A triangle solver tells you
C = 85° b ≈ 8.4 c ≈ 10.4From the sum of angles of a triangle,
C = 180° -42° -53° = 85°
From the law of sines
b = sin(53°)/sin(42°)*7 ≈ 8.355
c = sin(85°)/sin(42°)*7 ≈ 10.422
Answer:
112.03sq. units
Step-by-step explanation:
The area of a sector = theta/360 * πr²
The area of a sector = 76/360 * 3.14 * 13²
The area of a sector = 76/360 * 530.66
The area of a sector = 40,330.16/360
The area of a sector = 112.03sq. units
This gives the area of the sector
Answer:
I'm pretty sure the answer is the second choice
Step-by-step explanation:
because you have to add X to both sides
Answer: x + 9x + (9x - 7)
Simplified: 19x - 7
Step-by-step explanation: We see that Abby already starts off with x dolls. We put a 9 infront of the x for the second part of the expression because Lauren has 9 times as many dolls as Abby. Since Betsy has 7 less than Lauren, we take away 7 from 9x. We put that part in parenthesis because that part needs to be done first before we add everything together. Once simplified, we have "19x - 7". (I really tried my best so I hope this is the correct answer!)
Answer:
C) No, their slopes are not opposite reciprocals.
Step-by-step explanation:
First we find the slopes.
slope of PQ = (3 - 0)/(7 - 11) = 3/(-4) = -3/4
slope of RS = (-3 - 1)/(6 - 3) = -4/3
product of the slopes = (-3/4) * (-4/3) = 1
The slopes are reciprocals, but they are not opposite reciprocals, so the lines are not perpendicular.
