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Fittoniya [83]
4 years ago
11

Factor these please!!!!!!!!!!!!!

Mathematics
1 answer:
motikmotik4 years ago
3 0
I gotchu!
1)
(x  + 7)(x + 1)
(where x is b)
3)
(x + 10)(x - 9)
(where x is m)

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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
Find the area of the figure. Use 3.14 for A.
Masteriza [31]

Answer:

38.13 m^2

Step-by-step explanation:

the area of a triangle =b*h/2

b=base

h=height

area triangle=(4m*3m)/2=(12m^2)/2=6m^2

the area of a rectangle =b*h

b=base

h=height

area of a rectangle=6m*3m=18m^2

area of a semi circle=(pi*r^2)/2

r=radius

area of a semi circle==(3.14*(3m)^2)/2=14.13m^2

area of the figure=6m^2+18m^2+14.13m^2=38.13m^2

the answer is 38.13m^2

8 0
4 years ago
rosa correctly solved 275 divided by 5.enter numbers in boxes to show the equations she could use to solve the problem
kifflom [539]

Answer:

The first step would be to look at the first two numbers (which is 27) and estimate which <u>multiple</u> of 5 is closest and <u>below</u> 27.

5*5 = 25

So once she got 25, she will need to subtract 27-25, which will give her 2. REMEMBER: 5 is the first number of the quotient.

Now, she will need to drag the last digit left of 275 (which is 5) to the remainder 2 and think what multiple of 5 will give her the answer 25.

Again, 5*5 = 25

Once again, her numbers on the quotient will be 55. That's the answer.

6 0
3 years ago
What is the greatest common factor of 24 and 84? A. 6 B. 12 C. 20 D. 24
sladkih [1.3K]

The greatest common factor for these two numbers is 6 because if you divide 24 by 6 you get 4 and if you divide 84 by 6 you get 14.

8 0
4 years ago
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What is 5.37 as a mixed number
Musya8 [376]
5 37/100 5 is the whole part and you have 37 hundredths
6 0
3 years ago
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