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!
Let c represent the cost of bus fare per week
5c = $115
c = $25
The student spends $25 per week for bus fare so the rate is $25
The equation to determine the total cost for "x" number of weeks is:
y = $25x
Answer:
Area of Rectangle = length times width
lets say length = 2x-4
width = x+5
Note: you can switch these around, width could be 2x-4 and length could be x+5, it doesnt matter.
With that being said:
length * width = area
(2x-4)(x+5)=area
Answer: The student's estimate is off by 12%
Answer:
x^3 <-- exponent, x to the power of three
Explanation:
x(x+2)(x+4)
=(x(x+2))(x+4)
=(x(x+2))(x)+(x(x+2))(4)
=x^3+2x^2+4x^2+8x
=x^3+6x^2+8x
