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faust18 [17]
3 years ago
14

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' =

8 0
3 years ago
What is 9p+p equal to
kvv77 [185]

Answer:

this is impossible

Step-by-step explanation:

6 0
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
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