#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
5.65 in decimal and 113/20
2x-3>11-5x
Simplify both sides of the equation
2x-3>-5x+11
Add 5x to both sides
2x-3+5x>-5x+11+5x
7x-3>11
Add 3 to both sides
7x-3+3>11+3
7x>14
Divide both sides by 7
7x/7>14/7
x>2
I hope that's help !
Answer: 11,600
you multiply 58,000 by 0.8 and you’d get 46,400. then you would subtract that number by 58,000 to get the answer of 11,600.
Answer:
Step-by-step explanation:
Given
Solving (a1): The common difference (d)
d is calculated as
This gives:
Factorize:
Solving (a2): Sum of n terms
This is calculated using:
Substitute values for T1 and d
Factorize:
Solving (b): Sum of first 10.
In this case, n = 10
So:
becomes