The shape of the water is that of a "spherical cap." The formula for the volume of a spherical cap is ...
... V = π·h²·(r -h/3) . . . . . . . from web search
For a radius of 5 in, this is
... V = π·h²·(5 -h/3) . . . . in³
_____
For h=0
... V = π·0²·(5 -0/3) = 0
For h=5 in
... V = π·(5 in)²·((5 -5/3) in) = (2/3)π·5³ in³ . . . . . the volume of a hemisphere of radius 5
Answer:
<h2>76904685 ways</h2>
Step-by-step explanation:
Given data
the number of students n=40
the number of groups r= 8
We are going to use the combination approach to solve the problem
nCr= n!/r!(n-r)!
substituting into the expression for the number of ways we have
40C8= 40!/8!(40-8)!
nCr= 40!/8!(32)!
nCr= 40!/8!(32)!
nCr= 40*39*38*37*36*35*34*33*32!/8!(32)!
nCr= 40*39*38*37*36*35*34*33*/8!
nCr= 40*39*38*37*36*35*34*33*/8*7*6*5*4*3*2
nCr= 3100796899200/40320
nCr=76904685 ways
It seems that you missed the essential details for this question, but anyway, I have found the complete question. So given that angles m<A=32 and m<B=55, let us find first for the measure of angle c. So m<C= <span>180 - 32-55 = 93, so it is 93. Based on these measurements, Triangle ABC is an obtuse triangle. By definition, an obtuse triangle is a triangle in which one of its angles is obtuse or which measures more than 90 degrees. Hope this answer helps.</span><span>
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19x-15 = 15x -7
4x = 8
x =2
19(2) -15 = 23
15(2) -7 = 23
