Ask question

Ask question

All categories

3 years ago

6

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each value to the correct expressio

n.

1 answer:

serg [7]3 years ago

7 0

Answer:

a. 27

b. 3

c. 15

d. 22

You might be interested in

If a/b = 4, a = 8c, and c = 9, what is the value of b?

yaroslaw [1]

Answer:

18

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

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

so

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

so

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

so

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

how would you estimate the sum? just like estimate the fractions and then get your estimated answer? Q: 2 1/6 + 3 6/11

denis-greek [22]

I think estimation is terrible. If u want to truly solve it, you just need to get a common denominator on each of the fractions. that means the bottom half of both fractions must be the same in addition or subtraction. so here, the common denominator would be 66. What times 6 = 66? 11. So 1*11/6*11 = 11/66. Then what times 11 = 66? 6. So 6*6/6*11. Your new problem is 2 11/66 + 3 36/66. Now you can just add it up, but the denominators will always stay the same, 66. Your answer would be 5 47/66

4 0

3 years ago

Can you ever use a calculator to determine if a number is rational or irrational?

timofeeve [1]

A rational number is simply a term that can be expressed as a fraction. Otherwise, that is an irrational number. So, you can use a calculator to verify if the number is rational or not.

The key characteristic of an irrational number is when it contains a long line of decimal places. For example, the term π and the Euler's number e are irrational numbers. The exact values of π and e are 3.14159 and <span>2.71828182846, respectively. In reality, those decimal places go on a long way. Particularly, </span>π<span> has a total of 2.7 trillion digits. Numbers inside radicals or roots can also be irrational numbers. For example </span>√3 is irrational because it is equal to 1.732050808. However, not all radicals are irrational. For example √15.3664 is equal to 98/25 or 3.92. That is a rational number. So, therefore, use the calculator to know the exact value of the term to properly distinguish rational from irrational.

3 0

3 years ago

Home of points!!! ok get your

Korvikt [17]

Answer:

Hi!

Explanation:

Hope your day is going well!

4 0

2 years ago

Read 2 more answers