An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 340 feet of antique picket fencing are to be used to enclose
the garden, find the dimensions of the garden

Answers

Answer 1

Answer:

The dimensions of the garden is 102 feet by 68 feet

Step-by-step explanation:

Here, we want to get the width and length of the garden

The perimeter is represented by the length of the fencing

From the question;

w = 2l/3

The formula for the perimeter is;

P = 2(l + w)

Thus;

340 = 2(l + 2l/3)

170 = (l + 2l/3)

Multiply through by 3

510 = 3l + 2l

5l = 510

l = 102 feet

w = 2/3 * l

w = 2/3 * 102

w = 68 feet


Related Questions

Which of the following best shows the commutative property of addition?

4 + 5 = 5 + 4

4 + 5 = 9

4 + 5 = 4 - (-5)

4 + 5 = 4 + (2 + 3)

Answers

Answer:

it is A

Step-by-step explanation:

No matter how much you flip the equation around, the end result will be the same. I chose A because it shows exactly what I described 4+5 is the same as 5+4

1 y=8x + 5
Linear or non-linear

2 y= -x + 5

3 y=0.75x - 2

4 y = -2x exponent 2 + 1

Thanks for the help with this stander mastery

Answers

all are linear except the 4th one

Solve for x: 2x - 6 = 10​

Answers

2x=16
X=8
Make sure to do step by step and double check by plugging the answer in.

these two triangles are similar solve for X​

Answers

Answer:

22.5

Step-by-step explanation:

1st find the scale factor which was 1.5 by doing 13.5/9

2nd do 15 * 1.5 to get x

HELP SAVE ME I NEED U GIRL

Answers

Answer:

pretty sure it would be 42 degrees. angle 3 and 7 would have the same value as well

Step-by-step explanation:

Answer:

42 degrees

Step-by-step explanation:

<4 is congruent to where it already says 42 degrees

Which of these sentences is always true with a parallelogram?

A.) all sides are congruent

B.) all angles are congruent

C.) the diagonals are congruent

D.) opposite angles are congruent ​

Answers

The answer would be D.

Answer:

it is D i just bib the test and got it right

Step-by-step explanation:

Let x and y be inversely related such that y = 2 when x = 5. Find y when x = 15

Answers

Answer:

y would be 6

Step-by-step explanation:

Because 5 x 3 would be 15

then you would do 2 x 3 would be 6

Answer:

y=2/3

Step-by-step explanation:

first make the equation to interpret the question

x=k/y

find the value of k, which is a constant

when x=5 and y=2

5=k/2

k=10.

hence, find y when x=15

x=k/y

x=10/y

15=10/y

cross multiply

15y=10

divide both sides by 15

y=10/15

y=2/3

What’s 100+100 I’ll make brainliest

Answers

Answer:its 200

Step-by-step explanation:

Answer:

Its 200, that's a funny question though!

Step-by-step explanation:

Have a good day!

w2 -4W-8y+2-y
given w=-3 and y=-5

Answers

Answer:43

Step-by-step explanation:

-6+12 equals 6 and 40-3 equals 37

37 plus 6 equals 43

Answer:

43

Step-by-step explanation:

On a number line, what is the distance between −9 and -5?

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

There are 4 whole numeric units between -5 and -9.

If f(x)=14x−6, find f(−12).

Answers

Answer:

f(-12) = -174

Step-by-step explanation:

f(x) = 14x − 6

f(-12) = 14(-12) - 6

f(-12) = -168 - 6

f(-12) = -174

hope this helps, pls mark brainliest :D

3(a+5) -2(a+a) explain step by step​

Answers

Answer:

-a + 15

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

3(a + 5) - 2(a + a)

Step 2: Simplify

Combine like terms:                    3(a + 5) - 2(2a)Distribute 3:                                  3a + 15 - 2(2a)Multiply:                                        3a + 15 - 4aCombine like terms:                    -a + 15

which angles are alternate exterior angles?

Answers

Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Illustration: In the diagram above, ∠ a and ∠ d makes a pair of alternate exterior angles and ∠ b and ∠c makes another pair of alternate exterior angles.

whats 1,000 x 12,334 its a dumm question

Answers

the answer is

1,23,34,000

Answer:

12,334,000

Step-by-step explanation:

Find the solution set of the inequality 4x -1 < 11.4x−1<11

Answers

Answer:

x<3

Step-by-step explanation:

4x -1 < 11

Add 1 to each side

4x -1+1 < 11+1

4x<12

Divide each side by 4

4x/4 <12/4

x<3

What's dis?? I will give brainliest...... TY

Answers

Answer:

A: 24

Step-by-step explanation:

The length of Brown's pin is 6, while the width is 2. If Johnson has two more meter in length, that's 8, and 1 more than the the width, that's 3. 8 x 3 is 24.  

If we just passed a sign which says that Harrison is 25 miles away and Turkey is 40 miles ahead, how far will we have to go to be halfway between Turkey and Harrison?

Answers

Answer:

7.5 miles

Step-by-step explanation:

The distance between Turkey and Harrison is:

25 + 40 = 65 miles

Halfway is:

65/2 = 32.5 miles

Distance to halfway from current point with sign:

40 - 32.5 = 7.5 miles

can any one help with this mathematical problem. fill in the table using this function rule. y=6x-1. 1 ( ) 4( ) 5( ) 9( ). please help​

Answers

Answer:

1 (5), 4(23), 5(29), 9(53).

Step-by-step explanation:

Well, I just plugged in the terms that looked like the inputs instead of x.

lowest common multiple of 22 and 14​

Answers

Answer:

LCM= 154

Step-by-step explanation:

The dimensions of a standard tennis court are 36 ft. 78 ft. with a net that is 3 ft. high in the center. The

court is modified for players aged 10 and under such that the dimensions are 27 ft. x 60 ft., and the same

net is used. Use similarity to determine if the modified court is similar to the standard court.

Try to dilate the modified court to make it the same size as the standard court. The dilation factor for the

width is

. The dilation factor for the length is

. Based on similarity, the modified

court is similar to the standard court.

Answers

Answer:

The dilation factor of the width is 3/4

The dilation factor of the length is 10/13

The standard court and the modified court are not similar

Step-by-step explanation:

The given dimension of a tennis courts are given as follows;

The width of the standard tennis court = 36 ft.

The length of the standard tennis court = 78 ft.

The height of the  net of the standard tennis court = 3 ft.

The width of the modified tennis court = 27 ft.

The length of the modified tennis court = 60 ft.

The height of the  net of the standard tennis court = 3 ft.

The dilation factor of the width = (Modified court width)/(Standard court width)

∴ The dilation factor of the width = (27 ft.)/(36 ft.) = 3/4

Therefore, the width of the modified court = 3/4 × The width of the standard court

∴ The dilation factor of the length = (60 ft.)/(78 ft.) = 10/13

Therefore, the length of the modified court = 10/13 × The length of the standard court

The dilation factor for the width is different from the dilation factor for the length and the net of both courts are of equal dimension, therefore, based on similarity theorem, both courts are not similar.

Find the sum of exterior angles of a 21-gon
Explain how

Answers

Answer:

3 sides     180 degrees total

4 sides      180(4-2)

5 sides       180(5-2)

Step-by-step explanation:

n sides angle sum is 180(n-2)

21 sides angle sum is 180(21-2) = 180*19 = 3420

each angle in a regular 21-gon will be           3420/21 = 162.8571429 degrees  (apprrox)

external angle = 360 - 162.8571429 =  197.1428571degrees = 197 degrees 8 minutes and 34.29 seconds approximately

please help me with this its math!!

Answers

The answer would be: y = 2x - 4

If this doesn’t look right, then I need you to tell me what kind of method you use to solve this then I will help more.

Find the value of each variable

Answers

[tex]x = 15 \sqrt{2} [/tex]

[tex]y = 15 \sqrt{2} [/tex]

Answer:

x = y = 15[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{30}[/tex] ( multiply both sides by 30 )

30 × sin45° = x , then

x = 30 × [tex]\frac{\sqrt{2} }{2}[/tex] = 15[tex]\sqrt{2}[/tex]

The triangle is a right isosceles triangle thus the legs are congruent, then

x = y = 15[tex]\sqrt{2}[/tex]

help help help helphelp​

Answers

3(x-1) is your answer

Put each line into slope-intercept form.
1. 2y = 2x - 2
2. x+y=9.

Answers

1: y=x-1

2: y=-x+9

I need to write at least 20 characters so here’s a sentence you just read

What is the sum of the 12th square number and the 6th square number?​

Answers

Answer:

180

Step-by-step explanation:

The 12 th square number is

12² = 12 × 12 = 144

The 6 th square number is

6² = 6 × 6 = 36

Thus

sum = 144 + 36 = 180

Find the relation and solve the answers. Options are given below. ​

Answers

Answer:

The correct option is;

A. 453

Step-by-step explanation:

The given numbers are not related by factors, because the factors of 779 are 1, 19, 41, and 779

Similarly the factors of 926 are 1, 2, 463, 926

Therefore, the numbers are related by direct association of each digit of the central number to each of the three numbers on the vertices of the triangle as follows;

For the first triangle, we have the numbers at the vertices are; at the top, 14, at the bottom left is 21, and at the bottom right is 36, we have;

Top number divided by 2 gives 14/2          [tex]{}[/tex]      = 7

Bottom left number divided by 3 gives 21/3   [tex]{}[/tex] = 7

Bottom right number divided by 4 gives 36/4 = 9

From which we have the number at the center which is 779

Similarly, for the second triangle, we have the numbers at the vertices are; at the top, 18, at the bottom left is 6, and at the bottom right is 24, we have;

Top number divided by 2 gives 18/2          [tex]{}[/tex]      = 9

Bottom left number divided by 3 gives 6/3   [tex]{}[/tex]  = 2

Bottom right number divided by 4 gives 24/4 = 6

From which we have the number at the center which is 962

Therefore, when we have, the numbers at the vertices as follows;

At the top, 8, at the bottom left is 15, and at the bottom right is 12, we have;

Top number divided by 2 gives 8/2          [tex]{}[/tex]      = 4

Bottom left number divided by 3 gives 15/3   [tex]{}[/tex] = 5

Bottom right number divided by 4 gives 12/4 = 3

From which we have the number at the center is 453.

PLEASE HURRY!!!!!!!!
Jazmine can run 4 5/6 miles in 2/3 of an hour. How many miles can she run in 1 hour?

Answers

Answer:

d = 29/4 miles

That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles

Step-by-step explanation:

Answer:

7 1/4

Step-by-step explanation:

4 5/6 miles / 2/3 hour =

= 29/6 * 3/2 miles/hour

= (29 * 3)/(6 * 2) miles/hour

= 29/(2 * 2) miles/hour

= 29/4 mph = 7 1/4 mph

Use additive inverses and their properties to find the equivalent expressions

Answers

Answer:

1. [tex]-6 + (-3)[/tex]

2. [tex]6 + 3[/tex]

3. [tex]-6 + 3[/tex]

4. [tex]6 + (-3)[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the additive inverse of each

The rule of additive inverse is as follows;

For any positive number (n), the additive inverse is (-n)And for any negative number (-n), the additive inverse is (n)

Using the above, the solution is as follows:

[tex]1.\ 6 - (-3)[/tex]

Rule: 6 becomes -6 and - (-3) becomes +(-3)

So, the additive inverse is [tex]-6 + (-3)[/tex]

[tex]2.\ -6 -3[/tex]

Rule: -6 becomes 6 and -3 becomes 3

So, the additive inverse is [tex]6 + 3[/tex]

[tex]3.\ 6 - 3[/tex]

Rule: 6 becomes -6 and -3 becomes 3

So, the additive inverse is [tex]-6 + 3[/tex]

[tex]4.\ -6 - (-3)[/tex]

Rule: -6 becomes 6 and -(-3) becomes +(-3)

So, the additive inverse is [tex]6 + (-3)[/tex]

Help ME PLSSS I WILL GIVE WHOEVER ANSWERS FIRST A BRAINLIEST!!

Mr. Mayhood had 4½ pounds of sand in a bucket. He put 2¾ pounds
of sand around his flower bed. How much sand did he have left in the
bucket?

Answers

Answer:

1 3/4 pounds.

Step-by-step explanation:

4 1/2 = 4 2/4

4 2/4 - 2 3/4 = 1 3/4

Answer:

1 [tex]\frac{3}{4}[/tex] pounds of sand is left in the bucket

Step-by-step explanation:

4.5 - 2.75 = 1.75 or 1 3/4

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