Answer:
2500pi^2 units
Step-by-step explanation:
Circumference = pi * diameter
Circumference = pi * 100
Radius = diameter/2
Radius = 50
Area = pi * radius^2
Area = pi * 50^2
Area = pi * 2500
Area = 2500pi^2 units
Answer: the answer is 24
Step-by-step explanation:
Answer:

Step-by-step explanation:
Assuming the tree is perpendicular to the ground, we can use the right triangle trigonometric ratios to find the tree's height.
- sin(θ)= opposite/hypotenuse
- cos(θ)= adjacent/hypotenuse
- tan(θ)= opposite/adjacent
Now, let's draw a diagram. We know Aiko is 5 meters from the base of the tree. From there, the angle to the top of the tree is 80 degrees. We are looking for x, the tree's height. The diagram attached is not to scale.
We base the sides off of the angle. x is opposite of 80 degrees and 5 is adjacent. Therefore we must use tangent.

- opposite=x
- adjacent=5 m
- θ=80
Substitute in the known variables.

We want to find x, the height of the tree. Therefore we need to isolate that variable.
x is being divided and the inverse operation is multiplication. Multiply both sides of the equation by 5 meters.




The question asks for an approximation, so let's round to the nearest hundredth.
The 6 in the thousandth place tells us to round the 5 to a 6.

The tree is about <u>28.36 meters tall.</u>
Answer: (1) 13/20 (2) 8 (3) Yes. They are proportional
<u>Step-by-step explanation:</u>
(1) 13 students take the bus.
33 - 13 = 20 students do not take the bus

(2)

(3)

All of the fractions simplify to the same number so they ARE proportional.
Answer:
hope it helps uh..............