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3 years ago

Please I need some help on this

Mathematics

2 answers:

jeyben [28]3 years ago

8 0

Answer:

Step-by-step explanation: a

Studentka2010 [4]3 years ago

4 0

Answer:

22.5%

Step-by-step explanation:

Given the dimensions of the screen to be 20by4, the area will be given using formula of area if a square since the screen is square I'm shape.

Area of the screen = length × length

Area of the screen = 20×4 = 80

Similarly, if the dimension of the image is 9by2 its area will be given as;

Area of the image = 9×2

= 18.

The percentage of the total screen occupied by the image can be expressed as;

Area of image/Area of screen × 100%

= 18/80×100%.

= 1800/80

= 22.5%

This means the image covers 22.5% of the total screen.

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VladimirAG [237]

Answer:

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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;

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

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

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