Answer:
216
Step-by-step explanation:
LCD = 30
200(3/30) = 600/30
^ do this process for each number
Answer:
y=mx+b :)
Step-by-step explanation:
She will need to bake about 9.3 cakes per day so the inequality would be c>/= (110-45) divided by 7 or C is greater than or equal too 9.3
Answer:
B
Step-by-step explanation:
Use the Law of Cosines to find the measure of segment c:
![c=\sqrt{a^2+b^2-2ab*cos(C)}\\\\c=\sqrt{12^2+13^2-2(12)(13)*cos(134)}\\\\c=\sqrt{313-312cos(134)}\\\\c=\sqrt{313-312(-.6946583705)}\\\\c=\sqrt{313-(-216.7334116)}\\\\c=\sqrt{313+216.7334116}\\\\c=\sqrt{529.7334116}\\](https://tex.z-dn.net/?f=c%3D%5Csqrt%7Ba%5E2%2Bb%5E2-2ab%2Acos%28C%29%7D%5C%5C%5C%5Cc%3D%5Csqrt%7B12%5E2%2B13%5E2-2%2812%29%2813%29%2Acos%28134%29%7D%5C%5C%5C%5Cc%3D%5Csqrt%7B313-312cos%28134%29%7D%5C%5C%5C%5Cc%3D%5Csqrt%7B313-312%28-.6946583705%29%7D%5C%5C%5C%5Cc%3D%5Csqrt%7B313-%28-216.7334116%29%7D%5C%5C%5C%5Cc%3D%5Csqrt%7B313%2B216.7334116%7D%5C%5C%5C%5Cc%3D%5Csqrt%7B529.7334116%7D%5C%5C)
c ≈ 23.01593821 km ≈ 23 km
Since c = 23 km, our only options are choices B and D. Now, let's find the measure of angle A to confirm. To do this we will use the Law of Sines:
![\frac{sin(A)}{a} =\frac{sin(C)}{c} \\\\\frac{sin(A)}{12}=\frac{sin(134)}{23.01593821}\\\\sin(A)=12(\frac{sin(134)}{23.01593821})\\\\A=sin^{-1}[12(\frac{sin(134)}{23.01593821})]\\\\](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%28A%29%7D%7Ba%7D%20%3D%5Cfrac%7Bsin%28C%29%7D%7Bc%7D%20%5C%5C%5C%5C%5Cfrac%7Bsin%28A%29%7D%7B12%7D%3D%5Cfrac%7Bsin%28134%29%7D%7B23.01593821%7D%5C%5C%5C%5Csin%28A%29%3D12%28%5Cfrac%7Bsin%28134%29%7D%7B23.01593821%7D%29%5C%5C%5C%5CA%3Dsin%5E%7B-1%7D%5B12%28%5Cfrac%7Bsin%28134%29%7D%7B23.01593821%7D%29%5D%5C%5C%5C%5C)
A ≈ 22.02726885° ≈ 22°
Since the measure of c = 23 km and the measure of angle A = 22°, the answer must be choice B.