C 2 (-20)
He withdrew (took out) money twice.
That's -20 two times.
Notice that the triangle is a right triangle, because of the right angle. By the Pythagorean Theorem,
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
. Then
![15^2+b^2=17^2\implies 225+b^2=289\implies b^2=64\implies b=8](https://tex.z-dn.net/?f=15%5E2%2Bb%5E2%3D17%5E2%5Cimplies%20225%2Bb%5E2%3D289%5Cimplies%20b%5E2%3D64%5Cimplies%20b%3D8)
, d. 8 m
Answer:
![Width= 13 cm](https://tex.z-dn.net/?f=Width%3D%2013%20cm)
![length=30cm](https://tex.z-dn.net/?f=length%3D30cm)
Step-by-step explanation:
Let the length of the rectangle be 'L'
And the width of the rectangle be 'W'
![Perimeter= 86 cm](https://tex.z-dn.net/?f=Perimeter%3D%2086%20cm)
According to the statement:
![Length= 2*Width+4\\L=2W+4](https://tex.z-dn.net/?f=Length%3D%202%2AWidth%2B4%5C%5CL%3D2W%2B4)
Perimeter of a rectangle= 2(Length+Width)
![86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm](https://tex.z-dn.net/?f=86%3D2%282W%2B4%2BW%29%5C%5C86%2F2%3D3W%2B4%5C%5C43%3D3W%2B4%5C%5C3W%3D43-4%5C%5C3W%3D39%5C%5CW%3D39%2F3%5C%5CW%3D13%20cm%5C%5C%5C%5CLength%28L%29%3D2W%2B4%5C%5C%3D2%2813%29%2B4%3D26%2B4%3D30%20cm%5C%5CLength%3D30%20cm)
![Width= 13 cm](https://tex.z-dn.net/?f=Width%3D%2013%20cm)
![length=30cm](https://tex.z-dn.net/?f=length%3D30cm)
Answer:
n = 10
Step-by-step explanation:
given m varies directly as n then the equation relating them is
m = kn ← k is the constant of variation
to find k use the condition m = 6 when n = 5
6 = 5k ( divide both sides by 5 )
k =
= 1.2
m = 1.2n ← equation of variation
when m = 12 , then
12 = 1.2n ( divide both sides by 1.2 )
10 = n