Answer:
Statement 2. SX=UX 3. UV=ST Reasons are below
Step-by-step explanation:
since SVX = UTX and one of their sides are confirmed to be the same length then all sides are equal to each other of those triangles
and since they are the same length then VU and ST = each other
opposite sides are parallel because the angles are the same
and since they have the same side lengths then that means the diagonals bisect each other
The volume of a cone is one third of the volume of a cylinder that has the same base and height.
The answer is 36/3=12pi in^3.
Answer: 111.4m
Explanation:
1) Trigonometric ratios
You only need to use tangent ratio.
tangent ratio = opposite-leg / adjacent-leg = balloon height / horizontal distance
2) First, find the height of the ballon when he is watching at an angle of elevation of 28°
tangent ratio = opposite-leg / adjacent-leg = balloon height / horizontal distance
tan(28°) = balloon height/65m ⇒balloon height = tan(28°)×65m
balloon height = 34.56m
3) Second, find the height of the balloon,when he is watching at an angle of elevation of 66°
tan(66°) = height of the balloon / 65m ⇒ height of the balloon = tan(66°)×65m
height of the balloon = 145.99m
4) Vertical distance the balloon ascended while Charlie watched.
Subtract the final initial height from the final height:
145.99m - 34.56m = 111.43m
4) Round to the nearest tenth: 111.4 m
Answer:
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Step-by-step explanation:
