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Evgen [1.6K]
2 years ago
10

5.

Mathematics
1 answer:
andrew-mc [135]2 years ago
4 0

Answer:

The  angle of depression from Platform A to Platform B is 43.1^{\circ}

Step-by-step explanation:

Refer the attached figure

The horizontal distance between the  platforms is 500 feet i.e. BC = 500

The length of the zip-line is 685 feet i.e. AB = 685

We are supposed to find the  angle of depression from Platform A to Platform B

Hypotenuse = 685

Base = 500

Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}

Hence  the  angle of depression from Platform A to Platform B is 43.1^{\circ}

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Answer:

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Step-by-step explanation:

Suppose we have two points:

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The distance between these points is:

D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}

Distance between:

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What is the sum of 2/10 + 6/100
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26/100 which is simplified to 13/50

Step-by-step explanation:

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1 year ago
An online furniture store sells chairs for $200 each and tables for $600 each. Every day, the store can ship a maximum of 32 pie
wolverine [178]

Answer:

If the minimum 13 chair were sold , then the minimum number of Table sold is 14

Step-by-step explanation:

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 32

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 32         .......1

200 C + 600 T = 12000         .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 32 × 200

I.e 200 C + 200 T = 6400

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 6400

Or, 400 T =  5600

∴  T = \frac{5600}{400}

I.e T = 14

Put The value of T in eq 2

So, 200 C + 600 × 14 = 12000

or , 200 C + 8400 = 12,000

Or, 200 C = 12000 - 8400

Or, 200 C = 3600

∴   C = \frac{3600}{200}

I.e C = 18

The number of chair sold is 18

If the number of chair sold is 13 ,

Then the min number of table sold = 200 × 18 + 600 T = 12000

i.e 600 T = 12000 - 3600

or, 600 T = 8400

∴   T = \frac{8400}{600}

I.e T = 14

Hence if the minimum 13 chair were sold , then the minimum number of Table sold is 14 . Answer

5 0
2 years ago
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