Alex wants to put a fence around his garden. It is square and has an area of 196 square feet. He wants to put a post in each corner, and every 7 feet. How may posts and how may feet of fencing does he need?

Answers

Answer 1

√196= 14
So each side is 14 feet
There are 4 posts in the corners and if each side is 14 feet and you put a post every 7 feet there would be an additional post on each side. That means he needs 8 posts.
The perimeter is 14×4=56
This means he needs 56 feet of fencing.

Related Questions

What is the coefficient in the expression 3x/13+4?

Answers

The coefficient is the multiplication constant with a variable thus in the expression 3x/13 + 4 the number 3/13 will be the coefficient.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

It is known that the coefficient is the constant which is in multiplication with a variable.

In general, variables are represented by x,y, and z.

The given expression is 3x/13 + 4.

Here,x is a variable therefore the term 3/13 will be a coefficient.

Hence "The coefficient is the multiplication constant with a variable thus in the expression 3x/13 + 4 the number 3/13 will be the coefficient".

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explain how ray ab an ac form both a line and an angle

Answers

Rays AB and AC both have a point in common. That is the A point or normally called the vertex. From the point both go in different directions making a distance between both. This distance has a degree in which it separated that forms the angle. This also forms a line because both rays, in theory, are lines. They just tend to continue to infinity in just one direction.

Answer:

Step-by-step explanation:

how many hours of training would you need to have a monthly pay of $2620

Answers

2620 /4 = 655 per week

suppose you work 40 hours per week

655/40 = $16.38 per hour

that is a good pay, but training all depends on the actual job.

some jobs don't require any training, some require 3 months or more.

it also depends on your education

Angles a and b are complementary angles. if the measure of angle a is 30 more than the angle of measure b find the measures of the two ang;es

Answers

complimentary angles, when added, will equal 90 degrees

a + b = 90
a = b + 30
now we sub
b + 30 + b = 90
2b + 30 = 90
2b = 90 - 30
2b = 60
b = 60/2
b = 30 <=== angle b is 30

a = b + 30
a = 30 + 30
a = 60 <=== angle a is 60

The perimeter of a rectangular garden is 290 feet. If the length of the garden is 84 feet, what is its width?

Answers

Since the formula for the perimeter is 2l+2w=290 (given that the length=l and the width is w), we plug 84 in for l to get (2)(84)+2w=290. Next, we multiply it out to get 168+2w=290 and we subtract 168 from both sides to get 122=2w. Dividing 2 from both sides, we get 61=w.

the width would be 61 ft

(-4,7),(6,-1) what is the answer

Answers

(y+1)=-8/10 (x-6)
5y+5=-4x+24
5y=-4x+19

if you are finding a slope you must use the formula y2-y1 / x2-x1

-1-7 -8 -4
------- = ------ = -----
6--4 10 5

now to find the y intercept you need to plug either (-4,7) or (6,-1) into y=mx+b

7 = -4/5(-4) + b
7 = 3.2 + b
3.8 = b

the equation is y = -4/5x + 3.8

Type the number 3.14×103 in standard notation.

Answers

The answer is 3.14 x 10^3

Jessica earns 3% commission selling computers she sold 37500 worth of computers last month how much commission did Jessica earn last month

Answers

Here,

3/100*37500
=1125

She earned total commission of 1125 last month

I would help founding P-15=13-6p

Answers

p - 15 = 13 - 6p
-15 = 13 -7p
-28 = -7p
4 = p

Hope this helps!

The awnswer is 4 = p

Need some help! Graph the equations y=3x-5 and x+3y=6 on the same xy-plane. What is significant about these two lines? (Explain your answer)
Thanks!

Answers

To solve this, we must first put both lines in Slope Intercept Form (y=mx+b where m is the slope and b is the y-intercept).

y=3x-5 is already in SIF, so we only need to work on the other one.

x+3y=6
-x -x
3y=-x+6
/3 /3
y=-1/3x+2

Now we have both equations in slope intercept form, so we can start graphing from the y-intercepts and just follow the slopes.

When we do this, we will see that the lines meet at an exactly 90° angle. When a pair of lines does this, it means they are perpendicular.

Below I have attached an image that has both lines graphed so that you may visualize it. The green dots show the slopes, while the highlighted areas show the y-intercepts. Note that the lines intersect at a 90° angle, making them perpendicular.

True or False
The sum of two trinomials is ALWAYS a trinomial

Answers

true because it is two triomials and it stay trinomials

Answer:

True.

Step-by-step explanation:

If the two trinomials are given as

x³ + 2x² + 4 = 0

and

2x³ + x² - 3 = 0

Then by adding these trinomials we get

(x³ + 2x² + 4) + (2x³ + x² - 3) = 0

3x³ + 3x² + 1 = 0

Which proves that sum of two trinomials is ALWAYS a trinomial.

So the answer is True.

1. After a 12% increase the cost of a new cooker is £190.40

Work out the original price of the cooker.
[3 marks]

Answer £

2. A running club has 270 members.
There are 25% more men than women in the running club.

2. (a) How many men are in the running club?
[2 marks]

Answer

2. (b) 40% of the men and 30% of the women also belong to a cycling club.

Work out the percentage of the whole membership that belong to a cycling club.
[2 marks]

Answer %

Answers

1
X+.12*x=190.40
X(1+.12)=190.40
X=190.40/1.12=170

2a
X+x+25=100
2x=75
X=37.5%

Men=.375*270=101

2b

The required cost of the cooker after a 12% increase in the cost is given as £213.248.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,

1.
Let the cost of the cooker be x,
According to the question,
x = 1.12 × 190.40
x = £213.248

Thus, the required cost of the cooker after a 12% increase in the cost is given as £213.248.

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What is 4 7/8 as a improper fraction

Answers

The answer is 39/8. You had to multiply 4 by the denominator, you'd get 32; and add the numerator. which would get you 39. Simply place the 39 over 8, the denominator, and Voila! you get 39/8

[tex]a \frac{b}{c} = \frac{ac+b}{c} [/tex]

[tex] \frac{4 x 8 + 7}{8} = \frac{39}{8} [/tex] <--- Answer

Andrea wants to deposit money into a bank account that earns 4.5% simple interest. Use the formula l=Prt to find the ammount of money that she should deposit so that she earns $2800 after 4.5 years. Show and explain your work.

Answers

The formula is
I=prt
I interest earned 2800
P amount deposited. ?
R interest rate 0.045
T time 4.5 years
Solve the formula for p by dividing both sides by rt to get
P=I/rt
P=2,800÷(0.045×4.5)
P=13,827.16 round your answer to get 13827

Hope it helps!

Next school year, 2 out of every 7 students plan te take an elective computer course. if there are 2464 students at the high school, how many computer students should the school plan for?

Answers

2 out of every 7 students plan to take the course....that means 5 out of every students do not plan to take it. So 2/7 of the total students plan to take it and 5/7 of the total students do not plan to take it.

so 2/7 of 2464 plan to take the course.....2/7(2464) = 4928/7 = 704 students ...the school need to plan for 704 students <==

Joan works on commission

Answers

for a future store..

What is the largest decimal value that can be represented by a 16 bit number?

Answers

i dont know bro sorry

how many solutions does 4(z-5)+2=4z-18 have

Answers

The answer would be infinitley many solutions.
4(z-5)+2=4z-18
4z-20+2=4z-18
4z-18=4z-18
z=z

Answer:

infinitely many solutions

Red, green, and blue light rays each enter a drop of water from the same direction. Which light ray's path through the drop will bend the most, and which will bend the least? Why?

Answers

Blue will bend most because it's the farthest on the rainbow. And red will bend least due to it being at the beginning of the rainbow.

What is the scientific notation for 12,400,000?

Answers

1.24 x 10
hope i can help even though its late

What is the area of the triangle in the diagram?

Answers

check the picture below.

Answer:

Option A is the answer.

Step-by-step explanation:

The area of the triangle is given as :

[tex]A=\frac{1}{2}\times base\times height[/tex]

Base will be given by :

[tex]\sqrt{(x1-0)^{2}+(y1-0)^{2}}[/tex]

= [tex]\sqrt{x1^{2}+y1^{2}}[/tex]

Similarly the height will be given by:

[tex]\sqrt{(x2-0)^{2}+(y2-0)^{2}}[/tex]

= [tex]\sqrt{x2^{2}+y2^{2}}[/tex]

Now, putting these dimensions in the formula we get:

[tex]\frac{1}{2}\times \sqrt{(x1^{2}+y1^{2})(x2^{2}+y2^{2})}[/tex]

Therefore, option A is the answer.

Can someone help me work out this problem please?

Answers

(d/2) + (f/4) = 6
4*[ (d/2) + (f/4) ] = 4*6 ... see note below
4*(d/2) + 4*(f/4) = 4*6
2d + f = 24
2d + f - 2d = 24 - 2d
f = 24 - 2d

The final answer is f = 24 - 2d

Note: I multiplied both sides by 4 because this is the LCD (lowest common denominator). Multiplying both sides by the LCD will clear out the fractions.

Rick is setting up a model train track that is 5 and 3 over 5feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone pole every 4 over 5foot apart. How many telephone poles does he need? (Input number values only)

Answers

That would be 5 3/5 divided by 4/5

= 28/5 / 4/5

= 28/5 * 5/4

= 7 telephone poles

Answer:

1/2

Step-by-step explanation: man i needa level up... its not right i just need points lol

Standard printer paper has a thickness of 0.1mm. write an equation for a function that should approximately the thickness of a sheet of paper after nn folds. f(n)=f(n)=

Answers

Folding a paper will make it thickness become double from it before.
Unfolded paper has 1 thickness
1 times folded paper has 2 thickness
2 times folded paper has 4 thickness
3 times folded paper has 8 thickness

From here it is clear that the pattern is [tex] 2^{n} [/tex]. SInce the paper is 0.1mm, then the function would be:
f(n)= [tex] 2^{n} [/tex] x 0.1mm

What conjecture can you make about the twentieth term in the pattern A, B, A, C, A, B, A, C?

Answers

Answer:

Step-by-step explanation:

ABACABACABACABACABAC

Final answer:

The pattern A, B, A, C repeats every four terms. Dividing the term number (20) by the length of the repeating sequence (4) yields 5 with no remainder, indicating the twentieth term will be the same as the fourth term - which is 'C'.

Explanation:

The given pattern A, B, A, C, A, B, A, C is a repeating sequence that occurs in sets of four (A, B, A, C). To ascertain the twentieth term in this pattern, divide the term number by the length of the repeating sequence. That would be 20 divided by 4, which equals 5 with no remainder. That suggests the twentieth term will be the same as the fourth term in the sequence, which is C.

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Distributive property 3(-7-8n)

Answers

3 (-7-8n)
3 x -7= -21
3 x -8n= -24n
-21-24n= 45n

Answer:

- 21 - 24 n.

Step-by-step explanation:

Given : 3(-7-8n)

To find : Solve by Distributive property .

Solution : We have given 3(-7-8n).

Distribute 3 over -7 and - 8n .

3 * - 7+ 3 * -8n .

- 21 + ( -24 n).

- 21 - 24 n.

Therefore, - 21 - 24 n.

Suppose point e has a coordinate of 11, and eg= 8. what are the possible coordinates of point g?

Answers

So I will be assuming that EG = 8 is the length of the line segment EG. If that's the case, therefore the coordinates of G would simple be:

G =11 ± 8

G = 11 – 8, 11 + 8

G = 3, 19

So G can have a coordinate of 3 or 19.

A problem states: " there are 3 more baseballs than bats in a dugout. There are 15 bats and baseballs in the dugout in all. How many bats are in the dugout?" Let b represent the number of bats. Which expression represents the situation?

Answers

9 baseballs and 6 bats

Answer:

The required equation is 2b+3=15.

Number of bats = 6

Number of baseballs = 9

Step-by-step explanation:

Let b be the number of bats.

It is given that there are 3 more baseballs than bats in a dugout.

Number of baseballs = b + 3

Number of bats and baseballs in the dugout in all is

[tex]Total=b+(b+3)[/tex]

[tex]Total=(b+b)+3[/tex]

[tex]Total=2b+3[/tex]

There are 15 bats and baseballs in the dugout in all.

[tex]2b+3=15[/tex]

The required equation is 2b+3=15.

Subtract 3 from both sides.

[tex]2b=15-3[/tex]

[tex]2b=12[/tex]

Divide both sides by 2.

[tex]b=6[/tex]

The value of b is 6. So, the number of bats is 6 and number of baseballs is 6+3=9.

If angleA and angleB are vertical angles, and angleA = 38°, find the measure of angleB. A. B = 7° B. B = 57° C. B = 38° D. B = 142°

Answers

Angle B = 38° (option C)
This is because vertical angles are congruent

Hope this helps!! :)

Answer:

C. B = 38°

Step-by-step explanation:

A vertical angle is created when two lines intersect, and are a pair of two non adjacent angles that are opposite from the origin, so both angles are going to measure the same.

Since both vertical angles are the same, both measure 38º.

Vertical angles are shown in the image:In this case the angle A would be the omega, and the B is the alfa.

If NO = 17 and NP = 5x -6, find the value of X. Then find NP and NO.

Answers

Since NO=NP (as seen by the 2 lines next to each other), we get
17=5x-6. Adding 6 to both sides, we get 23=5x and by dividing 5 on both sides we get x=23/5

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