Answer:
6x^2 + 13x - 63
Step-by-step explanation:
#1
m∠A=180 - 115 - 24 = 41°
By the law of sines:
b/sinB = a/sinA ⇒
b = (a*sinB)/sinA = (21*sin24°)/sin41° = (21*0.4067)/0.656 ≈ 13
c/sinC = a/sinA ⇒
c = (a*sinC)/sinA = (21*sin115°)/sin41° = (21*0.9063)/0.656 ≈ 29
#2
m∠C=180 - 119 - 27 = 34°
By the law of sines:
b/sinB = a/sinA ⇒
b = (a*sinB)/sinA = (13*sin119°)/sin27° = (13*0.8746)/0.454 ≈ 25
c/sinC = a/sinA ⇒
c = (a*sinC)/sinA = (13*sin34°)/sin27° = (13*0.5592)/0.454 ≈ 16
#3
m∠C=180 - 57 - 37 = 86°
By the law of sines:
c/sinC = a/sinA ⇒
c = (a*sinC)/sinA = (11*sin86°)/sin57° = (11*0.9976)/0.8387 ≈ 13.1
Answer:
(x +2)^2 + (y +2)^2 = .5625
Step-by-step explanation:
(x - h)^2 + (y - k)^2 = r^2
(x + 2)^2 + (y + 2)^2 = .75^2
Answer:
1/6
Step-by-step explanation:
If the dice is rolled 4 times than the probability you will roll a 6 is 1/6 since there are only six numbers
Answer:
72:48
Step-by-step explanation:
as you divide 120 by 5 as 3+2=5 and that equals 24
24x3=72
24x2=48
