Rewriting the left hand side,
csc²t - cost sec t
= (1/sin²t)-(cost)(1/cost)
= 1/sin²t - 1
= 1/sin²t - sin²t/sin²t
= (1-sin²t)/sin²t
= cos²t/sin²t
= cot²t
R = ((3V)/((pi)(h^2))+h)/3
We have that
the volume of a right square pyramid ---------- > (1/3)b²h
Let
V1------------ > initial volume
V1=(1/3)b²h
<span>if its height is multiplied by 8
</span>
V2=(1/3)b²(8h)-------------- > V2=V1*8
therefore
the answer is the option D
the factor is is 8
Step-by-step explanation:
a = age of Alex
l = age of Lucy
m = age of Megan
a + l + m = 126
l = 3a
l = m + 7
=>
a = l/3
m = l - 7
we are using that in the first equation :
l/3 + l + l - 7 = 126
l + 3l + 3l - 21 = 378
7l = 357
l = 357/7 = 51
a = l/3 = 51/3 = 17
m = l - 7 = 51 - 7 = 44
the ratio of the age of Lucy to Alex to Megan is
51 : 17 : 44
