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leonid [27]
3 years ago
7

The sum of 6 consecutive even numbers is 126. What is the fourth number in this sequence?

Mathematics
1 answer:
Verizon [17]3 years ago
3 0

9514 1404 393

Answer:

  22

Step-by-step explanation:

The average of the 6 even integers is the odd integer halfway between the first three and the last three. That average value is 126/6 = 21, so the 4th integer is 21+1 = 22.

_____

All 6 are {16, 18, 20, 22, 24, 26}.

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a
Elodia [21]

We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.  

We know that height of sphere is equal to its radius. This means that r=h.

\text{Volume of sphere}=\frac{4}{3}\pi r^3  

\text{Volume of cylinder}=\pi r^2 h

Using r=h, we will get:

\text{Volume of cylinder}=\pi r^2\cdot r

\text{Volume of cylinder}=\pi r^3

Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is \frac{4}{3} times volume of cylinder.

\pi r^3=21

\frac{4}{3}\pi r^3=\frac{4}{3}\cdot 21

\frac{4}{3}\pi r^3=4\cdot 7

\frac{4}{3}\pi r^3=28

Therefore, the volume of the sphere would be 28 cubic meters.

4 0
3 years ago
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Lydia wants to find the height of a flagpole. She measures the height
Solnce55 [7]

Answer:

10 ft.

Step-by-step explanation:

8.8 ÷ 4= 2.2

22÷2.2= 10

6 0
3 years ago
What is the product? (2y + 3) (3y^2 +4y + 5)
Furkat [3]

Answer:

6y³ + 17y² + 22y + 15

Step-by-step explanation:

(2y + 3)(3y² + 4y + 5)

6y³ + 8y² + 10y + 9y² + 12y + 15

6y³ + 8y² + 9y² + 10y + 12y + 15

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8 0
3 years ago
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Tems11 [23]

Answer: (1.) 1/3

(2.)2/3

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Step-by-step explanation:

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(2.) 24 div. problems and 36 totals so 24/36 =2/3

(3.) 24 div and 12 mult =24/12 or 2/1

(4.) 12 mult and 24div =12/24=1/2

6 0
3 years ago
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What is the surface area of the square pyramid?
Pavel [41]
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10*10 = 100 cm^2 for the base

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3 years ago
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