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2 years ago

Solve surface area please! Quick it’s due soon

Mathematics

1 answer:

just olya [345]2 years ago

5 0

Answer:

SA = 470 m²

volume = 494 m³

Step-by-step explanation:

Individual areas

Back = 4 x 19 = 76 m²

Top = 5 x 19 = 95 m²

sloped side = 5 x 19 = 95 m²

base = 8 x 19 = 152 m²

end = (4 x 5) + 1/2(3 x 4) = 26 m²

Total SA = 76 + 95 + 95 + 152 + (2 x 26) = 470 m²

Volume

volume = (4 x 5 x 19) + 1/2(3 x 4 x 19) = 494 m³

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To solve this we are going to use the kinematic equation for final velocity: $V_{f}=V_{i}+at$
where
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$t$ is the time

We know for our problem that the the velocity at the beginning of the slope is $2.0ms^{-1}$ , so $V_{i}=2.0$ . We also know that the speed ad the bottom of the slope is $20ms^{-1}$ , so $V_{f}=20$ . We also know that the acceleration is $6ms^{-2}$ , so $a=6$ . Lets replace those values in our formula and solve for $t$ :
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$t= \frac{18}{3}$
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We can conclude that it takes the roller coaster 3 seconds to reach the bottom of the slope.

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3 years ago

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