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2 years ago

If a cylindrical vessel is 12 cm long and its surface area is 540 cm2, set up an

Mathematics

1 answer:

velikii [3]2 years ago

7 0

Answer:

Option (1)

Step-by-step explanation:

Surface area of a cylindrical vessel is given by the expression,

Surface area = $2\pi r^{2}+2\pi rh$

= $2\pi r(r+h)$

Here, r = Radius of the vessel

h = Length of the vessel

By substituting the values of 'h' and surface area in the expression,

2πr(12 + h) = 540

Therefore, Option (1) will be the correct option.

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I need to find the least common denominator of x+2/x^2+2x-3 , x-7/x^2+5x+6

grin007 [14]

Answer:

(x + 3)(x - 1)(x + 2)

Step-by-step explanation:

The fractions are:

$\dfrac{x + 2}{x^{2} + 2x - 3} \text{ and } \dfrac{x - 7}{x^{2} + 5x + 6}$

Factor each denominator

$x^{2} + 2x - 3 = (x + 3)(x - 1)\\x^{2} + 5x + 6 = (x + 3)(x + 2)$

We must find the least common multiple of the denominators. We take the maximum power of each separate factor.

Factors of first fraction = (x + 3) × (x - 1)

Factors of second fraction = (x + 3) × (x + 2)

LCM = (x + 3)(x - 1)(x + 2)

The lowest common denominator of the two fractions is (x + 3)(x - 1) (x + 2).

4 0

3 years ago

Question 2

svetoff [14.1K]

Answer:

A: 37/41

Step-by-step explanation:

<u>We can observe that:</u>

The difference of the second and third numbers is equal to 17
The difference of the first and fourth numbers is equal to 13

<u>Therefore the missing pair will be:</u>

20+17 = 37 and 28 + 13 = 41

Correct choice is A

3 0

3 years ago

Damon borrowed $1,950 for two years. The total amount he repaid was

Rina8888 [55]

C is the awnser to that question

6 0

2 years ago

Xy = –16. What is the constant of variation for this relationship?

olganol [36]

Direct variation is y=kx and inverse variation is y=k/x, in this case:

y=-16/x

So this is an inverse variation with a constant of -16

6 0

3 years ago

2 fractions have the same denominator. Which is the greater fraction: the fraction with the greater numerator or thr lesser nume

irinina [24]

If two fractions have the same denominator, that means the total number of parts is the same. For example, you have two batches of cookies, which each have 8 cookies.

But the numerator tells you the number of parts you are dealing with. Going back to our cookie example, say you ate 3 cookies and your little brother only had 1. If you ate 3 cookies, you ate 3/8 of the cookies. Your little brother ate 1/8 of the cookies.

So, which one is the greatest fraction? In this case, who had more cookies? That would be you. So, the greater numerator means a greater fraction.

Answer: the fraction with the greater numerator

5 0

3 years ago