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Fiesta28 [93]
2 years ago
9

The area of a triangular board is 150.5 square inches.The base is 43 inches.What is the height?

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
6 0

Answer: height is 7 inches

Step-by-step explanation:

height=2 ×Area/Base

= 2 (150.5/43)

=2 (3.5)

h = 7

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A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st
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Answer:

Equation of movement y(t)

y(t)=sin(10t-\pi/2)

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

A=1\,inch

The period depends on the mass and the spring constant.

The formula for the period is:

T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s

The model y(t) for the movement of the mass-spring system is

y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)

8 0
3 years ago
Alyssa is learning to drive her parents' car. • • • • She increases her speed for 20 seconds. She slows down for 10 seconds. She
anygoal [31]
<h3>Answer: Choice D</h3>

Explanation:

Any time Alyssa is increasing her speed, the graph will move uphill when going from left to right.

If she slows down, then the graph will move downhill when going left to right.

Always move from left to right when reading a graph because this is how the time axis is set up.

Any flat part represents portions where her speed is constant, i.e. doesn't change.

With all that in mind, the answer is choice D because

  • The first portion is going uphill (she's increasing her speed). This portion spans horizontally from 0 seconds to 20 seconds.
  • The next portion is her slowing down (the graph is going downhill). This portion spans horizontally from 20 seconds to 30 seconds (so we have a 10 second duration).
  • The third portion is where Alyssa is driving at some fixed speed that doesn't change. This portion is 20 seconds long.
  • The last portion is Alyssa slowing down and coming to a complete stop. This portion is 5 seconds long.
7 0
2 years ago
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