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adoni [48]
4 years ago
6

Find the coordinates of point b on ac such that the ratio of AB to BC is 2:1

Mathematics
1 answer:
AnnyKZ [126]4 years ago
3 0

Answer:

(-2, 3)

Step-by-step explanation:

The point B is:

B(x,y)

x

AB(A to B) is twice BC(B to C)

AB is 2 - x. BC is x - (-4) = x + 4.

So

2 - x = 2(x + 4)

2 - x = 2x + 8

3x = -6

x = -2

y

Same logic as above.

AB is -5 - y. BC is y - 7.

-5 - y = 2(y - 7)

-5 - y = 2y - 14

3y = 9

y = 3

The point is (-2, 3).

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A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 250 cubic feet. The concrete f
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Answer:

the dimensions of the most economical shed are height = 10 ft and side 5 ft

Step-by-step explanation:

Given data

volume = 250 cubic feet

base costs = $4 per square​ foot

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material for the sides costs = ​$2.50 per square foot

to find out

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solution

let us consider length of side x and height is h

so we can say x²h = 250

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now cost of material  = cost of base + cost top + cost 4 side

cost  = x²(4) + x²(6)  + 4xh (2.5)

cost = 10  x² + 10xh

put here h = 250 / x²

cost = 10  x² + 10x (250/ x² )

cost = 10  x² +  (2500/ x )

differentiate and  we get

c' = 20 x - 2500 / x²

put c' = 0 solve x

20 x - 2500 / x²  = 0

x = 5

so we say one side is 5 ft  base

and height is  h = 250 / x²

h = 250 / 5²

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3 0
3 years ago
The nine ring wraiths want to fly from barad-dur to rivendell. rivendell is directly north of barad-dur. the dark tower reports
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The speed v_{W/A} is what we want to find - this is the speed at which the wraiths are flying in the air.

(Note: \vec v denotes velocity, while v denotes speed)

Velocity of air relative to the ground:

\vec v_{A/G}=((69\,\mathrm{mph})\cos180^\circ,(69\,\mathrm{mph})\sin180^\circ)=(-69,0)\,\mathrm{mph}

The ring wraiths want their trajectory to be due north, which means their velocity relative to the ground should be

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To an observer on the ground, v_{W/G} is the speed at which the wraiths would appear to be moving in the air.

The relative velocities satisify

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Step-by-step explanation:

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