First calculate
.
We take positive value of sinθ because 0° < θ < 90°
Now we could calculate sin2θ, cos2θ and tan2θ:
Answer:
67
Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,
\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$
Also,
\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.
There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.
This is the aops answer :)
3 ft is equal to 36 inches, so they are the same length
Answer:
No, he would not be able to reach the town in 4 hours with two 10 minutes stops and same speed
Completed question;
Max travels to see his brother's family by car. He drives 216 miles in 4 hours. What is his rate in miles per hour? Suppose he makes two stops of 10 minutes each during his journey. Will he be able to reach the town in 4 hours if he keeps the speed the same?
Step-by-step explanation:
Average speed = total distance travelled/time taken
Given;
Total distance travelled= 216 miles
Total time taken = 4 hours
Average speed v = 216/4 = 54 miles per hour
v = 54 mph
Suppose he makes two stops of 10 minutes each during his journey.
Total time on stops = 2 × 10 = 20 minutes = 0.33 hours
Total time spent on motion = 4 - 0.33 hours = 3.67 hours
Total distance covered in 4 hours with two stops;
d = 3.67 × 54 mph = 198.18 miles
Since d < 216 miles
No, he would not be able to reach the town in 4 hours with two 10 minutes stops and same speed
