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kiruha [24]
3 years ago
6

What is the prime factorization of -96? tell me how do u get the answer

Mathematics
1 answer:
bezimeni [28]3 years ago
6 0
Hello : 
<span> the prime factorization of -96 is :  - 3×2^5</span>
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Factor completely<br> x2+ 9x + 20
Sunny_sXe [5.5K]

Answer:

(x + 5) (x + 4)

Step-by-step explanation:

Simplify the following:

x^2 + 9 x + 20

The factors of 20 that sum to 9 are 5 and 4. So, x^2 + 9 x + 20 = (x + 5) (x + 4):

Answer: |

| (x + 5) (x + 4)

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3 years ago
Find the surface area of the composite solid. Round your answer to the nearest hundredth. A. 178.04 cm2 B. 184.04 cm2 C. 187.08
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From a window 20 feet above the ground, the angle of elevation to the top of a building across
Nikitich [7]

Answer: The answer is 381.85 feet.

Step-by-step explanation:  Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across  the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.

This situation is framed very nicely in the attached figure, where

BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?

From the right-angled triangle WGB, we have

\dfrac{WG}{WB}=\tan 15^\circ\\\\\\\Rightarrow \dfrac{20}{b}=\tan 15^\circ\\\\\\\Rightarrow b=\dfrac{20}{\tan 15^\circ},

and from the right-angled triangle WAB, we have'

\dfrac{AB}{WB}=\tan 78^\circ\\\\\\\Rightarrow \dfrac{h}{b}=\tan 15^\circ\\\\\\\Rightarrow h=\tan 78^\circ\times\dfrac{20}{\tan 15^\circ}\\\\\\\Rightarrow h=361.85.

Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.

Thus, the height of the building across the street is 381.85 feet.

8 0
3 years ago
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asambeis [7]

Answer:

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Step-by-step explanation:

cost of the cleaning is calculated from the area of the carpets

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Cost of the cleaning, C is the dependent variable

Area of the carpet, a is the independent variable

A dependent variable is a variable which depends on other factors to exist. They take their values based on other factors. Their value is changed as a result of a change in independent variable

An independent variable is a variable which does not change as a result of the change in other factors. They take their values irrespective of external factors around them.

5 0
3 years ago
Rectangle PQRS with vertices P(- 6, 9) , Q(3, 6); R(0, - 9) and S(- 9, - 6)
STatiana [176]

Answer:

multiply the original coordinate by 3 so its c

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multiply the original coordinate by 3

6 0
2 years ago
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