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3 years ago

What is the greatest common factor of 28, 48, and 64?

2 answers:

4 0

First, prime factor all of the numbers. Then, collect the factors which appear in all three lists:

28 = 2 x 2 x 7
48 = 2 x 2 x 2 x 2 x 3
64 = 2 x 2 x 2 x 2 x 2 x 2

The only factor which appears in all lists is 2. It appears twice in the first number, so the greatest common factor in the group is 2 x 2 = 4
Please click 'thanks' for the answer :-)

zalisa [80]3 years ago

3 0

The common factors are 1,2 and 4.
So the GCF is 4.

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The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible

3241004551 [841]

Answer:

Option 2 - 3.2 inches.

Step-by-step explanation:

Given : The lengths of two sides of a right triangle are 5 inches and 8 inches.

To find : What is the difference between the two possible lengths of the third side of the triangle?

Solution :

According to question, it is a right angle triangle

Applying Pythagoras theorem,

$H^2=P^2+B^2$

Where, H is the hypotenuse the longer side of the triangle

P is the perpendicular

B is the base

Assume that H=8 inches and B = 5 inches

Substitute the value in the formula,

$8^2=P^2+5^2$

$64=P^2+25$

$P^2=64-25$

$P^2=39$

$P=\sqrt{39}$

$P=6.24$

Assume that P=8 inches and B = 5 inches

Substitute the value in the formula,

$H^2=8^2+5^2$

$H^2=64+25$

$H^2=89$

$H=\sqrt{89}$

$H=9.43$

Therefore, The possible length of the third side of the triangle is

$L=H-P$

$L=9.43-6.24$

$L=3.19$

Therefore, The difference between the two possible lengths of the third side of the triangle is 3.2 inches.

So, Option 2 is correct.

3 0

3 years ago

Read 2 more answers

The cost of renting a moving van for a 26 mile trip is $62.50. the cost of renting the same van for a 38 mile trip is $65.50 The

Darya [45]

The difference between the 26 mile trip and 38 mile trip is 12 miles.
The difference in the price is $3.00 ($65.50 - $62.50)

So those 12 miles cost $3.00 $3.00÷12 = $.25 per mile

We can use either given trip to solve. I will use the 38 mile trip.
The difference between 38 miles and 54 miles is 16 miles. At $.25 a mile those 16 miles will add $4.00 to the price. ($.25 x 16 = $4.00)
Since the 38 mile trip costs $65.50 we add $4.00 and get $69.50 for a 54 mile trip.

5 0

3 years ago

5) Jeff has a set monthly housing budget of $812. If Jeff is in an 18% tax bracket and his

Greeley [361]

Answer:

2.406%

Step-by-step explanation:

28600*18%=5148

$5148-28600=$23,452

$23452/12 months=$1954.33 a month take home

1954.33/812=2.406%

6 0

3 years ago

Please help practice Questions!<br> will give thanks and star ratings<br> (Question is attached)

Luda [366]

Point c because its the top and they rotated it to it's side

7 0

3 years ago

Read 2 more answers

In a triangle ABC, AB:BC is 5:9. On the triangle AB=15 and BC=5x+2. Write a proportion and solve for the variable

Ksenya-84 [330]

If AB is 15, then BC is 15*9/5=27. Therefore, we can write the equation 5x+2=27.

We subtract by 2 to find that 5x=25, and divide by 5 to see that x=5.

4 0

3 years ago