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PSYCHO15rus [73]
2 years ago
15

Pyramid A is a square pyramid with a base side length of 14 inches and a height of 6 inches. Pyramid B has a volume of 3,136 cub

ic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.
Mathematics
1 answer:
TiliK225 [7]2 years ago
4 0

Answer:

800%

Step-by-step explanation:

The pyramid has a volume equal to (14)^2*(6/3)=392. The pyramid B is (3136)/(392)=8 times bigger than pyramid A. As a percentage, it's 800%

You might be interested in
In parallelogram DEFG, DH = x + 1, HF = 3y, G H = 3 x − 4 , and HE = 5y + 1. Find the values of x and y. The diagram is not draw
Nana76 [90]

Answer:

see explanation

Step-by-step explanation:

Using the property of parallelograms

• The diagonals bisect each other, hence

DH = HF and GH = HE

x + 1 = 3y and 3x - 4 = 5y + 1 ⇒ 3x = 5y + 5

Solving the 2 equations simultaneously

x + 1 = 3y → (1)

3x = 5y + 5 → (2)

rearrange (1) expressing x in terms of y

x = 3y - 1 → (3)

substitute x = 3y - 1 in (2)

3(3y - 1) = 5y + 5

9y - 3 = 5y + 5 ( subtract 5y from both sides )

4y - 3 = 5 ( add 3 to both sides )

4y = 8 ( divide both sides by 4 )

y = 2

substitute y = 2 into (3)

x = (3 × 2) - 1 = 6 - 1 = 5

Hence x = 5, y = 2



3 0
3 years ago
Multiply.<br><br> Answer as a fraction. Do not include spaces in your answer.
Vika [28.1K]

Answer:

I got 0.475 hope it helps!

ohh sorry didn't see the answer as a fraction part.

I tried it again and got 19/40 I hope you get it right!

5 0
3 years ago
Emma started biking to the coffee shop traveling 15 mph, after some time the bike got a flat so Emma walked the rest of the way,
serious [3.7K]

Answer:

75\text{ miles, }28\text{ miles}

Step-by-step explanation:

GIVEN: Emma started biking to the coffee shop traveling 15 \text{mph}, after some time the bike got a flat so Emma walked the rest of the way, traveling 7 \text{mph} If the total trip to the coffee shop took 9 \text{hours} and it was 103 \text{miles} away.

TO FIND: how long did Emma travel at each speed.

SOLUTION:

Let the distance traveled by Emma through bike is \text{x}

Total time taken when traveled by bike =\frac{\text{x}}{15}

Distance traveled through feet =103-\text{x}

Total time taken when traveled by feet =\frac{103-\text{x}}{7}

Now,

Total time taken =9\text{hours}

\frac{\text{x}}{15}+\frac{103-\text{x}}{7}=9

8\text{x}=600

\text{x}=75

Distance traveled through feet =103-75=28\text{miles}

Hence distance traveled using bike is 75\text{miles} and by feet is 28\text{miles}

4 0
2 years ago
Please help!
Lubov Fominskaja [6]

Answer:

The answer is d (-21/2 , 2)

Step-by-step explanation:

That's where the lines meet up

8 0
3 years ago
What does the expression x ≤ 4 mean in word form?
fiasKO [112]

Answer:

x is less than or equal to 4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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