9 x 5 = 45 -> total $ on Friday
99 - 45 = 54 -> total $ on Saturday
54 ÷ 9 = 6 hours
Answer:
Use the fact that sin(x) = opp/hyp and tan(x) = opp/adj
where opp=opposite, hyp=hypotenuse, adj=adjacent and recall sin(30)=1/2 and tan(30) = 1/sqrt(3)
sin(30) = 1/2 = 17/y
y = 17(2) = 34
tan(30) = 1/sqrt(3) = 17/x
x = 17sqrt(3)
So the answer is (d)
Note that you could have also use the Pythagorean theorem to find x instead of using tan(30).
Answer: ∠B = 50°
∠BCD = 40°
<u>Step-by-step explanation:</u>
ACB is a right triangle where ∠A = 40° and ∠C = 90°.
Use the Triangle Sum Theorem for ΔABC to find ∠B:
∠A + ∠B + ∠C = 180°
40° + ∠B + 90° = 180°
∠B + 130° = 180°
∠B = 50°
BCD is a right triangle where ∠B = 50° and ∠D = 90°.
Use the Triangle Sum Theorem for ΔBCD to find ∠C:
∠B + ∠C + ∠D = 180°
50° + ∠C + 90° = 180°
∠C + 140° = 180°
∠C = 40°
The y-intercept of the function is at y = -3 so the options that don’t include it are off the table. The only possible answer is option C. Option A doesn’t work because plugging in positive values would give negative numbers within the square root which isn’t defined in the real numbers.