MATHEMATICS HIGH SCHOOL

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The curved surface of cylinder is 484 cm^2 and height is 5.5 cm. Find its radius.

Answers

Answer 1

Answer:

Answer:

r=14cm

Step-by-step explanation:

Curved Surface area of a cylinder=484cm²

Height=5.5cm

r=?

Curved Surface Area=2πrh

484=2×3.142×r×5.5

484=34.56r

r=484/34.56

r=14cm

Answer 2

Answer:

Answer:

radius= 14

Step-by-step explanation:

curved surface area of cylinder = 484

height = 5.5

C.S.A = 2πrh

or, 484 = 2×22/7×r×5.5

or, 484×7 = 2×22/7×5.5×r

or, 3388 = 242×r

or, 3388/242 = r

or, 14 = r

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The total operating cost for the truck is $400 000 per year. The percentage breakdown of this total amount was:40%: Fixed costs (insurance, registration, wages)
30%: Fuel
20%: Finance
10%: Maintenance (service, repairs, tyres)

Suppose the fuel price increases from $1.50 to $1.60 per litre.

How much does this add to the total operating cost per year?

Answers

30% x 400,000 = 120,000
1.5 -> 1.6 = 6.6666667% increase.

120,000 x 1.06666667 = 128,000

Therefore the new operating cost is 128,000 + 280,000 or $408,000.

Can someone please help me on this math chart and graph above I’ve already posted 3 pictures of it and no one is answering :( I’ll mark as brainliest if you answer. Picture is above thank you.

Answers

the function is x^2-9, so all you have to do is replace x with a number. for example, 2.

so 2^2-9 is -5. the plot would be 2, -5. basically, plug in a number to be the x coord, and whatever number you get will be your y coord.

after you graph a few plots (doing the same thing above), draw a line through all of them.

if the line goes up towards the right top corner, it's increasing. if it goes down the right bottom corner, it's decreasing.

Evaluate x²-6x when x=3-i.

Answers

Answer:

Step-by-step explanation:

We are going to substitute x = 3 - i into the expression x² - 6x

* Remember than i² = (√-1)² = -1. so when we multiply and get i² we're going to transform it into -1.*

⇒ $x^2-6x = (3 - i)^2 - 6 (3-i) = 9 - 6i+i^2 -18+6i\n=9 - 6i-1-18+6i\n=-10$

Thus, x² - 6x = 10 when x = 3-i

lalo has 1500 minutes per month on his cell phone plan. how many more minutes can he use if he has already talked for 785 minutes?

Answers

Answer:

Lalo can talk for 715 minutes more in that month if he has already talked for 785 minutes.

Step-by-step explanation:

Total number of minutes per month lalo has on his cell phone plan = 1500

Number of minutes he has already talked in that month = 785

Number of minutes available to talk = total number of minutes he has - total number of minutes he has already used.

= 1500 - 785

= 715 minutes.

Thus, Lalo can talk for 715 minutes more in that month if he has already talked for 785 minutes.

All you have to do is subtract 1500-785 in order to find the number of minutes left for him.
1500-785=715 more minutes left

Alan has scored 99, 85, and 74 on his previous three tests. What score does he need on his next test so that his average (mean) is 83?

Answers

(99+85+74+x)/4=83
multiply both by 4
99+85+74+x= 332
258+x=332
subtract 258 both sides
x= 74

He must get a 74.

To check answer:
99+85+74+74= 332
332/4 = 83

It’s right!

Hope it helps

Debra got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 19 cents per yard. If after that purchase there was $12.72 left on the card, how many yard of ribbon did Debra buy?