Answer:
the volume of the cone is 339.29
Step-by-step explanation:
The number of ways that the company can choose four workers is 40920 ways.
<h3>How to calculate the number?</h3>
From the information, the building company employs 3 laborers 12 joiners 8 electrician 4 plumbers. The total number of workers will be:
= 3 + 12 + 8 + 4
= 27 workers
It should be noted that combination will be used to choose the 4 workers. This is illustrated as
Combination formula
ⁿCr = n! / ((n – r)! r!)
n = the number of items.
r = how many items are taken at a time.
where n = 33
r = 4
ⁿCr = n! / ((n – r)! r!)
³³C₄ = 33! / (33 - 4)! 4!
= 33! / 29! 4!
= 33 × 32 × 31 × 30 / 4 × 3 × 2
= 40920 ways
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We have that
A(-2,-4) B(8,1) <span>
let
M-------> </span><span>the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3
we know that
A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
</span>distance MB is equal to (3/5) AB
<span>so
step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
</span>Mx=-2+(2/5)*10-----> Mx=2
step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2
the coordinates of point M is (2,-2)
see the attached figure
Answer:
69
Step-by-step explanation:
term = 159 - 3n
I got you. The answer would be A (Certificate)