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Semmy [17]
2 years ago
12

Two parallel lines are shown with a transversal, what is the value of x? I​

Mathematics
1 answer:
USPshnik [31]2 years ago
4 0

Answer:

There's no picture attached

Step-by-step explanation:

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What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for x.)
marshall27 [118]

The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

V = \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415)(4^{2} )(15) = 251.32 cubic cm.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

5 0
3 years ago
What is the square root of 50x^4
love history [14]

Answer:

5x²√2

Step-by-step explanation:

√50x^{4}

The <em>square root of x^4 is x²</em>.

The <em>square root of 50 is 5√2</em>.

Multiplying those two gives us 5x²√2

6 0
3 years ago
Fifteen years later, a man will be two times as old as he was 15 years ago. How old is he now?
Inga [223]

Answer:

Let the present age of the man be x years.

Age of the man 15 years ago =(x−15) years and

Age of the man 15 years later =(x+15) years

According to the given condition, we have

(x+15)=2(x−15)

⇒x+15=2x−30

⇒x−2x=−30−15

⇒−x=−45 or x=45 years

Hence, the present age of the man is 45 years.

Step-by-step explanation:

Hope it helps you..

Your welcome in advance..

(◍•ᴗ•◍)

6 0
2 years ago
Read 2 more answers
Help me please due in 20 minutes
sashaice [31]

Answer:

D

Step-by-step explanation:

That is where the line meets.

6 0
2 years ago
The mass of mercury is 330,200,000,000,000,000,000,000 kilograms. how can this number be written in scientific notation?
rusak2 [61]
= 3.302 × 1022
(scientific notation)

= 3.302e22
(scientific e notation)

= 33.02 × 1021
(engineering notation)
(sextillion; prefix zetta- (Z))

= 33020000000000000000000
<span>(real number)
</span>
7 0
3 years ago
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