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IgorC [24]
3 years ago
10

Find the sum of 5x + 6 and -11x - 9

Mathematics
1 answer:
Setler79 [48]3 years ago
3 0
-6x - 3
Step-by-step-explanation:

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Solve for V please!!!!!!!
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v = 126°

Step-by-step explanation:

Since 54° and u are corresponding angles in parallel lines, they are equal, hence, u = 54°. u and v are Same Side Interior angles. In parallel lines, Same Side Interior angles are supplementary (meaning that they add up to 180°), therefore, v = 180 - u = 180 - 54 = 126°.

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Find the slope of a line parallel to x+y=14
Alex787 [66]

Answer:

Slope = -1

Step-by-step explanation:

x+y = 14

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3 years ago
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Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume
aalyn [17]

Answer : The correct option is, (A) 54\pi cm^3

Step-by-step explanation :

First we have to calculate the volume of cylinder.

Formula used:

Volume of cylinder = \pi r^2h

where,

r = radius = 3 cm

h = height = 18 cm   (We are assuming that 3 solid spheres stacked to each other = 3 × diameter of each sphere = 3 × 2 × 3 = 18)

Volume of cylinder = \pi (3cm)^2\times (18cm)

Volume of cylinder = 162\pi cm^3

Now  we have to calculate the volume of 3 solid spheres.

Formula used:

Volume of 3 spheres = 3\times \frac{4}{3}\pi r^3

Volume of 3 spheres = 4\pi r^3

Volume of 3 spheres = 4\pi (3)^3

Volume of 3 spheres = 108\pi cm^3

Now we have to calculate the amount of empty space within a cylinder.

Amount of empty space within a cylinder = Volume of cylinder - Volume of 3 spheres

Amount of empty space within a cylinder = 162\pi cm^3-108\pi cm^3

Amount of empty space within a cylinder = 54\pi cm^3

Therefore, the amount of empty space within a cylinder is, 54\pi cm^3

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3 years ago
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