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Sophie [7]
3 years ago
15

How many acres are contained in a parcel described as follows: The NE ¼ of the NW ¼; the N ½ of the NW ¼, NE ¼, of Section 10?

Mathematics
1 answer:
olga2289 [7]3 years ago
3 0

Answer:

   1.25 acres

Step-by-step explanation:

If we assume that both the semicolon (;) and the comma (,) mean "of the", then this will be ...

  (1/4)(1/4)(1/2)(1/4)(1/4) of 640 acres = 1.25 acres

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3 years ago
A rectangular box is designed to have a square base and an open top. The volume is to be 500in.3 What is the minimum surface are
mr_godi [17]

The minimum surface area that such a box can have is 380 square

<h3>How to determine the minimum surface area such a box can have?</h3>

Represent the base length with x and the bwith h.

So, the volume is

V = x^2h

This gives

x^2h = 500

Make h the subject

h = 500/x^2

The surface area is

S = 2(x^2 + 2xh)

Expand

S = 2x^2 + 4xh

Substitute h = 500/x^2

S = 2x^2 + 4x * 500/x^2

Evaluate

S = 2x^2 + 2000/x

Differentiate

S' = 4x - 2000/x^2

Set the equation to 0

4x - 2000/x^2 = 0

Multiply through by x^2

4x^3 - 2000 = 0

This gives

4x^3= 2000

Divide by 4

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Take the cube root

x = 7.94

Substitute x = 7.94 in S = 2x^2 + 2000/x

S = 2 * 7.94^2 + 2000/7.94

Evaluate

S = 380

Hence, the minimum surface area that such a box can have is 380 square

Read more about surface area at

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5 0
2 years ago
The theoretical probability of an event is the number of desired outcomes divided by all possible outcomes. What is the probabil
malfutka [58]

The theoretical probaility of drawing an ace from a shuffled deck of playing cards is 1/13.

According to the given question.

A card is drawn from a shuffled standard deck.

Since, the total number of cards in a shuffled standard deck = 52

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As, we know that "the theoretical probability of an event is the number of desired outcomes divided by all possible outcomes".

Therefore, the theoretical probabability of drawing an ace from a shuffled deck of playing cards

= 4/52

= 1/13

Hence, the theoretical probaility of drawing an ace from a shuffled deck of playing cards is 1/13.

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