. Range—4
Mode—6
Median—7
Mean—8
C. Range—12
Mode—9
Median—9
Mean—9
D. Range—5
Mode—9
Median—9
Mean—7
Answer:
B. Range - 5
Mode - 6
Median - 7
Mean - 8
step by step explaination:
if it's actually around 7, that's mean 7 is equal to median. And then, specifically, the mode & the mean number will side-to-side number of 7..which means number 6 and number 8.
The group of measures which would lead to the provided conclusion is range is 6, mean of the data is 8, median is 7 and mode is 6.
What is mean, median and mode of data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of sum of all the values of data to the total number of values of data.
The median of the data is the middle value of the data set when it arrange in ascending or descending order. The data is around 7 which suggest that the median is 7.
Median=7
Mode of a data set is the the value, which occurs most times for that data set. The value which has the highest frequency in the given set of data is known as the mode of that data set.
Mean and mode is around the median. For this case the mean of the data is 8 and mode is 6.
Mode=6
Mean=8
Thus, the group of measures which would lead to the provided conclusion is range is 6, mean of the data is 8, median is 7 and mode is 6.
Learn more about the mean, median and mode here;
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