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LuckyWell [14K]
2 years ago
5

Find the volume of a rectangular pyramid, with a height of 12 cm, length of 8 cm, and a width of 6cm.

Mathematics
1 answer:
irinina [24]2 years ago
8 0

Answer:

192 cm^3

Step-by-step explanation:

Volume equals Area of the base times the height divided by three.

V = <u>length * width * height</u>

                      3

V = <u>8 * 6 * 12</u>   =   192 cm^3

           3

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A meteorologist reports that the ration of snowfall in January to total snowfall during the average winter is 2 to 5. If 34 inch
Zepler [3.9K]

Answer:

13.6 inches.

Step-by-step explanation:

First do 2/5 = x/34, then multiply 34 by 2 and you get 68, then 68 divided by 5 is 13.6!

Hope this helped!

4 0
3 years ago
Simplify: -(16 - 5x) 5×-16/ 5× + 16 / -5×-16/ -5 + 16​
bulgar [2K]

Answer:

(16 (1280 x - 4071))/25

Step-by-step explanation:

Simplify the following:

16 - (-16 (-16)×5×16 (16 - 5 x))/(5 (-5) (-5))

Hint: | Express 16/(-5)×(-16)/(-5) as a single fraction.

16/(-5)×(-16)/(-5) = (16 (-16))/(-5 (-5)):

-(-16×5×(-16×16)/(-5 (-5)) (16 - 5 x))/5 + 16

Hint: | Express 5×(-16)/5×(16 (-16))/(-5 (-5)) as a single fraction.

5×(-16)/5×(16 (-16))/(-5 (-5)) = (16 (-16) 5 (-16))/(-5 (-5) 5):

16 - (-16 (-16) 16×5)/(-5 (-5) 5) (16 - 5 x)

Hint: | Multiply 16 and -16 together.

16 (-16) = -256:

-(-16-256×5 (16 - 5 x))/(-5 (-5) 5) + 16

Hint: | Multiply -256 and 5 together.

-256×5 = -1280:

-(-16-1280 (16 - 5 x))/(-5 (-5) 5) + 16

Hint: | Multiply -1280 and -16 together.

-1280 (-16) = 20480:

16 - (20480 (16 - 5 x))/(-5 (-5) 5)

Hint: | In 20480/(-5 (-5) 5), divide 20480 in the numerator by 5 in the denominator.

5 | | 4 | 0 | 9 | 6

| 2 | 0 | 4 | 8 | 0

- | 2 | 0 | | |  

| | | 4 | |  

| | - | 0 | |  

| | | 4 | 8 |  

| | - | 4 | 5 |  

| | | | 3 | 0

| | | - | 3 | 0

| | | | | 0:

16 - (4096 (16 - 5 x))/(-5 (-5))

Hint: | Multiply -5 and -5 together.

-5 (-5) = 25:

16 - (4096 (16 - 5 x))/25

Hint: | Put the fractions in 16 - ((16 - 5 x)×4096)/25 over a common denominator.

Put each term in 16 - ((16 - 5 x)×4096)/25 over the common denominator 25: 16 - ((16 - 5 x)×4096)/25 = 400/25 - (4096 (16 - 5 x))/25:

400/25 - (4096 (16 - 5 x))/25

Hint: | Combine 400/25 - (4096 (16 - 5 x))/25 into a single fraction.

400/25 - (4096 (16 - 5 x))/25 = (400 - 4096 (16 - 5 x))/25:

(400 - 4096 (16 - 5 x))/25

Hint: | Distribute -4096 over 16 - 5 x.

-4096 (16 - 5 x) = 20480 x - 65536:

(20480 x - 65536 + 400)/25

Hint: | Group like terms in 20480 x - 65536 + 400.

Grouping like terms, 20480 x - 65536 + 400 = 20480 x + (400 - 65536):

(20480 x + (400 - 65536))/25

Hint: | Evaluate 400 - 65536.

400 - 65536 = -65136:

(20480 x + -65136)/25

Hint: | Factor out the greatest common divisor of the coefficients of 20480 x - 65136.

Factor 16 out of 20480 x - 65136:

Answer: (16 (1280 x - 4071))/25

3 0
3 years ago
A bag of marbles has 3 red, 4 blue, and 5 white marbles in it. What is the probability of reaching in and selecting a blue marbl
goblinko [34]

Answer:

P(B)=\frac{1}{3}

Step-by-step explanation:

The number of red marbles in the bag is; n(R)=3.

The number of blue marbles in the bag is; n(B)=4.

The number of white marbles in the bag is; n(W)=5.

The total number of marbles in the bag is: n(S)=3+4+5=12.

The probability of selecting a blue marble is P(B)=\frac{n(B)}{n(S)}

We substitute the given information to obtain:

P(B)=\frac{4}{12}

We simplify to obtain:

P(B)=\frac{1}{3}

4 0
2 years ago
What Is the answer to 7ft +4ft + 10ft​
tangare [24]

Answer:

it is 21ft

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve by elimination 2y=-24-8x 6x+18=5y
nignag [31]
I’m pretty sure this is the answer,

8 0
3 years ago
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