MATHEMATICS HIGH SCHOOL

The product of (a + b)(a − b) is a perfect square trinomial.
A. Sometimes b. Always c. Never

Answers

Answer 1
Answer: never
perfect squre trinomial is in form
(a+b)(a+b) or (a-b)(a-b)
that is not equal to (a+b)(a-b)

never
Answer 2
Answer:

Answer:

C. Never

Step-by-step explanation:

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What’s is the product of 1/4 times (5.6)

Answers

Answer:

1.4

Step-by-step explanation:

1/4 x 5.6 = 1.4

or

14/10 = 1 4/10 = 1 2/5

Find the rate of change and the initial value for both group n individual session

Answers

for\ the\ group:\nthe\ rate\ of\ change=29.50\ [\$]\n\n39.50+29.50=69.00\n69.00+29.50=98.50\n98.50+29.50=128.00\n128.00+29,50=157.50\n\nthe\ inital\ value=39.50-29.50=10.00\ [\$]\n---------------------\nfor\ the\ individual:\nthe\ rate\ of\ change=19.50\ [\$] \n\n29.50+19.50=49.00\n49.00+19.50=68.50\n68.50+19.50=88.00\n88.00+19,50=107.50\n\nthe\ inital\ value=29.50-19.50=10.00\ [\$]
All you have to do to solve this is subtract the first value in a row from the second value in that row, for example $69 - $39.5. That's the rate of change. If you want to check your work, you could subtract the second from the third or the third from the fourth etc. to see if they match. To find the initial value, just subtract the rate of change from the first-hour value.

What is a fraction of a circle of 120 degree

Answers

Since the fraction of 120 at a circle is 120/360 which is 1/3

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.Find TV.

Write your answer as an integer or as a decimal rounded to the nearest tenth.

TV =

Answers

Answer:

The answer to your question is TV = 7.8

Step-by-step explanation:

Data

hypotenuse = ?

Opposite side = 4

angle = 31°

To solve this problem use trigonometric functions. The trigonometric function that relates the Opposite side and the hypotenuse is sine.

             sin \alpha = (Opposite site)/(hypotenuse)

Solve for hypotenuse

            hypotenuse = (Opposite side)/(sin \alpha)

Simplification

            hypotenuse = (4)/(sin 31)

            hypotenuse = (4)/(0.52)

Result

            hypotenuse = 7.76

A pool measuring 8 meters by 26 meters is surrounded by a path of uniform​ width, as shown in the figure. If the area of the pool and the path combined is 1008 square​ meters, what is the width of the​ path?

Answers

Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.

Combined Area = (2x + 26)*(2x + 8) = 1008

2x*(2x + 8) + 26*(2x + 8 ) = 1008

4x² + 16x + 52x + 208 = 1008

4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0.          Divide through by 4.
x²  + 17x - 200 = 0 . This is a quadratic equation.

Multiply first and last coefficients:  1*-200 = -200

We look for two numbers that multiply to give -200, and add to give +17

Those two numbers are 25 and -8.

Check:   25*-8 = -200         25 + -8 = 17

We replace the middle term of +17x in the quadratic expression with 25x -8x


 x² +17x - 200 = 0     

x² + 25x - 8x - 200 = 0     

x(x + 25) - 8(x + 25) = 0

(x+25)(x -8) = 0

x + 25 = 0    or   x - 8 = 0

x = 0 -25              x = 0 + 8

x = -25                    x = 8

The width of the path can not be negative.

The only valid solution is x = 8.

The width of the path is 8 meters.

16 men are employed to do a work in 20 days. at the end of 12 days the work is only half done. how many additional number of men should be employed to complete the work in the stipulated time?

Answers

16 men in 12 days can do 0.5work
1 man 1 day can do 0.5/(16x12) of a work

8days to do 0.5 of a work
1 man 8 days can do 8x0.5/(16x12) = 0.5x(1/24) of a work
... if you notice we need 24 men

... more detail
in8days, 0.5x(1/24) of a work need 1 man
in8days, 0.5 of a work need 0.5/(0.5x(1/24)) = 24 men

point is to find 'amount of work done per man per unit of time' then work out from that.
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