Answer:
The answer to your question is x = 8 or 11.31
Step-by-step explanation:
To solve this problem need to use trigonometric functions
The trigonometric function that relates the opposite side and the hypotenuse is sine.
sin
- Solve for x
x = 8/sin 45
- sin 45 = 1/
- Find x
x = 8 / 1/
x = 8 or 11.31
Answer: (0,3) and (-9,0)
————————
-2(0) + 6y = 18
6y = 18
y = 3 so…(0,3)
————————
-2x + 6(0) = 18
-2x = 18
x = -9 so.. (-9,0)
The distance between the flagpole and the building is the number of feet between them
The building is 162 feet from the flagpole
<h3>How to determine the distance</h3>
The given parameters are:
- Flagpole = 40 feet
- Building Shadow = 324 feet
The flagpole's shadow is 50% longer than the flagpole.
So, the length (l) of the flagpole's shadow is:
The length of the building's shadow (d) is then calculated as:
Express as fraction
Solve for d
The distance (x) of the building from the flagpole is then calculated as:
Hence, the building is 162 feet from the flagpole
Read more about distance and bearing at:
brainly.com/question/11744248
f(4) = -18
g(-3) = -76
Step-by-step explanation:
f(x) = -5x + 2
f(4) = -5(4) + 2
= -20 + 2
= -18
g(x) = 3x^3 + 5
g(-3) = 3(-3)^3 + 5
= 3(-27) + 5
= -81 + 5
= -76
Answer:
0.6179 is z score of 0.30