Using a right triangle formed by boat with base and top of lighthouse.Note: 15 minutes = 0.25 degreesLet d be distance the boat is from shore.tan(90−13.25)=d/175
d=175∗tan(76.75)=743.2
Answer:
A) 4
Step-by-step explanation:
There are a couple of ways to get this but this is how I did it:
1. Multiply the second equation by 1/4 to get the same fraction for y as the one in the first equation
1/4 x + 1/8 y = 2
1/4 (1/3 x + 1/2 y = 4)
1/12 x + 1/8 y = 1
2. Subtract the first equation from the new equation
1/12 x + 1/8 y = 1
<u> - 1/4 x - 1/8 y = -2</u>
-1/6 x= -1
3. Divide both sides by -1/6
<u>-1/6</u> x= <u>-1</u>
-1/6 -1/6
x = 6
4. Substitute 4 in for x in the original equation:
1/4 (6) + 1/8y = 2
6/4 + 1/8y = 2
1/8y = 1/2
y = 4
Answer:
x=55
a=11.47
Step-by-step explanation:
To find x we add all the angles in the triangle. The three angles in a triangle add to 180 degrees
35+x+90 = 180
Combine like terms
125+x=180
Subtract 125 from each side
125-125+x=180-125
x= 55
To find a
sin 35 = opposite side/ hypotenuse
sin 35 =a/20
Multiply each side by 20
20sin35 =a
11.47152873 =a
It looks like for all of these we will be using the Pythagorean theorem.
If you don't know what this is or how to apply it, go to the website "Khan Academy" and watch his video(s) on it. I would suggest going to that site whenever you don't understand something in math :)
I'll just be giving you the answers and won't explain what I'm doing, but please do go to Khan Academy to find out how to do it on your own!!
Anyway, onto the answers.
1) a = 12.5, b = 5.7, c = 13.7.
2) 24
3) 19.2
4) 6.4
5) 18.7
6) 98.5
7) 1.9
Hope this helps!!!
Answer:
49
Step-by-step explanation:
He recieved 8 ticket (even number) per day for 7 days. 8×7=56
56 tickets ÷ 7 days
would equal to him receiving 8 tickets every one of the 7 days.