3 years ago

I need help with 2 more questions ??

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

5 0

Supplementary angles add up to 180 degrees
x=145 degrees

Tanya [424]3 years ago

3 0

Answer:

x = 145 degree

Step-by-step explanation:

Alternate angle 35deg is shown alone with x on the 180 degree line opposite the other 180 degree line.

180-35 = 145degree

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If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in mile

Lubov Fominskaja [6]

$\bf \textit{arc's length}\\\\
s=rw\qquad 
\begin{cases}
r=radius\\
w=\textit{angular speed}
\end{cases}\qquad w=\cfrac{50 rev}{min}\cdot \cfrac{2\pi }{rev}
\\\\\\
w=\cfrac{100\pi }{min}\qquad s=80in\cdot \cfrac{100\pi }{min}\implies s=\cfrac{8000\pi\ in}{min}\\\\
-------------------------------\\\\
\textit{now to convert it to miles/hr}
\\\\\\
\cfrac{8000\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mile}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{8000\pi \cdot 60\ in}{12\cdot 5280\ hr}$