If A = 10 feet, B = 6 feet, C = 1 foot, D = 14 feet, and E = 2 feet, what is the area of the object?

3² • 9³ = [ ]<br>solve

RideAnS [48]

Answer:

3⁸ or 6561

Step-by-step explanation:

First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

There are no parentheses, so let's solve the exponents.

3² • 9³

3² = 9

9³ = 729

Your expression is:

9 • 729

Now let's multiply.

= 6561

This number can also be expressed with exponents.

Since 9 = 3², 9³ = 3²⁽³⁾

Now your expression is:

3² • 3²⁽³⁾

First, solve the exponents by multiplying.

3² • 3⁶

When you multiply two expressions with exponents that have the same base (3), you add the exponents.

3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸

3⁸ also equals 6561.

Your answer is 3⁸ or 6561.

Hope this helps!

4 0

3 years ago

A circle with a radius of 5 has a sector with a central angle of 9/10pi radians what is the area of the sector

Snowcat [4.5K]

Answer:

11.25pi units² or 35.3 units² (3 sf)

Step-by-step explanation:

½×r²×theta

½ × 5² × 0.9pi

11.25pi units²

Or, 35.3 units² (3 sf)

6 0

3 years ago

Julian walked 6/10 of a mile to his friends house and another 35/100 mile to the store. He walked 1/4 of a mile back home. Julia

AveGali [126]

The statement, "Julian's sister said he walked 1/5 mile" cannot be agreed because Julian totally walked $1\frac{1}{5} \text{ or } \frac{6}{5}$ miles.

<u>Solution:</u>

Given that,

Julian walked 6/10 of a mile to his friends house
Another 35/100 mile to the store
He walked 1/4 of a mile back home

To find total distance walked by Julian we have to add the above stated values. That is, $\frac{6}{10} +\frac{35}{100} +\frac{1}{4}$

Factors of 10 = $5\times2$

Factors of 100 = $5\times2\times5\times2$

Factors of 4 = $2\times2$

Therefore, the least common factor of 10, 100 and 4 is 100. With like denominators we can operate on just the numerators,

$\frac{6\times10}{10\times10} +\frac{35\times1}{100\times1} +\frac{1\times25}{4\times1}\rightarrow\frac{60+35+25}{100}\rightarrow\frac{120}{100}$

$\Rightarrow\frac{120}{100}\rightarrow\frac{6}{5}$

Which can also be written as $1\frac{1}{5}$ .

So, from the above calculation it can be said that Julian walked $1\frac{1}{5} \text{ miles }$ .

3 0

3 years ago

The polygons are similar. Find the missing side length.

zloy xaker [14]

Answer:

44

Step-by-step explanation:

Since triangles are similar, so their corresponding sides would be in proportion.

Therefore,

$\frac{24}{32} = \frac{33}{?} \\ \\ \\ ? = \frac{32 \times 33}{24} \\ \\ ? = \frac{4\times 33}{3} \\ \\ ? = 4\times 11 \\ \\ ? = 44 \: units$

6 0

3 years ago

julia rented. a bike. for a week when she visted her cousin the rental cost for her bike was $12.95 per day she had. her own hel

ozzi

$12.95 multiplied by 7 days is $90.65
$2.25 multiplied by 4 days is $9
When you add the two together it equals a total cost of $99.65

6 0

4 years ago

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