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Olegator [25]
2 years ago
15

What is the prime factorization of 144? Be sure to show your strategy.

Mathematics
1 answer:
erastovalidia [21]2 years ago
8 0

Answer:

So, the prime factors are written as 2 x 2 x 2 x 2 × 3 x 3 or 24 x 32, where 2 and 3 are the prime numbers. It is possible to find the exact number of factors of a number 144 with the help of prime factorisation. The prime factor of the 144 is 24 x 32. The exponents in the prime factorisation are 4 and 2.

Step-by-step explanation:

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6) There are many cylinders with a height of 4 inches.
diamong [38]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

height of cylinder h = 4 inches

Given the table

Radius          Volume

1                     ___

2                    ___

3                    ___

Determining the Volume of the cylinder when r = 1 inch and h = 4 inches

Given

h = 4 inches

r = 1 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(1)²×(4)

V = 3.14 × 1 × 4

V = 12.56

V ≈ 13  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 1 inch will be:

V ≈ 13 cubic inches (nearest cubic inch)

Determining the Volume of the cylinder when r = 2 inches and h = 4 inches

Given

h = 4 inches

r = 2 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(2)²×(4)

V = 3.14 × 4 × 4

V = 50.24

V ≈ 50  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 2 inches will be:

V ≈ 50 cubic inches (nearest cubic inch)

Determining the Volume of the cylinder when r = 3 inches and h = 4 inches

Given

h = 4 inches

r = 3 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(3)²×(4)

V = 3.14 × 9 × 4

V = 113.04

V ≈ 113  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 3 inches will be:

V ≈ 113 cubic inches (nearest cubic inch)

Therefore, we complete the table conclude such as:

Radius          Volume

1                     13

2                    50

3                    113

5 0
2 years ago
Document shows question.
yulyashka [42]

Answer:

50

Step-by-step explanation:

4 0
2 years ago
You go to see family in another city. So far you have gone 120 miles. The total trip is 360 miles. What fraction of the total tr
Elena L [17]

Answer:

1/3

Step-by-step explanation:

120/360 = 12/36 = 2/6 = 1/3

6 0
2 years ago
PLEASE HELP ME<br><br> Name the axis on which time is plotted. (X axis or y axis)
scoundrel [369]

Answer:

x

Step-by-step explanation:

Scientists like to say that the “independent” variable goes on the x-axis (the bottom, horizontal one) and the “dependent” variable goes on the y-axis (the left side, vertical one).

6 0
2 years ago
Read 2 more answers
PLZZ ANSWER THIS AS SOON AS POSSIBLE!!!!
alexandr402 [8]

Answer:

y = -9.3

if they are complementary it is 45 degrees

if they are supplementary it is 90 degrees

Step-by-step explanation:

-12.7 = y -3.4

-12.7 + 3.4 = y -3.4 + 3.4

-9.3 = y

complementary angles equal to 90 degrees

supplementary angles equal to 180 degrees

vertical angles have same degrees

so 90/2= 45

180/2 =90

3 0
2 years ago
Read 2 more answers
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