ab^2 = be^2 + ae^2 pythagorean theorem e is the point below b
6.5^2 = 6^2 + ae^2
42.25 = 36 +ae^2
6.25 = ae^2
2.5 = ae
23 = ae +ef +fd f is the point below c
23 = 2.5 + 9 +fd
fd = 11.5
tan D = opp/adj
tan D= cf /fd
tan D = 6/11.5
D = tan^-1 (6/11.5)
D =27.5528
D = 27.6 degrees
Answer: 17 and 31
Step-by-step explanation:
first number = x
second number = y
x+y=48
-(x-y=14)
---------------
2y=34
y=17
x=31
We have
mean=mu=170
standard deviation=sigma=5
can now calculate the Zmin and Zmax using Z=(X-mean)/standard deviation
Zmin=(165-170)/5=-1
Zmax=(175-170)/5=+1
From normal probability tables,
P(z<Zmin)=P(z<-1)=0.15866
P(z<Zmax)=P(z<+1)=0.84134
P(165<x<175)=P(Zmin<z<Zmax)=0.84134-0.15866= 0.68269
8*0=0 and 8+0=8
the answer is 8 and 0
