I recommend learning the mnemonic SOHCAHTOA (it's very fun to say!)
Here is what SOHCAHTOA represents.
Sin - Opposite / Hypotenuse (SOH)
Cos - Adjacent / Hypotenuse (CAH)
Tan - Opposite / Adjacent (TOA)
The sine of an angle is the length of the side opposite of the angle divided by the length of the hypotenuse.
Thus, the length of the side opposite of the angle divided by the sine will give us the length of the hypotenuse.
The angle is 46 degrees. The length of the side opposite of the angle is 14. The hypotenuse is c.


The tangent of an angle is the length of the side opposite of the angle divided by the length of the side adjacent to the angle.
Thus, the length of the side opposite to the angle divided by the tangent of the angle will give us the length of the other leg.
The length of the side opposite to the angle is 14. The angle is 46. The unknown length of the side adjacent to the angle is b.


This should be what you are looking for. Enjoy!
Each person will get 5 stickers and 2 stickers will be left over
Answer:
50
Step-by-step explanation:
(14*14)+(48*48)=c2
196+2304=2500
squared root of 2500=50
Answer:
100 per deposit
Step-by-step explanation:
9514 1404 393
Answer:
see below
Step-by-step explanation:
Starting from the point-slope equation ...
y -y1 = m(x -x1)
Solving for y gives ...
y = mx +(y1 -m·x1)
So, the slope-intercept form equation is fairly easily found:
y = mx +b . . . . where m = m, and b = y1-m·x1
This is the equation we have used for 'b' in the attached spreadsheet.
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Of course, the formula for slope is ...
m = (y2 -y1)/(x2 -x1)
This is the equation we have used for 'm' in the attached spreadsheet. For all problems, we have used the first point. (It doesn't matter which point you use if there are two of them.)
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The second attachment is the Google Sheets spreadsheet saved in ODS format. Most spreadsheet programs should be able to open that so you can see the formulas, if you're interested. (The gray values of m are computed using the two points. The unshaded values of m are entered by hand.)
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I'll write a couple of equations in each group so you can see how the spreadsheet numbers relate:
y = mx +b
1. y = 2x -7
3. y = 2/3x +4
8. y = 1/3x -5
9. y = -5/2x +4