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muminat
3 years ago
12

the formula for the area of a circle is A pi r^2 what is the radius of a circle with an area of 400 pi cm^2

Mathematics
1 answer:
Bogdan [553]3 years ago
4 0

Answer: 20 cm

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain a variable.

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What is the value of the expression 2(×+4) -(y×8) A. 11/4 B. 65/2 C. 21/4 D. 27/4
geniusboy [140]

Answer:

27/4

Step-by-step explanation:

2x + 8 - 8y

2x - 8y + 8

2 * (1/8) - [ 8 * (3/16)] +8

(1/4) - (3/2) + 8

\frac{1 - 6 + 32}{4} = \frac{27}{4}

4 0
3 years ago
Is 9-8x=y proportional
andrew-mc [135]

Answer:

No, proportional relations are of the form,

y = mx

Step-by-step explanation:

The given equation is

9 - 8x = y

This is an equation in the form:

y = mx + c

since we can rewrite to get:

y =  - 8x + 9

This equation has a non-zero y-intercept and does not pass through the origin.

A proportional relation, will have a zero y-intercept and pass through the origin.

Therefore a proportional relation is of the form,

y = mx

5 0
4 years ago
List three words or phrases used in real life that indicate negative numbers.
Ipatiy [6.2K]
It's so cold today ... it's below zero.
Insufficient funds
I owe you ...
6 0
3 years ago
The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
3 years ago
Can you please help me? This is due soon
11Alexandr11 [23.1K]

Answer:

Michelle.

Step-by-step explanation:

<u>D'Andre's Bank Account: </u>

Remember to find the line, you need to use the formula y=mx+b. The m stands for slope while the b is the y-intercept. For D'Andre's y-intercept we can see that it's 0 and the slope is 2 (you can find it by doing rise/run). His equation is y = 2x.

To find how long it'll take him to get to $500, plug 500 into y: 500 = 2x

Divide by 2 on both sides: 250 = x

It'll take D'Andre 250 months to reach $500.

<u>Fiona's Bank Account:</u>

Unlike D'Andre's graph, she already has the equation, except that it isn't in the easiest form. To get it back to what it was, add 12x to the other side of the equation:

                                       y - 12x = 100**

                                         + 12x = +12x

                                      y =  12x + 100

**Just in case you didn't know, the 100 just means that's how much money she had started out with.

Plug in 500 for y: 500 = 12x +100

Subtract 100 from both sides: 400 = 12x

Divide by 12 to get x alone: 100/3 = x

It'll take Fiona about 33 months to reach $500.

<u>Sam's Bank Account:</u>

Sam has a table for his account, so we need to subtract some of the y coordinates to find his slope. Using 60 and 45 difference, we get 15. Looking at the table I can tell that is the slope because 15 is continually being added. To find his y - intercept, we need to look when his x coordinates was a 0. Therefore, his y-intercept is 60. His equation is y = 15x + 60

Plug in 500 for y: 500 = 15x + 60

Subtract 60 from both sides: 440 = 15x

Divide by 15 to get x by itself: 88/3 = x

It'll take Sam about 29 months to reach $500.

<u>Michelle's Bank Account:</u>

Last we have Michelle. Since she started with 25 dollars, that'll be her y-intercept. It also says that she is depositing 25 dollars per month, meaning 25 is her slope. Her equation should look like y = 25x + 25.

Plug in 500 for y: 500 = 25x + 25

Subtract 25 from both sides: 475 = 25x

Divide 25 from both sides to get x isolated: x = 19

It'll take Michelle 19 months to get $500.

So, in the end, Michelle will reach $500 dollars first.

5 0
3 years ago
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