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mestny [16]
3 years ago
11

Chris wants to make an enclosed rectangular area for a mulch pile. She wants to make the enclosure in such a way as to use a cor

ner of her back yard. She also wants it to be twice as long as it is wide. Since the yard is already fenced, she simply needs to construct two sides of the mulch pile enclosure. She has only 15 feet of material available. Find the dimensions of the enclosure that will produce the maximum area
Mathematics
1 answer:
MrRissso [65]3 years ago
6 0
The enclosure having the maximum area would be square. Since Chris wants the aspect ratio to be 2:1, she will use 2/3 of the fence (10 ft) for the long side and 1/3 of the fence (5 ft) for the short side.

The enclosure having the maximum area meeting Chris's requirement is 10 ft × 5 ft.
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Consider this equation:
aleksandrvk [35]

Answer:

  • Plan: separate the variable term from the constant term; divide by the coefficient of the variable.
  • Steps: add 4 to both sides; collect terms; divide both sides by 3.

Step-by-step explanation:

The first step is to look a the equation to see where the variable is in relation to the equal sign, and whether there are any constants on that same side of the equal sign.

Here, the variable terms are on the left, and there is a constant there, as well. The plan for solving the equation is to eliminate the constant that is on the same side of the equation as the variable, then divide by the coefficient of the variable. To find that coefficient, we need to collect terms. In summary, the plan is to ...

  • add 4 to both sides of the equation
  • collect terms
  • divide by the coefficient of the variable (3)

Executing that plan, the steps are ...

  -2x -4 +5x +4 = 8 +4 . . . . add 4

  3x = 12 . . . . . . . . . . . . . . . collect terms

  x = 4 . . . . . . . . . divide by 3

4 0
3 years ago
A pancake recipe requires 1 & 2/3 cups of flour to make 20 pancakes and you have 9 cups of flour. How many pancakes can you
wolverine [178]

Answer: 108 pancakes

Step-by-step explanation:

if you make 20 pancakes with  1 and 2/3 of flour,

with 9 cups you will make

(20*9)/ 1 &2/3

1  2/3= 5/3 we enter the whole in the fraction

(180)/(5/3)= 180*3/5=108 pancakes

8 0
3 years ago
Ian has the option of purchasing or renting a home. The purchase option requires a loan of $100,000 for a 20-year term at a 4.9%
jenyasd209 [6]

Answer:

The correct answer to the following question will be "70.56".

Step-by-step explanation:

The given values are:

Loan requires, PV = $100,000

Years = 20

Number of months, n = 240

Rate interest = 4.90000%

Monthly rate, r = 0.408333%

Monthly rental payment = $725

As we know,

PV=PMT\times (\frac{1}{r})\times [1-[\frac{1}{(1+r)^n}]]

On putting the values in the above formula, we get

⇒  100000=PMT\times (\frac{1}{0.004083333})\times [1-(\frac{1}{(1+0.004083333^{240})})]

⇒  100000=PMT\times 152.8014557

⇒  PMT=\frac{100000}{152.8014557}

⇒  PMT=654.44

Now,

Saving \ Per \ Month =Rent \ per \ month-PMT

On putting the values, we get

⇒                             =725-654.44

⇒                             =70.56

3 0
3 years ago
Please help me with this
Tju [1.3M]

Answer:

Option 2: m∠1 = 147°, m∠2 = 80°, m∠3 = 148°

Step-by-step explanation:

Step 1: Consider triangle ABC from the picture attached below.

Lets find angle x

x + 47 + 33 = 180 (because all angles of a triangle are equal to 180°)

x = 100°

Angle x = Angle y = 100° (because vertically opposite angles are equal)

Step 2: Find angle 2

Angle 2 = 180 - angle x (because angle on a straight line is 180°)

Angle 2 = 180 - 100

Angle 2 = 80°

Step 3: Find angle z

48 + y + z = 180° (because all angles of a triangle are equal to 180°)

z = 32°

Angle 3 = 180 - angle z (because angle on a straight line is 180°)

Angle 3 = 180 - 32

Angle 3 = 148°

Step 4: Find angle 1

Angle 1 = 180 - 33 (because angle on a straight line is 180°)

Angle 1 = 147°

Therefore m∠1 = 147°, m∠2 = 80°, m∠3 = 148°

Option 2 is correct

!!

3 0
3 years ago
Which statement is true?
Mumz [18]
The answer is D.

|-4| < 4
   4 < 4

|-1| < 0
   1 < 0

|-6| = -6
   6 = -6

|-14| > 10
   14 > 10
6 0
3 years ago
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