Answer:
x = 165, y = 15
Step-by-step explanation:
1. Well, what does supplementary mean? - The angles add up to 180°.
2. Let's form an equation: x + y = 180°
3. Let's say x is the larger angle and y is the smaller angle.
4. Let's form another equation: x = 150 + y
5. Put the two equations next to each other:
x + y = 180
x = 150 + y
6. We know what x is equaled to, so let's plug it into the first equation!
150 + y + y = 180
150 + 2y = 180
-150 -150
2y = 30
y = 15
7. Now, we know what y is, let's find x!
x + 15 = 180
-15 -15
x = 165
Answer:
1.00 and 1.73
Step-by-step explanation:
1) Calculating the 1st and the 2nd leg using trigonometric function sine:
Once one leg is found there is another way to find the other leg, using Pythagorean Theorem too.
Sides
a hypotenuse: 2.00
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b leg: 1.73
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c leg: 1.00
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<h3>
Answer: $1,143.60</h3>
Work Shown:
A = P*(1+r/n)^(n*t)
A = 800*(1+0.18/12)^(12*2)
A = 1,143.60224954321
A = 1,143.60
Notes:
- P = 800 is the principal. It is the amount loaned to Jake.
- r = 0.18 is the decimal form of the 18% interest rate
- n = 12 because we're compounding monthly, i.e. 12 times a year
- t = 2 = number of years
- For more information, check out the compound interest formula.
