Answer:
The answer to your question is Volume = 3.30 cm³
Step-by-step explanation:
Data
Volume = ?
height = 14.9 cm
circumference = 2.9 cm
Process
1.- Calculate the radius
circumference = 2πr
-Substitution
2.9 = 2πr
-Solve for r
r = 2.9/2π
r = 1.45/π cm
2) Calculate the volume of the cone
Volume = 1/3πr²h
-Substitution
Volume = 1/3π(1.45/π)²(14.9)
-Simplify
Volume = (1.04)(0.213)(14.9)
Volume = 3.30 cm³
To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.
<h3>Pythagorean Theorem</h3>
This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.
To calculate the base of the triangle, let's use Pythagorean theorem here
Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.
From the calculations above, the values of the triangle are
- diagonal = 7
- base = 3.61
- height = 6
Learn more on pythagorean theorem here;
brainly.com/question/231802
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Answer:
P(4≤x≤7) = 2/3
Step-by-step explanation:
We'll begin by obtaining the sample space (S) i.e possible outcome of rolling both dice at the same time. This is illustrated below:
1,1 1,2 1,3 1,4 1,5 1,6
2,1 2,2 2,3 2,4 2,5 2,6
3,1 3,2 3,3 3,4 3,5 3,6
4,1 4,2 4,3 4,4 4,5 4,6
5,1 5,2 5,3 5,4 5,5 5,6
6,1 6,2 6,3 6,4 6,5 6,6
Adding the outcome together, the sample space (S) becomes:
2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
6 7 8 9 10 11
7 8 9 10 11 12
Next, we shall obtain the event of 4≤x≤7. This is illustrated below:
4 5 6 7
4 5 6 7
4 5 6 7
4 5 6 7
4 5 6 7
4 5 6 7
Finally, we shall determine P(4≤x≤7). This can be obtained as follow:
Element in the sample space, n(S) = 36
Element in 4≤x≤7, n(4≤x≤7) = 24
Probability of 4≤x≤7, P(4≤x≤7) = ?
P(4≤x≤7) = n(4≤x≤7) / nS
P(4≤x≤7) = 24/36
P(4≤x≤7) = 2/3
The answer to that question is 62x ()//‘’::;;
Answer:
16 feet of fencing
Step-by-step explanation:
This equation is essentially asking us the perimeter of the fence. If you add 5+3+5+3 you get the sum of 16
