Perform the indicated operation (x-y)^3/y^3+z^3 + x^2-2xy+y^2/y^2-yz+z^2

Answers

Answer 1

Answer:

See the attached figure

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What is 3/5 times 20

Answers

First make 20 into a fraction, then solve; 3/5 · 20/1. 60/5 = 12. Hope that helps!

Answer:

your answer should be 12

A scale drawing for a rectangular parking lot measures 6.8 cm by 12.3 cm. The scale is 5 cm : 25 cm. Find the area of the parking lot.

Answers

Answer:

The scale drawing: 83.64 centimeters. The scale: 125 centimeters.

Step-by-step explanation:

6.8 multiplied by 12.3 equals 83.64, and 25 multiplied by 5 equals 125. Hope this helped! :D

Is the square root of 75/3 a rational or irrational number?

Answers

the square root of 75/3 is a irrational number

The square root of 75 / 3 ======> Irrational number

square root of 75 / 3

Index Value (n): 75

Number (x): 3

Given Value square root 75 / 3 =======> is IRRATIONAL

The Value is: 1.0147559739645253

Hope that helps!!!!! : )

Translate the following into an algebraic expression: a The number that is 40% more than five more than a number a.

Answers

Answer:

x = a + 8

Step-by-step explanation:

x = The number that is 40% more than five more than a number a.

x = 40% more than 5 (plus a)

5 * 0.6 = 3

5+3 = 8

x = a + 8

The answer is x=8+9.

A woman put $580 into a saving account for one year . the rate of interest on the account was 6 half %. how much was the interest for the year in dollars and cents?

Answers

I don't know about American currency but, I think it is $617 and 70 cents like $617.70.

6.5% = 6.5/100 = 0.065
0.065 x 580 = 37.7
$580 + $37.70 = $617.70

Height of a triangle with base 5m and area 20m2

Answers

Since the "base of a triangular sail is 5m shorter than its height", we have the equality

Start with the formula for the area of a triangle

Plug in , , and

Multiply both sides by 2

Distribute

Subtract 36 from both sides

Factor the right side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or  Now solve for x in each case

So our possible answers are

or

However, since a negative height doesn't make sense, our only solution is

So the height is 9 m

Now subtract 5 from the height to get the base

So the base is 4 m

Check:

Start with the formula for the area of a triangle

Plug in , , and

Multiply

Divide. Since the two sides of the equation are equal, this verifies our answer.

If you have a triangle with a base of 5m and an area of 20m2, to find the height begin with the formula of the area of a triangle.

A=1/2bh

Then, plug in your known numbers

20m2=1/2h(5m)

What I do next, is I work backwards by dividing the are by 1/2, which equals 40. All that is left to do, is divide this number, 40, by 5 to find the height.

40/5=8

Therefore, the height of the triangle is 8m

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A quadrilateral has exactly one right angle and two nonadjacent angles that each measure 105 degrees A.SquareB.RectangleC.KiteD.PentagonHELPP

Solve for n: -6(n -8) = 4(12 -5n) + 14n.