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Novay_Z [31]
3 years ago
15

Which figure shows how a shape can be rotated about an axis to form a hemisphere?

Mathematics
1 answer:
wariber [46]3 years ago
5 0

Answer:

A. (first choice)

Step-by-step explanation:

Examine all options:

A. The diagram shows the arc (1/4 from a circle). While rotating this arc about the given axis, we get the hemisphere.

B. The diagram shows the semicircle (1/2 from a circle). While rotating this semicircle about the given axis, we get the whole sphere.

C. The diagram shows the segment (perpendicular to the axis). While rotating this segment about the given axis, we get the circle (lying in a plane).

D. The diagram shows the segment. While rotating this segment about the given axis, we get the cone.

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The dimensions for a rectangular prism are x + 7 for the length, x +9 for the width, and x for the height
Simora [160]

Answer:

V = x^{3} + 63

Step-by-step explanation:

Substitute:

V = lwh

V = (x + 7)(x + 9)(x)

Multiply:

V = (x + 7)(x + 9)(x)

V = x^3 + 63

7 0
3 years ago
Javon has 3.36 pound of dog food left. His dog Sparky eats 0.24 pounds a day. How many days worth of dog food does Javon have le
Westkost [7]

Let d = number of days worth of dog food remaining.

d = 3.36 ÷ 0.24

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Done.

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3 years ago
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The shipping cost for an on-line company increases exponential based on the number of dollars the consumer has spent. It can be
enot [183]

Answer:

y = 5 + 0.003(2^{x})

Step-by-step explanation:

If a base shipping charge of $ 5 is collected, it means that regardless of the amount of money spent, a base payment of $ 5 must be made for the shipment. Therefore the graph of the exponential function must move 5 units up on the positive y axis. Your new cutoff point with the positive y axis will be y = $ 5.003

Therefore, the new function that represents the shipping cost will be:

y = 5 + 0.003(2^{x})

with x \leq 20

8 0
3 years ago
Work must be shown for this problem! The figure shown below is a rectangle. Make sure to solve for y and DC. Place both answers
abruzzese [7]

Answer:

y=16

DC=276

Step-by-step explanation:

Since in a rectangle, the two opposite sides are always congruent (equal lengths), this means that 17y+4 is equal to the value of 11y+100.

So, solve for y.

17y+4=11y+100

-11y      -11y

6y+4=100

    -4     -4

<u>6y</u>=<u>96</u>

6      6

y=16

And then to find DC, you just need to plug in the y value.

11(16)+100=DC

176+100=DC

276=DC

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Answer:

Step-by-step explanation:

open circle 2 left

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