Remember: SOH-CAH-TOA
Sine (of an angle!) = opposite / hypotenuse
We're looking at angle M here, to find the sine of M. Looking from angle M, the side that is opposite is NO and the hypotenuse is MO.
sin(M) = NO / MO = NO / 13
We do not know NO, but we can use the Pythagorean theorem to find NO because this is a right triangle.
Pythagorean theorem: a^2 + b^2 = c^2
---a and b are legs of the triangle, c is the hypotenuse
12^2 + b^2 = 13^2
144 + b^2 = 169
b^2 = 25
b = 5
NO = 5
sin(M) = NO / MO = 5 / 13
Answer: sin(M) = 5 / 13
Hope this helps!
A(n) = 16 + 8(n - 1)
A(16) = 16 + 8(16 - 1)
A(16) = 16 + 120
A(16) = 136 people
Put a point on the y-intercept at -3. then just go down 3 and over 2
Answer:
a = 32
Step-by-step explanation:
This is a right triangle and the square value of hypotenuse is equal to sum of square value of other two side lengths
68^2 = 60^2 + a^2
4624 = 3600 + a^2
4624 - 3600 = a^2
1024 = a^2 find the root for both sides
32 = a
Answer:
sandwiches is £1.8
bottle water = £1.2
Step-by-step explanation:
Given data
let cheese sandwiches be x
and bottle water be y
3x+2y= 7.8------------1
5x+4y= 14.20---------2
solve 1 and 2
3x+2y= 7.8------------1*5
5x+4y= 14.20---------2*3
15x+10y= 39
- 15x+12y= 42.6
-2y = -3.6
y= 3.6/2
x=1.8
Put x= 1.8 in 1
3(1.8)+2y= 7.8
5.4+2y= 7.8
2y= 7.8-5.4
2y=2.4
y= 2.4/2
y= 1/2
Hence cheese sandwiches is £1.8
bottle water = £1.2
