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3 years ago

(n-2) 180 divided by n

Mathematics

1 answer:

Vilka [71]3 years ago

7 0

Answer: n=90

Step-by-step explanation:

(n-2) 180

(n-2) = 2n

2n/180 =90

you find a number that both 2 and 180 go into which is 2

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A garden table and a bench cost $781 combined. The garden table costs $69 less than the bench. What is the cost of the bench?

Arlecino [84]

Answer:

$425

Step-by-step explanation:

x = bench

x - 69 = garden table

x + (x - 69)=781

x + x - 69 =781

2x - 69 = 781

2x -69 +69 = 781 + 69

2x = 850

2x/2 = 850/2

x = 425

Bench = 425

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3 years ago

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What is the range of the function shown in the graph below?

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A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh

monitta

Answer:

The portion of the volume of the cup that is filled with water is $\frac{1}{8}$

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=6\ cm$

$h=12\ cm$

substitute

$V=\frac{1}{3}\pi (6)^{2}(12)$

$V=144\pi\ cm^{3}$

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

$V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}$

therefore

The portion of the volume of the cup that is filled with water is

$\frac{1}{8}$

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3 years ago

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Need some help with this please

saveliy_v [14]

-0.83 for it’s the lowest number

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Answer correctly for brainliest +10 points!

Natalka [10]

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