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kotegsom [21]
2 years ago
5

Use the pythagorean theorem to find the missing side. Round your answer to the nearest tenth

Mathematics
1 answer:
Monica [59]2 years ago
5 0

Answer:

x=14.02

Step-by-step explanation:

Use b=\sqrt{c^2-a^2} to solve for the missing side in the triangle. You will get a rounded answer of 8.49. Then you multiply that by 2 and subtract that value from 31. Then that will be your answer.

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What are the roots of the equation?<br><br> x^2(6x−11)(7x−8)=0
trasher [3.6K]

multiply all the factors in x^2

 to get the roots which are 0, 11/6 and 8/7


3 0
3 years ago
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Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible. Which will most likely hel
Nuetrik [128]

Answer:

B)making sure she has a positive credit history

Step-by-step explanation:

Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.

B) making sure she has a positive credit history - will most likely help her get the lowest interest rate.

Getting low interest rates does not depend on the way you talk or if you have a driver licence.

It depends on your previous credit history and credit scores. When you have good scores, this means you have always paid your debts on time and this makes sure that you will do the same in future.

So, you get low interest rates based on good credit history.

8 0
3 years ago
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What is the difference between a rate and a unit rate? Show an example
QveST [7]

Answer:

Rate: In mathematics, a rate is the ratio between two related quantities in different units. If the denominator of the ratio is expressed as a single unit of one of these quantities. "The most common type of rate is "per unit of time."

Unit Rate: A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Step-by-step explanation:

8 0
3 years ago
What is the sum of the first 12 terms of the geometric series below 1/2+2+8+32+
Georgia [21]

∴\frac{1}{2} +2+8+32.......12^{th}term =2796202.5

Step-by-step explanation:

First term(a) = \frac{1}{2}   common ratio(r)     =\frac{2}{\frac{1}{2} }   =4

n= 12

S_{n}=\frac{a(r^n-1)}{(r-1)}

S_{12}=\frac{\frac{1}{2}(4^{12}-1) }{4-1} =2796202.5

∴\frac{1}{2} +2+8+32.......12^{th}term =2796202.5

5 0
3 years ago
Better Products, Inc., manufactures three products on two machines. In a typical week, 40 hours are available on each machine. T
Kaylis [27]

Answer:

z (max)  =  1250 $

x₁  = 25    x₂  =  0   x₃  =  25

Step-by-step explanation:

                                Profit $    mach. 1      mach. 2

Product 1     ( x₁ )       30             0.5              1

Product 2    ( x₂ )       50             2                  1

Product 3    ( x₃ )       20             0.75             0.5

Machinne 1 require  2 operators

Machine   2 require  1  operator

Amaximum of  100 hours of labor available

Then Objective Function:

z  =  30*x₁  +  50*x₂  +  20*x₃      to maximize

Constraints:

1.-Machine 1 hours available  40

In machine 1    L-H  we will need

0.5*x₁  +  2*x₂  + 0.75*x₃  ≤  40

2.-Machine 2   hours available  40

1*x₁  +  1*x₂   + 0.5*x₃   ≤  40

3.-Labor-hours available   100

Machine 1     2*( 0.5*x₁ +  2*x₂  +  0.75*x₃ )

Machine  2       x₁   +   x₂   +  0.5*x₃  

Total labor-hours   :  

2*x₁  +  5*x₂  +  2*x₃  ≤  100

4.- Production requirement:

x₁  ≤  0.5 *( x₁ +  x₂  +  x₃ )     or   0.5*x₁  -  0.5*x₂  -  0.5*x₃  ≤ 0

5.-Production requirement:

x₃  ≥  0,2 * ( x₁  +  x₂   +  x₃ )  or    -0.2*x₁  - 0.2*x₂ + 0.8*x₃   ≥  0

General constraints:

x₁  ≥   0       x₂    ≥   0       x₃     ≥   0           all integers

The model is:

z  =  30*x₁  +  50*x₂  +  20*x₃      to maximize

Subject to:

0.5*x₁  +  2*x₂  + 0.75*x₃  ≤  40

1*x₁  +  1*x₂   + 0.5*x₃       ≤  40

2*x₁  +  5*x₂  +  2*x₃        ≤  100

0.5*x₁  -  0.5*x₂  -  0.5*x₃  ≤ 0

-0.2*x₁  - 0.2*x₂ + 0.8*x₃   ≥  0

x₁  ≥   0       x₂    ≥   0       x₃     ≥   0           all integers

After 6 iterations with the help of the on-line solver AtomZmaths we find

z (max)  =  1250 $

x₁  = 25    x₂  =  0   x₃  =  25

6 0
3 years ago
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