1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleks04 [339]
3 years ago
9

Find the volume of a right circular cone that has a height of 12.7 m and a base with a circumference of 18.9 m. Round your answe

r to the nearest tenth of a cubic meter.
Mathematics
1 answer:
Maslowich3 years ago
5 0

Answer:

119.64m^3

Step-by-step explanation:

Given that

The height is 12.7 m

And the base with the circumference is 18.9 m

We need to find out the volume of the right circular cone

As for determining it first compute the radius

As we know that

Circumference = 2πr

18.9 = 2 × 3.14 × r

r = 3m

Now the volume is

= 1 ÷ 3πr^2h

= 1 ÷ 3 × 3.14 × 3^2 × 12.7

= 119.64m^3

You might be interested in
Emay ears $15 for each car she washes. Create an equation to represent the relationship between the number of cars
emmasim [6.3K]

Answer:

$25

Step-by-step explanation:

8 0
3 years ago
Two experiments are defined below. An event is defined for each of the experiments. Experiment I: Corrine rolls a standard six-s
-BARSIC- [3]

Answer: The correct answer is option C: Both events are equally likely to occur

Step-by-step explanation: For the first experiment, Corrine has a six-sided die, which means there is a total of six possible outcomes altogether. In her experiment, Corrine rolls a number greater than three. The number of events that satisfies this condition in her experiment are the numbers four, five and six (that is, 3 events). Hence the probability can be calculated as follows;

P(>3) = Number of required outcomes/Number of possible outcomes

P(>3) = 3/6

P(>3) = 1/2 or 0.5

Therefore the probability of rolling a number greater than three is 0.5 or 50%.

For the second experiment, Pablo notes heads on the first flip of a coin and then tails on the second flip. for a coin there are two outcomes in total, so the probability of the coin landing on a head is equal to the probability of the coin landing on a tail. Hence the probability can be calculated as follows;

P(Head) = Number of required outcomes/Number of all possible outcomes

P(Head) = 1/2

P(Head) = 0.5

Therefore the probability of landing on a head is 0.5 or 50%. (Note that the probability of landing on  a tail is equally 0.5 or 50%)

From these results we can conclude that in both experiments , both events are equally likely to occur.

3 0
3 years ago
Label each triangle
Ne4ueva [31]

Answer: Top right and left are ACUTE, Bottom right is RIGHT, and bottom left is OBTUSE.

4 0
3 years ago
Read 2 more answers
A community in texas with a population of less than 5,000 residents may become which type of municipality?.
enyata [817]

Answer:

Some cities and towns are called municipali- ties. If a city government incorporates by citizen request, it is considered a municipal govern- ment. Cities in Texas operate under one of two types of law—general law or home rule. Small cities with populations of less than 5,000 may incorporate as a general-law city.

7 0
2 years ago
Implicit differentiation Please help
Anvisha [2.4K]

Answer:

y''(-1) =8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Factoring

<u>Calculus</u>

Implicit Differentiation

The derivative of a constant is equal to 0

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Product Rule: \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)

Chain Rule: \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Quotient Rule: \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}

Step-by-step explanation:

<u>Step 1: Define</u>

-xy - 2y = -4

Rate of change of the tangent line at point (-1, 4)

<u>Step 2: Differentiate Pt. 1</u>

<em>Find 1st Derivative</em>

  1. Implicit Differentiation [Product Rule/Basic Power Rule]:                            -y - xy' - 2y' = 0
  2. [Algebra] Isolate <em>y'</em> terms:                                                                               -xy' - 2y' = y
  3. [Algebra] Factor <em>y'</em>:                                                                                       y'(-x - 2) = y
  4. [Algebra] Isolate <em>y'</em>:                                                                                         y' = \frac{y}{-x-2}
  5. [Algebra] Rewrite:                                                                                           y' = \frac{-y}{x+2}

<u>Step 3: Find </u><em><u>y</u></em>

  1. Define equation:                    -xy - 2y = -4
  2. Factor <em>y</em>:                                 y(-x - 2) = -4
  3. Isolate <em>y</em>:                                 y = \frac{-4}{-x-2}
  4. Simplify:                                 y = \frac{4}{x+2}

<u>Step 4: Rewrite 1st Derivative</u>

  1. [Algebra] Substitute in <em>y</em>:                                                                               y' = \frac{-\frac{4}{x+2} }{x+2}
  2. [Algebra] Simplify:                                                                                         y' = \frac{-4}{(x+2)^2}

<u>Step 5: Differentiate Pt. 2</u>

<em>Find 2nd Derivative</em>

  1. Differentiate [Quotient Rule/Basic Power Rule]:                                          y'' = \frac{0(x+2)^2 - 8 \cdot 2(x + 2) \cdot 1}{[(x + 2)^2]^2}
  2. [Derivative] Simplify:                                                                                      y'' = \frac{8}{(x+2)^3}

<u>Step 6: Find Slope at Given Point</u>

  1. [Algebra] Substitute in <em>x</em>:                                                                               y''(-1) = \frac{8}{(-1+2)^3}
  2. [Algebra] Evaluate:                                                                                       y''(-1) =8
6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the length of the apothem of a regular Pentagon with a side measuring 36 cm
    10·1 answer
  • Help with 7-12 please!​
    9·1 answer
  • A rectangular prism has a width of 16 inches and a length of 10 inches. The volume of the rectangular prism is decreasing at a r
    7·1 answer
  • Use Euler's Formula to find the missing number. vertices:14 Edges:36 Faces:?
    7·2 answers
  • If you run 3 miles per day, how many total miles would you run in x days?
    6·1 answer
  • Equation parallel to 3x+2y=-10. (-9,-2)
    14·2 answers
  • 1.
    9·1 answer
  • Identify the correlation in the scatterplot.
    7·2 answers
  • You are purchasing drywall for a remodeling job. Mike’s Drywall charges a delivery fee of $25 and charges $10 per
    12·1 answer
  • Plz answer this is very important
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!