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Charra [1.4K]
3 years ago
8

What is the volume of the pyramid

Mathematics
1 answer:
Marianna [84]3 years ago
3 0

For this case we have by definition, that the volume of a square base pyramid is given by:

V = \frac {1} {3} * L ^ 2 * h

Where:

L: It's the side of the base (square side)

h: It's the height of the pyramid

Substituting:

L = 6 \ ft\\h = 10 \ ft

V = \frac {1} {3} * (6) ^ 2 * 10\\V = \frac {1} {3} * 36 * 10\\V = 120 \ ft ^ 3

Answer:

V = 120 \ ft ^ 3

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Is the term (X + 2) a factor of the polynomial shown below?
QveST [7]

The correct answer is: No, the remainder is -114

Further explanation:

In order to check whether the given term is a factor of given polynomial or not we will put

x+2=0

x=-2

Given

f(x)=x^3 - 10x^2 + 27^x - 12\\f(-2)=(-2)^3-10(-2)^2+27(-2)- 12\\=-8-10(4)-54-12\\=-8-40-54-12\\=-114

As the remainder is -114, the term x+2 is not a factor of given polynomial

The correct answer is: No, the remainder is -114

Keywords: Polynomials, expressions

Learn more about polynomials at:

  • brainly.com/question/12933039
  • brainly.com/question/12933852

#LearnwithBrainly

3 0
3 years ago
Simplify the algebraic expression <br> 3/4(4x-8y)
kompoz [17]

Answer:

3x-6y

Step-by-step explanation:

3/4(4x-8y)

3/4×(4x-8y)

3/4×4(x-2y)

3×1(x-2y)

3x-6y

6 0
2 years ago
IF U SEE THIS PLZ HELP IM FAILING! 20 POINTS AND WILL MARK BRAINLIEST!
marshall27 [118]

Answer:

mc013-1.j pg

Step-by-step explanation:

The answer is A

6 0
4 years ago
Read 2 more answers
Un paese contava 12000 abitanti all'inizio del 2007 durante l'anno i nati sono 1,7 % del totale degli abitanti e morti sono 2% c
grandymaker [24]

Step-by-step explanation:

12000 abitanti all'inizio del 2007

nati: 1.7% × 12000 = 204

morti: 2% × 12000 = 240

popolazione all'inizio del 2008: 12000 + 204 - 240 = 11964

6 0
2 years ago
From the parking lot at red hill shopping center the angle of the top of the hill is about 25 from the base of the hill the angl
eimsori [14]

Answer:

512 ft.

Step-by-step explanation:

From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.

Solution:

Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:

tan 25 = h/(x + 740)

h = (x + 740)tan 25       (1)

tan 55 = h / x

h = x tan 55        (2)

Hence:

(x + 740)tan 25 = xtan 55

0.4663(x + 740) = 1.428x

0.4663x + 345.07 = 1.428x

0.9617x = 345.07

x = 359 ft.

h = xtan55 = 359 tan(55) = 512 ft.

8 0
3 years ago
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