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3 years ago

What 3-dimensional shape is formed when the right triangle ABC is rotated 360° about its side AC?

Mathematics

2 answers:

Andru [333]3 years ago

6 0

The answer to your question would be a cone

Alexxandr [17]3 years ago

3 0

When a triangle ABC is rotated by 360° by it's side AC having angle ∠C=90°, we get the shape of a cone.

If ∠B=90°, then the right triangle ABC is rotated 360° about its side AC we get the shape of a Two cones attached with each other.

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A visitor is staying in a cabin that is 3 miles west of the closest point on a shoreline to a coral reef. The coral reef is 2 mi

charle [14.2K]

Answer:

3.6miles

Step-by-step explanation:

Given:

distance of tent from the closest point on shore-line, d=3miles.

distance between shoreline point and coral reef, x=2miles

The shortest distance (say l) that the visitor runs towards the reef in order to swim a minimum distance which takes least time.

$\therefore l^2=d^2+x^2\\l=\sqrt{3^2+3^2} \\l=3.6\ miles$

Now on reaching at the shore at this point the visitor will have to swim the least distance due east to reach coral reef.

7 0

4 years ago

K is an example of what

Rashid [163]

What is the context?

6 0

4 years ago

Quadratic Functions Helppp please!!! questions attached below

OleMash [197]

Answer:

Q 30) x = -3 or x = 12.

Q 31) x = 1 or x = 2.

Q 32) x = -1/2 or x = 8.

Q 33) x = 2/5 or x = 3.

Q 34) x = 1.80424764151 or x = -0.5542476415.

Q 35) x = 1.5 or x = -1/3.

Step-by-step explanation:

Q 30)

x^2 - 9x - 36 = 0.

Solving by factoring:

Multiplying 1 and 36 yields 36. The factors whose difference results in 9 are 12 and 3. Therefore:

x^2 - 12x + 3x - 36 = 0.

x(x - 12) + 3(x - 12) = 0.

(x + 3)(x - 12) = 0.

Either x + 3 = 0 or x - 12 = 0.

Therefore, x = -3 or x = 12.

Q 31)

x^2 - 3x + 2 = 0.

Solving by factoring:

Multiplying 1 and 2 yields 2. The factors whose sum results in 3 are 2 and 1. Therefore:

x^2 - 2x - x + 2 = 0.

x(x - 2) - 1(x - 2) = 0.

(x - 1)(x - 2) = 0.

Either x - 1 = 0 or x - 2 = 0.

Therefore, x = 1 or x = 2.

Q 32)

2x^2 - 15x - 8 = 0.

Solving by factoring:

Multiplying 2 and 8 yields 16. The factors whose difference results in 15 are 16 and 1. Therefore:

2x^2 - 16x + x - 8 = 0.

2x(x - 8) + 1(x - 8) = 0.

(2x + 1)(x - 8) = 0.

Either 2x + 1 = 0 or x - 8 = 0.

Therefore, x = -1/2 or x = 8.

Q 33)

5x^2 - 17x + 6 = 0.

Solving by factoring:

Multiplying 5 and 6 yields 30. The factors whose sum results in 17 are 15 and 2. Therefore:

5x^2 - 15x - 2x + 6 = 0.

5x(x - 3) - 2(x - 3) = 0.

(5x - 2)(x - 3) = 0.

Either 5x - 2 = 0 or x - 3 = 0.

Therefore, x = 2/5 or x = 3.

Q 34)

4x^2 - 5x - 4 = 0.

Solving by completing the square:

4x^2 - 5x = 4.

x^2 - 5x/4 = 1.

(x)^2 - 2*(x)*(5/8) + (5/8)^2 = 1 + (5/8)^2.

(x - 5/8)^2 = 1 + 25/64.

(x - 5/8)^2 = 89/64.

x - 5/8 = ±1.17924764151.

x - 5/8 = 1.17924764151 or x - 5/8 = -1.17924764151.

Therefore, x = 1.80424764151 or x = -0.5542476415.

Q 35)

6x^2 - 7x - 3 = 0.

Solving by quadratic formula:

x = (-b ± √(b^2 - 4ac))/2a.

a = 6, b = -7, and c = -3.

x = (-(-7) ± √((-7)^2 - 4*(6)*(-3)))/2(6).

x = (7 ± √(49 + 72))/12.

x = (7 ± √(121))/12.

x = (7 ± 11)/12.

x = (7 + 11)/12 or x = (7 - 11)/12.

x = 18/12 or x = -4/12.

Therefore, x = 1.5 or x = -1/3.

In summary:

Q 30) x = -3 or x = 12!!!

Q 31) x = 1 or x = 2!!!

Q 32) x = -1/2 or x = 8!!!

Q 33) x = 2/5 or x = 3!!!

Q 34) x = 1.80424764151 or x = -0.5542476415!!!

Q 35) x = 1.5 or x = -1/3!!!

5 0

4 years ago

A timeline. 27 B C E to 180 C E PAX ROMANA. 44 B C E The Roman Empire was founded. 80 C E The Colosseum was built. 121 C E Hadri

VARVARA [1.3K]

Answer:

the answer is 41

Step-by-step explanation:

7 0

4 years ago

Twenty-five decreased by one fifth of a number is 18. Find the number.

BaLLatris [955]

Answer:

Step-by-step explanation:

You have to work backwards, you find what 25-18 is (7)

7 is a fifth of the number you are looking for

so all you have to do is 7 x 5 and you get 35

5 0

3 years ago

Read 2 more answers