3 feet because:
15 - 12 = 3
You need to place it 3 feet away from the base of the house.
Hope this helps :)
Answer:
= 
Step-by-step explanation:
To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3
/2]
Proof -
We know that,
Average value of f in the interval [a, b] is -
= 
Now,
Here a = 0, b = 
, f(x) = 
Now,
= 
= 
= 
= ![{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ]](https://tex.z-dn.net/?f=%7B%5Cfrac%7B10%20%7D%7B3%5Cpi%20%7D%7D%5B%5C%20%7Btan%28%7B%5Cfrac%7Bx%7D%7B6%7D%20%7D%29%20%7D%7C%5E%7B%5Cfrac%7B3%5Cpi%20%7D%7B2%7D%20%7D_0%20%5C%2C%20%5D)
= ![{\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ]](https://tex.z-dn.net/?f=%7B%5Cfrac%7B10%20%7D%7B3%5Cpi%20%7D%7D%5B%5C%20%7Btan%28%7B%5Cfrac%7Bx%7D%7B6%7D%20%7D%29%20-%20tan%28%7B0%29%20%7D%20%5C%2C%20%5D)
= ![{\frac{10 }{3\pi }}[ {1 - 0 } ]](https://tex.z-dn.net/?f=%7B%5Cfrac%7B10%20%7D%7B3%5Cpi%20%7D%7D%5B%20%7B1%20-%200%20%7D%20%20%5D)
=
⇒ =
Answer:
Liam can make 4 cards
Step-by-step explanation:
A common factor between 16 and 12 is 4
To make the most identical amounts of cards, each card should get 4 sheets and 3 envelops.
The total amount of cards Liam can make is 4.
Answer:
Mode
Step-by-step explanation:
If you have an outlier, the best way to measure a set of data is the mode, or the number that occurs the most.
Surface area of sphere equals its four radii squared multiplied by the number π.
We have then:
A = 4 * π * R ^ 2
Substituting:
804 = 4 * π * R ^ 2
Clearing the value of R we have:
R = root (804 / (4 * π))
R = 7.99876785 cm
Nearest whole number:
R = 8 cm
Answer:
The radius of a sphere is:
B. 8cm
