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Sliva [168]
3 years ago
14

If a triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1) is rotated about the line x = 1, what will be the r

esulting three-dimensional object?

Mathematics
2 answers:
trasher [3.6K]3 years ago
6 0

Answer:

the answer i A

Step-by-step explanation:

Alik [6]3 years ago
5 0

Answer:

The resulting three-dimensional object will be a cone

Step-by-step explanation:  

Plot the figure to better understand the problem'

we have

a triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1)

The draw in the attached figure

we know that

When rotating a a right triangle about a leg, the three dimensional figure formed is a cone

The radius of the cone will be equal to the base of right triangle and the height of the cone will be equal to the height of the triangle

so

The radius of the cone will be equal to 2 units and the height of the cone will be 3 units

see the attached figure to better understand the problem

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Mrac [35]

Answer:

m =  \dfrac{3}{4}

Step-by-step explanation:

We would like to find the <u>s</u><u>l</u><u>o</u><u>p</u><u>e</u><u> </u> of the line of the given equation .

\longrightarrow y =\dfrac{3}{4}x -1

We know that <u>s</u><u>l</u><u>o</u><u>p</u><u>e</u><u> </u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u> </u><u>f</u><u>o</u><u>r</u><u>m</u><u> </u> of the line is given by ,

\longrightarrow y = mx + c

where ,

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Now we can compare the given equation with the slope intercept form to find the slope . You will see that 3/4 is present at the place of m .Therefore ,

\longrightarrow \underline{\underline{m=\dfrac{3}{4}}}

Hence <u>o</u><u>p</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>C</u><u> </u> is correct choice .

4 0
2 years ago
The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulti
Sholpan [36]

Answer:

5/9

Step-by-step explanation:

Let the denominator be x and numerator be y.

Given, numerator is 4 less than denominator

=> y = x - 4 ...(1)

When 5 is added to both:

Numerator = y + 5 , and, denominator = x + 5

Now their ratio is 5/7.

=> (y + 5)/(x + 5) = 5/7

=> 7(y + 5) = 5(x + 5)

=> 7y + 35 = 5x + 25

=> 7y - 5x = 25 - 35

=> 7(x - 4) - 5x = -10 {y=x-4}

=> 7x - 28 - 5x = -10

=> 2x = 18

=> x = 9

Thus,

Fraction is y/x = (x-4)/x = (9-4)/9 = 5/9

4 0
3 years ago
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Ronch [10]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (- 4, 0)

m = \frac{0-8}{-4-0} = \frac{-8}{-4} = 2

6 0
3 years ago
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damaskus [11]
The answer should be 12
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3 years ago
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A planet's radius is approximately 1,534 mi. About two-thirds of the planet's surface is covered by water.
borishaifa [10]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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