Answer: The height of the mountain is 1,331.4 meters (approximately)
Step-by-step explanation: From the information given, the students were standing at point b which is 800 meters from the base of the mountain and the angle of elevation from that point is 59°. Assuming that the ground is level, we can derive a right angled triangle from this set of details and hence we have triangle ABC, where angle β is the reference angle, (59 degrees), BC is the distance from the students to the base of the mountain (800 meters) and the line AC is the height of the mountain.
The line AC is the opposite, since angle B is the reference angle, therefore we shall use the trigonometric ratio as follows;
Tan β = opposite/adjacent
Tan 59 = AC/800
Tan 59 x 800 = AC
1.6643 x 800 = AC
1331.44 = AC
AC ≈ 1331.4
Therefore the height of the mountain is approximately 1,331.4 meters
Answer: B. Every 10th students that enters the cafeteria
Explanation:
B is a random sample, while A, C, and D are biased.
Answer:
Part A: a coefficient is either 20 or 35, both work. A variable is c or w, again either work. The constant is 23.50.
Part B: He will have $503.50
Part C: The coefficient would change, because the amount per car changes, not the amount of cars.
Step-by-step explanation:
A coefficient goes in front of the variable (which is the letter, usually shown as x). The constant is a number with no variable attached.
We replace c with 20, and w with 12, giving us 20(3)+35(12)+23.50 for our equation. After multiplying, we come up with 60+420+23.50, which equals 503.50.
I find it easier if you draw out people(not perfectly just make a circle or something) and then circle every 2 people to count for the men. There are 16 men in the gym.
7 to what power is 49? 49 is 7 squared so the answer is: 2
