Answer:
Uh that's great- you missed something I'm sure
Step-by-step explanation:
<h3>
Answer: 0.5</h3>
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Explanation:
The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.
We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.
This leaves sin(B)/b
We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.
The angle opposite side c is 15 degrees, so C = 15.
The lowercase letters represent side lengths, while the uppercase letters are angles.
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We have enough to apply the law of sines to solve for side c.
sin(B)/b = sin(C)/c
sin(105)/2 = sin(15)/c
c*sin(105) = 2*sin(15) ............. cross multiply
c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)
c = 0.53589838486224
c = 0.5
Side c is roughly 0.5 cm long.
Make sure your calculator is in degree mode.
Answer:
x = 5
Step-by-step explanation:
4x = 7 - 8x - 27
1) Combine like terms (7 and -27). So, 7 + (-27) = -20.
4x = 8x - 20
2) Subtract 8x from both sides of the equation. So, 4x - 8x = -4x.
-4x = -20
3) Divide both sides by -4. So, -20 / -4 = 5.
x = 5
Answer: her monthly payments would be $267
Step-by-step explanation:
We would apply the periodic interest rate formula which is expressed as
P = a/[{(1+r)^n]-1}/{r(1+r)^n}]
Where
P represents the monthly payments.
a represents the amount of the loan
r represents the annual rate.
n represents number of monthly payments. Therefore
a = $12000
r = 0.12/12 = 0.01
n = 12 × 5 = 60
Therefore,
P = 12000/[{(1+0.01)^60]-1}/{0.01(1+0.01)^60}]
12000/[{(1.01)^60]-1}/{0.01(1.01)^60}]
P = 12000/{1.817 -1}/[0.01(1.817)]
P = 12000/(0.817/0.01817)
P = 12000/44.96
P = $267
