3 years ago

What is the volume of the cone? Use π ≈ 3.14.

Mathematics

1 answer:

BARSIC [14]3 years ago

6 0

Answer:

12.56 cubic units on edge

Step-by-step explanation:

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Please help Find the measure of UT 65° 51° 70° 55°

Maslowich

$\huge\boxed{55^\circ}$

First of all, we know that $\angle Q=95^{\circ}$ because of its vertical angle. $\angle Q$ is also equal to $\dfrac{\widehat{RS}+\widehat{UT}}{2}$ because it's an interior angle.

$\begin{aligned}\angle Q&=\frac{\widehat{RS}+\widehat{UT}}{2}\\95^\circ&=\frac{135^\circ+\widehat{UT}}{2}&&\qquad&&\textsf{Substitute in the known values.}\\190^\circ&=135^\circ+\widehat{UT}&&\qquad&&\textsf{Multiply both sides by $2$.}\\55^\circ&=\widehat{UT}&&\qquad&&\textsf{Subtract $135^\circ$ from both sides.}\\\widehat{UT}&=\boxed{55^\circ}&&\qquad&&\textsf{Switch the sides of the equation to show our answer.}\end{aligned}$