Answer: It is about 23 feet.
Step-by-step explanation:
1. Let's call <em>x</em> the height of the mast.
2. You know that the rope is attached to a point 6 feet from the base of the mast and the rope is 24 feet long, therefore, you can draw the right triangle shown in the figure attached.
3. To calculate <em>x</em>, you must apply the Pythagorean Theorem as you can see below:
≈ 
Answer:
- P(Yellow)=0.25
- P(Not Red)=0.65
Step-by-step explanation:
P(Red)=0.35
P(Green)=0.4
(a)Since there are three colours inside the bag
P(Red)+P(Green)+P(Yellow)=1
0.35+0.4+P(Yellow)=1
P(Yellow)=1-(0.35+0.4)
P(Yellow)=0.25
(b) In probability, the sum of an event and its complement is 1.
Therefore:
P(Red)+P(Not Red)=1
0.35+P(Not Red)=1
P(Not Red)=1-0.35
P(Not Red)=0.65
I’m pretty sure it’s this 200,000
The club would have to sell at least 6 t-shirts.
Answer:
Mr.Lin's present age is 30 years now. His son is 8 years old now.
Step-by-step explanation:
Let L = Mr.Lin's present age,
S = his son's present age.
First equation is
L + S = 38. (1)
The second equation is
L + 3 = 3*(S+3) (2) ("In three years' time, Mr.Lin will be three times as old as his son.")
From (1), express S = 38-L and substitute it into (2). You will get
L + 3 = 3*((38-L)+3), or
L + 3 = 114 - 3L + 9,
4L = 114 + 9 - 3,
4L = 120,
L = 30.
