An apple pie has a 12-inch diameter and the angle of one slice is 60 degrees. What is the area of that slice of pie? Use 3.14 as the value of pi .

Answers

Answer 1

Answer: r = 6 in;
60° = 1/6 · 360°
The area of the slice of pie:
A = 1/6 · r² · π
A = 1/6 · 6² · 3.14 = 18.84 in²

Answer 2

Answer: An apple pie has a 12-inch diameter and the angle of one slice is 60 degrees. What is the area of that slice of pie?

Answer: This problem is simple. To find the area of that slice of pie we will need to do the following: radius = diameter / 2. Therefore by replacing the values we will get 12 /2 = 6. Finally we use this formula and solve for the answer Area = πr²Θ / 360. The correct answer you should get is 18.84 in².

I hope it helps, Regards.

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Solve for x 3(x-8) = -29.7

The measure of central angle XYZ is 1.25 radians.

What is the area of the shaded sector?

Answers

Note that a sector is the area bounded by two radii and the included arc. When trying to calculate for the area of the sector, you’ll use the formula A=n/360 (pi)(radius)^2. Remember that the n in the formula refers to the measure of the central angle in degrees. Since the given data in the problem is in radians term, you can convert it by multiplying 1.25 to 180/pi. Then you can now input the converted value to the formula of finding the area of the sector.

Answer:

Step-by-step explanation:

Given the following formula, with A= 27 and t=3, solve for r.
А=P(1 + Tt)

Answers

Answer:

Option C. r = (27 – P)/3P

Step-by-step explanation:

The following data were obtained from the question:

A = 27

t = 3

r =?

А = P(1 + rt)

With the above formula, we can obtain the value of r as follow

А = P(1 + rt)

27 = P(1 + 3r)

Divide both side by P

27/P = 1 + 3r

Subtract 1 from both side

27/P – 1 = 1 – 1 + 3r

27/P – 1 = 3r

(27 – P)/P = 3r

Divide both side by 3

r = (27 – P)/P ÷ 3

r = (27 – P)/P × 1/3

r = (27 – P)/3P

Twenty-four blue socks and twenty-four red socks are lying in a drawer in a dark room. What is the minimum number of socks you need to pull out of the drawer so that you are sure to have at least two blue socks

Answers

Answer:

26 socks

Step-by-step explanation:

There are a total of 48 socks here. Let us assume you pulled out 24 socks at a go and all are red. Now, you would have exhausted the number of red socks here. You would be left with only blue socks which you can pull one after the other to give a total of 26 socks pulled out to have 2 blue socks at least.

Help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: Choice A

x < -3 or x > 1

=====================================================

Work Shown:

Solve the first inequality for x

3x+2 < -7

3x < -7-2 .... subtract 2 from both sides

3x < -9

x < -9/3 .... divide both sides by 3

x < -3

Do the same for the second inequality

-4x+5 < 1

-4x < 1-5

-4x < -4

x > -4/(-4) .... note the inequality sign flips

x > 1

So either x < -3 or x > 1. This points to choice A as the answer.

Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel. How old is Daniel now

Answers

K = 3D. K - 4 = 5(D - 4). K - 4 = 5D - 20. K = 5D - 16. 3D = 5D - 16. 16 = 2D. D = 8. K = 3 x 8. K = 24.

Write a explicit formula for the sequence 10, 9.5, 9, 8.5, 8 then find ^a8

Answers

Answer:

Explicit formula for the sequence is $a_n=10.5-0.5n$ and $a_8=6$

Step-by-step explanation:

Given: Sequence = 10, 9.5 , 9 , 8.5 , 8

To find: Explicit Formula for the sequence and 8th term of sequence

1st term of sequence = 10

2nd term of sequence = 9.5

3rd term of sequence = 9

4th term of sequence = 8.5

5th term of sequence = 8

Difference between 2nd and 1st term = 9.5 - 10 = -0.5

Difference between 3rd and 2nd term = 9 - 9.5 = -0.5

Since, Difference is same in both cases

⇒ It is Arthematic Progression

⇒ First term, a = 10 and Common term, d = -0.5

using formula of AP for nth term we get,

$a_n=a+(n-1)d$

$a_n=10+(n-1)(-0.5)$

$a_n=10-0.5n+0.5$

$a_n=10.5-0.5n$

⇒ 8th Term of AP, $a_8=10.5-0.5*8=10-4=6$

Therefore, Explicit formula for the sequence is $a_n=10.5-0.5n$ and $a_8=6$

Answer:

The term number eight is 6.5

$a_(8)=6.5$

Step-by-step explanation:

The given sequence is an arithmetic sequence, because each term can be found by applying a difference.

In this case, you can observe that such difference is -0.5, because each term is going down by 0.5 units.

The formula that describes an arithmetic sequence is

$a_(n)=a_(1)+(n-1)d$

Where $a_(n)$ is the last term, $a_(1)$ is the first term, $n$ is the position of the last term and $d$ is the difference.

Each variable is

$a_(1) =10\nd=-0.5\nn=8\n$

Where we are gonna find $a_(8)$ the term number eight. So, replacing values, we have

$a_(n)=a_(1)+(n-1)d\na_(8)=10+(8-1)(-0.5)\na_(8)=10+7(-0.5)=10-3.5\na_(8)=6.5$

Therefore, the term number eight is 6.5.

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