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3 years ago

PLSSS HELPPPPPPP CORRECT ANSWERS PLSSSS

Mathematics

2 answers:

Crank3 years ago

8 0

Answer:

-4. (x+4)(x-4)

Step-by-step explanation:

Sidana [21]3 years ago

5 0

Answer:

-4 x+4 x-4

Step-by-step explanation:

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A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t

dusya [7]

1. Check the picture. Let the radius of the semicircle be R, so the width of the rectangle is 2R, and let the height of the rectangle be H.

2. The perimeter of the semicircle is $\frac{1}{2}*circumference = \frac{1}{2}*2 \pi R=\pi R$

the total perimeter is $\pi R+2H+2R=2H+( \pi +2)R$

We can write H in terms of R, in order to decrease the number of variables:

$2H+( \pi +2)R=22$

$2H=22-( \pi +2)R$

$H= \frac{22-( \pi +2)R}{2} =11- \frac{( \pi +2)R}{2}$

3. The total area as a function of R is the area of the semicircle + the area of the rectangle:

$A(R)= \pi R^2+2R*H=\pi R^2+2R*(11- \frac{( \pi +2)R}{2})=$

$\pi R^2+22R-( \pi +2)R^2=\pi R^2+22R- \pi R^2 -2R^2=22R-2R^2$

so $A(R)=22R-2R^2$ is clearly a quadratic function, with its graph a parabola which opens downward (since the coefficient of R^2 is negative)

The maximal value of A(R) is the maximal value the parabola can reach, that is its vertex.

4. $A(R)=22R-2R^2=2R(11-R)$ means the roots are at R=0 and R=11, so the axis of symmetry passes through R=11/2

thus the vertex point is (11/2, A(11/2))=(11, 2*(11/2)(11-11/2))=(11, 11*11/2)=(11,121/2)
=(11, 60.5)

5. Answer: Largest possible area is 60.5 feet squared

8 0

3 years ago

Whats the G.C.F for 25 and 40 help me

Kisachek [45]

Answer:

Step-by-step explanation:

G.C.F means greatest common factor

this means the highest number that will go into both 25 and 40

5 is the highest number that will divide into both

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2 years ago

What is 2 plus 2jdjbsksnsksnjsjzjz

Nookie1986 [14]

<span>4jdjbsksnsksnjsjzjz is your answer :)))))))))))))</span>

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4 years ago

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Clint spends 1/2 hour practicing trumpet, 3/4 hour doing tasks around the house, 1 1/2 hour doing homework, and 1/4 hour cleanin

AfilCa [17]

4:30 PM! Because you have to add up all the time he spent doing these activities which is 3 hours and what time is three hours before 7:30? The answer is 4:30! Hope this helps!

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4 years ago

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One end of a ladder 32 feet long is placed 10 feet from the outer wall of a building that stands on the ground level. How far up

ladessa [460]

Answer:

30 ft

Step-by-step explanation:

This is a classic right triangle problem, where the length of the ladder represents the hypotenuse, where the ladder is lengthwise from the building is the base of the triangle, and what we are looking for is the height of the triangle. Pythagorean's Theorem will help us find this length.

$32^2-10^2=y^2$ so

1024 - 100 = y^2 and

y = 30.4 so 30 feet

4 0

3 years ago