What are the comman factors of 4 and 8

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

4 0

First list out the factors of 4 and 8:

4: 1, 2, 4
8: 1, 2, 4, 8

The common factors of 4 and 8 are 1, 2, and 4

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Apply the appropriate mathematical operation to solve this fulcrum problem.

ale4655 [162]

<h2>Hello!</h2>

The answer is:

The second distance ( $distance_{2}$ ) is equal to 7.5 feet.

Since we are given two forces acting at distance, torque will be created. We are given two forces and one distance, so, to calculate the other distance required to balance the system (solve this fulcrum problem), we need to write the following equation:

$Torque_{1}=Torque_{2}$

Where,

$Torque=F*Distance$

We are given,

$Force_{1}=Weight_{1}=150lb\\Force_{2}=Weight_{2}=30lb\\distance_{1}=15ft\\$

So, substituting and calculating, we have:

$Torque_{1}=Torque_{2}$

$Weight_{1}*distance_{1}=Weight_{2}*distance_{2}$

$150lb*15ft=300lb*distance_{2}$

$distance_{2}=\frac{150lb*15ft}{300lb}=7.5ft$

Hence, the second distance ( $distance_{2}$ ) is equal to 7.5 feet.

It's a logical solution since the second force is twice the first force and it means that the second distance must be equal to half the first distance in order to maintain the equilibrium condition.

Have a nice day!

8 0

3 years ago

Please help me find all the missing angles

diamong [38]

Answer:

Look at image I attached below.

Step-by-step explanation:

Important points to memorize when finding missing angles like these:

Two angles directly <u>across</u> from each other, <u>not next to</u>, are equal.
<u>All</u> angles that are on one side of a straight line add up to 180°, because a straight line has an angle measure of 180°.
A full spin-around equals 360°.
<u>All</u> angles in <u>any triangle</u> add up to 180°.

When you know all these important rules, the rest is just a matter of adding and subtracting.