Answer:
a = 139.1
b = 56.2
Step-by-step explanation:
A. Reference angle = 68°
Opp = a
Hyp = 150
Therefore:
Sin 68 = opp/hyp
Sin 68 = a/150
150*sin 68 = a
a = 139.1 (nearest tenth)
B. Reference angle = 68°
Adj = b
Hyp = 150
Therefore:
Cos 68 = adj/hyp
Cos 68 = b/150
150*cos 68 = b
b = 56.2 (nearest tenth)
Answer:
x = 17
Step-by-step explanation:
Assuming that angle BAE and angle DAE are congruent, we want to set the equations 3x - 24 and x + 10 together to make it like this 3x - 24 = x + 10. Subtract x on both sides to get 2x - 24 = 10. Add 24 on both sides to get to this equation 2x = 34. Divide 2 on both sides to get your x value which is 17.
Answer:
-2
(The coordinate point is (0,-2))
Step-by-step explanation:
First, make an equation of the line.
Start off with finding the slope:
Slope = (13-1)/(5-1) = 12/4 = 3
Then solve for the y-intercept though substitution and simplification:
y=mx+b --> 1=3(1)+b --> 1=3+b --> b= -2
So the answer is -2.
Answer:
15
Step-by-step explanation:
√15 (3√5)^2 3√5^2 3√10
The deposit is 4,000 so P = 4000.
The interest rate is 9.5%
9.5 ÷ 100 = 0.095.
r = 0.095: I = P*r*t*: I = P*r*tl = 4000*0.095*
(270/365)I = 281.095890410959 I = 281.10
So your answer would be: 281.10
