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2 years ago

Divide 81 into the ratio 5:4

Mathematics

1 answer:

yanalaym [24]2 years ago

7 0

Answer:

45:36 is the answer.

Step-by-step explanation:

Divide 81 by sum of ratio.

81/(5+4)=81/9=9

So,

5×9 : 4×9

45 : 36

Check: 45+36=91

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The number of camera phones shipped globally can be modeled by the function y=1.28e^1.31x where x is the number of years since 1

erik [133]

The first thing you should know for this case is how many years there are from 1997 to 2014.
The number of years is:
x = 2014-1997 = 17
Then, you must replace this value in the given equation:
y = 1.28e ^ 1.31x
y = 1.28 * e ^ (1.31 * (17))
y = 6011018736
answer:
the number of camera phones shipped in millions in 2014 is
y = 6011018736

8 0

3 years ago

The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$\frac{7}{10}^{3}=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

8 0

3 years ago

PLEASE HELP WITH 7&8

lbvjy [14]

I wrote my answer in the picture

5 0

3 years ago

Divide.<br><br> 7 9/6 divided by 2 3/4

rosijanka [135]

Answer:

2 20/69

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The sum of 42 and x is equal to 97.45. What's the equation for the sentence?!! Help!

gogolik [260]

Answer:

X = 97.45 - 42

Step-by-step explanation:

If 42 + X = 97.45, X needs to be 97.45 - 42

you can do the same thing with smaller numbers, for example:

5 + X = 7

7 - 5= 2 and you can check for sure that this is the answer by adding them together 5 + 2= 7 so it's definitely the right answer

so for this question, 97.45- 42 = 55.45 so that's X

you can check that by 55.45 + 42 and if the answer is 97.45 that's the right answer!

I hope that makes sense

8 0

3 years ago