Answer:
27.23
Step-by-step explanation:
60.50 divided by .45
Answer:
a=22.6549
Step-by-step explanation:
Calculated based on 2 given angles and 1 given side.
∠C = 180° - A - B = 0.99484 rad = 57°
a = c·sin(A)/sin(C) = 22.6549
b = c·sin(B)/sin(C) = 12.33874
Circumference is Diameter * 3.14
so D * 3.14 = 31.4
31.4 / 3.14 = 10 so the diameter is 10.
the radius is half of the diameter so radius = 5 centimeters.
Hello!
To find the value of b, we need to use the Law of Sines. The law states,
sin A / a = sin B / b = sin C / c.
We are given these values: sin A = 55 degrees, side a = 8 cm, sin C = 82 degrees.
Since angle B is not given, we have to find it ourselves. We can find the measure of angle B by subtracting both the given angle values from 180 degrees because every triangle is equal to 180 degrees.
180 - 55 - 82 = 43 | The measure of sin B = 43 degrees.
sin (55) / 8 = sin (43) / b (multiply both sides by b)
0.10239... · b = 0.68199... (divide both sides by 0.10239...)
c = 6.6607...
The measure of side b is equal to about 6.7 centimeters.
The equation is 5c+25b=260 when c+b=12. rearrange that into 12-b=c. substitute and you get 5(12-b)+25b=260. b=10. 12-10=2, so 10 buses and 2 cars were used as transportation for the field trip.