Answer:
B
Step-by-step explanation:
Angle 4 × Angle 3 = 90
Complementary angles
11x + 4x = 90
15x = 90
x = 6
Angle 3 = 4x = 4(6) = 24°
Answer:
(fog)(-2)=-5
Step-by-step explanation:
Given
f(x)= -7x+2
and
g(x)= √(x+3)
For finding (fog)(-2), we have to find (fog)(x) first
In order to find (fog)(x) we will put the value of g(x) in f(x) in place of x.
(fog)(x)= -7g(x)+2
Putting the value of g(x)
(fog)(x)= -7√(x+3)+2
We have to find (fog)(-2), so we have to put at the place of x in the composition
(fog)(-2)= -7√(-2+3)+2
(fog)(-2)= -7√1+2
= -7(1)+2
= -7+2
=-5
So,
(fog)(-2)=-5
Answer:
Ethan
Step-by-step explanation:
Get a common denominator and then subtract Ethan from the whole.
1/2x + 42 = 4x
-1/2x -1/2x
------------------------
42 = 3.5x
/3.5 /3.5
------------------------
12 = x
the number is 12
explanation: 42 more than 1/2 of a number can be written as 1/2x + 42
four times a number can be written as 4x.
42 more than 1/2 of a number is equal to 4 times a number. So 1/2x + 42 = 4x.
Hope this helps :)
Answer:
502 Square Meters
Step-by-step explanation:
Surface Area is the sum of the areas of all the surfaces. There are 5 surfaces in total, so we find each surface area and find total Surface Area.
Shown Below:
Bottom Surface is a rectangle, so area is length * width = 10 * 16 = 160
Back Surface is a rectangle, so area is 6 * 16 = 96
Top (front) surface is a rectangle so area is 11.6 * 16 = 185.6
Left and right sides are 2 triangles, so are would be 0.5(base * height) for each. So,
Left triangle = 0.5 * 10 * 6 = 30
Right triangle = 30
Sum of all the surfaces = 160 + 96 + 185.6 + 30 + 30 = 501.6
Rounded to nearest whole number, that is 502
The surface area = 502 m^2
