Find the area of sector AOB. Enter your answer in terms of a fraction of π and rounded to the nearest tenth.The area of sector AOB is _____ π ≈ _____ mm2.
Answers
40/360 = 1/9
Sector AOB is 1/9 of the total circle.
A = pi x 3^2
A = 9pi
9pi / 9 = 1pi
The area of sector AOB is 1pi = approximately 3.1 mm^2.
Hope this helps!! :)
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Solve photo question, please.
Brian claims that he can eat a pie that is divided into six equal pieces In two minutes.If he can eat the whole pie in two minutes, how long does he have to eat each piece
cone A has a height of 3 meters and radius of 2 meters. Cone B has the same radius, but height og 6 meters, calculate the volume of each cone. Which conclusion is correct ? The volume of cone A is twice the volume of cone B, the volume of cone Bis ywice the volume of cone A , The volume of cone B is 4 time the volume of cone A or The volume of cone B is 3 times the volume of cone A?
Jenny has $200.00 in her savings account. The account earns interest at the rate of 3% each year.How much money will Jenny have in her account after one year?
Answers
height: 60mm
A=2
A=2
A=2(720)
A=1440
A= approximately 4523.89
The lateral area of a right cylinder if the base is 12mm and the altitude is 5 times the base's radius is 4524mm^2
B) n = 3
C) n = 5
D) n = 6
Answers
For n=2,
put the value 2 in the above equation we get 525*2=1050°.
1050° angle takes 2 complete revolution and then makes an angle of 330° which will fall in the negative portion of y-axis.
For n=6,
put the value 6 in the above equation we get 525*6=3150°.
3150° angle takes 8 complete revolution and then makes an angle of 270° which will fall along negative y-axis.
The value of n that causes the y-component of the terminal side to be negative is n = 2.
For which value of n the terminal side has a negative y-value?
We know that for a polar point with coordinates of (R, θ), the rectangular coordinates of an equivalent point are:
x = R*cos(θ)
y = R*sin(θ)
In this case, R does not matter, because it is always positive. We want to have a negative value of y, so we want:
y = sin(θ) < 0.
where θ = (525n)°
So we can check for different values of n, and see which one gives a negative sine:
n = 2
sin(525*2°) = -0.5
So for the first value that we tried, we found the correct option. Then we conclude the correct option is A.
If you want to learn more about the sine function:
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7 - 51
V-6
-12
- 2 + 19 (5)
2 - 72
16
Real Numbers
Complex Numbers
Answers
There seems to be a mistake in typing. You probably type the letter "i" as "1", so it is difficult to tell which numbers are complex numbers.
I will however explain what complex numbers look like, which will help you in determining which numbers are complex numbers, and the rest are real numbers.
Step-by-step explanation:
Complex numbers are numbers that include the square root of a negative number.
It is not possible to have a value for an expression with a square root of a negative number, then the letter j or i were introduced to help represent these kinds numbers.
√-1 = i or j (anyone is fine)
Knowing the square root of -1 is i, we can write the square root of any negative number with ease.
√(-6) = √(-1) × √6, right?
= i × √6
= i√6
And so on.
So, basically, the numbers that include the letter 'i', or √(-1) in them are the complex numbers. The rest are real numbers.
Answers
Answer:
Step-by-step explanation:
Here is a sample balance sheet for the Spartan Bike Shop credit card transactions:
Date | Transaction | Deposit | Withdraw | Balance
--------------------------------------------------------------
01/01/2022 | Starting balance | - | - | $4,500
01/15/2022 | Purchase of supplies| - | $500 | $4,000
02/05/2022 | Payment received | $1,000 | - | $5,000
02/20/2022 | Equipment purchase | - | $2,500 | $2,500
03/10/2022 | Refund received | $300 | - | $2,800
In this example:
- The starting balance on 01/01/2022 is $4,500.
- On 01/15/2022, the shop made a purchase of supplies, resulting in a withdrawal of $500 from the credit card account, leaving a balance of $4,000.
- On 02/05/2022, the shop received a payment of $1,000, which was deposited into the credit card account, increasing the balance to $5,000.
- On 02/20/2022, the shop made an equipment purchase, resulting in a withdrawal of $2,500 from the credit card account, leaving a balance of $2,500.
- On 03/10/2022, the shop received a refund of $300, which was deposited into the credit card account, increasing the balance to $2,800.
This balance sheet provides a clear record of the credit card transactions for the Spartan Bike Shop, including the dates, transaction details, deposits, withdrawals, and the resulting balance after each transaction. It helps the shop keep track of their credit card activity and maintain an accurate record of their financial transactions.
what is the fraction ten twelfths in it's simplest form ?
Answers
The correct answer is:
5/6.
Explanation:
To simplify this fraction, we divide the numerator and denominator by the greatest common factor.
The factors of 10 are: 1, 2, 5 and 10.
The factors of 12 are: 1, 2, 3, 4, 6, and 12.
The greatest common factor of the two is 2.
Simplifying this, we have:
10/12 = (10÷2)/(12÷2) = 5/6.
3 hours and 15 minutes
3 hours and 45 minutes
4 hours, and 15 minutes
Answers
The elapsed time between 4:25 and 7:40 is 3 hours and 15 minutes.
Given that two times 4:25 and 7:40, we need to calculate the time elapsed between these two.
To calculate the elapsed time between 4:25 and 7:40, you need to subtract the starting time from the ending time.
First, let's calculate the difference in hours. From 4:25 to 7:40, we can see that the hours have changed from 4 to 7, which means 3 hours have passed.
Next, let's calculate the difference in minutes. From 4:25 to 7:40, the minutes have changed from 25 to 40.
This means that an additional 15 minutes have passed.
Therefore, the elapsed time between 4:25 and 7:40 is 3 hours and 15 minutes.
Learn more about subtraction click;
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