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: 7.3x + 5
Step-by-step explanation:
For us to solve the question, we have to solve 5.2x+8+2.1x-3 and the answer gotten will allow us know the equivalent expression.
= 5.2x+8+2.1x-3
= 5.2x + 2.1x + 8 - 3
= 7.3x + 5
Therefore, the correct answer is 7.3x + 5
Answer: 20%
Step-by-step explanation:
There are 15 total cookies. Divide 3 by 15, 3 being how many cookies he took out. Then you get 0.2. Move the decimal over two and you have 20%.
Seventh graders, sixth graders, then eighth graders
Answer:
Step-by-step explanation:
If the equation of height of a man is modeled by the function y = 1.6x + 48 where;
y is the height of a man
x is the shoe size
To get the approximate shoe size for a man having a height of 60 inches, we will substitute y = 60 into the formula ans solve for x as shoen;
y = 1.6x + 48
60 = 1.6x + 48
1.6x = 60-48
1.6x = 12
x = 60/1.6
x = 7.5
x = 7 1/2
Hence the approximate shoe size for a man having a height of 60 inches is 7 1/2