Find the circumference:
Circumference = 2 x pi x radius
Circumference = 2 x 3.14 x 9 = 56.52 inches
the arc length is 45 degrees/360 degrees of the circumference.
Marc length = 56.52 x 45/360 = 7.065 inches
Rounded to the nearest tenth = 7.1 inches
Answer:
2(3x + 7)(2x - 1)
Step-by-step explanation:
You can see it a little easier if you take out a common factor of 2
2(6x^2 + 11x - 7)
The 6 leaves you with a lot of factors, the 7 does not. It only has 2 factors.
Let 6 factor into 2 and 3 and the 7 into 7 and 1
2(3x - 1 )(2x + 7)
Now remove the brackets.
2(6x^2 + 21x - 2x - 7) This obviously does not work but we'll combine like terms anyway.
2(6x^2 + 19x - 7)
So we'll try it again
2(3x + 7)(2x - 1)
2(6x^2 + 14x - 3x - 7) Looks like we have it.
2(6x^2 + 11x - 7)
So the right factors are
2(3x + 7)(2x - 1)
Answer:
C (900)
Step-by-step explanation:
50 for each orchestra
40 for each balcony
600 x 50 = 30000
39000/40 = 975
600+975=1575 not correct
750 x 50=37500
750 x 40 = 30000
not correct
900x50=45000
600x40=24000
correct
Zack would receive $200. You have to make 60% as a decimal= 0.60 then multiply $500*0.60= $300 then you subtract $500-$300=$200
(Hope this works!!)
Answer: The probability is 0.5
Step-by-step explanation:
The probability will be equal to the quotient between the area of region II, and the total area of the board (supposing that the probability of hitting in any place is equal)
The total area of the figure is equal to
Area = (15' + 35')*(8' + 20') = 50'*28' = 1400 in^2
Now, the area of region II is:
Region II = 20'*35' = 700
Then the probability is:
P = 700/1400 = 1/2 = 0.5
