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Kipish [7]
3 years ago
6

A sphere with radius r and a cylinder with radius r and a height of r are shown below. How do the surface areas of these solid f

igures compare? Which statements are correct? Check all that apply. The surface area of the sphere in terms of r is 4πr2 square units. The surface area of the cylinder in terms of r is 4πr2 square units. The surface area of the cylinder in terms of r is 6πr2 square units. The surface area of the cylinder and sphere are the same. The surface area of the cylinder and sphere are not the same.
Mathematics
2 answers:
AnnyKZ [126]3 years ago
7 0

Answer:

  • The surface area of the sphere in terms of r is 4πr^2 square units.
  • The surface area of the cylinder in terms of r is 4πr^2 square units.
  • The surface area of the cylinder and sphere are the same.

Step-by-step explanation:

The surface area of the sphere is given by the formula ...

  A = 4πr^2

The surface area of the cylinder is given by the formula ...

  A = 2πr^2 +2πrh

Here, the height (h) is equal to r, so this simplifies to ...

  A = 2πr^2 +2πr·r = 4πr^2 . . . . . the same area as the sphere

kykrilka [37]3 years ago
7 0

Answer:

A, B, and D are the correct answers (Edge)

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2 years ago
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Y = x² – 4 y = 2r + 4​<br><br>Solve algebraicallu for the solutions of equations below.
oksano4ka [1.4K]

Step-by-step explanation:

Okay, the first step is to rewrite this equation in "vertex form." You can search that up but it's basically just (h/k).

y = ( x − 1) 2 + 3

Now, we are going to use the vertex form, "y = a (x - h)2 + k, to get the values of a, h, and k.

By using the form we get 1 for the value a, 1 for the value h, and 3 for the value k.

1 = a

1 = h

3 = k

Becuse the value of a is positive, the parabola opens up!  (A parabola is the U shaped line in a graph, so that opens up.)

Now, we find the vertex (h,k)

which is (1,3)

Now we find the p from the vertex to the focus.  (vertext the top, focus one of the points.)

Follow this formula to find the distance from the vertex to a focus by using this formula

1/4a.

Now we just gonna substitue 1 for a, since we know that 1 equals a above ^

1/4 * 1

Solving that, we got a nice little 1/4.

Next we find the focus

"Find the focus.

The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.

(h,k+p)

Substitute the known values of h, p, and k into the formula and simplify.

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Find the axis of symmetry by finding the line that passes through the vertex and the focus.

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Find the directrix.

y=114

Use the properties of the parabola to analyze and graph the parabola.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

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Directrix: y=114

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xy−1704132437

Graph the parabola using its properties and the selected points.

Direction: Opens Up

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xy−17041324"

(Sorry if this is long! But I hope you understand it better now! Thanks for the points!)

3 0
2 years ago
What is the inverse of the following statement? If m is the midpoint of PQ, then PM is congruent to QM
stepan [7]

The inverse of the statement is M be the point on PQ since PM is congruent to QM than M is midpoint on the PQ.

<h3>What do you mean by inverse?</h3>

Inverse of the statement means that explain the condition in reverse way or vice versa.

Since, M is the midpoint of PQ, then PM is congruent to QM.
Proving in reverse way, let m be the point between P and Q the distance M from P is equal to the distance from M to Q. Which implies that M lies as the mid of the P and Q.

Thus, the inverse of the statement is M be the point on PQ since PM is congruent to QM than M is midpoint on the PQ.

Learn more about inverse here:
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5 0
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Answer:

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Divide each side by -2, and flip the inequality because we are dividing by a negative number:

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