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morpeh [17]
4 years ago
5

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

Mathematics
1 answer:
Ugo [173]4 years ago
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
Could some please help me with these two
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Answer:

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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

<u>Step-by-step explanation</u>:

Given that,

The Area of the rectangle is 273.

<u><em>Step 1</em></u><em> :</em>

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

<u><em>Step 2</em></u><em> :</em>

Area of the rectangle = length \times width

                             273 = (2x - 5) x

                             273 = 2x^2 - 5x

<u><em>Step 3</em></u><em> :</em>

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.

<u><em>Step 4</em></u><em> :</em>

Find the roots using factorizing method,

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

Factorizing -546 as -26\times21

The product of -26\times21 = -546

The sum of -26 + 21 = -5

<u><em>Step 5</em></u><em> :</em>

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

<u><em>Step 6</em></u><em> :</em>

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

5 0
3 years ago
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