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3 years ago

PLEASE HELP and explain how you got the answer!!

Mathematics

1 answer:

maxonik [38]3 years ago

7 0

9514 1404 393

Answer:

256,096 ft²

Step-by-step explanation:

Pyramid Area

Each of the four faces is a triangle with a base of 756 feet and a height of 612 feet. The area of that triangle is ...

A = 1/2bh

A = 1/2(756 ft)(612 ft) = 231,336 ft²

The total area of the four visible faces of the Great Pyramid is ...

pyramid area = 4 × 231,336 ft² = 925,344 ft²

WTC Area

Each of the four rectangular side faces of the WTC tower has a base length of 208 ft and a height of 1368 ft. The area of it is ...

A = LW = (208 ft)(1368 ft) = 284,544 ft²

The area of the square top of the tower has an area that is ...

A = s² = (208 ft)² = 43,264 ft²

The total area of the four visible sides and the top is ...

WTC tower area = 4 × 284,544 ft² +43,264 ft² = 1,181,440 ft²

The difference between the areas is ...

WTC tower area - Great Pyramid area =

1,181,440 ft² -925,344 ft² = 256,096 ft²

The difference in visible area is 256,096 ft².

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I am of a number. If you multiply my number by 4, add -4 to the product, and then take 1/3 of the sum, the result is -6. Find my

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4 years ago

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4 years ago

Please help, this chapter was on derivatives...

weqwewe [10]

(3) Differentiating both sides of

$2x^{3/2} + y^{3/2} = 29$

with respect to x gives

$3x^{1/2} + \dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = 0$

Solve for dy/dx :

$\dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = -3x^{1/2} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{-3x^{1/2}}{\frac32y^{1/2}} = \dfrac{-2x^{1/2}}{y^{1/2}} = -2\sqrt{\dfrac xy}$

Then the slope of the tangent line to the curve at (1, 9) is

$\dfrac{\mathrm dy}{\mathrm dx} = -2\sqrt{\dfrac19} = -\dfrac23$

The equation of the tangent line would then be

y - 9 = -2/3 (x - 1) ==> y = -2/3 x + 29/3

(4) The slope of the tangent line to

$y=\dfrac{ax+1}{x-2}$

at a point (x, y) on the curve is

$\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{a(x-2)-(ax+1)}{(x-2)^2} = -\dfrac{2a+1}{(x-2)^2}$

When x = -1, we have a slope of 2/3, so

-(2a + 1)/(-1 - 2)² = 2/3

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-(2a + 1)/9 = 2/3

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7 0

3 years ago

Find the mixed number that is equivalent to this improper fraction: 17 6

Furkat [3]

Answer: 2 and 5/6

Step-by-step explanation:

6 0

3 years ago

*PLEASE HELP and explain how you got the answer!!*

PLEASE HELP and explain how you got the answer!!