Answer:
B 41.4
Step-by-step explanation:
complete Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
with "c" being the side opposite of the angle C.
=>
8² = 10² + 12² - 2×10×12×cos(C)
64 = 244 - 240×cos(C)
240×cos(C) = 244 - 64 = 180
cos(C) = 180/240 = 18/24 = 3/4 = 0.75
C = 41.40962211... ≈ 41.4
Answer:
Step-by-step explanation:
Let's draw the given information first for better understanding . Check the image attached.
We can use cosine rule to find the angles .
for angle A ,



m∠A = 48.35 degrees
Similarly for angle B



m∠B = 94.94 degrees
Now use A+B+C=180 degrees
48.35+94.94+C=180
C=180-48.35-94.94
m∠C = 36.71 degrees
The first answer is C.
The second answer is A.
Answer:
0.36
Step-by-step explanation:
Percentage of boys = 60%
Percentage of girls = 100 - 60 = 40%
Percentage of boys that arrive by car
= 20% of 60%
= 0.2 x 60 = 12%
Percentage of girls that arrive by car
= 60% of 40%
= 0.6 x 40
= 24%
Total Percentage of children arrive by car
= 12 + 24
= 36%
P(Arrive by car)
= 36%
= 0.36
Plug in numbers in for x.
If you plug in 0 then you get 1. 1/0 is undefined
If you plug in 1 then you get 6. 6/1 is 6
If you plug in 2 then you get 11. 11/2 is 5.5
If you plug in 3 then you get 16. 16/3 is 5.3 repeating
If you plug in 4 then you get 21. 21/4 is 5.25
If you plug in 5 then you get 26. 26/5 is 5.2
It would only be proportional if you got the same answer after dividing each time.