Answer:
we conclude that:
Step-by-step explanation:
Given
f(x) = x+9
g(x) = x² + 7x – 14
To determine
g(f(-5)) = ?
First, we need to find f(-5)
f(x) = x+9
substitute x = -5
f(-5) = (-5)+9
f(-5) = -5+9
f(-5) = 4
so
g(f(-5)) = g(4)
Now, we need to find g(4)
g(x) = x² + 7x – 14
substitute x = 4
g(4) = (4)² + 7(4) - 14
g(4) = 16 + 28 - 14
g(4) = 30
i.e.
g(f(-5)) = g(4) = 30
Therefore, we conclude that:
Answer 96in2
Step-by-step explanation:
formula to find area = base x height
substitute the values
= 10 x 9
= 90 cm2
Answer:
First piece = 6 inches
Second piece = 12 inches
Third piece = 18 inches
Step-by-step explanation:
Length of the first piece = x
Length of the second piece = 2x
Length of the third piece = 3x
Total length is 36 inches:
x + 2x + 3x = 36
6x = 36
x = 6
Therefore, the lengths are:
First piece = 6 inches
Second piece = 12 inches
Third piece = 18 inches
Answer:
16.4 feet.
Step-by-step explanation:
We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle
, is 1.42. We are asked to find the length of the side opposite angle
.
We can represent our given information in an equation as:

Now, we will use arctan to solve for theta as:


Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.







Therefore, the opposite side to angle theta is 16.4 feet.
Me. Gregory's class has the greatest ratio of boys to students.