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3 years ago

The perimeter of a rectangle is 86cm. Its shortest side has a length of 16cm. State the length of the longest side.

Mathematics

1 answer:

Artyom0805 [142]3 years ago

7 0

Answer: length = 27 cm

Step-by-step explanation:

Perimeter = 2(l + w)

86 = 2(l + 16)

86 = 2l + 32

86 - 32 = 2l

l = 54/2 = 27 cm.

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You want to build a fence around a square garden that covers 506.25 square feet. How many feet of fence will you need to complet

Stolb23 [73]

The area of a square is (length of side)^2 , the perimeter of a square is 4*(length of side)

Then your answer is 4 * sq rt (506.25 f`t^2) = 4 * 22.5 ft =

= 90 ft of fenceSource(s):

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3 years ago

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Solve. f/5 - 24 = -28 f =

jeka94

Answer:

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Step-by-step explanation:

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Prepare a perpetual inventory record, using the FIFO inventory costing method, and determine the company's cost of goods sol

krek1111 [17]

Answer:

The First-In, First-Out (FIFO) inventory costing method assumes that the inventory items ordered first are the first ones sold.

Step-by-step explanation:

The First-In, First-Out inventory costing method assumes that the inventory items ordered first are the first sold. This is ideal for goods that are highly perishable, for example fresh milk. Since no figures or dates are given, we will assume that the month is March 2019 and use any figures to make the example.

Date Item Quantity of stock Cost Price

01 Opening stock bought on Feb 28 10 100

05 Sale of 5 goods (cost is $10 each) (5) 50

15 Purchase of stock (20 goods at $20 each) 20 400

25 Sale of 15 goods (15) 250

(5 at $10 each & 10 at $20 each)

31 Closing Stock 10 200

(20 goods bought on 15th - 10 goods sold on 25th)

The quantity on hand at the end of the month is 10 units.

Total cost of goods on hand at end of the month = 10 units * $20 = 200.

Total cost of goods purchased during the month = $20 * 20 units = $400

Total cost of goods sold during the month = [($10 *5) + ($10 * 5)+ ($20 * 10)] = $200

6 0

3 years ago

Point A(–4, 2) is reflected over the line x = 3 to create the point A'. What are the coordinates of A'?. . A. (–4, –1). B. (–4,

viva [34]

The answer is D (10,2)

5 0

3 years ago

A rectangular parking area measuring 5000 ft squared is to be enclosed on three sides using chain-link fencing that costs $5.5

kaheart [24]

Answer:

Dimensions: 75.3778 ft and 66.3325 ft

Minimum price: $1658.31

Step-by-step explanation:

Let's call the length of the parking area 'x', and the width 'y'.

Then, we can write the following equations:

-> Area of the park:

x * y = 5000

-> Price of the fences:

P = 2*x*5.5 + y*5.5 + y*7

P = 11*x + 12.5*y

From the first equation, we have that y = 5000/x

Using this value in the equation for P, we have:

P = 11*x + 12.5*5000/x = 11*x + 62500/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

dP/dx = 11 - 62500/x^2 = 0

x^2 = 65000/11

x = 250/sqrt(11) = 75.3778 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x*y = 5000

y = 5000/75.3778 = 66.3325

P = 11*x + 62500/x = $1658.31

5 0

3 years ago