#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
Given two points; (x₁,y₁) and (x₂,y₂) the slope is:
m=(y₁-y₂) / (x₁-x₂) or m=(y₂-y₁) / (x₂-x₁)
In this case:
(4,3)
(5,2)
m=(5-4)/(2-3)=1/-1=-1
Answer: the slope is -1
The number was 160 because 5/4•128=160. 5/4 represents inverting 80% and multiplying it by the number to determine how the result became 128. For checking over all you have to do is do 4/5 or 80%•160 which shall give you 128.
The width is 8 because 4x8=32
Answer:
6
Step-by-step explanation:
2 + (1/10)(1/5)(1/10)2000 = 2 + (1/500)(2000) = 2 + 4 = 6
