Answer/Step-by-step explanation:
Recall: SOH CAH TOA
✔️Find <A:
Reference angle (θ) = A
Opposite side = 14 cm
Hypotenuse = 20 cm
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin A = 14/20
A = 
m<A = 44° (nearest whole number)
✔️Find <C:
Reference angle (θ) = C
Adjacent side = 14 cm
Hypotenuse = 20 cm
Apply CAH:
Cos θ = Adj/Hyp
Substitute
Cos C = 14/20
C = 
m<C = 46° (nearest whole number)
✔️Find AB:
Reference angle (θ) = C = 46°
Opposite side = AB
Hypotenuse = 20 cm
Apply SOH:
Sin θ = Opp/Hyp
Sin 46° = AB/20
20*Sin 46° = AB
AB = 14.4 cm (one decimal place)
Answer:
This is khan academy. I am pretty sure they have a video for this but whatever.
Step-by-step explanation:
So we are using sin, cosine, and tan. 3.4 is the hypotenuse. the side is X. The angle is 20 degrees. So, this is adjacent to hypotenuse. This means it is cosine.
3.4cos(20)= around 3.19
And thats that! let me know if this is wrong and I will try to fix it.
Answer:
66.26 kg
Step-by-step explanation:
weight = mass x g ; where g = acceleration due to gravity = 9.81 m/s²
mass = weight ÷ g
given, weight = 650 N
mass = 650 / 9.81 = 66.26 kg
Answer:
C. (36337.32, 48968.68)
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 42653 - 6315.68 = 36337.32.
The upper end of the interval is the sample mean added to M. So it is 42653 + 6315.68 = 48968.68.
So the correct answer is:
C. (36337.32, 48968.68)
3 3/4 + 1 1/4 + 2 2/4
3/4 + 1/4 + 2/4 = 1 1/2
3 + 1 + 2 + 1 1/2 = 7 1/2 cups total
