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2 years ago

In 2000 there were approximately 27 million people 18-24 years old in the United States.

Mathematics

1 answer:

Semmy [17]2 years ago

5 0

I don’t know why I never think there’s that many people

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True or False: Using the formulas A = (bh)/2 and A = 1/2(bh) will get you two completely DIFFERENT answers.

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Answer:

false they are the same formulas

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2 years ago

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Sally is planning the school picnic and needs to decide what food vendor to use. She asks 250 students whether they would rather

Oksana_A [137]

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0.18

Step-by-step explanation:

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2 years ago

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3 years ago

Find the area of the rhombus.

Inessa [10]

A=24

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3 years ago

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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

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2 years ago