Answer:
Step-by-step explanation:
4.
2ab cos C=a²+b²-c²
2×31×14 cos C=31²+14²-40²
868 cos C=961+196-1600=-443
cos C=-443/868
C=cos^{-1}(-443/868)≈120.688≈120.69°
5.
by sine formula
m∠B=180-(62+55)=180-117=63°

Answer:
70
Step-by-step explanation:




First , convert the mixed number (the fraction we are dividing by in the given maths problem) into an improper fraction .
Multiply the whole part (1) times the denominator (4) and add the numerator . The result is the numerator of our fraction , and the denominator stays the same .
So now our maths problem looks as follows :

Now turn the fraction you are dividing by over :

Now multiply the numerator of the first fraction times the numerator of the second fraction :
4
Perform the same operation with the denominators :
-4/14
So the result is :

Since the above fraction is not in it's simplest form , we divide the top and bottom by 2 (a common factor of both 4 and 14) :


Answer:
Answer 24 cm^3
Step-by-step explanation:
If the dimensions are 1/2 the volume is 1/8 the original volume. There are 2 ways to do this. I'm going to choose the most straight forward.
Formula
V = L * w * h
Givens
L = 6
w = 8
h = 4
Solution
V_original = 6 * 8 * 4 = 192
V_half = 3 * 4 * 2 = 24
V_original / V_half = 192/24 = 8/1
So the other way around (V_half/V_original) = 1/8
Answer:
Step-by-step explanation:
15 ×5= 75
You owe 75$