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3 years ago

Find the length of the arc to 2 decimals places

Mathematics

1 answer:

HACTEHA [7]3 years ago

7 0

Answer:

Step-by-step explanation:

The formula for arc length is

$AL=\frac{\theta}{360}*2\pi r$ where theta is the measure of the central angle and r is the radius. We have both of those pieces of info; filling in:

$AL=\frac{30}{360}*2(3.14) (4)$ and simplifying a bit:

$AL=\frac{1}{12}(8)(3.14)$ and a bit more:

$AL=\frac{25.12}{12}$ and finally, to

AL = 2.09 m

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Elena finds that the area of a house on a scale drawing is 25 square inches the actual area of the house is 2025 ft what is the

ElenaW [278]

Answer:

81 is the scale of drawing.

Step-by-step explanation:

Area of the house in drawing = A =

Let the factor by which scaling is present in the drawing be s.

Area of the house in reality = A' =

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3 years ago

What is 9p+p equal to

kvv77 [185]

Answer:

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Step-by-step explanation:

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3 years ago

What is the scale factor in the dilation if the coordinates of A prime are (–7, 6) and the coordinates of C prime are (–4, 3)?

olchik [2.2K]

Option A: $\frac{1}{3}$ is the dilation factor

Explanation:

The Coordinates of the square ABCD are A(-21,18), B(-12,18), C(-12,9), D(-21,9)

Also, the coordinates of the square A'B'C'D' are A'(–7, 6), B'(-4,6), C'(-4,3), D'(-8,3)

Now, we shall determine the scale factor in the dilation if the coordinates A' and C'.

Since, the dilation is the enlargement of the image in the same shape but different size.

To determine the scale factor, let us divide A'C' by AC

Thus, we have,

$\begin{aligned}A^{\prime} C^{\prime} &=\sqrt{(-4+7)^{2}+(3-6)^{2}} \\&=\sqrt{3^{2}+(-3)^{2}} \\&=\sqrt{9+9} \\&=\sqrt{18}\\&=3\sqrt{2} \end{aligned}$

Also,

$\begin{aligned}A C &=\sqrt{(-12+21)^{2}+(9-18)^{2}} \\&=\sqrt{9^{2}+(-9)^{2}} \\&=\sqrt{81+81} \\&=\sqrt{162}\\&=9\sqrt{2} \end{aligned}$

Dividing A'C' by AC, we have,

$\frac{A'C'}{AC} =\frac{3\sqrt{2} }{9\sqrt{2}} =\frac{1}{3}$

Thus, $\frac{1}{3}$ is the dilation factor

3 0

3 years ago

Read 2 more answers

if there are 1200 tickets sold for a raffle and you bought 300, what is the probability you will not win..

Snowcat [4.5K]

Answer:

fraction form 3/4

decimal form 0.75

percentage form 75%

Step-by-step explanation:

8 0

2 years ago

The bottom and top of a box are rectangles twice as long as they are wide. Find the volume of the box if it is four feet high an

Sav [38]

Let x = the width

then

2x = the length

The box dimensions: 2x by x by 4

Given the surface area:

2(2x*x) + 2(2x*4) + 2(x*4) = 220

4x^2 + 16x + 8x = 220

A quadratic equation:

4x^2 + 24x - 220 = 0

simplify, divide by 4

x^2 + 6x - 55 = 0

Factor

(x+11)(x-5) = 0

The positive solution is what we want here:

x = 5 ft is the width

then

2(5) = 10 ft is the length

Find the volume

10 * 5 * 4 = 200 cu/ft is the volume

5 0

3 years ago