Answer:
The height of the lighthouse is 
Step-by-step explanation:
Let
h -----> the height of the lighthouse
we know that
The tangent of angle of 68 degrees is equal to divide the height of the lighthouse by the horizontal distance from the buoy to the base of lighthouse
so

Solve for h

Answer:
D
Step-by-step explanation:
a clockwise rotation 90 degrees results in a transformation like this:
⇒
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Answer:
Y=2x+0.5
Step-by-step explanation:
The gradient is 2/1=2x
The y-intercept looks to be around 0.5
Answer:
£83.70
Step-by-step explanation:
→ First step is to find the amount of hours it takes for one builder
We know it takes 5 builders
hours so 1 builder would take 5 ×
which is
hours so it takes one builder 17.5 hours to builder a wall
→ Now we know how long one work takes we need to find out the time for 2 builders
1 builder = 17.5 hours
2 builders = 17.5 ÷ 2 = 8.75 hours
So 2 builders take 8.75 hours
→ We know that each builder is paid £9.30 for each or part hour they work so
9.30 hourly pay rate × 9 hours work of work = £83.70
Each worker will be paid £83.70
The volume formula for a cone is V = 1/3 pi r^2 h. We have everything we need to find the volume. V = 1/3 pi 28^2* 44. Doing that math and leaving it in terms of pi you have that the volume is 11,498.67 pi units cubed. If you multiply pi in, the answer would be 36,123.06 units cubed.