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Hoochie [10]
2 years ago
5

You have to order fencing for a 25-acre, rectangular field. One side of the field measures exactly 1/4 mile. How many yards of f

encing will you need to enclose the field completely?
Mathematics
1 answer:
Veronika [31]2 years ago
7 0
One side of the rectangular field measures 1/4 miles.
Let x = the length of the other side in miles.

Then the area of the field is 
A = 0.25x mi²

Note that
1 mi² = 640 acres, or 1/640 mi²/acre.

The area is given as 25 acres, which is equal to
(25 acres)*(1/640 mi²/acre) = 0.0391 mi²

Therefore
0.25x = 0.0391
x = 0.1563 mi

The length of fencing required is the perimeter of the rectangle.
It is
2*(0.1563 + 0.25) = 0.8126mi.

Because 1 mile = 1760yards, therefore the perimeter is
0.8126*1760 = 1430.2 yds

Answer: 1430.2 yards
For practical purposes, it should be 1431 yards.
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Andre hit 46 balls at practice. He hit no fewer than 20 less than double the number of hits Jason had. Which inequality represen
Nostrana [21]

Answer:

  2j -20 ≤ 46

Step-by-step explanation:

"20 less than double the number Jason [hit]" can be represented by 2j-20.

We are told that 46 is no fewer than this value, so it is greater than or equal to this value:

  46 ≥ 2j -20

  2j -20 ≤ 46 . . . . . swapping sides to match answer choices

7 0
2 years ago
Read 2 more answers
Find the missing value for the exponential function represented by the table below x -2 -1 0 1 2 y 29 20.3 14.21 6.9629
andre [41]

Answer:

y=4.8710 is the missing value

Step-by-step explanation:

The first step in approaching this question is determining the exponential equation that models the set of data. This can easily be done in Ms.Excel application. We first enter the data into any two adjacent columns of an excel workbook. The next step is to highlight the data, click on the insert tab and select the x,y scatter-plot feature. This creates a  scatter-plot for the data.

The next step is to click the Add chart element feature and insert an exponential trend line to the scatter plot ensuring the display equation on chart is checked.

The exponential regression equation for the data set is given as;

y=12.321e^{-0.464x}

To find the missing y value, we simply substitute x with 2 in the regression equation obtained;

y=12.321e^{-0.464(2)}\\\\y=4.8710

5 0
2 years ago
If ray JG is an angle bisector of ∠FJH, find m∠FJH.
miss Akunina [59]

Answer:

m∠FJH=60°

Step-by-step explanation:

The complete question is

JG bisects FJH, FJG= (2x + 4)° and GJH = (3x -9)°  

What is FJH

we know that

m∠FJH=m∠FJG+m∠GJH -----> equation A

If ray JG is an angle bisector of ∠FJH

then

m∠FJG=m∠GJH -----> equation B

substitute the given values in equation B and solve for x

(2x + 4)°=(3x -9)°

3x-2x=4+9

x=13

Find the measure of angle FJH

m∠FJH=(2x + 4)°+(3x -9)°

substitute the value of x

m∠FJH=(2(13) + 4)°+(3(13) -9)°

m∠FJH=(30)°+(30)°

m∠FJH=60°

3 0
2 years ago
Jessica wants to calculate her grade in her accounting class.she has four test grades (82, 65, 71, and 77) and a homework grade
Aleks04 [339]

To solve the problem, get the percentage of each test by multiplying the score and the percentage then add it all up:


82 * .25 (highest test grade) + 65* .15 (lowest test grade) + 71*.20 (each test remaining) + 77*.20 (each test remaining) + 92*.20 (homework grade)


= 20.5 + 9.75 + 14.2 + 15.4 + 18.4 = 78.25 or 78% in whole number

3 0
2 years ago
Find the 17th term of the of the arithmetic sequence-5,0,5,10
Lilit [14]
An=a1+d(n-1)
first term is -5 (only way for it to make sense)
common difference is proabtly 5

an=-5+5(n-1)
17th term
an=-5+5(17-1)
an=-5+5(16)
an=-5+80
an=75
17th term is 75
8 0
2 years ago
Read 2 more answers
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