All categories

3 years ago

Rewrite the following without an exponent. (9/5^-2)

Mathematics

1 answer:

zvonat [6]3 years ago

6 0

Answer:

225

Step-by-step explanation:

5^-2 can be rewritten as 1/25.

Then we can divide 1/25 by 9. 9/(1/25)= 225

You might be interested in

What is the third quartile of this data set?<br> 21, 24, 25, 28, 29, 35, 37, 43, 44

Ronch [10]

Answer:

43.5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is 2+a when a=22?

Marina CMI [18]

Work: 2+22=24
answer:24

6 0

3 years ago

Read 2 more answers

A road has a 10% grade, meaning increasing 1 unit of rise to every 10 units of run.

finlep [7]

Answer:

Part a) The elevation of the road is $6\°$

Part b) The rise is $0.2\ km$

Step-by-step explanation:

Part a) What is the elevation of the road to the nearest degree?

Let

y-----> the rise of the road ( vertical distance)

x ----> the run of the road (horizontal distance)

we have

y/x=1/10

we know that

The ratio y/x is equal to the tangent of the angle of the elevation of the road

Let

$\theta$ ----> angle of the elevation of the road

$tan(\theta)=y/x$

$tan(\theta)=1/10$

$\theta=arctan(1/10)=6\°$

Part b) If the road is two km long, how much does it rise?

using proportion

$1/10=y/2$

$y=2/10=0.2\ km$

3 0

3 years ago

The expression 27 + 45 as a product using the GCF and distributive property.

Bogdan [553]

Answer:

(a) By Greatest Common Factor: (27 + 45 ) = 3( 9 + 15)

(b) By distributive property: (27 + 45 ) = 9(3) + 9(5)

Step-by-step explanation:

Here, the given expression is 27 + 45 .

Now, by Prime Factorization:

27 = 3 x 3 x 3

45 = 3 x 3 x 5

Here, the 3 is the ONLY prime common factor.

So, the Greatest Common Factor = 3

⇒ (27 + 45 ) = 3( 9 + 15)

Hence, by Greatest Common Factor: (27 + 45 ) = 3( 9 + 15)

Now, by distributive property:

A( B + C) = AB + AC

Here, in the given expression:

(27 + 45 ) = 9 ( 3 + 5) = 9(3) + 9(5)

or, (27 + 45 ) = 9(3) + 9(5)

Hence, by distributive property: (27 + 45 ) = 9(3) + 9(5)

5 0

4 years ago

The area of a parallelogram is 58 square inches. Its base is 8 inches. What is the height of the parallelogram?

guajiro [1.7K]

725 inches long.
<span>the height of the parallelogram?
</span>

6 0

3 years ago

Rewrite the following without an exponent. (9/5^-2)​

Rewrite the following without an exponent. (9/5^-2)