What is the area of a circle with a radius of 12 feet? Estimate the area to the hundredths place using 3.14 for π
.(1 point)
Responses
452.16 square feet
452.16 square feet
452.2 square feet
452.2 square feet
75.4 square feet
75.4 square feet
113.04 square feet
The correct answer is 452.16 square feet.
To find the area of a circle, you can use the formula A = π * r^2, where A represents the area and r represents the radius of the circle. In this case, the radius of the circle is given as 12 feet.
Substituting the value of the radius into the formula, we get A = 3.14 * (12)^2.
Calculating this gives A = 3.14 * 144 = 452.16.
To estimate the area to the hundredths place using 3.14 for π, you need to round the decimal value. In this case, rounding 452.16 to the hundredths place gives us 452.16 square feet.
To find the area of a circle, you can use the formula A = πr^2, where A is the area and r is the radius.
First, square the radius. In this case, 12^2 = 144.
Next, multiply the squared radius by π, which is approximately 3.14. 144 * 3.14 = 452.16
Therefore, the estimated area of the circle is 452.16 square feet.
What is the area of a circle with a diameter of 10 millimeters? Estimate the area to the tenths place using 3.14 for π
.(1 point)
Responses
314 square mm
314 square mm
79 square mm
79 square mm
15.7 square mm
15.7 square mm
78.5 square mm
The correct answer is 78.5 square mm.
To find the area of a circle, you can use the formula A = π * r^2, where A represents the area and r represents the radius of the circle.
Given that the diameter of the circle is 10 millimeters, we can calculate the radius by dividing the diameter by 2. So, the radius (r) is 10/2 = 5 millimeters.
Substituting the value of the radius into the formula, we get A = 3.14 * (5)^2 = 3.14 * 25 = 78.5 square mm.
To estimate the area to the tenths place using 3.14 for π, you need to round the decimal value. In this case, rounding 78.5 to the tenths place gives us 78.5 square mm.
If Jessica, Elizabeth, and Stphanie in a room all shake hands with each other, how many total handshakes will occur?
responses
3 handshakes
4 handshakes
5 handshakes
6 handshakes
If each person shakes hands with every other person in the room, the number of handshakes can be determined using the combination formula. The formula for calculating the number of possible combinations is nC2, where n represents the number of people.
In this case, there are 3 people (Jessica, Elizabeth, and Stephanie). Plugging in the value of n into the combination formula, we get 3C2.
Evaluating this expression gives us 3! / (2!*(3-2)!) = 3! / (2!*1!) = (3*2*1) / (2*1) = 3.
Therefore, the total number of handshakes that will occur is 3 handshakes.
If the population of an alien race doubles every two minutes, how long will it take for the population to grow from 1,000 to 32,000?
responses
5 minutes
10 minutes
15 minutes
20 minutes
pls helpp
To solve this problem, we can use logarithms to determine how many times the population needs to double in order to reach the desired population.
Let's assume the starting population is 1,000 and we want it to reach 32,000.
The formula for exponential growth is P = P0 * (2^t), where P represents the final population, P0 represents the initial population, and t represents the time in minutes.
Using this formula, we can set up the following equation:
32,000 = 1,000 * (2^t)
Dividing both sides by 1,000:
32 = 2^t
We can solve for t by taking the logarithm (base 2) of both sides:
log2(32) = t
Simplifying:
5 = t
Therefore, it will take 5 minutes for the population to grow from 1,000 to 32,000.
Solve.
x + 2y = 12
8x + 5y = 19