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2 years ago

9

Apply the distributive property to factor out the greatest common factor. 32+44=32+44=

1 answer:

Brut [27]2 years ago

7 0

Answer:

76

Step-by-step explanation:

32+44=76 so the answer is 76

You might be interested in

Is V72 rational or irrational? And why

Evgesh-ka [11]

Irrational, because if you simplify the root V72=6V2

7 0

2 years ago

A Fruit Stand sells 6 oranges for $3.00 and grapefruit for $2.40 people buy 10 oranges and 11 grapefruits much does the fruit sp

Harlamova29_29 [7]

<span>The <u>correct answer</u> is:

$31.40.

Explanation<span>:

Since 6 oranges cost $3.00, we can divide to find the cost of one orange:

3.00/6 = $0.50. Each orange costs $0.50.

If ten oranges are bought, this would cost 10(0.50)=$5.00.

Each grapefruit costs $2.40; 11 of them would cost 11(2.40) = 26.40.

Together the total cost is $5+$26.40 = $31.40.</span></span>

6 0

3 years ago

Read 2 more answers

35 POINTS AVAILABLE

aliina [53]

Answer:

Part 1) The length of each side of square AQUA is $3.54\ cm$

Part 2) The area of the shaded region is $(486\pi-648)\ units^{2}$

Step-by-step explanation:

Part 1)

<em>step 1</em>

Find the radius of the circle S

The area of the circle is equal to

$A=\pi r^{2}$

we have

$A=25\pi\ cm^{2}$

substitute in the formula and solve for r

$25\pi=\pi r^{2}$

simplify

$25=r^{2}$

$r=5\ cm$

<em>step 2</em>

Find the length of each side of square SQUA

In the square SQUA

we have that

SQ=QU=UA=AS

$SU=r=5\ cm$

Let

x------> the length side of the square

Applying the Pythagoras Theorem

$5^{2}=x^{2} +x^{2}$

$5^{2}=2x^{2}$

$x^{2}=\frac{25}{2}\\ \\x=\sqrt{\frac{25}{2}}\ cm\\ \\ x=3.54\ cm$

Part 2) we know that

The area of the shaded region is equal to the area of the larger circle minus the area of the square plus the area of the smaller circle

<em>Find the area of the larger circle</em>

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=AB=18\ units$

substitute in the formula

$A=\pi (18)^{2}=324\pi\ units^{2}$

step 2

Find the length of each side of square BCDE

we have that

$AB=18\ units$

The diagonal DB is equal to

$DB=(2)18=36\ units$

Let

x------> the length side of the square BCDE

Applying the Pythagoras Theorem

$36^{2}=x^{2} +x^{2}$

$1,296=2x^{2}$

$648=x^{2}$

$x=\sqrt{648}\ units$

step 3

Find the area of the square BCDE

The area of the square is

$A=(\sqrt{648})^{2}=648\ units^{2}$

step 4

Find the area of the smaller circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=(\sqrt{648})/2\ units$

substitute in the formula

$A=\pi ((\sqrt{648})/2)^{2}=162\pi\ units^{2}$

step 5

Find the area of the shaded region

$324\pi\ units^{2}-648\ units^{2}+162\pi\ units^{2}=(486\pi-648)\ units^{2}$

7 0

2 years ago

A number increace by a 5 is 12

svetlana [45]

7 is the number increased by 5 = 12

8 0

2 years ago

The ratio of girls to boys

amm1812

Answer:

36girls

Step-by-step explanation:

3/1*12=36. To check 36/12=3/1=3:1

6 0

1 year ago