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Setler [38]
3 years ago
13

Which of the following best represents the slope of line M shown above?

Mathematics
1 answer:
vova2212 [387]3 years ago
8 0

Answer:

-2

Step-by-step explanation:

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If the shape in the diagram rotates about the dashed line, which three-dimensional object will be formed?
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Step-by-step explanation:

Rotation means the circular moment of an object about some axis or center.

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The size of the object remains same after rotation.

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Mary found 98 seashells and 34 starfishes on the beach. She gave Nancy some of her seashells. She has 39 seashells left. How man
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Help this is due tomorrow please! Carter has 88 feet of fencing to enclose a dog pen in his yard. He is trying to decide whether
svet-max [94.6K]
<h3>Answer:</h3>

The circle makes the larger area

The difference in the two areas is roughly 132.2479 square feet.

=================================================

Explanation:

If Carter decides to go for a circle, then 88 is the circumference, which is the distance around the circle (aka perimeter of the circle).

Use this to find the radius needed

C = 2*pi*r

r = C/(2pi)

r = 88/(2pi)

r = 44/pi

I'll leave it in exact form rather than approximate it.

Once we know the radius, we can find the area of the circle.

A = pi*r^2

A = pi(44/pi)^2

A = pi*(1936/(pi^2))

A = 1936/pi

A = 616.247939651819 approximately

I used my calculator's stored version of pi to compute the area in the final step.

We'll be comparing this number later, so hold onto it for now.

-------------------------------------

If Carter instead decides for a square, then 88 is the perimeter since it's the amount of fencing he has to work with.

Divide it into 4 pieces to find the length of each side of the square (all sides are equal in a square)

88/4 = 22

Each side is 22 feet

The area of this square is (22)^2 = 22*22 = 484 square feet

--------------------------------------

Summary:

  • If Carter goes for a circular enclosure, then he gets roughly 616.2479 square feet.
  • The square enclosure only gets him exactly 484 square feet.

The circle wins in terms of larger area.

The difference being roughly 616.2479  - 484 = 132.2479 square feet.

3 0
3 years ago
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