Answer:
B
Step-by-step explanation:
You are given two sides and the included angle, so you need to use the law of cosines.
c² = a² + b² - 2ab cos C
c² = 12² + 13² - 2(12)(13)cos 134°
c² = 313 - 312(-0.6947)
c² = 529.733
c = 23.016
Now use the law of sines.
c/sin C = a/sin A
23.016/sin 134° = 12/sin A
sin A = 12 × sin 134° / 23.016
sin A = 0.37504
A = 22.03°
B = 180° - 134° - 22.03°
B = 23.97°
m<A = 22°; m<B = 24°; c = 23 km
Answer: B
Answer:
y= (x-2)^2/4-7
Step-by-step explanation:
Vertical angles are equal to each other:
∠2 = ∠3
5 + 4y = 6y - 25
→ 30 = 2y
→ 15 = y
∠2 = 5 + 4y = 5 + 4(15) = 5 + 60 = 65
linear pairs equal 180:
∠1 + ∠2 = 180
→ ∠1 + 65 = 180
→ ∠1 = 115
Answer:
$72,100
Step-by-step explanation:
To calculate the total principal+interest payment, you can use the formula to find the future value:
FV=PV(1+i)^n
FV= Future value
PV= Present value= $58,200
i= Interest rate= 7.40%
n= Number of periods of time= 3 years
Now, you can replace the values on the formula:
FV=58,200*(1+0.0740)^3
FV=58,200*(1.0740)^3
FV=72,100
According to this, the answer is that the total principal + interest payment will be $72,100.
