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Elina [12.6K]
2 years ago
6

Please help me.......asap

Mathematics
1 answer:
taurus [48]2 years ago
8 0

Answer: more than half of the population is shorter than 5 feet tall.

Step-by-step explanation: all the dots but 1 is on or below 5.

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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
Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

A_1 = \pi*radius^2/2

A_1 = \pi*(w/2)^2/2

A_1 = \pi/8*w^2

And the area of the rectangle is:

A_2 = w*x

If the perimeter of the window is 41 feet, we have:

Perimeter = length + 2*width + \pi*radius

41 = x + 2*w + \pi*w/2

x = 41 - w(2 + \pi/2)

Now, the equation for the total area of the window is:

A = A_1 + A_2 = \pi/8*w^2 + w*x

A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))

A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2

3 0
3 years ago
What is the output value for the following function, f(x) = 5x - 2 if the input value is 3?
Zanzabum
F(x)=5x-2
y=5x-2
y=5(3)-2
y=15-2
y=13

so the answer is B. 13
8 0
3 years ago
Read 2 more answers
how many pounds of rock will you need to fill an area 25 ft by 35 ft to a depth of 2 in. If the rock weighs 1050 lb cubic yard?
Eduardwww [97]

The volume of the area is Length x width x height:

25 x 35 x 2/12 = 145.83 cubic feet.

1 cubic foot = 0.037 cubic yards:

145.83 x 0.037 = 5.40 cubic yards.

5.4 cubic yards x 1050 lbs/ cubic yard = 5,665.6 pounds.

Note:

Rounding and conversion may change the answer slightly, but I believe I rounded everything as it should be.

6 0
3 years ago
Write all names that apply to the number 36/9
rjkz [21]
Whole number
integer
natural number
rational
4 0
3 years ago
The diagram shows a 91 m building with a flagpole outside. the shadows of the building and the flagpole end at point c. what is
Marta_Voda [28]
It would be 13 meters, took the same test and it was the answer lol
good luck if you haven't
 already taken it!!<span />
7 0
3 years ago
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