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babymother [125]
2 years ago
13

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:
mash [69]2 years ago
7 0

Answer:

12.5%    Step 1  to find volume of Pyramid A  Step 2 is find percentage through division then multiplication of 100  

Step-by-step explanation:   Length of one side of the base (a) = 14 in

Height of square pyramid (h) = 6 in

Using the square pyramid volume formula,

Volume = 1/3 x a^2 x h

Volume = 1/3 x 14^2 x 6

Volume = 392 in3

The volume Pyramid A is 392 cubic inches.

Pyramid A has a volume = 392 cubic units     Pyramid B has a volume of 3,136 cubic inches.    to find percentage 392 of 3136 we divide then * 100   To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator...  = (392/3136 ) x 100% = 12.5%   Proof is  (12.5 * 3136 ) / 100 = 392      

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xxMikexx [17]

Simplifying

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Reorder the terms:

3 + 2c = 3c + -4

Reorder the terms:

3 + 2c = -4 + 3c

Solving

3 + 2c = -4 + 3c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-3c' to each side of the equation.

3 + 2c + -3c = -4 + 3c + -3c

Combine like terms: 2c + -3c = -1c

3 + -1c = -4 + 3c + -3c

Combine like terms: 3c + -3c = 0

3 + -1c = -4 + 0

3 + -1c = -4

Add '-3' to each side of the equation.

3 + -3 + -1c = -4 + -3

Combine like terms: 3 + -3 = 0

0 + -1c = -4 + -3

-1c = -4 + -3

Combine like terms: -4 + -3 = -7

-1c = -7

Divide each side by '-1'.

c = 7

Simplifying

c = 7

3 0
3 years ago
A certain composite number has 4 factors and the sum of them is 96. Find the number(hint the number is divisible by 7). Just don
ankoles [38]

Answer:

\huge\boxed{77}

Step-by-step explanation:

The number can be divisible by 7.

The multiples of 7 are 7,14,21,28,35,42,49,56,63,70,77,84 and so on

<u>Finding the factors for all of the multiples of 7:</u>

7 => 1,7   [Not 4 factors]

14 => 1,2,7,14    [4 factors but Sum = 24]

21 => 1,3,7,21   [4 factors but Sum = 32]

28 => 1, 2, 4, 7, 14, 28    [Not 4]

35 => 1,5,7,35   [4 factors but Sum = 48]

42 => 1, 2, 3, 6, 7, 14, 21, 42     [Not 4]

49 => 1,7,49   [Not 4]

56 => 1, 2, 4, 7, 8, 14, 28, 56       [Not 4]

63 => 1, 3, 7, 9, 21, 63     [Not 4]

70 => 1, 2, 5, 7, 10, 14, 35, 70    [Not 4]

77 => 1, 7, 11, 77     [4 factors and Sum = 96]

7 0
3 years ago
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valkas [14]

Answer:

4 days in total

Step-by-step explanation:

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3 years ago
A parallelogram has a base of 4.5 cm and an area of 9.495 cm². Tania wrote the equation 4.5x = 9.495 to represent this situation
Artist 52 [7]

Answer:

The height of the parallelogram is 2.11 cm.

Step-by-step explanation:

Area of the parallelogram is equal to multiplication of base and height.

Given:

Parallelogram has base of 4.5 cm.

Are of the parallelogram is 9.495 cm².

Equation is 4.5x=9.495

Calculation:

(a)

Are of the parallelogram is the product of base length and height of the parallelogram.

Area of the parallelogram is expressed as follow:

A=lh          

Substitute 9.495 cm² for A and 4.5 cm for l in above equation as follows:

9.495=4.5h             …… (1)

Now relate the equation (1) and given equation. So, here x is nothing but the height of the parallelogram.

(b)

From equation (1), height of the parallelogram is calculated as follows:

9.495=4.5h

h=\frac{9.495}{4.5}

h=2.11 cm

Thus, the height of the parallelogram is 2.11 cm.

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