Answer:
Step-by-step explanation:
The area of a sector in terms of radians as opposed to degrees is

Filling in the formula accordingly gives us

The radians cancel out, the pi's cancel out, the 2 in the denominator cancels out (divides into 2-squared once), leaving us with
A = 1.75(2) so
A = 3.5 units squared
Answer:
Step-by-step explanation:
12.
the formula for the volume of a cone is V=1/3hπr²
549.5 = 1/3(21)(3.14)(x)^2
549.5 = 7(3.14)(x)^2
549.5 = 21.98(x)^2
549.5 = 21.98(x)^2
divide by 21.98 on both sides
25 = (x)^2
sqrt 25 = sqrt x^2
5 = x
13.
the formula for the volume of a sphere is V=4/3πr^3
v=4/3(3.14)9^3
v=4/3(3.14)729
v=(4.186)729
v=3052.08
14.
the formula for the volume of a sphere is V=4/3πr^3
523=4/3(3.14)r^3
523=4/3(3.14)r^3
523=(4.186)r^3
divide by 4.186 on both sides
124.92=r^3
cube root on both sides
4.998=r
round
5=r
<em><u>Please mark brainliest this took me a while</u></em>
Answer:
39 & —34
Step-by-step explanation:
ATTACHED PICTURE!
Set x as adult tickets.
Set y as children's tickets.
x + y = 15
30x + 20y = 270
Solve for x in the first equation.
x + y = 15
x = 15 - y
Plug this into the second equation.
30x + 20y = 270
30(15 - y) + 20y = 270
450 - 30y + 20y = 270
450 - 10y = 270
-10y = -180
y = 18
If there is 18 childrens tickets, there should be -3 adult tickets.
This is impossible, and this impossible answer occured because the question is written wrong.
There are a total of 15 tickets
The smallest costing ticket is the childrens ticket, which costs 20$.
If he only bought children tickets, this would be 20x15 which is 300$.
300$ is over 270$, which makes the question impossible.