1.
mean=average of all them
(a+b+c+d+e+f+g+h)/8=75
a+b+c+d+e+f+g+h=600
(a+b+c)/3=60
a+b+c=180
subsitute
a+b+c+d+e+f+g+h=600
180+d+e+f+g+h=600
minus 180 both sides
d+e+f+g+h=420
divvide both side by 5
(d+e+f+g+h)/5=84
the mean is 84
2.
1/3 are increased by 6
that means 30 of them are increased by 6
30*6=180
adds 180 to total
180/90=2
increases mean by 2
47+2=49
new mean is 49
c.
v=hpir^2
h=50ft, or 12*50in or 600in
r=1
v=600pi1^2
v=600pi
use 3.14
v=1884 cubic inches
Answer:
a) Only the first one is an identity.
Step-by-step explanation:
1). 8 cos O tan O csc O = 8 simplifies to:
cos O tan O csc O = 1
cos O * (sin O / cos O) * (1 /sin O)
= cos O sin O / cos O sin O
= 1
So it is identity.
2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O
= 13 sec^2 O - tan^2 O / cos^2 O
Now sec^2 O = 1 + tan^2 O, so we have:
(13( 1 + tan^2 O) - tan^2 O) / cos^2 O
= (12 tan^2 O + 13) / cos^2 O
This is not always = 2 so its not an identity.
The answer is 4.8
(4 tenths and 4 tenths = 8 tenths )
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