If you sketch the triangle, you need to understand that 12 is the length of opposite side (opposite to theta). Then the longest side is 13 is the hypotenuse. The other side with length 5 is the adjacent side. Thus from the definition of sin(theta)=opposite side/hypotenuse=12/13. A question for you, what is cos(theta)? cos(theta)=5/15 and tan(theta)=12/5
Answer: 7/145
Step-by-step explanation:
The probability that the first student walks to school will be: = 7/30.
The probability of selecting the second student that walks to school will be: = 6/29.
Then we multiply both together and this will be:
= 7/30 × 6/29
= 7/145
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Let
y ----> the total amount of savings
x ----> the number of months
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
<em>Herman</em>
The slope is equal to 
The y-intercept is 
substitute
----> equation A
<em>Jackie</em>
The slope is equal to 
The y-intercept is 
substitute
----> equation B
Part 1) In how many months will they have the same amount of savings?
equate equation A and equation B

solve for x



Part 2) How much will each of them have saved?
substitute the value of x=10 months in any of the equations
equation A

equation B

Answer:
41.0704225352 or 284x/9 + 0
Step-by-step explanation:
Step-by-step explanation:
first, distribute 7 to 6m (this means 7 • 6m)
7 • 6m = 42m
then distribute 7 to 7 (which is 7 • 7)
7 • 7 = 49
your simplified expression is <u>42m + 49</u>. i hope this helps! have a great day <3