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4 years ago

HELP WITH THIS QUESTION, ASAP!

Mathematics

1 answer:

aksik [14]4 years ago

8 0

Answer:

First choice:

$\large\boxed{\large\boxed{h=\frac{3V}{784\pi};21cm}}$

Explanation:

1. Formula for the volume of a cone (given)

$V=\frac{1}{3} (28^2)\pi h$

2. Identify the inverse of this function

Solve for h:

$3V=(28)^2\pi h\\ \\ \frac{3V}{(28)^2\pi}=h\\\\h=\frac{3V}{(28)^2\pi}\\\\h=\frac{3V}{784\pi}$

3. Find the height of the cone, if its volume is 5488πcm³

Subsititue V with 5488π

$h=\frac{3(5488\pi cm^3)}{784\pi cm^2}\\\\h=21cm$

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Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return tr

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4 years ago

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3 years ago

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telo118 [61]

Answer:

$\displaystyle x=\frac{-1 \pm i\sqrt{535}}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Multiple Roots
Standard Form: ax² + bx + c = 0
Quadratic Formula: $\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

Algebra II

Imaginary Root i = √-1

Step-by-step explanation:

Step 1: Define

Identify

2x² + x + 67 = 0

a = 2

b = 1

c = 67

Step 2: Solve for x

Substitute in variables [Quadratic Formula]: $\displaystyle x=\frac{-1 \pm \sqrt{1^2-4(2)(67)}}{2(1)}$
Multiply: $\displaystyle x=\frac{-1 \pm \sqrt{1^2-4(2)(67)}}{2}$
[√Radical] Evaluate exponents: $\displaystyle x=\frac{-1 \pm \sqrt{1-4(2)(67)}}{2}$
[√Radical] Multiply: $\displaystyle x=\frac{-1 \pm \sqrt{1-536}}{2}$
[√Radical] Subtract: $\displaystyle x=\frac{-1 \pm \sqrt{-535}}{2}$
[√Radical] Simplify: $\displaystyle x=\frac{-1 \pm i\sqrt{535}}{2}$

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