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vlabodo [156]
3 years ago
5

If you have 50 feet of fence, what shape would yield the greatest area in yards?

Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0

Answer:

Square

Step-by-step explanation:

Perimeter of a rectangle is

P=2(l+w)

Where l is length and w is width

Substituting 50 for P

50=2(l+w)

25=l+w

Making w the subject of formula then

w=25-l

Area is lw and substituting for w

A=l(25-l)=-l²+25l

A=-l²+25l

Getting firat derivative of A with respect to l

-2l+25=0

l=25/2=12.5 yards

Width will be 25-12.5=12.5 yards

The dimensions of length and width are same hence the shape is square

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Please help me !!!!<br> Will mark brainliest
stich3 [128]

Answer:

The value of x is 108°

Step-by-step explanation:

Given interior angles of parallelogram are:

\frac{2}{3}x, x, \frac{2}{3}x\ and x

<u>The sum of interior angles of a parallelogram is 360°.</u>

We will use this information to find the value of x.

So adding up all the angles and putting the sum equal to 360 we get,

x+\frac{2}{3}x+x+\frac{2}{3}x = 360

2x+\frac{2}{3}x+\frac{2}{3}x = 360\\2x + \frac{4}{3}x = 360

Taking LCM on left side of the equation, as it involves fraction

\frac{6x+4x}{3} = 360\\\frac{10x}{3} = 360

Multiplying both sides by 3

\frac{10x}{3} * 3 = 360 * 3\\10x = 1080

Dividing both sides by 10

\frac{10x}{10} = \frac{1080}{10}\\x = 108

Hence,

The value of x is 108°

3 0
3 years ago
The distance around a circle is a)diameter<br> B) circumference
topjm [15]
A). Diameter is the answer 
3 0
3 years ago
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Question 21 of 25
Korvikt [17]

Answer:

12

Step-by-step explanation:

Coefficient is the number before the variable

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3 years ago
What is the chemical formula of water.​
igor_vitrenko [27]

Answer:

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Step-by-step explanation:

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Use two unit multipliers to convert 600 miles to inches. ( Do not multiply out.)
Sphinxa [80]

Answer:

(600 mi) × (5280 ft/mi) × (12 in/ft)

Step-by-step explanation:

A "unit multiplier" is a multiplier that has a value of 1. That is, the numerator and denominator have the same value. For units conversion problems, the numerator quantity has the units you want, and the denominator quantity has the units you're trying to cancel.

You have units of miles. You know that ...

1 mile = 5280 feet

1 foot = 12 inches

You want to get to units of inches. With these conversion factors, you can do it in two steps (as the problem requests). The first conversion is from miles to feet using the unit multiplier (5280 feet)/(1 mile). This gives you a number of feet.

Then the second conversion is from feet to inches, so you use the one that lets you put inches in the numerator and feet in the denominator:

(12 inches)/(1 foot)

When you multiplie these all out, units of miles and feet cancel, and you're left with inches.

_____

With the above conversion factors, you can write unit mulipliers of either ...

(5280 ft)/(1 mi) . . . to convert to feet

or

(1 mi)/(5280 ft) . . . to convert to miles.

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3 years ago
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