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3 years ago

The area of a rectangular fence is 500 square feet. If the width of the

Mathematics

1 answer:

lions [1.4K]3 years ago

7 0

Answer

Here the area and the width of the rectangular fence are given. We have to find length of the fence.

( diagram )

The area A of a rectangle is given by the formula A=lw where l is the length and w is the width.

Given that area is 500 square feet and width is 20 feet.

Substituting values in formula,

⇒500=l×20

⇒20/500

= 20/1×20

[ Dividing both sides by 20 ]

⇒l=25 feet

∴ length of rectangular fence is 25 feet.

Hence, the answer is 25.

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4 0

3 years ago

Sara spent half of her allowance going to the movies. She washed the family car and earned 9 dollars. What is her weekly allowan

Genrish500 [490]

$7, I think. I would not be too sure about it, though.

3 0

3 years ago

Read 2 more answers

Perpendicular to the line 2x-5y=-11; passes through (7,5)

Westkost [7]

Answer:

$y=-\frac{5}{2}x+\frac{45}{2}$

Step-by-step explanation:

The slope intercept form of a line is given as:

y = mx + c

Where m is the slope and c is the y-intercept

Let's rearrange the equation given in this form:

2x - 5y = -11

5y = 2x + 11

y = 2/5 x + 11/5

So the slope is 2/5

Slope of line that is perpendicular to this is the "negative reciprocal" of this slope. Which means the slope of perpendicular line would be -5/2

Thus, equation would become: y = -5/2x + c

Now we need to find c. For this we plug in 7 into x and 5 into y and solve for c [(7,5) is the point given]. Thus,

$y=-\frac{5}{2}x+c\\5=-\frac{5}{2}(7)+c\\5=-\frac{35}{2}+c\\c=5+\frac{35}{2}\\c=\frac{45}{2}$

Thus, the equation of perpendicular line is:

$y=-\frac{5}{2}x+\frac{45}{2}$

8 0

4 years ago

A mathematics instructor wants to see if a computer homework system improves the scores of the students in the class. The instru

Vilka [71]

Answer:

Step-by-step explanation:

Two samples are matched pairs if the samples are dependent sample. All the attributes or characteristics of these samples are the same except the one thing which we need to study or experiment.

The given samples are independent samples. So, these these two sample are not matched pair samples. Such samples cannot be used to perform the paired sample t test. For this test the samples must always be dependent.

Example of dependent or matched pairs samples under given scenario would be like:

The instructor teaches a section in one semester using the computer homework system and in the next semester he teaches the same section using the paper and pencil homework system.

Usually the pairs in matched pairs are the same people just at different time, as stated in the previous example.

4 0

4 years ago

The following information was collected from a simple random sample of a population. 16 19 18 17 20 18. The point estimate of th

Kruka [31]

Answer:( c ) 1.414

Step-by-step explanation:

Let m be mean

M=mean=sum/n

M= (16+19+18+17+20+18) / 6

M=108/6

M=18

Let start finding:

The standard deviation formula is= sqrt( Summation of |x-m|^2 / n-1)

|x-m|^2

For 1st: |16-18|^2=4

For 2nd: |19-18|^2=1

For 3rd: |18-18|^2=0

For 4th: |17-18|^2=1

For 5th: |20-18|^2=4

For 6th: |18-18|^2=0

Summation of |x-m|^2 =10

The standard deviation formula is :

S.D = sqrt( Summation of |x-m|^2 / n-1)

S.D= sqrt(10 / 5)

S.D=sqrt(2)

S.D= 1.414

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3 years ago