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Mathematics

1 answer:

trasher [3.6K]3 years ago

5 0

Answer:

B and C

Step-by-step explanation:

The function $y = -2(x-3)^2+4$ has zeros when y or the profit equals 0.

Find the zeros by setting the equation equal to 0.

$0 = -2(x-3)^2+4\\\\-4 = -2(x-3)^2\\\\2=(x-3)^2\\\\\sqrt{2} =\sqrt{(x-3)^2}\\\\\sqrt{2}=(x-3)\\\\x=3+\sqrt{2}$

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There is a fire in the third floor of a building, 22 feet above the ground. The fire truck has a 16-foot tall ladder on top, and

Over [174]

Answer: Yes the ladder will reach the fire

Step-by-step explanation: Please refer to the attached diagram for details.

The fire is at point A, while the top of the truck is at point C. The fire is actually burning at 22 feet off the ground, but because the fire truck itself is already 6 feet off the ground, the point that would serve as the base of the building would be 16 feet from the third floor (which is 22 feet minus 6 feet). Hence, point A to point B is 16 feet. So we need to calculate if line AC (from the truck to the fire at the third floor, labeled as b) shall equal the length of the ladder which is 16-foot long.

The angle of the ladder with the top of the truck is 75 degrees. Therefore,

Sin 75 = opposite/hypotenuse

Sin 75 = 16/b

By cross multiplication we now have

b = 16/Sin 75

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b = 16.56

If the distance from A to C is 16.56 feet, then the 16-foot long ladder would reach the fire.

8 0

3 years ago

Pythagoras is planting a rose garden in the center of his rectangular yard, which is 20 feet long and 8 feet wide. He wants to d

Mama L [17]

The remaining area that the grass will cover will be given by:
Area=[area of rectangle]-[area of the triangle]
area of rectangle will be:
A1=length*width
=20*8
=160 square feet

The area of the triangle will be:
A2=1/2absin theta
since the triangle is equilateral, all the angles are equal and the size of each angle is 60°. Thus the area will be:
A2=1/2*5*5sin 60
=18.3
thus the remaining area of the grass will be:
Area=160-18.3
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6 0

3 years ago

I need the work to please

Free_Kalibri [48]

There you go I hope it helps