The radius of a cylindrical gift box is (2x+3) in. The height of the gift box is twice the radius. What is the surface area of the cylinder? Write your answer as a polynomial form.

Answers

Answer 1

Answer: let "r" be the radius of cylinder and "h" be the height.
Formula for surface area is:

S= 2*r^2*pi + 2*r*pi*h

where 2*4^2*pi is surface of two bases of cylinder and 2*r*pi*h is surface of mantle.
One of the tasks conditions is that h = 2*r.

S = 2*r^2*pi + 2*r*2*r*pi

second and last condition is r=(2x+3). Now we express this as well.

S = 2*(2x + 3)^2 * pi + 4*(2x+3)^2*pi=6*pi*(2x+3)^2

S = 6*pi*(4x^2+12x + 9)
S = 24*pi*x^2 + 72*pi*x + 54*pi

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Solve the following proportion forv/11 = 7/3Round your answer to the nearest tenth.
Which of the following statements is true?

In polar coordinates, the origin is called the _____.

Answers

it is called the POLE hope i am the brainliest i need it to gt the next rank

Answer:

In polar coordinates, the origin is called the pole.

What is -4 x 3 when 4 is negative??

Answers

-12

When multiplying a negative and a positive, the product is a negative.

Whenever you are confused, you can write the multiplication tic tac toe on the corner of your paper and it really helps! (it's in the photo below)

Just remember that the positives are put in a diagonal line.

Hope this helps!

Let me know if you need anything else :)

Answer:

-12

Step-by-step explanation:

-×-=+

so -×+=-

so -4×3=-12

How many times can 12 go into 804 and how many remainder is left

Answers

12 can go into 804 67 times. There is no remainder.

804/12= 67
there are no remainders

The ticket price for the ice hockey match was £14.50. The price has increased by 7%. How much is a ticket after the increase?

Answers

7%= $\frac {7}{100}$ = 0.07
14.5 × 0.07 = 1.015
Add this number to the original:
14.5+1.015 = £15.515

There is another way, whenever they give us an increased Percentage, they provide us with a hint!
we add that increased percent to 100
100+7=107%
107%= $(107)/(100)$ = 1.07
14.5×1.07= £15.515, it can also be rounded to 15.52
£15.515≈£15.52

Write the slope-intercept form of the equation of the line through the given points. through: (3, -4) and (-4, 4)

Answers

first, you need your slope. this can be found by the slope formula: m = (y2 - y1)/(x2 - x1)

(3, -4) and (-4, 4)
(x1, y1) and (x2, y2)

m = (4 - -4)/(-4 - 3)
m = (8)/(-7)
so your slope is -8/7

now, to find a line through the given points, the only piece of information you're missing is your y-intercept. you just have to pick one point and plug it into slope-intercept form: y = mx + b, then solve for b

(-4) = (-8/7)(3) + b
-4 = -24/7 + b
-4/7 = b

so plug all of it into y = mx + b:

y = (-8/7)x - 4/7

PLEASE PLEASE PLEASE I NEED THIS