Step-by-step explanation:
Let n = a number and 2n = an even number, then ...
Let 2n + 1 = the first of three consecutive odd numbers.
Let 2n + 3 = the second of three consecutive numbers.
Let 2n + 5 = the third of three consecutive odd numbers.
Since it's given that the sum of our three consecutive odd numbers is 45, then we can write the following equation to be solved for the variable n:
(2n + 1) + (2n + 3) + (2n + 5) = 45
2n + 1 + 2n + 3 + 2n + 5 = 45
Collecting like-terms on the left, we get:
6n + 9 = 45
Now, subtracting 9 from both sides in order to begin isolating the unknown, n, on the left side:
6n + 9 - 9 = 45 - 9
6n + 0 = 36
6n = 36
Now, divide both sides by 6 in order to solve the equation for n:
(6n)/6 = 36/6
(6/6)n = 36/6
(1)n = 6
n = 6
Therefore, ...
2n + 1 = 2(6) + 1
= 12 + 1
= 13
2n + 3 = 2(6) + 3
Answer:
254.502
Step-by-step explanation:
IF THE "SHADED AREA" MEANS THE CIRCLE, THEN THIS IS THE ANSWER! Whenever you need to find the area of a circle, you always have to multiply pi by the second power of your radius. The radius is just have of the diamater of the circle, which--in this case--is 18. So the radius of this circle would be 9 and the problem would be: A = pi x 9 to the second power. Although since your teacher said that pi was not in fact 3.14159 etc, and instead 3.142, you have to multiply 3.142 times the second power of 9, and you get 254.502. Hope this helped!
Originally, the diameter was 110 m, so the radius was 55 m. To get the area, you square the radius and multiply by π. That's 55^2 * π, making the original area 3025π m^2.
After, the diameter decreased to 107 m, making the radius 53.5 m. Again, you square the radius and multiply by π, making the new area 2862.25π m^2.
Subtract the 2862.25π from 3025π, giving you a total reduction of 162.75π square meters.
Rounded to the nearest hundredth, that's 511.29 square meters.
Answer:
Step-by-step explanation:
y = log (tan 2x)
Applying chain rule:
Now since 
∴ 
∴
Answer:
Given each largest angle is x, then the other angles are x, x, 180 -x, 180 - x
This is because of the properties of isosceles triangle
