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lianna [129]
3 years ago
8

This figure consists of a rectangle and a quarter circle.

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
7 0
The hardest part of this would be finding the length of that arc. Though, since it's a quarter circle, it makes our job a whole lot easier.

The circumference of a circle is 2πr, therefore, a quarter circumference of a circle would be (2<span>πr) / 4.
</span>
Therefore, the length of that arc would be (2 * 3.14<span> * 8) / 4 = 12.56
</span>

With this figure, we can just add up the rest of the perimeter.

12.56 + 8 (circle radius) + 10 + 10 (two rectangle heights) + 17 (rectangle length) + 9 (rectangle length minus radius, for the top-right part of the rectangle), giving us an answer of 66.56cm
Reika [66]3 years ago
7 0

the answer is 66.56cm                                                                                                                                                                                                                        

                                                                                                                                                                                             


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Solve for 2:<br> 7x + 156°<br> 9x + 184°
Natalija [7]

Answer:

x = -14

Step-by-step explanation:

Simplifying

7x + 156 = 9x + 184

Reorder the terms:

156 + 7x = 9x + 184

Reorder the terms:

156 + 7x = 184 + 9x

Solving

156 + 7x = 184 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

156 + 7x + -9x = 184 + 9x + -9x

Combine like terms: 7x + -9x = -2x

156 + -2x = 184 + 9x + -9x

Combine like terms: 9x + -9x = 0

156 + -2x = 184 + 0

156 + -2x = 184

Add '-156' to each side of the equation.

156 + -156 + -2x = 184 + -156

Combine like terms: 156 + -156 = 0

0 + -2x = 184 + -156

-2x = 184 + -156

Combine like terms: 184 + -156 = 28

-2x = 28

Divide each side by '-2'.

x = -14

Simplifying

x = -14

3 0
3 years ago
What is 76/10 in a mixed number??
cestrela7 [59]
A mixed number is in the form x y/z while a improper fraction (76/10) is in the form y/z. We can separate the fraction into two parts. One is 70/10 which = 7 and the other is 6/10 which simplifies to 3/5. So, in order to express 76/10 as a mixed number we must express it as 7 3/5 or 7 6/10. 7 3/5 is equal to 7 6/10.

I hope this helped you!  
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5 0
3 years ago
I don’t know how much she need to make
Ivanshal [37]

Answer:

4

Step-by-step explanation:

She can make 4. Have an amazing day

7 0
3 years ago
F(x) = 5x^3+ 2x^2 - 90x - 36. <br><br> finding all zeros by factoring and explaining the steps
ella [17]

Answer:

f(x)=5x^3-2x^2-90x-36=0

=x^2(5x-2)-18(5x-2)=(x^2-18)(5x-2)=0

x^2-18=0/5x-2=0

x^2=18=x=9√2

5x-2=0

x=2/5

zeros are 9√2,2/5

8 0
3 years ago
PLEASE HELP<br> Evaluate 6 + 10v – 8w when v=4 &amp; w= -2
BabaBlast [244]

Answer:

6 + 10v – 8w = 62

Step-by-step explanation:

Given the expression

6 + 10v – 8w

as

  • v=4
  • w=-2

substituting the values in the expression

6 + 10v – 8w = 6 + 10(4) - 8(-2)

                      = 6 + 40 + 16

                      = 62

5 0
3 years ago
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