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2 years ago

PLEASE HELP DUE SOON

Mathematics

1 answer:

Anika [276]2 years ago

4 0

Answer:

x = 36

Step-by-step explanation:

The total angles of a triangle is 180 degrees

(2x - 17) + (x + 53) + x = 180

2x - 17 + x + 53 + x = 180

4x + 36 = 180

Subtract 36 from both sides;

4x = 144

Divide both sides by 4;

x = 36

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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

$\frac{1}{8}$

8 0

2 years ago

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Graph the inequality y > |x + 1| – 1. Which point is NOT part of the solution? (–1, 2) (1, −1) (–1, 0) (1, 3)

neonofarm [45]

Answer:

(1,-1)

Step-by-step explanation:

If you try plugging in the numbers for x in the equation y > Ix + 1I - 1, you'll find the answer.

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3 years ago

2x-y=0; y=x-2 Substitution

Contact [7]

Answer:

x=-2, y=-4. (-2, -4).

Step-by-step explanation:

2x-y=0

y=x-2

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

2x-(x-2)=0

2x-x+2=0

x+2=0

x=0-2

x=-2

y=-2-2=-4

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2 years ago

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Evaluate 5 + 2(x + 7)2 for x = -4. O A. 23 O B. 13 O C. 18 O D. 63

dusya [7]

Hey there! :)

Answer:

A. 23.

Step-by-step explanation:

Given:

5 + 2(x + 7)² for x = -4

Substitute in -4 for x in the equation:

5 + 2((-4) + 7)²

5 + 2(3)²

5 + 2(9)

5 + 18 = 23.

Therefore, the correct answer is A. 23.

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