Answer:
5√5 ≈ 11.18 units
Step-by-step explanation:
The Pythagorean theorem can be used to find the unknown leg of a triangle with hypotenuse 15 and one leg 10:
d = √(15^2 -10^2) = 5√(3^2 -2^2) = 5√5
The plane is 5√5 units from the center of the sphere.
Answer:
25.56 is the surface area of the pool.
Hope this helps! :)
Answer:
see explanation
Step-by-step explanation:
Equivalent ratios are found by multiplying or dividing the parts of the ratio by the same value.
27 : 9 ( divide both parts by 9 )
= 3 : 1
(b)
7 : 35 ( divide both parts by 7 )
= 1 : 5
F(x) = 9x+8
y = 9x+8
x = 8y + 9
x-9 = 8y
x-9
----- = y
8
f-¹ =
x-9
------
8
Using the Fundamental Counting Theorem, it is found that Samantha has 36 different outfits to choose from.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- For the pants, there are 2 options, hence .
- For the t-shirts, there are 2 outcomes, hence .
- For the shoes, there are 9 outcomes, hence .
Thus, the total number of outfits is given by:
N = 2 x 2 x 9 = 36.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866