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Aliun [14]
2 years ago
10

Calculate the area of this figure. Show all work and include proper units. Check photo for units

Mathematics
1 answer:
Allushta [10]2 years ago
5 0

Answer:

  • 92 ft²

Step-by-step explanation:

If you complete the square, you will add a right triangle with legs 10 - 6 = 4 ft.

<u>The area of the figure is:</u>

  • A = 10² - 1/2*4*4 = 100 - 8 = 92 ft²
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Jerry is a judge. He hears 555 cases every 2 3/8. Jerry hears cases at a constant rate. How many cases does he hear per hour?
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About 2.1 cases so it maybe 2 full cases. Hope this helped!
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3 years ago
Could you please look at this question?
MrMuchimi

Answer:

  a. see attached

  b. H(t) = 12 -10cos(πt/10)

  c. H(16) ≈ 8.91 m

Step-by-step explanation:

<h3>a.</h3>

The cosine function has its extreme (positive) value when its argument is 0, so we like to use that function for circular motion problems that have an extreme value at t=0. The midline of the function needs to be adjusted upward from 0 to a value that is 2 m more than the 10 m radius. The amplitude of the function will be the 10 m radius. The period of the function is 20 seconds, so the cosine function will be scaled so that one full period is completed at t=20. That is, the argument of the cosine will be 2π(t/20) = πt/10.

The function describing the height will be ...

  H(t) = 12 -10cos(πt/10)

The graph of it is attached.

__

<h3>b. </h3>

See part a.

__

<h3>c.</h3>

The wheel will reach the top of its travel after 1/2 of its period, or t=10. Then 6 seconds later is t=16.

  H(16) = 12 -10cos(π(16/10) = 12 -10cos(1.6π) ≈ 12 -10(0.309017) ≈ 8.90983

The height of the rider 6 seconds after passing the top will be about 8.91 m.

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3 years ago
Alex wants to have $3000 in his bank account after 4 years. If the account earns 6% interest compounded 2 times per year, how mu
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3 years ago
HELP ASAP LINEAR EQUATIONS!!
Vesnalui [34]

Answer:

y = 4/3x - 10.

Step-by-step explanation:

3x + 4y = 12

4y = -3x + 12

y = -3/4x + 3

If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.

So far, for the equation of the line, we have an equation of y = 4/3x + b.

To find b, simply substitute the coordinates (6, -2) for x and y.

-2 = 4/3(6) + b

b + 4/3(6) = -2

b + 8 = -2

b = -10

So, the equation of the line will be y = 4/3x - 10.

Check your work...

-2 = (4/3)(6) - 10

-2 = 8 - 10

-2 = -2

Hope this helps!

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3 years ago
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Answer:

Step-by-step explanation:

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3 years ago
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