Find the diameter of the base of a right cylinder if the surface area is 128(pi) and the height is 12cm.

Answers

Answer 1

Answer: $d=2r\n A=128 \pi \n A=2 \pi r^(2) +2 \pi rh \n\n 2 \pi r^(2) +2 \pi rh = 128 \pi \n 2 r^(2) +2rh = 128\n 2 r^(2)+24r-128=0\n r^(2)+12r-64=0\n delta=400\n r_(1/2) = -16/4 \n r=4cm\n d=8cm\n$

Radius / diameter as a length cannot be negative, that's why '-16' is wrong.

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I am factor of 48, I am bigger than 4 square. I am smaller than 5. WHAT IS THE MYSTERY NUMBER

Answers

If it is betwern 4² and 5² and is a factor of 48,Then it must be 24 as 24*2=48

48 would be your answer, this is a number between the factors 4^2 & 5^2

One day a store sold 33 sweatshirts, White ones cost $11.95 and yellow ones cost $11.50. In all, $386.70 worth of sweatshirts were sold. How many of each color were sold?

Answers

16 whites $191.20 and 17 yellow $195.50 total $386.70

30 POINTS!!!The Pythagorean theorem is used to prove that a triangle is an _____ triangle.

A. Right
B. Isosceles
C. Equilateral
D. Acute

Answers

Answer:

Step-by-step explanation:

A. Right Triangle

How many positive intergers less than 25 are divisible by 2, 3, and 5?

Answers

Hello,

All numbers divisible by 2,3,5 are multiple of 2*3*5=30.
The only positive integer multiple of 30 less than 25 is 0.
(I don't know if in US 0 is considerated as positive) in my country yes.

A skier has decided that on each trip down a slope, she will do 2 more jumps than before. On her first trip she did 6 jumps. Derive the sigma notation that shows how many total jumps she attempts from her fourth trip down the hill through her twelfth trip. Then solve for the number of total jumps from her second to tenth trips.

Answers

∑i=2i=10(4+2n)= You can do it by hand, w/o much work . plug in n=2 into (4+2n) then plug in n=3 into (4+2n) then plug in n=4 into (4+2n) etc until you get to n=10. Add them all up.
add 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24
144 jumps!

The sum of three consecutive integers is 267 what is the largest integer

Answers

Well 88 + 89 + 90 = 267. So the largest integer is 90.

If we cal lthe first number 'n' then we know that the numbers are n, n+1 and n+2 and we know the sum:
$n+(n+1)+(n+2)=267$
therefore:
$3n+3=267$
$3n=264$
$n=88$

The numbers are 88,89,90, the largest of which is 90.

To check: 88+89+90=267. Checks.

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