<span>The distance to the base of the tower is
tan 40=100/x
x=100/tan 40=119.18 m
from the top of the building, we know the adjacent side but not the opposite
tan 30=opposite/119.18
opposite is 119.18*tan30=68.81 m
The opposite side is the height of the tower ABOVE the apartment building. The tower itself is 100 m high, and the remainder of the height, 31.19 m, is the height of the building.</span>
None of the graphs have a slope and y-intercept equal to y = x - 2.
y = x - 2 has a slope of 1 and y-intercept of -2, none of the graphs you shown have a slope of 1.
The whole ends up being 42 ft².
Area of a triangle = 1/2 * base * height.
So that lil triangle piece is 1/2 * 2 * 3 = 1/2 * 6 = 3
Now we do the rectangle piece. Area of a rectangle = length * width
So that rectangle is 3 * 7 = 21
If you take away those two, you are left with a trapezoid.
Area of a trapezoid is 1/2 * (base 1 + base 2) * height
Base 1 is the width of the rectangle which is 3. Base 2 is the 6. The height is the given 11 feet minus the 7 feet from the length of the rectangle which is 4.
Plug all this in to the formula you get 1/2 * (6 + 3) * 4 = 1/2 * 9 * 4 = 1/2 * 36 = 18.
Now add all of your areas together;
21 + 3 + 18 = 24 + 18 = 42
Answer:
y = lnx/ln12
Step-by-step explanation:
Given the function y = 12^x, to find the inverse of the function, we news to write x as a function of y as shown:
Given y = 12^x
Taking ln of both sides
ln y = ln 12^x
ln y = xln12
Divide both sides by ln12
lny/ln12 = xln12/ln12
x = lny/ln12
x = ln(y-12)
Replacing y with x and x with y
The inverse of the function will be:
y = lnx/ln12
The awnser is 6(4t-3) I hope this helps u
