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3 years ago

2. An isosceles right triangle whose legs are 6 is rotated about one of its legs to generate a

Mathematics

1 answer:

kodGreya [7K]3 years ago

8 0

Answer:

72π

Step-by-step explanation:

The computation of the volume of the cone is shown below:

Here The radius of the base is one of the legs, therefore it is 6.

And, The height of the cone represent the other leg, therefore it is also 6.

Now as we know that

The volume of the cone is

= 1 ÷ 3 πr^2h

= 1 ÷ 3π 6^2 6

= π × 36 × 2

= 72π

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Use the given pair of functions to find and simplify expressions for the following functions and state the domain of each using

Tamiku [17]

Answer:

Given functions,

$f(x) = 3 - x^2$

$g(x) = \sqrt{x}+1$

Since, by the compositions of functions,

1. (g◦f)(x) = g(f(x))

$=g(3-x^2)$

$=\sqrt{3-x^2}+1$

Since, (g◦f) is defined,

If 3 - x² ≥ 0

⇒ 3 ≥ x²

⇒ -√3 ≤ x ≤ √3

Thus, Domain = [-√3, √3]

2. (f◦g)(x) = f(g(x))

$=f(\sqrt{x}+1)$

$=3-(\sqrt{x}+1)^2$

Since, (g◦f) is defined,

If x ≥ 0

Thus, Domain = [0, ∞)

3. (f◦f)(x) = f(f(x))

$=f(3-x^2)$

$=3-(3-x^2)^2$

$=3-9-x^4+6x^2$

$=-6+6x^2-x^4$

Since, (f◦f) is a polynomial,

We know that,

A polynomial is defined for all real value of x,

Thus, Domain = (-∞, ∞)

8 0

3 years ago

Sunday by 11:59pm

beks73 [17]

Answer:

The amount of markup is 88 dollars.

Step-by-step explanation:

Given that the whole sale price of bicycle is: $400

$P = \$400$

Mark up is the profit that the seller of the product makes after selling the product more in price more than its cost or buying price.

Given that mark up percentage is 22%

It can be written mathematically as:

$Mark\ up = 22\%\ of\ Price\\Mark\ up = 0.22 * P\\Mark\ up = 0.22 * 400\\= \$88$

Hence,

The amount of markup is 88 dollars.

7 0

3 years ago

Solve the equation.-7=y/7

ad-work [718]

Answer:

y = -49

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-7 = y/7

Step 2: Solve for y

Multiply 7 on both sides: -49 = y
Rewrite: y = -49

7 0

3 years ago

What is the place value of 2 in the number 34277

rjkz [21]

Answer:

Hundreds

Step-by-step explanation:

Refer to the underlined numbers:

34277 - 7 is in the ones place

34277 - The second 7 is in the tens place

34277 - 2 is in the hundreds place

34277 - 4 is in the thousands place

34277 - 3 is in the ten thousands place

3 0

3 years ago

Read 2 more answers

Please help me out ASAP

sesenic [268]

Answer:

$26^9$

Step-by-step explanation:

$26^1 *26 ^8\\=26^{1+8} \\=26^{9}$

8 0

3 years ago