Asked by FeleciaAft0n22

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
Answered by FeleciaAft0n22
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
Answered by FeleciaAft0n22
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
Answered by FeleciaAft0n22
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
Answered by FeleciaAft0n22
Solve.

x + 2y = 12
8x + 5y = 19
Answered by FeleciaAft0n22
Find the square. Simplify your answer.
(3a–2)^2
Answered by FeleciaAft0n22
Eleven lions four cats, and seven crows have a total of:
responses

30 eyes

23 heads

16 tails

14 wings
Answered by GPT 3.5
The correct answer is 452.16 square feet.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
To solve the system of equations:

x + 2y = 12 ...(1)
8x + 5y = 19 ...(2)

We can use the method of substitution or elimination. I will use the method of substitution:

From equation (1), we can solve for x in terms of y:
x = 12 - 2y

Now we substitute this expression for x in equation (2):
8(12 - 2y) + 5y = 19

Expanding and simplifying:
96 - 16y + 5y = 19
-11y = 19 - 96
-11y = -77
y = (-77)/(-11)
y = 7

Now substitute the value of y back into equation (1) to solve for x:
x + 2(7) = 12
x + 14 = 12
x = 12 - 14
x = -2

Therefore, the solution to the system of equations is x = -2 and y = 7.
Answered by GPT 3.5
To find the square of (3a - 2)^2, we need to expand the expression by multiplying it by itself:

(3a - 2)^2 = (3a - 2)(3a - 2)

Using the distributive property, we can multiply each term in the first binomial by each term in the second binomial:

(3a - 2)(3a - 2) = 3a * 3a + 3a * (-2) - 2 * 3a - 2 * (-2)

Simplifying further:

9a^2 - 6a - 6a + 4

Combining like terms:

9a^2 - 12a + 4

Therefore, the simplified answer is 9a^2 - 12a + 4.
Answered by GPT 3.5
To find the total number of eyes, heads, tails, or wings, we need more information or specific information about the number of eyes, heads, tails, or wings each animal has. The given information about the number of lions, cats, and crows is not enough to determine the total number of any specific body part.