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s2008m [1.1K]
2 years ago
10

Solve. Use the basic percent equation. Round to two decimal places. What percent of 12 is 7?

Mathematics
1 answer:
mariarad [96]2 years ago
6 0

Answer:

Step-by-step explanation:

58.33333333333333

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Polygon ABCD is a parallelogram, and <img src="https://tex.z-dn.net/?f=m" id="TexFormula1" title="m" alt="m" align="absmiddle" c
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<span>Polygon ABCD is a parallelogram
m<ABC = m<ADC = 127

360 - 2(127) = 360 - 254 = 106

m<BCD = m<BAD = 106/2 = 53 
</span>P = 2(10 + 5) = 2(15) = 30

answer
<span>The perimeter of the parallelogram is 30 units, and </span>m<BCD is 53°
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Nadia’s bookshelf contains 10 fiction books, two reference books, and five nonfiction books. What is the probability that she ra
pshichka [43]

Answer:

5/136

Step-by-step explanation:

Probability is the chance of an event happening.

Probability = (Favorable outcome)/(total outcome)

P(r and n) = 2/17 × 5/16

=(2 × 5)/(17 × 16)

= 10/272

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Jeanine’s swimming pool has a diameter of 27 feet. Surrounding the pool is a
Anuta_ua [19.1K]

Answer:

It will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck

Step-by-step explanation:

Diameter of swimming pool = 27 feet

Radius of pool r=\frac{27}{2}=13.5 feet

Surrounding the pool is a  deck that extends 5 feet from the edges of the pool

Outer radius R = 13.5+5=18.5

Area of deck = Outer area - Inner area

Area of deck =\pi R^2 -\pi r^2

Area of deck = 3.14(18.5^2-13.5^2)

Area of deck = 502.4 ft^2

Cost of painting 1 sq.feet = $0.85

Cost of painting 502.4 sq.feet = 502.4 \times 0.85=427.04

Perimeter of deck = 2 \pi R = 2 \times 3.14 \times 18.5 =116.18 feet

Cost of fencing 1 foot = $8.25

Cost of fencing 116.18 foot = 116.18 \times 8.25=958.485

Hence it will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck

6 0
2 years ago
This line plot shows something about trails in a state park. What is true about the data in this line plot?
Zepler [3.9K]

Answer:

The total length of the Dogwood Trail is 24 kilometers

The difference between the lengths of the trails is 6 kilometers

Step-by-step explanation:

<u><em>The complete and correct question is</em></u>

The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.

Which of the following statements are true about the lengths of the trails? Check all that apply.

1.The total length of the Dogwood Trail is 16 kilometers.

2.The total length of the Dogwood Trail is 24 kilometers.

3.The Elm Trail is longer than the Dogwood Trail.

4.The difference between the lengths of the trails is 2 kilometers.

5.The difference between the lengths of the trails is 6 kilometers.    

<u><em>The picture in the attached figure</em></u>

step 1

Find the value of a

Applying the Pythagorean Theorem in the right triangle ABC

13^2=a^2+5^2\\a^2=169-25\\a^2=144\\a=12\ km

step 2

Find the value of b

Applying the Pythagorean Theorem in the right triangle CDE

5^2=b^2+3^2\\b^2=25-9\\b^2=16\\b=4\ km

step 3

Find the total length of the Dogwood Trail (solid blue line)

The total length is equal to

AD=AB+BC+CE+ED ---> by segment addition postulate

substitute the given values

AD=a+5+b+3=(a+b+8)\ km

substitute the value of a and b

AD=(12+4+8)=24\ km

step 4

Find the total length of the Elm Trail  (dashed red line)

The total length is equal to

AD=AC+CD ---> by segment addition postulate

substitute the given values

AD=13+5=18\ km

<u><em>Verify the following statements</em></u>

Part 1) The total length of the Dogwood Trail is 16 kilometers

The statement is false

Because

The total length of the Dogwood Trail is 24 kilometers (see the explanation)

Part 2) The total length of the Dogwood Trail is 24 kilometers

The statement is true (see the explanation)

Part 3) The Elm Trail is longer than the Dogwood Trail

The statement is false

Because

The Elm Trail is smaller than the Dogwood Trail

18\ km < 24\ km

Part 4) The difference between the lengths of the trails is 2 kilometers

The statement is false

Because

The difference is equal to

24-18=6\ km

Part 5) The difference between the lengths of the trails is 6 kilometers

The statement is true

Because

The difference is equal to

24-18=6\ km

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Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as
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Step-by-step explanation:

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