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erastovalidia [21]
3 years ago
11

What is the volume of a rectangle or prism with the height of 4 cm a width of 2 cm and a length of 5 cm A: 13 cubic centimetersB

:30 cubic centimeters C:40 cubic centimeters D: 50 cubic centimeters
Mathematics
1 answer:
mezya [45]3 years ago
7 0

Answer: The answer would be C

Step-by-step explanation:

This is because you need to multiply all three numbers together. When you do, you get 40. :) Hope this helps!!

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A firework is launched at the rate of 10 feet per second from a point on the ground 50 feet from an observer. to 2 decimal place
Kazeer [188]

The rate of change of the angle of elevation when the firework is 40 feet above the ground is 0.12 radians/second.

First we will draw a right angle triangle ΔABC, where ∠B = 90°

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If the angle of elevation, ∠ACB = α, then

tan(α) = \frac{AB}{BC} = \frac{h}{x}

Taking inverse trigonometric function, α = tan⁻¹ (\frac{h}{x}) .............(1)

As we need to find the rate of change of the angle of elevation, so we will differentiate both sides of equation (1) with respect to time (t) :

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Here, the firework is launched from point B at the rate of 10 feet/second and when it is 40 feet above the ground it reaches point A,

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C is the observer's position which is 50 feet away from the point B, so x = 50 feet.

\frac{d\alpha}{dt}= [\frac{1}{1+ \frac{40^2}{50^2}}] *\frac{1}{50} *10\\ \\ \frac{d\alpha}{dt} = [\frac{1}{1+\frac{16}{25}}] *\frac{1}{5}\\ \\ \frac{d\alpha}{dt} = [\frac{25}{41}] *\frac{1}{5}\\   \\ \frac{d\alpha}{dt}= \frac{5}{41} =0.1219512

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So, the rate of change of the angle of elevation is 0.12 radians/second.

5 0
3 years ago
a construction company charges $15 per hour for debris removal , plus a one -time fee for the use of the trash dumpster.the tota
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D. 34 and 56 degrees - when added together equal 90 degrees
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