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exis [7]
3 years ago
13

A triangle and a horizontal line are shown. If the triangle is revolved about the horizontal line, what is the resulting object?

a triangle next to a horizontal line solid cylinder hollow cylinder solid cone hollow cone with truncated top
Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

d. solid cone

Step-by-step explanation:

Solid revolution is the general method used for revolving a given figure about a reference plane to produce a required solid. This process involves the generation of a 3 dimensional shape from a 2 dimensional figure.

A triangle is a three sided figure which generates a solid or hollow cone when it revolves about a given line. If the given triangle is made to revolve about the line, the resulting object would be a solid cone.

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find the area of a regular hexagon with an apothem 10.4 yards long and side 12 yards long. Round your answer to the nearest tent
OLga [1]

Answer:

The area of  a regular hexagon with an apothem 10.4 yards long and side 12 yards long is 124.80 yards²

Step-by-step explanation:

Given : A regular hexagon with an apothem 10.4 yards long and side 12 yards long.

We have to find the area of a regular hexagon with an apothem 10.4 yards long and side 12 yards long.  

Since, the Given hexagon is a regular hexagon.

So, each side make equal angle with mid point.

Thus, Area of each triangle = \frac{1}{2} \times base \times height

base = 12 yards

height = 10.4 yards.

Thus, Area of each triangle = \frac{1}{2} \times 12 \times 10.4=62.4

Since, there are 6 triangles.

so area of hexagon = 6 × Area of triangle

area of hexagon = 6 × 62.4 = 124.8 yards²

Thus, The area of  a regular hexagon with an apothem 10.4 yards long and side 12 yards long is 124.80 yards²

4 0
3 years ago
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Reece is putting in a circular pool in his backyard. Th
pishuonlain [190]

Answer:

Step-by-step explanation:

we have to find out the circumference of the pool

C=2*3.14*r

d=36,   r=18

C=2*3.14*18=113.04 ft

3 0
3 years ago
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If sine theta almost-equals 0. 3090 , what is the approximate value of csc Theta? 0. 5559 1. 3090 3. 2362 10. 4733.
Sedaia [141]

Reciprocal of trigonometric ratios are also trigonometric ratios. The approximate value of csc(θ) for the corresponding given value of sin(θ) is given by: Option: C: 3.2362

<h3>What are the six trigonometric ratios?</h3>

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\

Thus, we see that \sin(\theta) = \dfrac{1}{\csc{\theta}} for a specific angle θ, we get:

Actually, reciprocal of each trigonometric ratio will be a trigonometric ratio, for specific angle.

For the considered case, we're given that,

\sin(\theta) \approx 0.3090

\sin(\theta) = \dfrac{1}{\csc(\theta)}\\\\\csc(\theta) = \dfrac{1}{\sin(\theta)} \approx\dfrac{1}{0.3090} \approx 3.2362

Thus, the approximate value of csc(θ) for the corresponding given value of sin(θ) is given by: Option: C: 3.2362

Learn more about trigonometric ratios here:

brainly.com/question/22599614

4 0
3 years ago
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The ages, in years, of children at a birthday party, are 4, 7, 8, 2, 9, 6, 5, 5, 9, 7, 8. What is the median age?
sveticcg [70]

Answer:

The median age is 7.

Step-by-step explanation:

2, 4, 5, 5, 6, <u>7</u>, 7, 8, 8, 9, 9,

First you put the numbers in the right numerical order. Then you find the the middle/central number out of all the numbers in the numerical data set in order to find the median.

Hope you found this helpful! :)

6 0
3 years ago
I MESSED UP BEFORE BUT 14 POINTS HELP PLZ
FromTheMoon [43]

Answer:

The mistake was dividing by 2 when he should have divided by -2!

Step-by-step explanation:

x=-4

7 0
4 years ago
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