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Amanda [17]
3 years ago
13

On the school playground, the slide is 12 feet due west of the tire swing and 16 feet due south of the monkey bars. What is the

distance between the tire swing and the monkey bars?

Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Answer:

The distance between the tire swing and the monkey bars is 20 feet.

Step-by-step explanation:

We have drawn the diagram four reference.

Given:

the slide is 12 feet due west of the tire swing

So according the diagram;

TS = 12 feet

Also Given:

slide is 16 feet due south of the monkey bars.

So according the diagram;

MS = 16 feet

We need to find the distance between the tire swing and the monkey bars.

according to diagram we need to find the MT.

Solution:

assuming it to be right angle triangle with right angle at S.

we have;

In Δ MTS;

\angle S = 90\°

TS = 12 feet

MS = 16 feet

Now applying Pythagoras theorem which states that;

"Sum of the square of the two side of the triangle is equal to square of the hypotenuse."

framing in equation form we get;

MT^2=TS^2+MS^2

Substituting the values we get;

MT^2= 12^2+16^2= 144+256 =400

Taking square root on both side we get;

\sqrt{MT^2}=\sqrt{400} \\ \\MT =20\ ft

Hence the distance between the tire swing and the monkey bars is 20 feet.

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Given Information:

Cost price = $4

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Salvage value = $1.50

Average demand = μ = 250 boxes

Standard deviation = σ = 34 boxes

Required Information:

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Answer:

The supermarket should purchase 268 boxes  of lettuce

Step-by-step explanation:

The required number of lettuce boxes that supermarket should purchase is given by

Number of lettuce boxes = μ + (z*σ)

Where μ is the average demand of lettuce boxes, σ is the standard deviation, and z is the z-score which is given by

p = C_us/(C_us + C_os)

The z-score corresponding to probability p will be obtained.

The cost of under stocking is given by

C_us = Selling price - Cost price

C_us = $10 - $4

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C_os = $4 - $1.50

C_os = $2.50

p = C_us/(C_us + C_os)

p = 6/(6 + 2.50)

p = 0.7058

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The z-score corresponding to 70.58% probability is approximately 0.54

Number of lettuce boxes = μ + (z*σ)

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How to use z-table?

Step 1:

In the z-table, find the probability you are looking for and note down the two-digit number of the given row. (e.g 0.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table and note down the value in the column for the remaining decimal point in the range of 0.00 to 0.09.

Step 3:

Finally, add the numbers obtained from step 1 and step 2.

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