1-3 are about trigonometric ratios (SOH CAH TOA). 4, 5 are about the Law of Cosines, and 6 uses the Law of Sines.
1. Sin = Opposite/Hypotenuse
x = 10*sin(40°) ≈ 6.428
2. Sin = Opposite/Hypotenuse
x = arcsin(7/12) ≈ 35.69°
3. Tan = Opposite/Adjacent
x = 18/tan(52°) ≈ 14.063
4. b^2 = a^2 +c^2 -2ac*cos(B)
B = arccos((a^2 +c^2 -b^2)/(2ac)) = arccos((7^2 +13^2 -8^2)/(2*7*13))
B = arccos(11/13) ≈32.20°
5. Same formula.
x = √(a^2 +c^2 -2ab*cos(B)) = √(157-132cos(42°)) ≈ 7.675
6. The ratio of side lengths is the same as the ratio of the sines of the opposite angles.
6/10 = sin(x)/sin(100°)
x = arcsin((6/10)*sin(100°)) ≈ 36.22°
the numbers should be
or
because you move the point 18 places to obtain 9.15(the dot is initially at the end of the number)
Answer:
80
Step-by-step explanation:
Rounding to the nearest tenth, we get:
100, 80, 40, 90, 80, 100, 90, 90, 80, 80, 80
Number no. of times
80 occurs 5 times (most of the times) so, 80 will be the mean.
HOPE THIS HELPS YOU
Follw me = 10 thanks
Mark as brainliest = 10 thanks
1 thanks to me = 2 thanks
Answer:
Step-by-step explanation:
Based on the information provided we can create the following direct proportion equation...
D = 3.5x
In this equation, the variable D represents the distance that Brianna has walked while the variable x represents the number of hours she walked. In this equation, the constant of proportionality would be the 3.5 miles that Brianna walks per mile. This value affects the entire equation because it is multiplied by the number of hours Brianna walks which is directly proportional to the Distance she travels, as one value increases so does the other.
Answer:
x=130 I believe
Step-by-step explanation:
28+8+14+x=180
50+x=180
x=130
