Answer:
1.) D
2.) B
3.)
a.) 7x-34
b.) x (division symbol) 45 + 6
4.)
a.) x decreased by 216
b.) the quotient of 15 and x
First compute the perimeter of the pool:
(21+33)*2=108 foot.
Since the material cover 232 ft^2, then it is sufficient to divide the above number over the length of the border like this:
232/108=2.1
The trip can be 2.1 ft in wide.
Answer:
Option D. 3.73
Step-by-step explanation:
we know that

and

step 1
Find cos(X)
we have

we know that

substitute




step 2
Find tan(x)

substitute

step 3
Find sin(y)
we have

we know that

substitute




step 4
Find tan(y)

substitute

step 5
Find tan(x+y)

substitute
![tan(x+y)=[1/\sqrt{3}+1}]/[{1-1/\sqrt{3}}]=3.73](https://tex.z-dn.net/?f=tan%28x%2By%29%3D%5B1%2F%5Csqrt%7B3%7D%2B1%7D%5D%2F%5B%7B1-1%2F%5Csqrt%7B3%7D%7D%5D%3D3.73)
Answer:
c = 2.25
Step-by-step explanation:
f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.
The average slope is ...
m = (f(4) -f(1))/(4 -1) = (24 -12)/3 = 4
The point at which the derivative is 4 is ...
f'(c) = 6/√c = 4
√c = 6/4
c = 2.25