Triangle ABC and triangle DCE are congruent, so line DE = line AB
Use the cosine rule to find angle ACB
![52.2^{2}= 50^{2}+ 70^{2}-(2*50*70*cos(ACB))](https://tex.z-dn.net/?f=%2052.2%5E%7B2%7D%3D%2050%5E%7B2%7D%2B%20%2070%5E%7B2%7D-%282%2A50%2A70%2Acos%28ACB%29%29%20%20%20%20)
![2724.84=7400-(7000cos(ACB))](https://tex.z-dn.net/?f=2724.84%3D7400-%287000cos%28ACB%29%29)
![2724.84-7400=-7000cos(ACB)](https://tex.z-dn.net/?f=2724.84-7400%3D-7000cos%28ACB%29)
![-4675.16=-7000cos(ACB)](https://tex.z-dn.net/?f=-4675.16%3D-7000cos%28ACB%29)
![\frac{4675.16}{7000}=cos(ACB)](https://tex.z-dn.net/?f=%20%5Cfrac%7B4675.16%7D%7B7000%7D%3Dcos%28ACB%29%20)
![Angle ACB= cos^{-1} ( \frac{4675.16}{7000})](https://tex.z-dn.net/?f=Angle%20ACB%3D%20cos%5E%7B-1%7D%20%28%20%5Cfrac%7B4675.16%7D%7B7000%7D%29%20)
Angle ACB = 48.1°
Divide both sides by eight
X\times 2 bc it is correct I think I’m not sure but yeah
It's the formula. Base times height.
For example: if 50 is the base and 10 is the height, just multiply them both.
50 x 10 = 500. And I don't think you add area-that's for finding the perimeter
Answer:
Z - score = 2.83
Step-by-step explanation:
Given the following :
Number of samples (N) = 60
Sample mean (x) = 41.9mg
Population mean (μ) = 40mg
Population standard deviation (sd) = 5.2
Using the relation :
Z = (x - μ) / (sd / √N)
Z = (41.9 - 40) / (5.2 / √60)
Z = 1.9 / (5.2 / 7.7459666)
Z = 1.9 / 0.6713171
Z = 2.8302570
Therefore, the z-score = 2.83