which term can be added to the list so that the greatest common factor of the three terms is 12h3? 36h3, 12h6,

Answers

Answer 1
Answer: Any multiple of 12h^3.

Remember that the greatest common factor is the common terms raised to the lowest power. Then you can include any terms that includes 12h^3

For example, 12h^3, or 24h^12, 60h^9, etc. 

Hope This Helps!

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Simply the equation and show your work

Factors of -36 that add to 13

Answers

To solve this problem follow the steps below.

Step 1:List out all of the factors for -36

-36: 1,2,3,4,6,9,12,18,36
       -1,-2,-3,-4,-6,-9,-12,-18,-36

Step 2: Start going through a process of guessing and checking (basically take any two factors and add them together to see if they equal 13)

1 plus 12=13
9 plus 4=13

Step 3:Check your calculations and make sure you didn't make any errors

13-12=1 and 13-1=12   
13-9=4    and  13-4=9

Answer: 1 and 12
               4 and 9

I hope this helps and if any false information was given I apologize in advance.

Evaluate for b:
-5/6b = 30

Answers

Answer:

b = -36

Step-by-step explanation:

In other words, solve this given equation -5/6b = 30 for b.

For clarity we rewrite this as (-5/6)b = 30.

To isolate b, we multiply both sides of the above equation by (-6/5):

(-6/5)(-5/6)b = (30)(-6/5), or

b = -36

The length of a rectangle is 5 centimeters less than 2 times the width.a. Write a polynomial expression that represents ( 2 points )
the area of the rectangle.Simplify the expression.

Answers

Given:

The length of a rectangle is 5 centimeters less than 2 times the width.

To find:

The polynomial expression that represents the area of the rectangle, then simplify the expression.

Solution:

Let x be the width of the rectangle.

The length of a rectangle is 5 centimeters less than 2 times the width.

2 times the width = 2x

5 centimeters less than 2 times the width = 2x-5

Length of the rectangle = 2x-5

We know that, the area of a rectangle is:

A=length * width

A=(2x-5)* x

A=2x^2-5x

Therefore, the required polynomial expression is A=(2x-5)* x and its simplified form is A=2x^2-5x.

Use the distributive property to remove the parentheses.
4(x+8)​

Answers

Answer: 18+6w

Step-by-step explanation:

Answer:

4(x+8)

4x+32

4 x X = 4x     4 x 8 = 32      

Step-by-step explanation:

Find b, given that a = 18.2, B = 62°, and C = 48°. Round answers to the nearest whole number. Do not use a decimal point or extra spaces in the answer or it will be marked incorrect.

Answers

Answer:

17

Step-by-step explanation:

We have been given that in triangle ABC, measure of angle B is 62 degrees and measure of angle C is 48 degrees. The length of side opposite to angle a is 18.2. We are asked to find length of side b.

We will use law of sines to solve for side b.

\frac{a}{\text{sin}(A)}=\frac{b}{\text{sin}(B)}=\frac{c}{\text{sin}(C)}

m\angle A+m\angle B+m\angle C=180^(\circ)\n\nm\angle A+62^(\circ)+48^(\circ)=180^(\circ)

m\angle A+110^(\circ)=180^(\circ)

m\angle A+110^(\circ)-110^(\circ)=180^(\circ)-110^(\circ)

m\angle A=70^(\circ)

Upon substituting our given values, we will get:

\frac{18.2}{\text{sin}(70^(\circ))}=\frac{b}{\text{sin}(62^(\circ))}

\frac{18.2}{\text{sin}(70^(\circ))}*\text{sin}(62^(\circ))=\frac{b}{\text{sin}(62^(\circ))}*\text{sin}(62^(\circ))

\frac{18.2}{\text{sin}(70^(\circ))}*\text{sin}(62^(\circ))=b

b=\frac{18.2}{\text{sin}(70^(\circ))}*\text{sin}(62^(\circ))

b=(18.2)/(0.939692620786)*0.882947592859

b=19.1551999*0.882947592859

b=16.9130376

b\approx 17

Therefore, the length of side b is 17 units.

Henry can ride his bike 23 miles in 2 hours. The store is six miles away. About hoe long should it take Henry to ride his bike to the store?

Answers

It would take Henry about 0.52 hours.
Or 13/25 hours if you needed it in fraction form