Read and understand given problem situations.
Develop and use the strategy: Draw a diagram.
Plan and complete alternative approaches to solving problems.
Solve real-world problems using selected strategies as part of a plan.
Answer:
<u>______________________________________________________</u>
<u>TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-</u>
For any right angled triangle with one angle α ,
or 
or 
<u>SOME GENERAL TRIGNOMETRIC FORMULAS :-</u>
- <u></u>
or 
- <u></u>
or 
<u>______________________________________________________</u>
Now , lets come to the question.
In a right angled triangle , let one angle be α (in place of theta) .
So , lets solve L.H.S.



= R.H.S.
∴ L.H.S. = R.H.S. (Proved)
Answer:Brielle will run the half marathon race faster.Brielle will take 1 hour 44 minutes and 48 seconds, Joshua will take 2 hours 37 minutes and 12 seconds
Step-by-step explanation:
10 / 1.25 = 8
8 minutes a mile
18 / 1.5 = 12
12 minutes a mile
Brielle will run the half marathon race faster.
8 x 13.1 =104.8
12 x 13.1=157.2
104.8 - 60=
44.8
60 seconds x .8= 48
Brielle will take 1 hour 44 minutes and 48 seconds
157.2 - 120 = 37.2
60 seconds x .2 = 12
Joshua will take 2 hours 37 minutes and 12 seconds
Answer:
1) y = 5/2x - 3/2
2) y = 2/5x - 4/5
Step-by-step explanation:
1)
(1, 1) and (3, 6)
m = (y2 - y1)/(x2 - x1)
m= (6 - 1)/(3-1)
m= 5/2
m= 5/2
y - y1 = m(x - x1)
y - 1 = 5/2(x - 1)
y - 1 = 5/2x - 5/2
y = 5/2x - 3/2
2)
(2, 0) and (7, 2)
m = (y2 - y1)/(x2 - x1)
m= (2 - 0)/(7 - 2)
m = 2/5
y - y1 = m(x - x1)
y - 0 = 2/5(x - 2)
y = 2/5x - 4/5
Answer:
this means she ate an average of 30 raisins each day
so she ate 30 on the third day
so the amount she ate each day is like this
1. 16
2. 23
3. 30
4. 37
5. 44
16 + 23 +30 +37 +44=150