MATHEMATICS HIGH SCHOOL

Please
work out
∛15.76 - 4.6³ ÷2.5/3

Answers

Answer 1
Answer:

Answer:

-10.47413972 or -10.47

Step-by-step explanation:

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Answer 2
Answer:

Answer:

-10.47 is the answer

Step-by-step explanation:

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What is the average of the integers from 25 to 41? 27, 33, 36, 66 ?
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Find two consecutive numbers whose sum is 117

Answers

So,

x + y = 117
y = x + 1
x + x + 1 = 117

Collect Like Terms
2x + 1 = 117

Subtract 1 from both sides
2x = 116

Divide both sides by 2
x = 58

y = x + 1

y = 58 + 1

y = 59

The 2 consecutive integers are 58 and 59.
n+n+1=117\n2n=116\nn=58\nn+1=59

These numbers are 58 and 59.

Need help with question 5 please

Answers

Answer:

-1/6

Step-by-step explanation:

To find the slope we use

m = (y2-y1)/(x2-x1)

    = (-4-8)/( 1-3)

    = -12/-2

    =6

We want a line perpendicular, so we need the negative reciprocal

- (1/6)

-1/6

The altitude of an equilateral triangle is 18 inches. Find the length of a side

Answers

Let the length of equilateral triangle be x.

Each of the angle in an equilateral triangle is = 60°

The opposite to the 60° is the 18 inches. Hypotenuse is the side.

Sin 60° = 18 / Hypotenuse

Hypotenuse = 18 / Sin60°.                      Sin60° = √3 / 2

 x = 18 / (√3 / 2)

                      =   18 / √3  *  2/1 =  36 / √3

              x       = 36 / √3

 Rationalize the surd = 36 / √3  * (√3 / √3 ) = 36√3 / 3

                                   x = 12√3 ≈ 12 * 1.732 ≈ 20.784

Length of side, x = 12√3 ≈ 20.784 inches.

the area of a rectangle is 54x^9y^8 square yards if the length of the rectangle is 6x^3y^4 yards what expression represents the width of the rectangle in yards

Answers

For this case we have:
 The area of a rectangle is given by:
 A = (w) * (l)
 Where,
 w: width
 l: long
 Substituting values we have:
 (54x ^ 9y ^ 8) = (w) * (6x ^ 3y ^ 4)
 Clearing w we have:
 w = (54x ^ 9y ^ 8) / (6x ^ 3y ^ 4)
 Rewriting:
 w = (9 * x ^ 6y ^ 4)
 Answer:
 the length of the rectangle is:
 w = (9 * x ^ 6y ^ 4)

Calculate the total cost of an item bought at a negotiated price of $15,640 and a $2,500 trade-in allowance. The sales tax is 7.2 with a $106 registration fee.$13,160
$14,372.08
$1,232.08
$14,286.08

Answers

15,640 * 7.2% = 1,126.80 Sales tax

Total cost:
cost of an item: 15,640 - 2,500 = 13,140.00
sales tax                                         1,126.80
registration fee                                   106.00
                                                     14,372.80   2nd option.

A firm produces 16,200 units at a total cost of $37,585.60. Find the cost per unit to the nearest cent.2.33
2.32
0.43
0.44

Answers

There are a total of 16 200 units with a total costs of 37 585.60 dollars. Now, Given with the choices for the answer, let's find out which one is correct. To be able to get the answer, simply divide the total costs, with the total number of units.  => 37 585.60 dollars  / 16 200 units  => 2.3201 dollars per unit.Next, we need to round this cents to the nearest given options.Since the number next to hundredths is less than 5 , the let's round it to : => 2.32. - this is the correct answer.
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