If A ⊂ B, then<br><br> 1. A ∩ B = B<br> 2. A ∪ B = B<br> 3. A ∩ B = ∅

Find the area of the circle with the given radius or diameter. Use = 3.14. d = 10

valkas [14]

Formula for finding the area of a circle: $A = \pi r^2$
We need to radius but we only have the diameter.

Luckily for us, if you have the diameter, you have the radius.
Because the radius is the diameter over 2.

10 / 2 = 5

Plug in the values.

A = (3.14)5^2
A = (3.14)25
A = 78.5

So, the answer is 78.5.

5 0

3 years ago

Read 2 more answers

1 point) A computer retail store has 11 personal computers in stock. A buyer wants to purchase 3 of them. Unknown to either the

jekas [21]

Answer: 165 ways

Step-by-step explanation:

The process of selection is done by using the combination formula for selection. If given "n" items and we are to choose "r" items from this given "n", the formula to use is denoted by:

nCr. = n! /(n-r)! × r!

Where

n! = n * (n-1) * (n-2)... *3*2*1.

In this case the number of items given = 11

And the number of items to be chosen = 3,

Hence the number of ways to do this = 11C3= 11!/(11-3)! × 3!

=165 ways.

5 0

3 years ago

√8x^2 divided by √2x

Ghella [55]

Question: Simplify $\frac{\sqrt{8x^2}}{\sqrt{2x}}$ .

First off, you <em>never</em> want square roots on the bottom of a fraction, so let's multiply both sides by $\sqrt{2x}$ to get rid of it. All we have to do from there is simplify!

$\frac{\sqrt{8x^2}}{\sqrt{2x}}*\frac{\sqrt{2x}}{\sqrt{2x}}=\frac{\sqrt{8x^2}*\sqrt{2x}}{2x}}=\frac{\sqrt{16x^3}}{2x}=\frac{4x\sqrt{x}}{2x}=\boxed{2\sqrt{x}}$

7 0

3 years ago

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Select the correct answer. Consider these three numbers written in scientific notation: 6. 5 × 103, 5. 5 × 105, and 1. 1 × 103.

Karo-lina-s [1.5K]

Scientific notation uses expression which gives easy access of order. The greatest number is $5.5 \times 10^5$ .It is greater by smallest number by 500 times.

<h3>How to convert a number to scientific notation?</h3>

It is usually of the form $a.bc.. \times 10^k$ exponent of 10 starts)

(we have 1 ≤ |a| < 10 ) (where |a| is magnitude of a without sign)

This notation is used to get some idea of how large or small a number is in terms of power of 10.

<h3>What are some basic properties of exponentiation?</h3>

If we have $a^b$ base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

$a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}$

The given numbers are:

First number = $6.5 \times 10^3 = 6500$
Second number = $5.5 \times 10^5 = 550000$
Third number = $1.1 \times 10^3 = 1100$

The smallest number is 1,100 and greatest is 550,000

Getting the division to get to know how many times the greatest number is larger than the smallest number, we get:

$\dfrac{5.5 \times 10^5}{1.1 \times 10^3} = \dfrac{5.5 \times 10^{5-3}}{1.1} = \dfrac{5.5}{1.1} \times 10^2 = 5 \times 10^2 = 500$

Thus, it is found that greatest number is $5.5 \times 10^5$ . It is greater by smallest number by 500 times.

Learn more about scientific notation here:
brainly.com/question/3112062

6 0

3 years ago

Help 35 points, this is algebra 1 on system of equations and inequalities

Rama09 [41]

Answer:

idk how to do that try to slove it

but I didn't get right answer

4 0

3 years ago

If A ⊂ B, then 1. A ∩ B = B 2. A ∪ B = B 3. A ∩ B = ∅