A horse 64 feet from the center of a merry-go-round makes 27 revolutions. In order to travel the same distance, how many revolutions would a horse 16 feet from the center have to make?

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

A² + B² = C²

9 • 9 = 81

12 • 12 = 144

81 + 144 = 225

Sqrt

√255 = 15

Answer:

11.9

Step-by-step explanation:

Use sin

Sin ratio is opposite over hypotenuse

Sin [tex]57^{o}[/tex] = [tex]\frac{10.8}{x}[/tex]

x = [tex]\frac{10.8}{sin57^{o} }[/tex]

x = 11.9

Answer:

Step-by-step explanation:

My insight on this quote is that a good piece of art can tell various stories. Maybe there are various characters in the art and each on shows different actions and emotions. Or maybe the art is abstract and the emotions that it triggers in a person can tell a story all on its own. In a way these various angles are the different ways that the art makes us feels that allows us to view it in such a way. Yet these views can change if we look at the art in a different perspective.

Answer:

14.6

Step-by-step explanation:

Sin (59) = x/17

17*sin (59) = x

17*0.857=14.57

The value of x in the triangle is x = 14.581

We have,

From  the triangle,

using the sin function.

Now,

sin = perpendicular/hypotenuse

So,

sin 59 = x/17

Now,

To solve for x in the equation sin(59°) = x/17, we can use the properties of trigonometric functions and algebraic manipulation.

First, let's isolate x by multiplying both sides of the equation by 17:

17 x sin(59°) = x

Using a calculator to evaluate sin(59°), we find:

17 x 0.857167 = x

Therefore,

The value of x is x = 14.581

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2(19-7) im pretty sure

Answer:

i. <DCB = [tex]53.13^{o}[/tex]

ii. Sin of <DCB = 0.8

Step-by-step explanation:

Let <DCB be represented by θ, so that;

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Thus from the given diagram, we have;

Sin θ = [tex]\frac{4}{5}[/tex]

        = 0.8

This implies that,

θ = [tex]Sin^{-1}[/tex] 0.8

   = 53.1301

θ = [tex]53.13^{o}[/tex]

Therefore, <DCB = [tex]53.13^{o}[/tex].

So that,

Sin of <DCB = Sin [tex]53.13^{o}[/tex]

                    = 0.8

Sin of <DCB = 0.8

Answer:

IQR=13 im pretty sure

Step-by-step explanation:

The measure interquartile range is 13 option (B) IQR= 13 is correct.

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have a box plot, and the data from a survey of ages of people taking an exercise class was skewed to the left.

We know on the left side skewed has more data on the right and on the left side, there are fewer data.

From the dot plot, the end point is not given, so we are assuming the end point is 58.

IQR = 58 - 45 = 13

Thus, the measure interquartile range is 13 option (B) IQR= 13 is correct.

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Answer:

its 5,1

Step-by-step explanation:

just took the test

Answer:

x=20

Step-by-step explanation:

Hello There!

Remember the exterior angle of a triangle rule:

An exterior angle of a triangle is equal to the sum of the opposite interior angles

Knowing this, we can create an equation to solve for x

exterior angle (100) = sum of opposite interior angles (3x+2x)

100 = 2x+3x

now we solve for x

step 1 combine like terms

2x+3x=5x

now we have 100=5x

step 2 divide each side by 5

5x/5=x

100/5=20

we're left with x = 20

Answer:

With their steel hoofs, their long legs, their stag-like muscles, their thick skins, their powerful horns, they could walk the roughest ground, cross the widest deserts, climb the highest mountains, swim the widest rivers, fight off the fiercest bands of wolves, endure hunger, cold, thirst and punishment as few beasts of the earth have ever shown themselves capable of enduring.

Answer:

however it works for you along as you get the right answer

Step-by-step explanation:

Answer:

Yeah you will most likely get the same answer

Step-by-step explanation:

as long as you don't mix up (for this example of course) the service call fee (which is the constant) and the fee for each hour of labor (the coefficient of the variable), you are good

Answer:

Answer is Option A

Step-by-step explanation:

the things people do for points smh :/

The rectangular equation which represents the parametric equations; x = t^(¹/2) and y = 4t is; y = 4x2, for x ≥ 0.

From the task content, it follows that the parametric equations given are;

Hence, it follows that; t = x² and y= 4t

Ultimately, upon substitution of x² for t; the resulting rectangular equation is; y = 4t².

Read more on rectangular equations;

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Answer:

QT=8 VQ=17 this is what i came up with because i myself have ur question and i don't know what it is?

Answer:

45cm

Step-by-step explanation:

3 x 5 x 3 x 1/2

(if im wrong im sorry)

Answer:

See Explanation

Step-by-step explanation:

The question is not clear. However, I will treat the question as:

[tex](26)x = 1[/tex]

[tex](50)x = 1[/tex]

and:

[tex](2^6)^x = 1[/tex]

[tex](5^0)^x = 1[/tex]

Solving: [tex](26)x = 1[/tex]  and  [tex](50)x = 1[/tex]

[tex](26)x = 1[/tex]

Divide both sides by 26

[tex]x = \frac{1}{26}[/tex]

[tex](50)x = 1[/tex]

Divide both sides by 50

[tex]x = \frac{1}{50}[/tex]

Solving [tex](2^6)^x = 1[/tex] and [tex](5^0)^x = 1[/tex]

[tex](2^6)^x = 1[/tex]

Express 1 as 2^0

[tex](2^6)^x = 2^0[/tex]

Remove bracket

[tex]2^{6x} = 2^0[/tex]

Cancel out 2

[tex]6x = 0[/tex]

Divide both sides by 6

[tex]x = \frac{0}{6}[/tex]

[tex]x = 0[/tex]

[tex](5^0)^x = 1[/tex]

Express 1 as 5^0

[tex](5^0)^x = 5^0[/tex]

Cancel out 5^0

[tex]x = 1[/tex]

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

960 which is the area u divide by the one foot which is 144 square units to get your answer,6.66666666667

Answer:

oh thats cool

Step-by-step explanation:

The meaurment of the ∠D= 40°, ∠A=140°, ∠B=130.

Given in the image we can see ∠C and ∠ D is an acute angle and the value of ∠C is 50° so ∠D must be 40° according to the image.

The sum of the angle on the same side of trapezoid is equal to 180°. so ∠A+D and ∠C+∠B= 180°. ∠A+40°=180°. after substracting the value ∠A will be 140° and by same method ∠B+50°=180°. we will get ∠B=130°.

Therefore ∠D= 40°, ∠A= 140°, ∠B= 130°.

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21400

Answer: y = (3^(x-1))*1500

Step-by-step explanation:

We want the relationship

y = f(x)

where y is the number of songs, and x is the number of years.

We know that in the first year, x = 1, the site has 1,500 songs.

The next year, x = 2, the number of songs is tripled, then we will have:

1,500*3 = 4500 songs.

The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.

when x = 4, the number is tripled again:

3*(3^2)*1500 = (3^3)*1500

We already can see the pattern, for the year x, the site will have:

y = (3^(x-1))*1500 songs.

This is the equation we are looking for.

Answer: -32

Step-by-step explanation: -14 - 6 - 12 = -32

Answer:

C. Rhombus.

Step-by-step explanation:

A rhombus is quadrilateral who each pair of opposite side are parallel and congruent and whose each diagonal is perpendicular to the other diagonal, which bisectors it.

In the cases of rectangle, parallelogram and trapezoid, diagonals are not perpendicular to each other. In the case of the trapezoid, only one pair of sides are parallel.

In consequence, right answer is C.

Answer:

k = 3.

Step-by-step explanation:

If they are collinear the slope of AB = the slope of BC, so :-

(0- (-2)) / (2 - 0) = (k - 0) / (5 - 2)

2/2 = k/3

1 = k/3

k = 3.

Answer:

125

Step-by-step explanation:

5 to the 3rd power means 5³

5³ = 5x5x5

= 125

Answer: I do not know

Answer:

A decrease by 14 percent

Step-by-step explanation:

50 - 43 is 7

14 percent of 50 is 7