Answer:
h = 3.6
Step-by-step explanation:
This is just substituting in for variables and solving for x. The hard part is knowing the formula.
R = h((a+b)/2) where a and b are the 2 different bases, h is the height or latitude, and R is the area of a trapezoid, is the formula.
Given that R = 8.1, a = 1 and b = 3.5, we can substitute these equations in the formula.
(8.1) = h(((1) + (3.5)) / 2)
= h((4.5) / 2)
= h(2.25)
8.1/2.25 = h
3.6 = h
Answer:
3/4 or 75% Chance
Step-by-step explanation:
take the number off Possibilities and divide it by 100 and it will give you 25% which is 1/4 of 100% and then add the chances of 5,6,and 7 and you have a 75% Chance of Not getting 8
Answer:
Critical points: 
and 
Step-by-step explanation:
First, the function, which is a division of two functions, has to be derived:
![f'(x) = \frac{f(x)\cdot g'(x)-f'(x)\cdot g(x)}{[g(x)]^{2}}](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20%5Cfrac%7Bf%28x%29%5Ccdot%20g%27%28x%29-f%27%28x%29%5Ccdot%20g%28x%29%7D%7B%5Bg%28x%29%5D%5E%7B2%7D%7D)
, where 
and 
.
The derivatives of each function are, respectively:
All components are replaced and expressed is simplified afterwards:
![f'(x) = \frac{(x^{3})\cdot (-5)-(3\cdot x^{2})\cdot [5\cdot (8-x)]}{25}](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20%5Cfrac%7B%28x%5E%7B3%7D%29%5Ccdot%20%28-5%29-%283%5Ccdot%20x%5E%7B2%7D%29%5Ccdot%20%5B5%5Ccdot%20%288-x%29%5D%7D%7B25%7D)
Let 
be equalized to zero and critical numbers are found by the First Derivative Test:
The critical points are:
and
Answer:
not possible
........................................
Answer:
5.28°
Step-by-step explanation:
Draw the triangle formed by the sledding run. The hypotenuse is 300. The height is 27.6. The angle of depression is opposite of the height.
Using sine:
sin θ = 27.6 / 300
sin θ = 0.092
θ = 5.28°
