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3 years ago

Please help me with this

Mathematics

1 answer:

anastassius [24]3 years ago

7 0

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

radius = 12 ft

Circumference = ?

Process

The Circumference is the length of the border of a circle. To find the length of this border, just use the formula, substitute the radius and pi and simplify.

Formula

Circumference = 2πr

Substitution

Circumference = 2(3.14)(12)

Simplification

Circumference = 75.36 cm

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3 years ago

Given that $x \le -7,$ identify all the correct conclusions. (A) $3x \le -21.$ (B) $3x \ge -21.$ (C) $-3x \le 21.$ (D) $-3x \ge

exis [7]

Answer:

Options A and D are correct choices.

Step-by-step explanation:

We have been given an inequality $x\leq -7$ and we are asked to find the correct options from our given choices.

Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.

(A) $3x\leq -21$

$x\leq \frac{-21}{3}$

$x\leq -7$

We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.

(B) $3x\geq -21$

$x\geq \frac{-21}{3}$

$x\geq -7$

This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.

Dividing inequality by a negative number swaps inequality sign.

$x\geq \frac{21}{-3}$

$x\geq -7$

This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.

(D) $-3x\geq 21$

Dividing inequality by a negative number swaps inequality sign.

$x\leq \frac{21}{-3}$

$x\leq -7$

We can see that option D gives the same answer as our given inequality, therefore, option D is the correct choice.

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3 years ago

What is the domain of y=4sin(x)?

stealth61 [152]

Answer:

( − ∞ , ∞ ) { x | x ∈ R }

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

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3 years ago

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alina1380 [7]

Answer:

Step-by-step explanation:

-3 4/5 is a small number than -3 1/5 because it is a greater negative number, which means it is farther away from 0 on a number line Ex:

5 4 3 2 1 0 -1 -2 -3 -4 -5

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3 years ago

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raketka [301]

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3 years ago