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andrew11 [14]
2 years ago
7

A rectangular park has an area of 6 square miles. The width of the property is 3/8 the length of the property. What is the width

of the property?
Mathematics
1 answer:
oksian1 [2.3K]2 years ago
8 0
W=3L/8, L=8W/3

A=LW and using L from above this becomes:

A=(8W^2)/3 and A=6 so

6=(8W^2)/3

18=8W^2

9/4=W^2

W=3/2=1.5 miles
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Answer:

The required equation is

d = 4c

where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.

Step-by-step explanation:

Given that, the cost of each box of cookies is $4.

It means,

The cost of 1 box of cookies is $4.

The cost of 2 boxes of cookies is $(4+4)  =$(2×4)

The cost of 3 boxes of cookies is $(4+4+4)  =$(3×4)

The cost of cookies

=(Number of boxes × 4)

The required equation is

d = 4c

where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.                                                    

   

8 0
2 years ago
6. Two observers, 7220 feet apart, observe a balloonist flying overhead between them. Their measures of the
MaRussiya [10]

Answer:

The ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

Step-by-step explanation:

Let's call:

h the height of the ballonist above the ground,

a the distance between the two observers,

a_1 the horizontal distance between the first observer and the ballonist

a_2 the horizontal distance between the second observer and the ballonist

\alpha _1 and \alpha _2 the angles of elevation meassured by each observer

S the area of the triangle formed with the observers and the ballonist

So, the area of a triangle is the length of its base times its height.

S=a*h (equation 1)

but we can divide the triangle in two right triangles using the height line. So the total area will be equal to the addition of each individual area.

S=S_1+S_2 (equation 2)

S_1=a_1*h

But we can write S_1 in terms of \alpha _1, like this:

\tan(\alpha _1)=\frac{h}{a_1} \\a_1=\frac{h}{\tan(\alpha _1)} \\S_1=\frac{h^{2} }{\tan(\alpha _1)}

And for S_2 will be the same:

S_2=\frac{h^{2} }{\tan(\alpha _2)}

Replacing in the equation 2:

S=\frac{h^{2} }{\tan(\alpha _1)}+\frac{h^{2} }{\tan(\alpha _2)}\\S=h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})

And replacing in the equation 1:

h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})=a*h\\h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}

So, we can replace all the known data in the last equation:

h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}\\h=\frac{7220 ft}{(\frac{1 }{\tan(35.6)}+\frac{1}{\tan(58.2)})}\\h=3579,91 ft

Then, the ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

6 0
2 years ago
Elizabeth lives in San Francisco and works in Mountain View. In the morning, she has 333 transportation options (take a bus, a c
matrenka [14]
All transportation (bus, cab, train) are all similarly likely to be selected, and 1 of them must be selected at morning and evening, so we get: P (bus) = P (cab) = P (train) = 1/3. We also have P(no cab in evening) = P(no cab at morning) = 2/3 
Now, P(using cab exactly once) = P(cab at morning and no cab in the evening) + P(no cab at morning and cab in the evening)
= P(cab, no cab) + P(no cab, cab) 
= 1/3 * 2/3 + 2/3 * 1/3 
= 2/9 + 2/9 
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Probability that Elizabeth uses a cab only once is 4/9.
7 0
2 years ago
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After doing some work in the house, Bob and Carol want to put a concrete patio on the side of the house to keep people from trac
Irina-Kira [14]

Answer:

Volume= 2.92cubic yard

Step-by-step explanation:

Converting to ft

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4 inches= (4/12)=0.333ft

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Converting to cubic yard

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oee [108]

Answer:

-1.1 cups

Step-by-step explanation:

To find out how much was spent on the main bottle of detergent, we must add the expenses that were incurred in the wash.

The statement tells us that first there is an expense of 0.4 cups of laundry detergent while washing one load of laundry and 0.7 coupon another load, therefore this means that the change in the bottle would be:

(-0.4) + (-0.7) = -0.4 - 0.7 = -1.1 cups.

In other words, the main bottle would have 1.1 cups less, that is, -1.1 cups.

4 0
2 years ago
Read 2 more answers
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