Answer:
0.44
Step-by-step explanation:
1. find probability --> 22/50
because you want to find probability of drawing red so you divide red/total
Answer:
x = 16
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+2) * 2 = 6^2
2(x+2) = 36
Divide each side by 2
x+2 = 18
Subtract 2
x+2-2 = 18-2
x = 16
Answer:
The flagpole is 15 feet tall.
Step-by-step explanation:
The man casts a shadow that is 2/3 the length of his height. Because we know that the man and the flagpole are standing at the same time of the day, we can conclude that the shadow of the flagpole is 2/3 the length of the flagpole as well. Then, you would multiple 10(3/2) to get 15 as the height of the flagpole.
Answer: 114.37 ft
Step-by-step explanation:
If we model this situation as a right triangle, where the hypotenuse is the length of the ladder (
), the opposite leg is the height the ladder will reach
, and the adjacent leg is the distance between the base of the ladder and the building (
); we have two options:
1) Using trigonometric functions, since we are given the angle 
2) Using the Pithagorean Theorem
Any of the options will give a similiar result. So, let's choose the Pithagorean Theorem:


Isolating
:

Adding to this height the extra height of
(since the base of the ladder is at this distance above the ground, perhaps held by a firefighter truck):
This is the height the ladder will reach