There are two -main- approaches to answer this problem. By using the sine identity, or applying law of sines.
We'll do the sine trig. identity, as it is the most effective.
Given an angle '
![\alpha](https://tex.z-dn.net/?f=%20%5Calpha%20)
' in a right triangle, '
![sin( \alpha )](https://tex.z-dn.net/?f=sin%28%20%5Calpha%20%29)
' is defined as the opposite side of the triangle to the given angle, over the triangle's hypotenuse.
So, for this setup:
![sin(20)= \frac{x}{10}](https://tex.z-dn.net/?f=sin%2820%29%3D%20%5Cfrac%7Bx%7D%7B10%7D%20)
Now, we solve for x:
So, answer is 3.4
3) 0.825
4) 0.1212
5) 0.5455
6) -7.177
7a) 0.066
b) 0.166
c) 0.333
d) 0.416
8) -2/5
9) -7 (32/100) = -7 (9/25)
10) 0.22222 = 2/9
Answer:
It will measure 75 millimetres on the plan.
Step-by-step explanation:
Given:
Scale on the plan = 1:100
Length of the fence = 7,500 mm
To find:
how many millimetres will it measure on the plan
Solution:
As the ratio on the plan is 1: 100, the for 7500 the ratio will
x : 7500
Now by cross multiplication we get
![7500 \times 1 = x \times 100](https://tex.z-dn.net/?f=7500%20%5Ctimes%201%20%3D%20x%20%5Ctimes%20100)
![7500 = 100x](https://tex.z-dn.net/?f=7500%20%3D%20100x)
![x =\frac{ 7500}{100}](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B%207500%7D%7B100%7D)
x = 75
Answer:
165
Step-by-step explanation:
since the ticket cost $5.50 per child
so $5.50*30=165
Answer: 5
Step-by-step explanation:
You see 2x2 = 4 right and since this is operation 2 / 10 = 5 and 6-5 = 1 so add 1 and that gives you 5
2x2 = 4 / 10/2 = 5 / 6-5 = 1 +4 = 5