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Akimi4 [234]
3 years ago
5

The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x

Mathematics
2 answers:
Alborosie3 years ago
5 0

Answer:

Height or x is 4.50 feet.

Step-by-step explanation:

Surface area is given as : 2\pi rh+2\pi r^{2}

Volume is given as : \pi r^{2} h

The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. This means:

2\pi rh+2\pi r^{2} = \pi r^{2} h

Diameter is given as : 7\frac{1}{5} =\frac{36}{5} =7.2 feet

So, radius = 7.2/2=3.6 feet

height = h

SA = 2\times3.14\times3.6h+2\times3.14\times(3.6)^{2}

= 22.61h+81.39 feet square

Volume = 3.14\times(3.6)^{2} \times h

= 40.70h cubic feet

Now as SA= volume ; we will equal both and solve for h;

22.61h+81.39=40.70h

=> 40.70h-22.61h=81.39

=> 18.09h=81.39

h = 4.50 feet

Hence, height or x is 4.50 feet.

So, SA = 183.12 square feet

Volume = 183.12 square feet

Slav-nsk [51]3 years ago
3 0

pi·(7.2/2)^2·x = 2·pi·(7.2/2)^2 + 2·pi·(7.2/2)·x

x = 4.5 = 4 1/2

O = V = 1458/25·pi = 58.32·pi

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Write equivalent fractions for 3\5 and 1\4 using 20 as the conman denominator
Sindrei [870]

Answer:

12/20=3/5   5/20=1/4 so the answer would be 12/20 + 5/20

4 0
2 years ago
6 (3x-1)-10x. with work please :)
STatiana [176]
Hey there!
Let's break this expression into two parts:
6(3x-1) and -10x

To solve the first part, we need to use the distributive property which states:
a(b+c) = ab+ac

Applying that to this problem, we have:
6(3x) + 6(-1) =
18x - 6

Now, we can take that -10x and put it right back in:

18x - 6 - 10x

Combine like terms and subtract the 10x from the 18x to get:
8x - 6

Hope this helps!
4 0
3 years ago
2. Randy has a house that is worth $250,000 but he still owes $175,000. He has a car that is worth $50,000 but he still owes $37
faust18 [17]

Answer:

$91,200

Step-by-step explanation:

I gave it my best shot sorry if it wrong

3 0
3 years ago
128 POINTS IF YOU HELP
Aleksandr-060686 [28]
(A) We let y = the cost and are told x = the number of people. Since you pay $20 per person, the cost is 20x. That is, y=20x

(B) Again, let the cost =y and the number of people is given as x. You pay $10 per person or 10x plus an additional $50 for the room. That is, y=10x+50

(c) Link to graphs: https://www.desmos.com/calculator but if that doesn't work see the attachment for a screen shot. You just have to put the equations (type them) at left and the graph comes automatically.

(D) The admission price is the same when the two equations are equal. You can find this by setting them equal to each other as such: 20x = 10x+50 and solving for x. However, since you just graphed them the point of intersection (where the lines share/have the same point) gives the information. Remembers that (x,y) = (people, cost). The graphs intersect at (5, 100) so for 5 people the cost is the same and the cost is $100.

(E) For the regular rate we let x = 6 and solve for y (the cost). We get y = 20x which is y = (20)(6)=120. It costs $120 using the regular rate to take 6 people. Now let's use the equation for the group rate again with x = 6. Here we get y = 10x +50 or y = 10(6)+50 = $110. The group rate costs $110.

(F) The cost is the same at 5 people but if there are more than five the group rate is better as we saw in part E. So the regular rate is better for less than 5 people.

(G) Here y = $150. Let us use the group rate formula and solve for x (the number of people). 10x+50 = 150 so 10x = 100 and x = 10. Since 10 is more than 5 this is the better deal. However if you don't believe it or want to double check we can solve for x using y = 150 and the regular rate equation. We get: 20x = 150 so x = 7.5 Since we can't bring half a person we would only be able to bring 7 and that is less than 10 so this is not the best choice. Use the group rate and bring 10 people!

8 0
3 years ago
Read 2 more answers
Write the numbers in order from least to greatest. 8/10, -.82, 2.5, -9.5
Art [367]

Answer: -9.5, -.82, 8/10, 2.5

Step-by-step explanation:

-9.5 is the least because the bigger the negative number is the smaller it's value is (opposite of positive numbers)

-.82 same thing

8/10 or .8

2.5 same thing as 2.50 so what is greater $2.50 or $0.80 exactly 2.50 is greater so it's the greatest

6 0
3 years ago
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