How to find the length of the darkened arcs?

1 answer:

8 0

A circle is 360° all the way around; therefore, if you divide an arc's degree measure by 360°, you find the fraction of the circle's circumference that thearc makes up. Then, if you multiply thelength all the way around the circle (the circle's circumference) by that fraction, you get the length along thearc.

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32 divided by 2(2^3 -4)

Irina18 [472]

First, you solve the exponent: 2(8-4)
—————
32
Do PEMDAS

2(4)
——
32

8
—
32

1
—
4

That’s your final answer :)

7 0

3 years ago

What is the slope of the line that passes through the points (2, 1) and (17, -17)?

max2010maxim [7]

Answer:

-18/15 or the slope is -1.2

Step-by-step explanation:

y2-y1 over x2-x1

-17-1 over 17-2

4 0

3 years ago

A parallelogram has vertices E(1, 4), F(5, 3), G(−3, 1), and H(1, 0). What are the coordinates of the midpoint of each diagonal?

kozerog [31]

Check the picture below.

now, the diagonals cut each other in two equal halves, thus, the midpoint of GF is the same coordinates as the midpoint for EH, so let's check what the midpoint for GF is then

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
G&({{ -3}}\quad ,&{{ 1}})\quad 
% (c,d)
F&({{ 5}}\quad ,&{{ 3}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{5-3}{2}~~,~~\cfrac{5-1}{2} \right)\implies \left( \cfrac{2}{2}~~,~~\cfrac{4}{2} \right)\implies (1,2)$

5 0

3 years ago

Write an if-then statement based on the Venn diagram.

maw [93]

*I think the answer is <span>A.If something is a sparrow, then it must be a bird.</span>

7 0

4 years ago

A swimming pool is in the shape of a right triangle. One leg has a length of 10 feet and one leg has a length of 15 feet. Estima

sasho [114]

Answer:

5√13 = c OR 18. 0

Step-by-step explanation:

Using the Pyhtagorean Theorem, we will solve for x (in this case our hypothenuse)

a2 + b2 = c2

10(square) + 15(square)= c2 .....10*10 = 100 and 15* 15= 225

100 + 225 = c2

325= c2

√325 = c

5√13 = c OR 18. 0

5 0

3 years ago