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Blababa [14]
3 years ago
12

The Great Pyramid is a square pyramid with a base area of 571,536 ft2 and a height of 48 stories. Each story is approximately 10

feet. Estimate the volume in cubic yards.
Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0
To estimate the volume, you will use the formula for finding volume of a pyramid.

You will need to convert the height, given in feet, to yards.

(48 x 10)/3= 160 yards

You also need to convert the area of the base to square yards.

571536 ft.²/ 9 ft.² (1 square yd)= 63,504 yd.².

V = 1/3 BH, where B is the area of the base.

V = 1/3 x 63504 x 160
V = 3,386880 cubic yards

The approximate volume of The Great Pyramid is 3,386,880 yd.³.
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Simplify and verify the results for
KatRina [158]

Answer:

21440

Step-by-step explanation:

<h2>Simplify:</h2>
  • (7x³ + 8x² - 3)(x² - 5)

Start by multiplying 7x³ by x² and -5.

  • 7x⁵ - 35x³ + (8x² - 3)(x² - 5)    

Multiply 8x² by x² and -5.

  • 7x⁵ - 35x³ + 8x⁴ - 40x² + (-3)(x² - 5)

Multiply -3 by x² and -5.

  • 7x⁵ - 35x³ + 8x⁴ - 40x² -3x² + 15

Combine like terms together.

  • 7x⁵ - 35x³ + 8x⁴ - 43x² + 15

Rearrange the terms in descending power order.

  • 7x⁵ + 8x⁴ - 35x³ - 43x² + 15  
<h2>Verify (I): </h2>

Substitute x = 5 into the above polynomial.

  • 7(5)⁵ + 8(5)⁴ - 35(5)³ - 43(5)² + 15

Evaluate the exponents first.

  • 7(3125) + 8(625) - 35(125) - 43(25) + 15

Multiply the terms together.

  • 21875 + 5000 - 4375 - 1075 + 15

Combine the terms together.

  • 21440

This is the answer when substituting x = 5 into the simplified expression.

<h2>Verify (II):</h2>

Substitute x = 5 into the expression.

  • [7(5)³ + 8(5)² - 3][(5)² - 5]

Evaluate the exponents first.

  • [7(125) + 8(25) - 3][(25) - 5]

Multiply the terms in the first bracket next.

  • [875 + 200 - 3][25 - 5]

Evaluate the expressions inside the brackets.

  • [1072][20]

Multiply these two terms together.

  • 21440

This is the answer when substituting x = 5 into the original (unsimplified) expression.

3 0
3 years ago
A bulb is rated at 330V- 110W. What do you think is its resistance? Three
ololo11 [35]

Answer:

330

Step-by-step explanation:

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5 0
3 years ago
Please help me with this one I don’t understand. I need help with #20 thank you!
dimaraw [331]

part A)

we know that for every 1000 ft the temperature drops by 1.3.

so after 1000ft up it went down by 1.3(1)

2000ft up it went down by 1.3(2) or 2.6

3000ft up it went down by 1.3(3) or 3.9

after 10000 up it went down by 1.3(10) or 13.

part B)

well, the current temperature on the ground where the plane is sitting is -2.8°F, after 10000ft it dropped by 13°, so the temperature will just be -2.8 - 13 = -15.8°F.

8 0
4 years ago
What's five divided by two
bogdanovich [222]
The answer to this problem would be 2.5.
4 0
3 years ago
Read 2 more answers
Refer to the figure below to complete the following problem.
IRINA_888 [86]

Answer:

38

Step-by-step explanation:

5x-7=3x+ll

5x=3x+18

2x/2=18/2

x    =9

5 x 9 -7 = 36

3 x 9 + 11=36

m D =36

3 0
3 years ago
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