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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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If you drive 8 miles south then make a left turn and drive 6 miles east how far are you in a straight line from your starting po

olganol [36]

Answer:

10 miles

Step-by-step explanation:

d=√8²+6²=√100= 10 miles

4 0

3 years ago

3. The circumference of a circle is 607 cm. What is the diameter of the circle?

steposvetlana [31]

Answer:

the circumference is 30 cm,

Step-by-step explanation:

Hope it helps

8 0

2 years ago

Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

<u>ANSWER</u>

${r}^{2} = 4 \cos2\theta$

<u>EXPLANATION</u>

The Cartesian equation is

${( {x}^{2} + {y}^{2} )}^{2} = 4( {x}^{2} - {y}^{2} )$

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

${x}^{2} + {y}^{2} = {r}^{2}$

This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

Apply the double angle identity

$\cos^{2}\theta -\sin^{2}\theta= \cos(2 \theta)$

The polar equation then becomes:

${r}^{2} = 4 \cos2\theta$

7 0

3 years ago

PLEASEEEEE HELPPPPPPP

Vesnalui [34]

1) We are given points on the line of the graph (0,3) and (1,1).

Rise/run represents the slope of the line.

Rise/run = -2/1 = -2.

Therefore, slope of the line is -2.

<h3>Correct option is A) -2 .</h3>

2) Given equation y=7.5x-5.

From the graph we can see that line crosses x-axis at 0.667.

But we don't find any such option.

But we can see line crossing y-axis is -5.

It seems that we need to find the point where line cut y-axis.

<h3>Therefore, correct option is C option.</h3><h3>C) - 5</h3>

6 0

3 years ago

Jamiyah and Samantha went to a grocery store and purchased a bag of 15 apples. Let x represent the Jamiyah’s portion of the appl

belka [17]

Answer:

xy=15

Step-by-step explanation:

3 0

3 years ago