Check the solution of all options
First option
p + 2 1/2 = 5
p = 5 - 2 1/2
p = 5 - 5/2
p = 10/2 - 5/2
p = 5/2
p = 2 1/2
Second option
2 + p = 2 1/2
p = 2 1/2 - 2
p = 1/2
Third option
p - 2 1/2 = 5
p = 5 + 2 1/2
p = 7 1/2
Fourth option
4 - p = 2 1/2
-p = 2 1/2 - 4
-p = 5/2 - 4
-p = 5/2 - 8/2
-p = -3/2
p = 3/2
p = 1 1/2
The equation that has p = 2 1/2 as its solution is first option
The area of the shaded regions is: 44π
<h3>What is the Area of a Circle?</h3>
Area of a circle where "r" is the radius is determined using the formula: πr².
The figure given has three circles, namely:
- Circle A with radius of 8 cm.
- Circle B with radius of 4 cm.
- Circle C with radius of 2 cm.
The area of the shaded regions = <em>Area of circle A - Area of Circle B + Area of Circle C</em>
Area of Circle A = (π)(8)² = 64π
Area of Circle B = (π)(4)² = 16π
Area of Circle C = (π)(2)² = 4π
Thus:
The area of the shaded regions = 64π - 16π + 4π
The area of the shaded regions = 44π
Learn more about area of circle on:
brainly.com/question/15673093
Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
<em />
Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
To find the mean you add all the numbers and divide it by the amount of numbers there is so add
6+9+15+22+30+36=118
there is 6 number so divide 118 by 6
118/6=<span>19.6666666667 rounded to the nearest tenth it would be 20
So your mean would be 20
let me know if you have any questions</span>
