A garden that is 14 feet by 17 feet will have a pedestrian pathway on the border, making the combined area of the garden and the border 311 square feet what is the width of the pathway

Answers

Answer 1

Answer:

The width of the pathway is 5.2 feet

Step-by-step explanation:

Given that the shape of the garden and the walkway is a rectangle, the walkway would have the same length as the garden but would have it's own width.

Let the width of the garden be W and that of the walkway be t while the length of both the garden and walkway is L. The combined area A

= L( W + t)

Given that the combined area of the garden and the border 311 square feet while the garden is  14 feet by 17 feet

311 = 14 (17 + t)

311 = 238 + 14t

collect like terms

14t = 311 - 238

14t = 73

t = 73/14

= 5.2 feet


Related Questions

As an estimation we are told £3 is €4.
Convert £33 to euros.

Answers

Answer:

44 euros

Step-by-step explanation:

if the ratio between an english pound and a euro is 3 to 4 respectivley, the ratios will hold true for any number. Since 33/3 = 11, we can stratigically multiply by 1,

3/4 = (3/4)(11/11)

so the ratios would be the same, multiplying, you would get 33/44, which means 33 pounds for 44 euros

If you fail two semesters will you be held back?

Answers

Yes if you are in high school not middle school

umm...... No because 1 haven't give any semester

what is 8690 rounded off to the neareset hundred?
am just asking​

Answers

Answer:

8700

Step-by-step explanation:

If it is 8,690 and you round to the nearest hundred it would add one to 90 making it 8,700

Answer:

Did not necessarily round up or down, but to the hundred that is nearest to 8690.

8690 rounded to the nearest hundred is: 8700

What is the value of x, given that AE || BD?​

Answers

Answer:

options number 1 is the answer

✨HELP ASAP *Please*✨Theese figures are congruent. What series of transformations moves pentagon ABCDE onto pentagon A'B'C'D'E? Note: Rotations are clockwise Reflections are over the x-ory-axis.
A Rotation, translation
B. Reflection, translation
C. Reflection, rotation
D. Transation ansition​

Answers

Answer: C

Brainliest Me

I think that the correct answer is C.

what is the slope of a line containing points (2,-1) (3,5)

Answers

Answer:

slope(m)=6

Step-by-step explanation:

(2 , -1)=(x1 , y1)

(3 , 5)=(x2 , y2)

use formula : y2 - y1/x2 - x1

=5-(-1)/3-2

=5+1/1

=6/1

=6

therefore slope of a line is 6.

A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft. Calculate the surface area of the silo. Leave your answer in terms of π.

480π sq. ft.
276π sq. ft.
216π sq. ft.
204π sq. ft.

Answers

Answer:

216π sq ft

Step-by-step explanation:

given that :

d = 12 ft => r = 12/2 = 6ft

h(cyl) = 10 ft

h(cone) = 8 ft

the surface area = ?

the solution :

the slant of cone = √r²+h²

= √6²+8²= √100 = 10 ft

the surface area of silo =

the lateral area of cone + the lateral area of cylinder + the base area

= π×r×slant + 2×π×r×h(cyl) + π×r²

= π×6×10 + 2×π×6×10 + π×6²

= 60π + 120π + 36π

= 216π sq ft

The surface area of the silo will be 216π square feet. Then the correct option is C.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A silo consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal.

The surface area is the sum of the surface area of the cone and cylinder. Then we have

The diameter of the cylindrical base of the silo is 12 ft and the height of the cylinder is 10 ft, while the height of the cone is 8 ft.

Surface area = πrl + 2πrh + πr²

The length of the radius will be

r = d /2

r = 12 / 2

r = 6 ft

The length of slant height will be

l² = 6² + 8²

l² = 100

l = 10 ft

Then the surface area of the silo will be

SA = π × 6 × 10 + 2π × 6 × 10 + π6²

SA = 60π + 120π + 36π

SA = 216π square feet

The surface area of the silo will be 216π square feet.

Then the correct option is C.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Simplify (2x^2 + 4x) - (7x - 3x^2 + 5)

Answers

Answer:

5x^2 - 3x -5

Step-by-step explanation:

You simplify the like terms

Remember to use distributive property to do the (7x-3x^2+5) part

Simplify 2x2x4. 7(234)0385

I really need help with this problem

Answers

Answer:

Measure of angle K is 52.5 degrees

Step-by-step explanation:

Here, we have a case of two sides being congruent

mathematically when two sides are congruent, then we have an isosceles triangle

For an isosceles triangle, the base angles are equal

LM faces K , while M faces KL

What this mean is that L faces KM

From above, we can see that K = M = ?

Let us call this x

Mathematically, the sum of angles in a triangle is 180 degrees

75 + x + x = 180

2x = 180-75

2x = 105

x = 105/2

x = 52.5

The length of a field in feet is a function f(n) of the length nin yards. Write a function rule for this situation.

Answers

Given:

The length of field is n yards.

The length of a field in feet is a function f(n).

To find:

The function rule for this situation.

Solution:

We know that,

1 yard = 3 feet

Using this conversion, we get

n yard = 3n feet

The length of field is n yards. So, the length of the field is 3n feets.

The length of a field in feet is a function f(n). So,

[tex]f(n)=3n[/tex]

Therefore, the required function rule for this situation is [tex]f(n)=3n[/tex].

round the whole number 21,908 to the nearest thousands place

Answers

i believe it would be 22,000

Answer:21,908 is 22,000 to the nearest thousand. the digits after the 1 of 21 is 9. So we round up

Work out the area of the garden. HELP ASAP i’ll make u brainliest ♡︎

Answers

Answer: 120m2

Step-by-step explanation:8x11=88

19-11=8- length of triangle base. 1/2 base x height= 4x8=32

32+88=120m2

Find the equation of the parabola that has zeros of x = –2 and x = 3 and a y–intercept of (0,–30).

A)

y = x2 – 5x – 30

B)

y = 5x2+ 5x – 30

C)

y = –5x2 + 5x + 30

D)

y = 5x2 – 5x – 30

Answers

It's the letter B y=-5x2+5x+30.

Which of the following sets of points is a direct variation?
(0, 0); (-1, -2); (1, 2)
(0, 0); (2, 4); (5, 15)
(3,6); (-2, 4); (-1,2)
(0,5); (1, 6); (2,7)

Answers

The first one because I just didn’t at clases

What’s the least number of faces a polyhedron can have? And why?

Answers

Answer:

The minimum number of faces a polyhedron can have is 4 faces.

Step-by-step explanation:

We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).

Which graph represents the function p(x) = |x - 1|?

Answers

Step-by-step explanation:

Fourth graph represent the function p(x) = |x – 1|

Answer:

B

Step-by-step explanation:

Just did the unit test

Simply
7p2 x 3p
14p4

Answers

Answer:

[tex]{ \tt{ = \frac{7 {p}^{2} \times 3p}{14 {p}^{4} } }} \\ = { \tt{ \frac{21 {p}^{3} }{14 {p}^{4} } }} \\ = { \tt{1.5 {p}^{ - 1} }}[/tex]

A woman sold an article for 20.00cedis and made a profit of 25%.Find the cost price of the article.

Answers

Answer:

The cost price = GHc 16.00

Step-by-step explanation:

Selling price = GHC 20.00

Profit Percent = 25%

Cost price = ?

Formula for finding cost price =

[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]

Let's insert the numbers

[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]

So therefore ; the cost price is GHC 16.00

What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …

Answers

Answer:

y = 3x -7?

Step-by-step explanation:

started from 7 and going infinite

Nicole buys a meal in a town with a 9% sales tax. She tips 17% on the bill before adding the sales tax. She pays a total of $15.30. What should be the original cost of her meal?​

Answers

Answer:

17/100×15.30=2.60

9/100×15.30=1.37

15.30-(1.37+2.60)=11.33

A sculptor needs to lift a piece of marble it’s a cuboid with dimensions 1 by 0.2 by 0.5 marble has a density of 2.7 what’s the mass in kg

Answers

Answer:

Mass of piece of marble  = 0.27 kilogram

Step-by-step explanation:

Given:

Dimensions of cuboid = 1 x 0.2 x 0.5

Density of marble = 2.7

Find:

Mass of piece of marble

Computation:

Volume of cuboid = (l)(b)(h)

Volume of marble = 1 x 0.2 x 0.5

Volume of marble = 0.1

Mass = Density x Volume

Mass of piece of marble  = Density of marble x Volume of marble

Mass of piece of marble  = 2.7 x 0.1

Mass of piece of marble  = 0.27 kilogram

What is the sign of -9. (0/-3)

Answers

Answer:

C    Zero

Step-by-step explanation:

[tex] -9 \times (\dfrac{0}{-3}) = [/tex]

[tex] = -9 \times 0 [/tex]

[tex] = 0 [/tex]

Answer: C  Zero

someone help me pleaseeeeee

Answers

Answer:

D

Step-by-step explanation:

All parts of the circle have a star, meaning that Andrea has a 4/4 or 1 probability of landing on a part that has a star.

ANSWER PLEASEEEE!!!!!!!!!!!

Answers

Answer:

2^-6 is the correct answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{1}{64}[/tex]

=[tex]\frac{1}{2^6}[/tex]

according to the indices rule if u take denominator to the numerator the it exponent must be negative if it is positive and vice versa.So.

=[tex]2^{-6}[/tex]

What is the measure of ACB in O below?​

Answers

Answer:

A

Step-by-step explanation:

The central angle is equal to the arc that subtends it , then

arc AB = 30°

arc ACB = 360° - 30° = 330° → A


Help Me please!!!!! Rn

Answers

Answer:

20 degrees

Step-by-step explanation:

The sum of inner angles of a triangle is 180 degrees

120 + 40 + x = 180

160 + x = 180

x = 20

Answer:

A + 120 + 40 = 180 (interior angles of a triangle equal to 180°)

A = 180-120-40

A = 20°

1] Angelo used 425 centimeters of ribbon to trim banners he made. How many meters of ribbon did he use? ***HINT: 1 meter = 100 centimeters*** *

Answers

Answer:

4.25 meters

Step-by-step explanation:

425/100 = 4.25

or move the decimal to the left 2 places. One place for each zero in 100.

Find the value of x in the isosceles triangle shown below​

Answers

Answer:

2²+3² =x²

4+9. =

=13

x. =13

answer is option c

Answer:

C

Step-by-step explanation:

You divided 4/2 you get 2

2^2+3^2=x^2

x^2=4+9

x^2=13

x= square root 13

find the x-intercept of the function y=4x+6

Answers

Answer:

The x-intercept = -3/2

Step-by-step explanation:

Set y = 0 to find the x-intercepts;

=> y = 4x + 6

=> 0 = 4x + 6

=> 0 - 6 = 4x

=> -6 = 4x

=> -6/4 = x

=> -3/2 = x

Therefore the x-intercept = -3/2

Hope this helps!

-3/2 is your answer because yes

Thank you please shwo your work if you can<3 !!!!
x=
y=

Answers

Answer:

x = 2, y = - 1

Step-by-step explanation:

Given the 2 equations

y = - 7x + 13 → (1)

y = - 1 → (2)

Substitute y = - 7x + 13 into (2)

- 7x + 13 = - 1 ( subtract 13 from both sides )

- 7x = - 14 ( divide both sides by - 7 )

x = 2

y = - 1 is already given in (2)

Then x = 2, y = - 1

It showed that: y = -1
So the equation will be: -1 = -7x + 13

Now we solve from here, start by subtracting 13 on both sides:
-14 = -7x

Divide -7 on both sides:
2 = x
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