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4 years ago

How do I solve this equation? If 3t-7=5t then 6t=a 21b-7c-21d-42

1 answer:

5 0

$3t-7=5t \ \ \ \ \ |\hbox{subtract 3t} \\
-7=2t \ \ \ \ \ \ \ \ |\hbox{multiply by 3} \\
-21=6t \\ \\
\boxed{6t=-21} \\
\hbox{answer C}$

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The volume of a cone is 50 pi cubic feet. Its height is 6 feet. In feet, what is the radius of the cone? Round the answer to the

defon

Answer:

Radius= 5.0ft ( given)

Step-by-step explanation:

Given: Volume of cone= 50π ft^3

Height of cone= 6ft

Required: Radius

Volume of cone= 1/3 * π * r^2 *h

(or)

r^2= Volume *3/h π ( Just disintegrating the formula and taking radius^2 to the left hand side(L.H.S) )

= (50 π *3)/(6)π

= 50/2 (because, 3 π /6 π = 1/2)

r^2 = 25

now, r =√25= 5.0 ft

Therefore, the radius of the cone is 5.0 ft(to the nearest tenth) :)

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3 years ago

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2 years ago

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The black graph is the graph of y = f(x). Choose the equation for the red graph.

myrzilka [38]

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Step-by-step explanation:

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3 years ago

Could some please help me with these two

damaskus [11]

Answer:

Step-by-step explanation:

(-m)^(-3) = -m^3, since (-1)^-3 = 1 / (-1).

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3 years ago

The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions

AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

Step-by-step explanation:

Given that,

The Area of the rectangle is 273.

Step 1 :

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

Step 2 :

Area of the rectangle = length $\times$ width

273 = (2x - 5) x

273 = 2x^2 - 5x

Step 3 :

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

Step 4 :

Find the roots using factorizing method,

ac = 2 $\times$ -273 = -546 and b= -5

Factorizing -546 as -26 $\times$ 21

The product of -26 $\times$ 21 = -546

The sum of -26 + 21 = -5

Step 5 :

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

Step 6 :

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

= 2(10.5) - 5

= 21 - 5

length = 16 meters

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3 years ago