To find it directly
A = 2 pi r h
A is proportional to rh
factor 2
A is multiplied by 2 * 2 = 4
factor 3
3 * 3 =9
factor 5
5 * 5 = 25
factor 10
10 * 10 = 100
(b) the increase in A by factor x is x^2
c(20)^2 = 400
The difference means subtract
5y means product or 5 times y
5y - 15
Answer:
![P = 8\sqrt{2} + 10 + 2\sqrt{6}](https://tex.z-dn.net/?f=P%20%3D%208%5Csqrt%7B2%7D%20%2B%2010%20%2B%202%5Csqrt%7B6%7D)
Can only be simplified through calculator using decimal equivalents.
Step-by-step explanation:
The perimeter of a rectangle is the formula P=2l+2w. Here
and
. So the perimeter is:
![P= 2l+2w\\P = 2(4\sqrt{2} ) + 2(5+\sqrt{6} )\\P = 8\sqrt{2} + 10 + 2\sqrt{6}](https://tex.z-dn.net/?f=P%3D%202l%2B2w%5C%5CP%20%3D%202%284%5Csqrt%7B2%7D%20%29%20%2B%202%285%2B%5Csqrt%7B6%7D%20%29%5C%5CP%20%3D%208%5Csqrt%7B2%7D%20%2B%2010%20%2B%202%5Csqrt%7B6%7D)
The weight of an object is the product of its mass and the acceleration of gravity.
If g[e] is the acceleration of gravity on earth, and g[M] the same for Mars and g[m] the same for the moon,
then m[M]=m[e]g[M]/g[e] and m[m]=m[e]g[m]/g[e] where m[ ] denotes mass. Note that weight=mg (measured in newtons) while mass is in kilograms.
If g[M]=g[e]/3 and g[m]=g[e]/6 approximately. Then the weight of an object on Mars will be about a third of what it is on earth, while on the moon it would be about a sixth of what it is on earth.
Answer:
![f(x) = \dfrac{3}{2}x](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20%5Cdfrac%7B3%7D%7B2%7Dx%20)
Step-by-step explanation:
The general direct variation equation is
y = kx
Plug in x = 4 and y = 6 and solve for k.
6 = k * 4
4k = 6
k = 6/4 = 3/2
![f(x) = \dfrac{3}{2}x](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20%5Cdfrac%7B3%7D%7B2%7Dx%20)