Answer:
Step-by-step explanation:
Let the width of the rectangle = x
As length is 5 inches longer than width, we have to add 5 to width
Length = x + 5
Perimeter of ractangle = 56 in
2* (length + width) = 56
2*( x + 5 + x) = 56
2* (2x + 5) = 56
Use distributive property: a*(b +c) =(a*b) + (a * c)
2*2x + 2*5 = 56
4x + 10 = 56
Subtract 10 from both sides
4x = 56- 10
4x = 46
Divide both sides by 4
x = 46/4
x = 11.5
Width = 11.5 in
length = 11.5 + 5
= 16.5 in
Answer: 4
<u>Step-by-step explanation:</u>
A = 
r²θ
50 = (5)²θ
100 = (5)²θ
100 = (25)θ
4 = θ
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Answer: 1570.80 cm²
<u>Step-by-step explanation:</u>
A = r²θ
A = (100)²
A = 500π
A = 1570.80
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Answer: 19.63 m²
<u>Step-by-step explanation:</u>
A = r²θ
= (5)²
= 
= 19.63
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Answer: 15°
<u>Step-by-step explanation:</u>
180 = 12x
15 = x
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Answer: A
<u>Step-by-step explanation:</u>
Quadrant I: 0° - 90°
Quadrant II: 90° - 180°
Quadrant III: 180° - 270°
Quadrant IV: 270° - 360°
255° is in Quadrant III
45 I think. I am not sure though, not the brightest one here.
To answer this question we need to use subtraction.
we need to make the denominators the same.
In order to make them the same we need to find the least common multiple, of 8 and 5.
The least common multiple(the smallest shared value of the two numbers) is 40.
Next we divide our old denominator 5 by 40, which gives us 8, we multiply 8 by the numerator 2, which gives us 16. So now we have 16/20. We have to do the same to the other side. 8÷40 = 5. 5 x 3 = 15. Now we have 15/20.
Now we have a brand new equation, 16/40 - 15/40. The answer is 1/40.
In a fraction the answer is 1/40, so Karen rides her bike further.
In decimal form the answer is 0.025.
I hope this helps!
