3 years ago

Write a fraction that is equivalent to 3/5 that has a denominator of 20.

Mathematics

1 answer:

jek_recluse [69]3 years ago

6 0

Answer:

12/20

Step-by-step explanation:

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Complete the ratio<br> 4 : 32 = 1 : ?

zavuch27 [327]

Answer:

1: 8

Step-by-step explanation:

4 : 32

Divide both the left and right side by 4

4/4 =1

32/4 = 8

4:32 becomes 1:8

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3 years ago

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In the diagram, FG=34, GH=288, and HJ=256. Is GH tangent to circle F?

Anastaziya [24]

Answer:

Step-by-step explanation:

If GH is tangent to circle F, then it forms a right angle with FG. Therefore, triangle FGH would be a right triangle and would satisfy Pythagorean theorem.

34² + 256² = 288²

66692 = 82944

The sides are not a Pythagorean triple, so GH is not tangent to the circle.

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3 years ago

A figure is composed of a semicircle and a right triangle. Determine the area of the shaded region. Use 3.14 for π and round to

Aliun [14]

Answer:

$A=9.5\ ft^2$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of triangle plus the area of semicircle

$A=\frac{1}{2}bh+\frac{1}{2}\pi r^{2}$

we have

$b=4\ ft$

Find the height of the right triangle applying the Pythagorean Theorem

$5^2=h^2+4^2$

$h^2=9\\h=3\ ft$

The radius of the semicircle is half the height of triangle

$r=3/2=1.5\ ft$

substitute in the formula

$A=\frac{1}{2}(4)(3)+\frac{1}{2}(3.14)(1.5)^{2}$

$A=6+3.5=9.5\ ft^2$

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3 years ago

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Wesley earned $72 walking dogs for 6 hours. How many total hours will it take Wesley to earn $96 in all? Solve using unit rates.

MissTica

8 hours

72/6=12 $12 and hour 96/12=8 8 hours to earn $96

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3 years ago

For which of the following compound inequalities is there no solution?

tamaranim1 [39]

Answer:

I THINK A

Step-by-step explanation:

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