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2 years ago

The cone to the right has a height of 11 in. and a volume of

Mathematics

1 answer:

Contact [7]2 years ago

8 0

Answer:

2.99924 in

Step-by-step explanation:

Volume of a cone

V = pi x r^2 x h/3

So to solve this problem you plug in the number we already have which is the volume and the height

103.62 = pi x r^2 x 11/3

28.26 = pi x r^2

28.26/pi = r^2

$\sqrt{\frac{28.26}{\pi } }$ = r ≈ 2.99924

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How do you solve a-9/a3

Klio2033 [76]

Is it this?
$\frac{a - 9}{a3}$
If so, then
$\frac{a - 9}{a3} = 0 \\ \frac{a}{a3} - \frac{9}{a3} = 0 \\ \frac{1}{3} - \frac{9}{a3} \\ \frac{1}{3} = \frac{9}{a3} \\ 3( \frac{1}{3} ) = 3( \frac{9}{a3} ) \\ 1 = \frac{9}{a} \\ a = 9$

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3 years ago

Heidi must correctly answer at least 80% of the questions on an exam to advance to the next

Oduvanchick [21]

Given:
must correctly answer 80% of the questions
correctly answered questions = 26
incorrectly answered questions = 4
unanswered questions = 15

Total questions = 26 + 4 + 15 = 45

45 * 80% = 36 required correctly answered questions.

36 - 26 = 10

Out of 15 remaining questions, 10 questions must be correctly answered for Heidi to advance to the next level.

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3 years ago

The student council at Spend too much High School is planning a school dance. The table below shows the budget for the dance.

Pie

The dance would /cost/ the school 50 dollars, making the profit -50. The dance tickets make 300, and the DJ takes away 250, making a 50 profit. However, the decorations cost 100, taking away that from 50, making -50.

4 0

3 years ago

827 divided by 1120

KiRa [710]

It can be the last one, 827 over 1120

Hope that helps

4 0

3 years ago

Read 2 more answers

The sum of the first three terms of a sequence is 6 and the fourth term is 16

Sati [7]

Answer:

a₁ = -5, d = 7, a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence: $\boxed{\bold{a_n=7n-12}}$

Step-by-step explanation:

a₁ + a₂ + a₃ = 6

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2 ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7 ⇒ a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

$a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}$

6 0

3 years ago