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attashe74 [19]
3 years ago
7

Certain gases in the atmosphere trap heat on Earth.

Mathematics
1 answer:
erik [133]3 years ago
4 0
<span>C.
glacial melting<<<<<<<<<<<<<<<</span>
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4) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is
lisov135 [29]

Answer:

l=0.1401P\\

w =0.2801P

where P = perimeter

Step-by-step explanation:

Given that a window is in the form of a rectangle surmounted by a semicircle.

Perimeter of window =2l+\pid/2+w

P= 2l+3.14 (w/2)+w

Or P = 2l+2.57w\\l = \frac{P-2.57w}{2}

To allow maximum light we must have maximum area

Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle

A=lw +\pi \frac{w^2}{8}

A=lw +\pi \frac{w^2}{8}\\A=w*\frac{P-2.57w}{2}+0.3925w^2\\2A= Pw-2.57w^2+(0.785w^2)\\2A' = P-5.14w+1.57 w\\2A" =-5.14+1.57

Hence we get maximum area when i derivative is 0

i.e. P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P

l = \frac{P-2.57w}{2}\\l = 0.1401P

Dimensions can be

l=0.1401P\\w =0.2801P

5 0
3 years ago
Please help!!!!!!!!!!!!!!
Aloiza [94]

Answer:

11.4 feet

Step-by-step explanation:

Using the right triangle formed by the tent pole, the ground and the guy rope,  where the guy rope (g) is the hypotenuse.

Applying Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

g² = 9² + 7² = 81 + 49 = 130 ( take the square root of both sides )

g = \sqrt{130} ≈ 11.4 feet

7 0
3 years ago
What quadrant is (15,-12) lie
Pie

Answer:

IV/4

Step-by-step explanation:

Go to 15 on the x line and go down 12 and that’s the 4

8 0
3 years ago
NEED HELP ASAP!! NO LINKS!!! OR U WILL BE REPORTED!! WILL GIVE BRAINIEST!!
Afina-wow [57]

Answer:

Y = 6,8          X = -6,3           Z = -2, -1

Y = 9,7           X = -3,2          Z = 1,-2

Step-by-step explanation:

6 0
3 years ago
I need the step by step answer for 1/3(9x+3)=3x+1
Natalka [10]
1/3 * 9x = 3x

1/3 * 3 = 1

3x + 1 = 4x

3x + 1 = 4x

4x=4x
7 0
3 years ago
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