Answer:
D 46x²+ 67x -16
Step-by-step explanation:
adding like terms
R1(x) + R2(x) = 16x²+52x-27 + 30x² + 15x + 11
total = 46x²+ 67x -16
Answer:
33 degrees
Step-by-step explanation
I used arcos, ∠A = arccos((a2 + b2 - c2)/2ab)
= 0.5795 rad = 33.203° = 33°12'11"
Answer:
C. 1.2x
Step-by-step explanation:
He pays 1 x for his haircut, and an additional 20% on top of that, or an additional 0.2x. If you write that as an expression, you can simplify it like this:
You can also work it out by multiplying by 1.2 as stated in answer C. If his haircut costs $10, adding a 20% tip of $2 is the same as multiplying by 1.2.
Answer:
8.36
Step-by-step explanation:
Let W and L be width and length of the rectangular pen respectively.
Therefore,
Circumference, C = 2W+2L= 130 yd
Area, A = LW = 1050 yd^2=> L = 1050/W
Using the circumference expression and substituting for L;
130 = 2W + 2(1050/W) = 2W+2100/W
130*W = 2W*W + 2100
130W = 2W^2 +2100
2W^2-130W+2100 = 0
Solving for W;
W= [-(-130)+/- Sqrt ((-130)^2-4(2)(2100)]/2*2 = 32.5+/- 2.5
W = 30 or 35 yd
When W = 30, L = 1050/30 = 35
When W = 35, L = 1050/35 = 30
Therefore, W = 30 yd and L = 35 yd.
