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3 years ago

There are (4^9)^5 •4^0 books are the library. What is the total number of books at the library?

Mathematics

1 answer:

VladimirAG [237]3 years ago

8 0

4^45

When you have exponents like that, you have to multiply them together. So, 9*5 =45

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solniwko [45]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

6 9/10 x 20/21 Simplify your answer completely and change to a mixed number.

Sidana [21]

Answer:

$6\frac{4}{7}$

Step-by-step explanation:

Hello,

I am going to start with to change to a improper fraction:

1. I will convert 6 and 9/10 into a improper fraction:

$69/10$

2. Now that I have converted the mixed fraction into a improper I can multiply the numerator and the denominator.

$69 * 20 / 21 * 10 = 1380/210$

3. Now I can simplify this value and convert it into a mixed fraction

$46/7$

After further simplifying I can convert this into an mixed number

$6\frac{4}{7}$

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3 years ago

What is 42 divided by 7

Zinaida [17]

42 divided by 7 is is 6 hope this helps

4 0

3 years ago

Read 2 more answers

Identify the constant of proportionality from the graph. 11 10 9 00 7 6 5 1 2 3 4 5 6 7 8 9 10 11 O A. 4 B. 8 O c. D. 3

mafiozo [28]

Answer:

A. 4

Step-by-step explanation:

Constant of proportionality (k) = y/x

We can use the coordinates of any point on the line to find k.

Let's use (2, 8)

Constant of proportionality (k) = 8/2

Constant of proportionality (k) = 4

4 0

3 years ago

Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation

Vaselesa [24]

Answer:

$\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: } \frac{3\pi}{2}\text{ mi}$

Step-by-step explanation:

The circumference of a circle with radius $r$ is given by $C=2\pi r$ . The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle $\theta^{\circ}$ is equal to $2\pi r\cdot \frac{\theta}{360}$ .

Formulas at a glance:

Circumference of a circle with radius $r$ : $C=2\pi r$
Length of an arc with central angle $\theta^{\circ}$ : $\ell_{arc}=2\pi r\cdot \frac{\theta}{360}$

Question 1:

The radius of the circle is 12 m. Therefore, the circumference is:

$C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}$

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

$\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}$

Question 2:

In the circle shown, the radius is marked as 2 miles. Substituting $r=2$ into our circumference formula, we get:

$C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}$

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

$\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}$

8 0

3 years ago