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3 years ago

Area of composite shapes!!

Mathematics

1 answer:

LenaWriter [7]3 years ago

6 0

The answer to the questions is 27

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At a 33-foot depth underwater, the pressure is 29.55 pounds per square inch (psi). At a depth of 66 feet, the pressure reaches 4

andrezito [222]

I am thinking it is times 2 everytime

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3 years ago

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

If sin 21 = cos (5x+9) what is the value of x

n200080 [17]

sin x = cos 54 = sin (90-54) = sin 46

Hence x = 46 deg

Same technique. Sin 21 = cos (5x+9) = sin (90-5x-9)

81-5x = 21

Or 5x = 60

Or x = 12 deg

hope it helps

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3 years ago

Determine if the expression - x^3 y^5 / 3 is a polynomial or not. If it is a polynomial, state the type and degree of the polyno

kykrilka [37]

Answer:

it is not a polynomial it has no degree either .. and we only classify polynomials in accordance with their degrees

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2 years ago

What is x in the diagram?

Brut [27]

Answer:

C $6\sqrt{3}$

Step-by-step explanation:

3 0

2 years ago

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