Answer: d
Step-by-step explanation:
Note that the distance to the tower and the height of the tower create a right triangle at the base of the tower. The equation to find the height of a right triangle is to multiply the length times the tangent of angle β.
Given:
b = a · tanβ
tan(30°) = √3/3
Step 1: Solve
b = (30/1) · (√3/3)
b = (30 · √3) / (1 · 3)
b = (30√3) / (3)
b = 10√3
Answer:
166.666667 m/ps
Step-by-step explanation:
600/60 will give us the amount of kilometers in a minute. 10 km/ph, now i'll divide more to find the seconds. 0.166666667 this is the amount of KILOMETERS in a second, we are trying to find in meters. multiply by 1000 and 166.666667. a fast fricking train if you ask me.
In this question, you want to make 10 liters 20% concentration solution by mixing 5% and 40% concentration. There should be multiple answers to this question. Assuming that the total volume of 5% and 40% solution equal to 10L(no solution wasted), then you can determine the volume of solution needed. The formula should be:
if x would be the of volume 40% solution, then the volume of 5% would be:
10 L= 40% solution volume+ 5% solution volume
10 L= x + 5% solution volume
5% solution volume= 10l-x
Then the volume calculation would be:
volume20%*concentration20%= volume40%*concentration40% + volume5%*concentration5%
10 liter * 20%= x liter*40% + (10- x) liter*5%
10l * 20%= x liter * 35% + 10 liter*5%
x liter *35 = 10l * 20 - 10l *5= 10l*15
x liter = 10l *15/35= 4.28 L= 4.3L
The volume of 40% solution= 4.3L
The volume of 5% solution= 10L- 4.3L= 5.7L