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3 years ago

I need help, also give explantion please

Mathematics

1 answer:

HACTEHA [7]3 years ago

3 0

Answer:

$\huge \: 8 {x}^{3} \times 3 {x}^{9} = 24 {x}^{12}$

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A reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer tha

morpeh [17]

Answer:

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

Step-by-step explanation:

In the question, the shape of the pool is right triangle.

Let the leg side along the wall to be the x ft

Let the other leg side to be 7+x ft

Let the longest side/hypotenuse to be x+9 ft

Apply the Pythagorean relationship where the sum of squares of the legs equals the square of the hypotenuse

This means;

$x^2 +(x+7)^2=(x+9)^2\\\\$

Expand the terms in brackets

$x^2+(x+7)^2=(x+9)^2\\\\\\x^2+x^2+14x+49=x^2+18x+81$

collect like terms

$x^2+x^2-x^2=18x-14x+81-49\\\\\\x^2=4x+32\\\\\\x^2-4x-32=0$

solve for x in the quadratic equation by factorization

$x^2-4x-32=0\\\\\\x^2-8x+4x-32=0\\\\\\x(x-8)+4(x-8)=0\\\\\\(x+4)(x-8)=0\\\\\\x+4=0,x=-4\\\\x-8=0,x=8$

Taking the positive value of x;

x=8ft

Finding the lengths

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

6 0

3 years ago

PLLLZZ EXPLAIN HOW YOU GOT IT! I will give you branilest!

Nezavi [6.7K]

Answer:

Getting through ratio method

100-20=80 percent have to pay

18:80

<em>x</em>:100

cross multiply

80 x <em>x=1</em>8 x 100

80x=1800

x=1800/80

x=22.5

So the original price was $22.50

Step-by-step explanation:

5 0

3 years ago

Find the surface area of prism

SCORPION-xisa [38]

Answer:

hope it helps mark me brill

Step-by-step explanation:

The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

4 0

3 years ago

PLEASE HELP- Vanessa earns a base salary of $400.00 every week with an additional 5% commission on everything she sells. Vanessa

matrenka [14]

The commission is 5% on everything she sells
If she sold $1650.00
First you have to find her commission
100%=1650
5%=x
100•x=1650•5
100•x=8250
—— ———
100 100
x=82.5(this is her commission)
Now you have to add $82.5 to total she earns in the week.
$400.00+ $82.5 = $482.5
The Vanessa’s total pay last week was $482.5

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3 years ago

Find the dimensions of a rectangle

gayaneshka [121]

The length of the shorter side is 7 longer side is 12 7+7+12+12 is 38 and 7x12 is 84

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2 years ago