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mihalych1998 [28]
3 years ago
15

On a world​ globe, the distance between City A and City​ B, two cities that are actually 10 comma 480 kilometers​ apart, is 13.9

inches. The actual distance between City C and City D is 1590 kilometers. How far apart are City C and City D on this​ globe?
City C and City D are

nothing inches apart on this globe.

​(Type an integer or decimal rounded to the nearest tenth as​ needed.)
Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

2.1\ in

Step-by-step explanation:

we know that

The scale of the world globe is equal to

\frac{13.9}{10,480}\frac{in}{km}= 0.0013\frac{in}{km}

To find the distance between City C and City D on the globe, multiply the actual distance by the scale

0.0013\frac{in}{km}*(1,590\ km)=2.1\ in

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Determine whether
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Answer:

(a) and (b) are not equivalent

(c) is equivalent

Step-by-step explanation:

Given

\frac{25^m}{5}

Required

Determine an equivalent or nonequivalent expression

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25^{m-1

Apply law of indices

25^{m-1} = \frac{25^m}{25}

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(b)\ 25^{2m - 1}

We have:

25^{2m - 1}

Apply law of indices

25^{2m - 1} = \frac{25^{2m}}{25}

<em>This is not equivalent to </em>\frac{25^m}{5}<em></em>

<em></em>

<em />(c)\ 5^{2m-1}<em />

We have:

<em />5^{2m-1}<em />

Apply law of indices

<em />5^{2m-1} = \frac{5^{2m}}{5^1}<em />

<em />5^{2m-1} = \frac{5^{2m}}{5}<em />

<em>Evaluate the numerator</em>

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<em />

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2 years ago
The cube with side 2 is cut from the corner of rectangular prism with dimensions 4×3×5. Find the volume and total surface area o
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Answer:

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Surface Area: 94 units.

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The volume is relatively simple to find. Just subtract the original volume by the 2x2x2 cube's volume. The original volume is 60. The cube's volume is 2x2x2 which is 8. 60-8=52.

The surface area is harder to find. Try to envision the corner of the rectangle being cut out. We see that each side of the cube has a surface area of 2x2 which is 4. In the picture, we see that three sides of the rectangle has been partially removed. But since each side of the cube has an equal surface area, it is safe to minus 3 of the sides that has been partially removed by 3. However, since that it is the corner, the "dent" that the cube made in the rectangle also needed to be counted. As we said, each of the sides of a cube has a surface area of 4, so since that the dent has 3 sides, we see that the surface area of the dent is 4x3 which is 12. Now we need to count the unaffected sides of the rectangle. There are three of them. Just multiply the edges to find the surface area of each side. Add all of the values up: 11+16+12+8+15+12+20=94 units.

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