a cylinder with base are 169π ft^2 and a height twice the radius. what is the lateral area and surface area of the cylinder

Answers

Answer 1
Answer: Area\ of\ base:A_B=169\pi\ ft^2\n\nA_B=\pi r^2\ \ \ (r-radius)\n\n\pi r^2=169\pi\ \ \ /:\pi\n\nr^2=169\n\nr=√(169)\n\nr=13\ (ft)\n\nH=2r\to H=2\cdot13=26\ (ft)

lateral\ area:A_L=2\pi rH\n\nA_L=2\pi\cdot13\cdot26=676\pi\ (ft^2)\n\nSurface\ area:A_S=2A_B+A_L\n\nA_S=2\cdot169\pi+676\pi=338\pi+676\pi=1014\pi\ (ft^2)
Answer 2
Answer: Area of base = 169 π 

r = √Area = 13 ft


Given, height = 2 x 13 = 26 ft.

Lateral surface area of cylinder = 2πrh = 2 x π x 13 x 26 = 676 π ft²

Total surface area = 2πr(r + h) = 2 x π x 13 x 39 = 1014 π ft²

Thus, lateral surface area is 676 ft² and total surface area is 1014 ft²

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Answers

Answer:

omg

Step-by-step explanation:

too ez its 20 square rooted kid

What adds up to 11 and multiplies to -80

Answers

let your number be x

your equation will be (x+11)x = -80
expand the equation x^2 +11x +80 = 0
solve the equation and find x
its +16 and -5.
+16+-5= 11
+16*-5=-80

'make g the subject' . i could really use some help please♡​

Answers

Answer:

g=2T^2-6

Step-by-step explanation:

To make g the subject, you have to isolate it in the form of g = (stuff)

-----------------------------------------------------------------------------------------------------

T=\sqrt{(g+6)/(2)}

Square both sides:

T^2=(g+6)/(2)

Multiply both sides by 2:

2T^2=g+6

Swap Sides:

g+6=2T^2

Subtract 6 from both sides:

g=2T^2-6

What is the algebraic expression for the following word phrase the quotient of 3 and z

Answers

Answer:

(3)/(z).

Step-by-step explanation:

Given : phrase the quotient of 3 and z.

To find :what is the algebraic expression for the following word phrase .

Solution : We have given

Phrase the quotient of 3 and z.

We get the quotient when we divide the two terms.

So , We need to divide 3 and z to get the quotient.

Quotient = (3)/(z).

Therefore,  (3)/(z).

The algebraicexpression for the word phrase "the quotient of 3 and z" is 3/z or 3 ÷ z.

We have,

The word "quotient" indicates division, so we know that we need to perform a division operation.

In this case, we are dividing the number 3 by the variable z.

In algebraic notation, the division is typically represented using the forward-slash (/) or the division symbol (÷).

Therefore, we can write "the quotient of 3 and z" as 3/z or 3 ÷ z.

Both expressions convey the idea that we are dividing 3 by the value of z.

Thus,

The algebraicexpression for the word phrase "the quotient of 3 and z" is 3/z or 3 ÷ z.

Learn more about expressions here:

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Solve for X look at the image below

Answers

Answer:

x = 3

Step-by-step explanation:

m<R = 180 - 110 = 70

m(arc)KQ = 2 × 70 = 140

m(arc)PQ = 140 - 50 = 90

30x = 90

x = 3

Which equation represents the line that passes through the points (-3, 7) and (3, 3)?

Answers

Answer: y = 2/3 (x + 3) +7

Step-by-step explanation:

1. Find the slope

Slope is found by the change in y over the change of x.

(7-3)/(3--3)

2. Evaluate

4/6

3. Simplify

2/3

4. Find a point to use in the equation, so you can write the equation in point, slope form. For this problem, I have chosen the provided point, (-3, 7)

Point slope form: y = m(x - x1) + y1

5. Plug the point into the equation

y = 2/3 (x + 3) +7