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user100 [1]
3 years ago
7

a foreman must order enough sod to cover a dirt area 36 feet wide by 28 feet long. each piece of sod is 3 feet long and 12 inche

s wide. how many pieces of sod should be ordered to cover that area?​
Mathematics
1 answer:
Andrews [41]3 years ago
3 0

If we divide the area we have to cover by the area of a piece, we will get the number of pieces needed:

n=\dfrac{\text{dirt area}}{\text{piece area}}=\dfrac{36\times 28}{3\times 12} = \dfrac{36\times 28}{36}=28

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triangle fdp is reduced with a scale factor of 1/2 and a center of (0,0). Find the coordinates of the new vertices.
Mkey [24]
The new points are:
P' (-3, 0)
F' (1, 2)
D' (0, -2.5)

The shape is being transformed with a dilation of a scale factor of 1/2. This means that we take the given points and multiply them by 1/2 to find the new points. 

Look on the graph for the current points and multiply each one by 1/2. You will have the new points.
4 0
3 years ago
HELP PLEASE
Radda [10]
Remark
The general equation for an ellipse is
\frac{x^2}{a^2}+ \frac{y^2}{b^2}=1 

At the center, the the point is 0,27

Solving for the 
\frac{0}{a^2} +  \frac{27^2}{b^2} = 1
or b^2= 27^2 * 1
Taking the square root of both sides 
b = 27

Now we need to use one more piece of information
The second point is (24,9) what that means is at the point x = 24, y = 9

Solving for that 
\frac{24^2}{a^2}+\frac{9^2}{27^2}=1

576/a^2 + 81/729 = 1    Subtract 81/729 from both sides
576/a^2 = 1 - 81/729 = 576/a^2 = (729 - 81)/729 = 648 /729

576/a^2 = 648/729     Cross multiply

648 a^2 = 729 * 576   Divide by 648
a^2 = 648            

Full equation for the ellipse and answer is

\frac{x^2}{648}+ \frac{y^2}{729} = 1


 

7 0
3 years ago
Read 2 more answers
elise bought a video game for $65.00. if the store charged 150% of what it paid for the game, how much is the store’s profit?
OLEGan [10]

Answer:

$21.67 profit

Step-by-step explanation:

65/1.5 = 43.33 bought for

65.00-43.33 = 21.67 profit

7 0
3 years ago
Read 2 more answers
Ted likes to run long distances. He can run 20 km 95 minutes. He wants to know how many kilometers (k) he will go if he runs at
maxonik [38]

He will run 60km in 285 minutes.



8 0
3 years ago
Read 2 more answers
An Internet and cable-television supplier surveyed a random sample of their customers. The results are shown in the table. A 4-c
Kaylis [27]

Answer:

d. About one-fourth of the cable-television customers are not satisfied.

Step-by-step explanation:

There are 3,141 customers in total, of which 2,032 are internet customers and 1,109 are cable customers.

There are 2,644 satisfied customers, of which 1,820 are internet customers and 824 are cable customers.

There are 497 not satisfied customers, of which 212 are internet customers and 285 are cable customers.

Which statement about the two-way frequency table is true?

a. The survey represents quantitative data.

It is the satisfaction of the customers with the service provided, so it is qualitative data.

b. There is a greater percentage of Internet customers who are not satisfied than cable television customers who are not satisfied.

There are 2,032 internet customers, of which 212 are not satisfied. So 212/2,032 = 10.42% of internet customers are not satisfied.

There are 1,109 cable customers, of which 285 are not satisfied. So 285/1,109 = 25.70% of cable customers are not satisfied.

This statement is not true.

c. About half of the video customers surveyed are cable-television customers.

Of the 3,141 customers surveyed, 1,109 are cable customers. This is 1109/3141 = 35.31%.

This statement is not true.

d. About one-fourth of the cable-television customers are not satisfied.

There are 1,109 cable customers, of which 285 are not satisfied. So 285/1,109 = 25.70% of cable customers are not satisfied.

This is the true statement.

3 0
3 years ago
Read 2 more answers
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