Answer:
~5 feet.
Step-by-step explanation:
assuming that it is a right triangle. if a=5 and c=7 then b the other leg is equal to the square root of c squared minus a squared. which equals about 4.9
Hi there! :)

Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:
a² + b² = c²
Use the length and width in the equation:
8² + 3² = c²
64 + 9 = c²
73 = c²
c ≈ 8.54 cm
Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:
(8.54)² + 7² = c²
73 + 49 = c²
122 = c²
√122 = c
c = 11.05 ≈ 11 cm. The correct answer is B.
I believe it’s C, 21 divided by 7. This one doesn’t leave any extra mugs out cause 21 divided by 7 is 3, leaving 7 mugs per 3 shelves and having none left.
Answer:
n = 1537 represent the sample size of American over 46
X = 1537-1245=292 represent the number of Americans over 46 who smoke
And for this case in order to estimate the population proportion we can use this formula:

Where:
X represent the number of people with the characteristic desired and n the sample size. If we replace we got:

Step-by-step explanation:
For this case we deine the parameter of interest p as the proportion of Americans over 46 who smoke.
We know the following info provided:
1245 people don't smoke
n = 1537 represent the sample size of American over 46
X = 1537-1245=292 represent the number of Americans over 46 who smoke
And for this case in order to estimate the population proportion we can use this formula:

Where:
X represent the number of people with the characteristic desired and n the sample size. If we replace we got:

Answer: domain = 54 range = 14
Step-by-step explanation: