Answer:
h = 8.5 inches
Step-by-step explanation:
Given that,
The volume of a rectangular prism = 1374.28 inches³
The prism is 9.4 inches wide and 17.2 inches long.
We need to find the height of the prism. We know that the formula for the volume of rectangular prism is given by :
V = lbh
Where
h is the height of the prism
So,
![h=\dfrac{V}{lb}\\\\h=\dfrac{1374.28 }{9.4\times 17.2}\\\\h=8.5\ inches](https://tex.z-dn.net/?f=h%3D%5Cdfrac%7BV%7D%7Blb%7D%5C%5C%5C%5Ch%3D%5Cdfrac%7B1374.28%20%7D%7B9.4%5Ctimes%2017.2%7D%5C%5C%5C%5Ch%3D8.5%5C%20inches)
So, the height of the prism is equal to 8.5 inches.
Answer:
.2
Step-by-step explanation:
There are 5+6+4+7+5+3 = 30 total
Girl who likes burgers = 6
P(Girl who likes burgers) = 6/30 = 1/5 = .2
Answer: x = 1/16
Step-by-step explanation:
Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.
1. log B(2) {x} = -4 || given
2. x = 2 ^ -4 || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.
3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16
Answer:
57/100
Step-by-step explanation:
A 94 square inches..........