Find the surface area

Answers

Answer 1

Answer: Surface Area formula of a cylinder:
S.A = 2 × Area of base + Perimeter of base × Height of prism
= 2 $\pi$ r² + 2 $\pi$ rh
= 2 $\pi$ (5)² + 2 $\pi$ (5)(18)
= 50 $\pi$ + 180 $\pi$
= 230 $\pi$ in² ( in terms of $\pi$ )
= 722.566 in²
= 722.7 in² ( to the nearest tenth )

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Shiv and his friends ate 3 1/6 pizzas. Write this amount as a decimalwhich one is the answer?

Answers

Answer:

$3(1)/(6)=3.17$

Step-by-step explanation:

Shiv and his friend ate $3(1)/(6)$ pizzas.

That means he and his friends ate 3 full pizzas and a fraction of $(1)/(6)$ of one pizza.

Now we divide this fraction to get the decimal.

$(1)/(6)=0.166$ ≈ 0.17

Therefore, we can represent $3(1)/(6)=3.17$ which is a form of decimal up to hundreds place.

3 and 1/6 is equal to 3 + 1/6
Use a calculator to evaluate 1/6 and add it to 3
The answer should be 3.166

Sequence 800,400,200,100,50

Answers

It's divided by 2 each time.

Book a has 24 more pages than book b.book c has 4 times as many pages as book a.the total number of pages of the three books is 180.how many pages does book b have ?please show the work

Answers

a=b+24
c=4a
b=a-24
a+b+c=180
sub in a,b and c into a+b+c=180
b+24+4a+a-24=180
b+5a=180
sub a=b+24
b+5(b+24)=180
b+5b+120=180
6b=180-120
6b=60
b=10
Book B has 10 pages

a=24+b
c=4a
c=4(24+b)
a+b+c=180
24+b+b+4(24+b)=180
24+b+b+96+4b=180
120+6b=180
6b=60
b=10
a=24+10
a=34
c=4(34)
c=136
34+10+136=180
So book a has 34 pages, book b has 10 pages, and book c has 136 pages.

Simplify the expression 5g+5-2g+g+5h

Answers

group like terms (g's with g's and constants with constants)
5g-2g+g+5h+5
add like terms
4g+5h+5

The lesser of two consecutive even integers is 10 more than one-half the greater. Find the integers.

Answers

Hello,

Here's my solution:

Let n = the lesser of the two consecutive even integers; so what will be a good way to represent the greater of the two consecutive even integers? I say n + 2.

Let's write the equation:
n = ((n+2)/2) + 10

I'll multiply both sides of the equation by 2 to eliminate the denominator, getting:
2n = 2[((n+2)/2) + 10]

This reduces to:
2n = n+2 + 20

Which can be further simplified to:
2n = n+22

Subtracting n from both sides we get:
n = 22

So n, the lesser consecutive even integer is 22. The greater consecutive even integer is 24.

Let's check this solution by substituting n = 22 into our original equation:

n = ((n+2)/2) + 10

22 = ((22+2)/2) + 10
22 = ((24)/2) + 10
22 = (12) + 10
22 = 22 - it checks!

How many times can 91 go into 357

Answers

91 can go into 357 3 times

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