Answer:280 square feet per hour.
Step-by-step explanation:
Answer:
x = -1 or x = -3
Step-by-step explanation:
x + 3/x = -4
x² + 3 = -4x
x² + 4x + 3 = 0
(x + 1) (x + 3) = 0
x = -1 or x = -3
check: (-1) + (3/-1) = -1 - 3 = -4
(-3) + (3/(-3)) = -3 -1 = 14
Answer:
Pythagorean Theorem Statement is below.
Therefore the value of x is 9 m.
Step-by-step explanation:
Given:
Label the vertices as A , B , C shown in figure below such that
∠A = 90°
AC = Longer leg = 12 m
AB = Shorter leg = x
BC = Hypotenuse = 15 m
To Find:
x = ?
Solution:
Pythagorean Theorem :
Pythagorean Theorem States that "the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides".
Which can be Written as
OR
i.e
Substituting the values AB ,AC, BC we get
Therefore the value of x is 9 m.
Answer:
There are 795 combinations.
Step-by-step explanation:
The number of ways or combinations in which we can select k element from a group of n elements is given by:
So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.
Then, the number of combinations for every case are:
1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:
2. Choose 3 Comedies from the 10. This is calculated as:
Therefore, there are 795 combinations and it is calculated as:
675 + 120 = 795