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Paha777 [63]
3 years ago
7

Show the numbers 0.29,0.2,1/4,1/10,and 16% from least to greatest

Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0
1/10, 16%, 0.2, 1/4, 0.29
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What is the volume of this cone?
olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius.  That gives us  1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length.  We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length.  You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

a^2 = b^2 + c^2

So we can find the height of the cone with that:

10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx  7.9

Now that we have the cone's height, we can solve for its volume:

v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2  \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3

5 0
3 years ago
Read 2 more answers
Use inductive reasoning to predict the next three numbers in the pattern.
Mademuasel [1]

The next three numbers in the pattern would be 768, -3072, 12,288.

<h3>What are the next three numbers?</h3>

Looking at the given sequence, it can be seen that the numbers increase by a multiple of 4.

-12 /3 = 4

48 / 12 = 4

192 / 48 = 4

The next three numbers would be:

192 x 4 = 768

768 x 4 = 3072

3072 x 4 =  12,288.

Examining the numbers, it can be seen that the positive and negative signs alternate. Thus, the numbers would be : 768, -3072, 12,288.

To learn more about mathematical sequence, please check: brainly.com/question/26578277

#SPJ1

4 0
1 year ago
Solve the equation. 9a = 81 what does a equal
Svetlanka [38]

Answer:

a=9

divide 81 by 9 on both sides and you get 9.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Multiply<br><br> Which one ??? Please help
vladimir1956 [14]

Answer:

The 3rd one again

Step-by-step explanation:

(a+−2)(8a^{2}+−5a+3)

=(a)(8a^{2})+(a)(−5a)+(a)(3)+(−2)(8a^{2})+(−2)(−5a)+(−2)(3)

=8a^{3}−5a^{2}+3a−16a^{2}+10a−6

=8a^{3}−21a^{2}+13a−6

hope this helped:)

7 0
3 years ago
What is 9 + t/12 = -3
klemol [59]
9 + t/12 = -3

t/12 = -12

t = -144

hope this helps
3 0
3 years ago
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