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garik1379 [7]
2 years ago
14

Stanley is building a rectangular fence with 44 feet of fencing. If the width is two less than half the length, what is the widt

h of the fence? Write an equation and solve.
Mathematics
1 answer:
iren [92.7K]2 years ago
6 0

Answer:

The width of the fence measures 6 feet

Step-by-step explanation:

Firstly, we assign variables.

Let the width of the fence be represented by w and the length by l

Now let’s get what the length would be. width is 2 less than half length

w = l/2 - 2

or simply l/2 = w + 2

which is same as l = 2(w + 2)

Now the perimeter of the fencing is 44. The perimeter of a rectangle can be calculated using the formula

P = 2(l + w)

Now let’s insert what we have:

P = 44 and l = 2(w + 2)

44 = 2(2(w+2) + w)

44 = 2(2w + 4 + w)

44 = 2(3w + 4)

44 = 6w + 8

6w = 44-8

6w = 36

w = 36/6

w = 6 feet

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Kaylis [27]
Amount of fuel in the tank before the story begins . . . . . zero.

Total amount poured in . . . . . 3/4 gallon.

Total amount burned:
                   on Friday . . . . . 1/4 gallon
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Amount remaining in the tank on Monday:

               (3/4 gallon in) - (1/2 gallon burned)  =  1/4 gallon left.
                                                                        ==>  NOT empty

The tank would have been empty on Monday IF Becky
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8 0
2 years ago
What is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use 22 over 7 for pi. (4
saveliy_v [14]

Answer: 19,461\ ft^3

Step-by-step explanation:

The missing figure is attached.

The volume of grain that could completely fill this silo is the sum of the volume of the cylinder and the volume of the hemisphere.

By definition, the volume of a cylinder can be calculated with this formula:

V_c=\pi r^2h

Where "r" is the radius and "h" is the height.

In this case you know that:

r=6\ ft\\\\h=168\ ft

And the volume of a hemisphere can be found using the following formula:

V_h=\frac{2}{3} \pi r^3

Where "r" is the radius.

In this case:

r=6\ ft

Therefore, the volume of grain that could completely fill this silo, rounded to the nearest whole number, is:

V_{grain}=(\frac{22}{7})(6\ ft)^2 (168\ ft)+\frac{2}{3} (\frac{22}{7})(6\ ft)^3\\\\V_{grain}\approx19,461\ ft^3

3 0
2 years ago
A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the
Yuri [45]

Answer:

a. a parameter.

Step-by-step explanation:

A parameter is a property that describes the whole population, while a statistic is a property pertaining to a sample or sub-set of the population.

In this example, the average content of 4 ounces pertains to the 121 bottles sample and thus is a statistic. While the standard deviation of the population is mentioned to be 0.22 ounces, therefore 0.22 is a parameter.

8 0
2 years ago
Maya bought a dozen specialty donuts at the bakery for $18. She purchased a mixture of frosted donuts for $2 each, glazed donuts
Zina [86]

Answer:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Step-by-step explanation:

Let the quantity of frosted donuts = x

Let the quantity of glazed donuts = y

Let the quantity of custard filled donuts = z

As per question statements, following equations can be made:

x+y+z=12......(1)\\2x+y+5z=18.....(2)\\x=2z ...... (3)

Putting x=2x in (1) and (2):

y+3z=12 .... (4)\\y+9z=18 .... (5)

Subtracting (4) from (5):

6z=6\\\Rightarrow z =\bold{1}

By equation (3):

x=\bold{2}

By equation (1):

y=\bold{9}

Therefore, the answers are:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

3 0
2 years ago
Two planes, A and B, start from the same place and move in different directions, making an angle of 50º between them. The speed
cluponka [151]

Answer: The distance between them is 230.65 miles.

Step-by-step explanation:

Since we have given that

Speed of plane A (b) = 200 miles per hour

Speed of plane B (c) = 300 miles per hour

Angle between them = 50°

So,

We will use the "Cosine formula", we get

a^2=b^2+c^2-2bc\cos A\\\\a^2=200^2+300^2-2\times 200\times 300\cos 50\textdegree\\\\a^2=40000+90000-120000\cos 50\textdegree\\\\a^2=130000-120000\times 0.64\\\\a^2=130000-76800\\\\a^2=53200\\\\a=\sqrt{53200}\\\\a=230.65\ miles\ per\ hour

So, distance between the two planes after one hour will be

Distance=\frac{Speed}{time}=\frac{230.65}{1}=230.65\ miles

So, the distance between them is 230.65 miles.

6 0
2 years ago
Read 2 more answers
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