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GrogVix [38]
3 years ago
9

The cone shown below has a diameter of 18 centimeters and a height of 12 centimeters. What is the volume of the cone

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

Answer:

V = 1017.88 cm²

Step-by-step explanation:

V=\pi r^{2} \frac{h}{3}     Use the equation for volume of a cone and use 9 as the radius

V=\pi 9^{2} \frac{12}{3}    Simplify the exponent and divide

V=\pi (81)(4)     Multiply

V = 1017.88 cm²

If this answer is correct, please make me Brainliest!

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Step-by-step explanation:

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Given an exponential function for compounding interest, A(x) = P(.91)^x, what is the rate of change?
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Use basic trigonometric identities to simplify the expression: sin (-x) cos (-x) csc (-x) =?
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Answer:

sin (-x) cos (-x) csc (-x) =cos(x)

Step-by-step explanation:

We know by definition that the cosine is an even function, therefore

cos (-x) = cos (x)

We also know that the sin is an odd function, therefore

sin (-x) = -sin (x)

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Using these trigonometric properties we can simplify the expression

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Find the simple interest on 7,200 at 3/4% for 5 years​
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Answer:

$7474.08

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<u> </u>

<u>Algebra I</u>

Simple Interest Rate Formula: \displaystyle A = P(1 + r)^t

  • A is final amount
  • P is principle (initial) amount
  • r is rate
  • t is time (in years)

Step-by-step explanation:

<u>Step 1: Define</u>

P = 7200

r = 0.75% = 0.0075

t = 5

<u>Step 2: Solve for </u><em><u>A</u></em>

  1. Substitute in variables [Simple Interest Rate Formula]:                               \displaystyle A = 7200(1 + 0.0075)^5
  2. (Parenthesis) Add:                                                                                          \displaystyle A = 7200(1.0075)^5
  3. Evaluate exponents:                                                                                       \displaystyle A = 7200(1.03807)
  4. Multiply:                                                                                                           \displaystyle A = 7474.08
7 0
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