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4 years ago

What shape is generated when rectangle ABCD is rotated around the vertical line through A and D?

Mathematics

2 answers:

stealth61 [152]4 years ago

7 0

Answer:

<h2>C. Cylinder.</h2>

Step-by-step explanation:

When we rotate a rectangle around a vertical axis, we generate a cylinder.

All surface figures that can create a volumetric figure like this case, they are called Surface of Revolution, which is defined as all surfaces created by rotating a curve.

In this case, that curve is a rectangle, which by definition creates a cylinder.

Therefore, the right answer is C.

katovenus [111]4 years ago

3 0

Answer:

C. Cylinder

Step-by-step explanation:

When a rectangle is rotated about a vertical line then the shape generated is a cylinder.

Thus the rectangle ABCD rotated about AD will form a cylinder.

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3 years ago

Distribute: 5(2x + 3)

gtnhenbr [62]

Answer:
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3 years ago

Read 2 more answers

I'm not really good at math, but i would appreciate it if i can get some help with this math problem. 2y^3-4x^2-4-1+3x^2-3y^3-y^

SOVA2 [1]

Answer:

-2y^2 -x^2 -5

Step-by-step explanation:

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3 0

3 years ago

5. MAPPING Ben and Kate are making a

Rainbow [258]

Answer:

a. 1,000 yards

b. (2, -1)

Step-by-step explanation:

Coordinates of Ben's House = (6, 2)

Coordinates of Kate's House = (-2, -4)

a. Number of yards between Kate and Ben's House using instance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

$d = \sqrt{(6 -(-2))^2 + (2 -(-4))^2}$

$d = \sqrt{(8)^2 + (6)^2}$

$d = \sqrt{64 + 36}$

$d = \sqrt{100}$

$d = 10 units$

1 unit = 100 yards

Therefore, 10 units = 1,000 yards.

Kate and Ben's House are 1,000 yards apart.

b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Plug in the values

$M(\frac{6 +(-2)}{2}, \frac{2 +(-4)}{2})$

$M(\frac{4}{2}, \frac{-2}{2})$

$M(2, -1)$

6 0

3 years ago