Answer:
Step-by-step explanation:
To find the area subtract the area of the semicircle from the area of the rectangle.
Although the line isn’t there, if you imagine there is one, then you will see that you form a rectangle which is the same line as the semicircle’s diameter.
The area of rectangle is:
⇒
⇒
⇒
The area of the semicircle;
⇒
⇒
*Note here that the radius is half the diameter, so it is 7cm, not 14cm
⇒
Finally subtract the two areas;
⇒
⇒
or
divide both sides by 2
sinΘ = -
Since the sin ratio is negative then Θ is in third / fourth quadrants
Θ = (
) =
related acute angle
Θ = ( π + ) =
or Θ = ( 2π - ) =
9514 1404 393
Answer:
False
Step-by-step explanation:
f(-2) = (1/2)(-2) -3 = -1 -3 = -4
g(-2) = -2(-2) +2 = 4 +2 = 6
The function values are not the same at x=-2, so the graphs do not intersect there.
__
The graphs intersect at x=2.
Answer: Team one = 1/5
Team 2 = 4/21
Team A is the fastest
Step-by-step explanation: Answer: Team one = 1/5
Team 2 = 4/21
Team A is the fastest
Step-by-step explanation: TEAM A
Tammy working alone in 1hr can clean 1/2
Melissa working alone in 1 hr can clean 1/3
working together in 1hr ,let x represent the area they will clean we have
+
= 1/x
⇒ 3 + 2 = 1/x
5 = 1/x
x = 1/5
TEAM B
Santay working alone can clean 1/4
Leticia working alone in 1 hr can clean 4/5
working together in 1 hr ,let y represent the amount they clean, we have
+
= 1/y
4 + 5/4 = 1/y
21/4 = 1/y
y = 4 /21
comparing x and y , 1/5 is greater than 4/21 , therefore Team A is faster