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zvonat [6]
4 years ago
15

A circular mirror has the diameter of 12 inches. what is the area in square inches?

Mathematics
1 answer:
nika2105 [10]4 years ago
5 0
Hello!

To find the area of a circle you do \pi  r^{2}

Where r stands for radius.

The radius is just half the diameter

So you put that into a calculator and get 113.1in^{2}

Hope this helps!
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Given the Arithmetic series A1+A2+A3+A4 7 + 11 + 15 + 19 + . . . + 91 What is the value of sum?
aivan3 [116]

Answer:

The value of the sum is 1078

Step-by-step explanation:

* Lets revise how to find the sum of the arithmetic series

- In the arithmetic series there is a constant difference between each

 two consecutive terms

- Ex:

# 4 , 9 , 14 , 19 , 24 , .......... (+ 5)

# 25 , 15 , 5 , -5 , -15 , .......... (-10)

- So if the first term is a and the constant difference between each two

  consecutive terms is d, then

  U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , ..........

- Then the nth term is Un = a + (n - 1)d

- The sum of n terms is Sn = n/2[a + L] , where L is the last term in

 the series

* Lets solve the problem

∵ The arithmetic series is 7 + 11 + 15 + 19 + ......................... + 91

∴ The first term (a) is 7

∴ The last term is (L) 91

- Lets find the constant difference

∵ 11 - 7 = 4 and 15 - 11 = 4

∴ The constant difference (d) is 4

- Lets find the sum of the series from 7 to 91

∵ Sn = n/2[a + L]

∵ a = 7 and L = 91

∴ Sn = n/2[7 + 91]

- We need to know how many terms in the series

∵ L is the last term and equals 91 lets find its position in the series

∵ Un = a + (n - 1)d

∵ a = 7 , d = 4 and Un = 91

∴ 91 = 7 + (n - 1)(4) ⇒ subtract 7 from both sides

∴ 84 = (n - 1)(4) ⇒ divide both sides by 4

∴ 21 = n - 1 ⇒ add 1 to both sides

∴ n = 22

∴ The number of the terms in the series is 22

- Lets find the sum of the 22 terms (S22)

∴ S22 = 22/2[7 + 91]

∴S22 = 11[98] = 1078

* The value of the sum is 1078

4 0
3 years ago
Taylor bought 200 shares of stock for $18.12 per share last year. He paid his broker a flat fee of $30. He sold te stock this mo
rusak2 [61]
The answer is $3990 heres why

First you need to find out what is the total you paied for the shares
$18.12x200= $3624

Then you need to add the flat fee to the spending chost
$3624+$30= $3654 

Now you re-mulitply the chost per stock to the tootle #'s of stock you sold
$21x200= $4200

Then you need to find out what how much you need to pay the stock broker
$4200x.05= $210
 
Then once you find out how much you need to pay him subtract that amount to the total money earned from selling your stocks
$4200-$210= $3990 

Then if you want to also find out your profit just subtract the total amount you payed for the stock and subtract it from the total amount you gained from the stock. 
$3990- $3654= $336 Profit 

6 0
3 years ago
Read 2 more answers
I need help this is 6th grade Question 3×(5+4^2)-10
bonufazy [111]
Using PEMDAS the you start with parentheses and exponents 4x4 would be 16 times 2 is 32 plus 5 is 37 then multiply that by 3 = 111 subtract 10 and get 101
8 0
3 years ago
Determine f(x-1) f(x)=√x+6-8
docker41 [41]
F(x) = (√ x +6) +8
f(x-1) = (√ x-1 +6) -8
=(√x+5) -8 

4 0
3 years ago
the managers of a corporation were surveyed to determine the background that leads to a successful manager. each manager was rat
lubasha [3.4K]

The probability that the selected manager has no college background and only have a fair look is 0.05625

Table is missing. Attached below.

Given,

We have to find the probability that the selected manager has no college background and only have a fair look;

From the table;

The total number of managers surveyed = 160

Number of managers surveyed are fair = 9

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The probability = Number of managers surveyed are fair / The total number of managers surveyed

The probability = 9/160 = 0.05625

That is,

The probability that the selected manager has no college background and only have a fair look is 0.05625

Learn more about probability here;

brainly.com/question/11234923

#SPJ4

8 0
1 year ago
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