Answer these questions GEOMETRY

Mathematics

1 answer:

pickupchik [31]2 years ago

8 0

7. 3/5 = 4.5/x

3x= 5(4.5)

x = 15/2

8. 6/4 = 9/x

6x= 45

x= 15/2

8. since triangle ABC and ADE are identical,

angle E is also 30 degrees

so angle D = 180-(30+70)=80 degrees

9. 9/3 = x/5

3x = 45

x = 45/3 = 15

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Deffense [45]

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A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer

Ostrovityanka [42]

well, this is just a matter of simple unit conversion, so let's recall that one revolution on a circle is just one-go-around, radians wise that'll be 2π, and we also know that 1 minute has 60 seconds, let's use those values for our product.

$\cfrac{300~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{2\pi ~rad}{~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{60secs}\implies \cfrac{(300)(2\pi )rad}{60secs}\implies 10\pi ~\frac{rad}{secs}\approx 31.42~\frac{rad}{secs}$