MATHEMATICS HIGH SCHOOL

Make a the subject of a^2+b^2=c^2

Answers

Answer 1

Answer:

Answer:

a = √(c² - b²)

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define

a² + b² = c²

Step 2: Rearrange

Subtract b² on both sides: a² = c² - b²
Square root both sides: a = √(c² - b²)

And we have our final answer!

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Simplifying rational expressions1. (c+8)(c-8)/(c-8)(c+3)
2. n^2+4n-12/n^2+2n-8
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Answers

1. $((c + 8)(c - 8))/((c - 8)(c + 3))_,_$
   $(c + 8)/(c + 3)_,_$

2. $(n^(2) + 4n - 12)/(n^(2) + 2n - 8)_,_$
   $(n^(2) + 6n - 2n - 12)/(n^(2) + 4n - 2n - 8)_,_$
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   $(n(n + 6) - 2(n + 6))/(n(n + 4) - 2(n + 4))_,_$
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3. $(42x^(2)y^(3))/(28x^(3)y)_,_$
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4. $(m^(2) - 3m - 10)/(m - 5)_,_$
   $(m^(2) - 5m + 2m - 10)/(m - 5)_,_$
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Jack mows the lawn in 3 hours. Jane mows the same yard in 4 hours. If they worked together how much time would it take them to mow the yard?

Answers

Jack mows 1/3 of the lawn each hour.
Jane mows 1/4 of the lawn each hour.

Working together, they mow (1/3 + 1/4) of the lawn each hour.

In order to add the fractions, you need a common denominator.
12 will work:

(1/3 lawn/hour + 1/4 lawn/hour) = (4/12 + 3/12) = 7/12 lawn/hour.

This rate of work produces 12/7 hour/lawn.

12/7 hour = 1 hour 42 minutes 51.4 seconds

$(1)/(3)+(1)/(4)=(1)/(x)\n (4)/(12)+(3)/(12)=(1)/(x)\n (7)/(12)=(1)/(x)\n 7x=12\n x=(12)/(7)\hbox { h}=1\hbox{ h }42\hbox{ min } 51.43 \hbox{ s}$

Raphael paid $167 for a camera during a 75% off sale. what was the cameras regular price?

Answers

As the camera was at 25% of the original price, this means you've got to multiply this number to by 4 to get the original price.
167*4= 668
Therefore, the camera's regular price is $668
Hope this helps :)

The original price of the camera was $292.25. I changed 75 percent to a decimal which became 0.75. Then I added $167 plus 0.75 which equals 292.25. When the dollar sign was added, $292.25 was the camera's original price.

Hope I helped! :)

A segment of a circle has 120 degree arc and a cord of 8 square root 3 in. Find the area of the segment

Answers

Answer:

ok then

Step-by-step explanation:

Segementhaveangleof120degree

sorryissseaaghenhiaate

120 is the right answer

Janna jumped 156 inches in the long jum competition how many feet did Janna jump

Answers

1 foot=12 inches
Divide 12 from 156.
156÷12=13

Janna jumped 13 feet in the long jump competition, which is actually really good!

Solve for x.

−10<−2x+4≤8

Answers

$-10 < -2x+4\leq8\ \ \ \ |-4\n\n-14 < -2x\leq4\ \ \ \ |\text{change the signs}\n\n14 > 2x\geq-4\ \ \ \ |:2\n\n\boxed{7 > x\geq-2}\to\boxed{-2\leq x < 7}$

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A company’s sales of garden tractors increased about 106% from 2007 to 2008. Th e number of tractors sold in 2007 was 347. How many tractors were sold in 2008?