Sorry I can't do number six, but the answer to number five should be ≈24.01 using the cosine ratio.
12/15 = 400/500
500 people took the survey.
Answer:
angle 1
Step-by-step explanation:
Using the trigonometric mnemonic SOH CAH TOA, we know that cos or cosine is the ratio between the adjacent side and hypotenuse side.
This means that if cos A = 0.48, A is the measure of the angle which it's relative adjacent side divided by the hypotenuse of the triangle will be around 0.48.
Let's try angle 2, cos (angle 2) = adjacent / hypotenuse = 7.8 / 8.9 = 0.876404494382 ≈ 0.87 ≠ 0.48. Since the proportions are not equal, this angle cannot be the one marked as A.
Since angle 3 is a right angle, the adjacent could be either side so it cannot be correct. Thus angle 1 is correct.
We know that
1 hour----------> 60 min
step 1
convert hours to minutes
<span>4:15---------> 4 hour +15 minutes------> 4*60+15-----> 255 minutes
step 2
</span><span>subtract 45 minutes
</span>255-45--------> 210 minutes
step 3
convert to hour
1 hour----------> 60 min
x-----------------> 210 min
X=210/60---------> X=3.5 hour
3.5 hour
that means
3 hour+0.5 hour
and 0.5 hour is-----------> 0.5*60----> 30 minutes
therefore
3.5 hour-------> 3 hour +30 minutes-------->3:30 pm
the answer is
3:30 pm
