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sladkih [1.3K]
2 years ago
6

Find the volume of a right circular cone that has a height of 18.6 m and a base with a radius of 15.5 m. Round your answer to th

e nearest tenth of a cubic meter.
Mathematics
1 answer:
ExtremeBDS [4]2 years ago
4 0

This one should have come before the other one. We apply the cone formula

V = \frac 1 3 \pi r^2 h

V = \frac 1 3 \pi(15.5)^2 (18.6) \approx 4679.6 \textrm{ cubic meters}

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Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En
ArbitrLikvidat [17]

Answer:

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, c) x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right), y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right).

Step-by-step explanation:

The equation of the circle is:

x^{2} + (y-1)^{2} = 16

After some algebraic and trigonometric handling:

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t

Where:

\frac{x}{4} = \cos t

\frac{y-1}{4} = \sin t

Finally,

x = 4\cdot \cos t

y = 1 + 4\cdot \sin t

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

c) x = 4\cdot \cos t'', y = 1 + 4\cdot \sin t''

Where:

4\cdot \cos t' = 0

1 + 4\cdot \sin t' = 5

The solution is t' = \frac{\pi}{2}

The parametric equations are:

x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right)

y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)

7 0
3 years ago
Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did
kiruha [24]

Answer:

The answer is D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The triangles are similar. what is the value of x? enter your answer in the box.
weqwewe [10]

Answer:

l*b*h is the answer of this question

8 0
2 years ago
The cost for x number of students to attend an after school sporting event can be represented bu the functon C(x). If C(124) = 5
lara [203]
Alright! Given that C(x) is Cost(Students) = 558, we can eliminate:

2. 558 students paid to attend the event.
5. The event generated $124 from student revenue.

Now, in order to find the cost per student we simply divide 124 on both sides:

\frac{C(124)}{124} =  \frac{558}{124}

124 cancels on the left and 558/124 is 4.5 or $4.50. 

Since we just determined the cost of one student, we can eliminate 3.

To check if 124 students paid, we simply add the cost to the equation and check:

4.5(124) = 558

558 = 558 √

It checks out, so we determined that both 1 and 4 are correct.
7 0
3 years ago
Story: The Escalator Ratio Task: Ty took the escalator to the second floor. The escalator is 12 meters long, and he rode the esc
agasfer [191]

Answer: True

Step-by-step explanation:

YES, HE TRAVELLED 2 METRES EVERY 5 SECONDS

PROOF:

TOTAL RIDE TIME = 30 SECONDS

Length of elevator = 12 METRES

Distance moved per second can be calculated by = (length of elevator / total ride time)

( 12 METRES / 30 seconds) = 0.4 metres per second

Therefore, distance covered in 5 seconds :

0.4 × 5 = 2 metres.

Hence, the proof

He traveled 2 meters ever 5 seconds

3 0
3 years ago
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