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777dan777 [17]
3 years ago
8

Find the arc length of the partial circle.

Mathematics
1 answer:
Sliva [168]3 years ago
6 0

Answer:

1/2pi

Step-by-step explanation:

Since the formula for circumference is 2*pi*r and we know the R=1 so the of the whole circle is 2pi. This is a quarter of a circle so the answer is 1/2pi  

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The area of a bulletin board is 52 square feet. The length is 3 feet less than4 times the width. Find the length and width
Brilliant_brown [7]

Answer:

The length of the bulletin board is 13\ ft

The width of the bulletin board is 4\ ft

Step-by-step explanation:

Let

x-----> the length of the bulletin board

y-----> the width of the bulletin board

we know that

The area of the rectangle (bulletin board) is equal to

A=xy

we have

A=52\ ft^{2}

so

52=xy ------> equation A

x=4y-3 ------> equation B

substitute equation B in equation A and solve for y

52=(4y-3)y

4y^{2}-3y-52=0

Using a graphing calculator------> solve the quadratic equation

The solution is

y=4\ ft

see the attached figure

Find the value of x

x=4(4)-3=13\ ft

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Write the expression 2i^15-i^7 in the standard form a + bi
elixir [45]
\bf 2i^{15}-i^7\qquad 
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\end{cases}\\\\
-----------------------------\\\\
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Is 3/5 mile closer than 1/2 mile
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4 years ago
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