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3 years ago

What is 12 percent of 120?

1 answer:

5 0

12% of 120 is 14.4

Change the percentage into a decimal by dividing over 100:

12 / 100 = 0.12

Multiply:

0.12 × 120 = 14.4

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Find A and B. Using the image above.

NeX [460]

Answer:

a = 7, b = $\frac{7\sqrt{3} }{3}$

Step-by-step explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{7\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

a × $\sqrt{2}$ = 7 $\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

a = 7

--------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan60° = $\sqrt{3}$ , then

tan60° = $\frac{opposite}{adjacent}$ = $\frac{a}{b}$ = $\frac{7}{b}$ = $\sqrt{3}$ ( multiply both sides by b )

b × $\sqrt{3}$ = 7 ( divide both sides by $\sqrt{3}$ )

b = $\frac{7}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ = $\frac{7\sqrt{3} }{3}$

7 0

2 years ago

Convert the repeating decimal to a fraction

lilavasa [31]

17. 2/3
18. 1 1/9
20.9 1/11
21. 2 909/100 (closest i could get)
Hope I helped and hope you had a good day!

6 0

3 years ago

Lea is reading a book that is 165 pages. She reads 15 pages each day. Which equation can be used to determine the number of days

Nezavi [6.7K]

Answer:

Step-by-step explanation:

7 0

3 years ago

If your algorithm runs its critical section 1 + 2 + 3 + ... + (n-2) + (n-1) + n times, what is the asymptotic behavior of the al

Paraphin [41]

If 1 and 2 becomes multiplayed gave 3 and 3+3=4 (4-2)+(4-1)= 2+3=4 and 4 is n.

4 0

3 years ago

Alex and his friend Kim made a one-gallon pitcher of lemonade because it was so hot. They drank 5 glasses that each help 2 cups

natulia [17]

we know that

4 cups of lemonade = 1 quart

1 gallon of lemonade = 4 quarts

1 gallon of lemonade = 16 cups

Step 1

find the amount of lemonade that's left expressed in cups

5 glasses * 2 cups = 10 cups

16 cups - 10 cups = 6 cups.

There are 6 cups of lemonade left.

Step 2

find the amount of lemonade that's left expressed in quarts:

4 cups = 1 quart.

(6 cups divided by 4 cups will equal the quarts.)

6/4=1.5

6 cups = 1.5 quarts.

There are 1.5 quarts of lemonade left.

Step 3

find the amount of lemonade that's left expressed in gallons

4 quarts = 1 gallon.

(1.5 quarts divided by 4 quarts will equal the gallon)

1.5/4=0.375

1.5 quarts = 0.375 gallon.

There is 0.375 gallon left of lemonade.

6 0

3 years ago