1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mariarad [96]
1 year ago
14

A circular garden with a radius of 20 meters is surrounded by a walkway that measures 1 meter in width. -1 m 20 m Find the area

of the walkway to the nearest hundredth. Use 3.14 for π. ​
Mathematics
1 answer:
juin [17]1 year ago
4 0
<h3>Answer:  128.74  square meters</h3>

=========================================================

Explanation:

The area of the garden only (ignore the circular pathway) is approximately

A = pi*r^2

A = 3.14*20^2

A = 1256

The area of the garden plus the path is approximately

A = pi*r^2

A = 3.14*21^2

A = 1384.74

Notie how I added on 1 meter to increase the radius to 21

Subtract the two circle areas to get the area of the circular ring.

1384.74 - 1256 = 128.74

The units for all of the areas mentioned are "square meters".

You might be interested in
Use the distributive property to simplify the following expression: -3(-x - 3y)
alexandr402 [8]

Step-by-step explanation:

-3(-x -3y) = 3( x +3y) = 3x+9y

7 0
3 years ago
A cylinder has a diameter of 6 feet. the volume of the cylinder is 36/5π cubic feet.
Anton [14]

Answer:

Height of cylinder is \frac{4}{5}\ ft.

Step-by-step explanation:

Diameter of cylinder, D = 6 feet

Relation between Radius, R and diameter, D is given by:

R = \dfrac{D}{2}

So, radius, R = \frac{6}{2} \Rightarrow 3 feet

Let height of cylinder be h feet.

Formula for volume of cylinder is given by:

V = \pi R^{2} H

Where, R is the radius of base of cylinder

and H is the height of cylinder

We are given that,

V = \dfrac{36 \pi}{5} ft^{3}

Using formula for volume, V = \pi R^{2} H

\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft

Hence, Height of cylinder is \frac{4}{5}\ ft.

7 0
2 years ago
Can someone please explain to me how to get this answer?
SIZIF [17.4K]
Answers:
A = 120
b = 45.0
c = 33.2

Side Note: only one triangle is possible
See attached for a visual. I used GeoGebra to draw the triangle.

-------------------------------------------------------------
-------------------------------------------------------------

Explanation:

We are given the following information
B = 35
C = 25
a = 68

We need to find the following
A, b, c

where the lower case letters represent the side lengths; the upper case letters are the angles. The angles are opposite their corresponding sides. For instance, side lowercase b is opposite angle uppercase B. The other letters are positioned the same way.

-----------------------

First use the idea that for any triangle, the three angles (A,B,C) must add to 180 degrees
A+B+C = 180
Replace B and C with 35 and 25. Solve for angle A
A+35+25 = 180
A+60 = 180
A+60-60 = 180-60
A = 120

Now that we know the three angles A = 120, B = 35, C = 25, we can find the missing sides 'b' and 'c'

-----------------------

We will use the law of sines to find side b
sin(A)/a = sin(B)/b
sin(120)/68 = sin(35)/b
b*sin(120) = 68*sin(35) <<--- cross multiply
b = 68*sin(35)/sin(120)
b = 45.037013350222 <<--- use a calculator; this value is approximate
b = 45.0 <<--- round to the nearest tenth

-----------------------

Do the same for side c
sin(A)/a = sin(C)/c
sin(120)/68 = sin(25)/c
c*sin(120) = 68*sin(25) <<--- cross multiply
c = 68*sin(25)/sin(120)
c = 33.1838323365404 <<--- use a calculator; this value is approximate
c = 33.2 <<--- round to the nearest tenth

4 0
3 years ago
Read 2 more answers
22. If 1 m,m/19 - 118°, and m/16 - 48°, calculate m/12.
Ulleksa [173]

Answer: Option 4

Step-by-step explanation:

m\angle 20=62^{\circ} (linear pair)

m\angle 11=70^{\circ} (angle sum in a triangle)

m\angle 12=110^{\circ} (linear pair)

4 0
1 year ago
Add 43.688 + 127.859?
yan [13]
171.547 is the answer.
6 0
3 years ago
Read 2 more answers
Other questions:
  • How do you simplify the expression 7 - 2(2 + 5) -8?
    8·2 answers
  • 2. Solve. Draw a number bond for each set.
    10·1 answer
  • A rug is 12 feet wide and 15 1/2 feet long what is the area of the rug
    6·1 answer
  • What is the length of Line segment S R?
    10·1 answer
  • HELP ME PLEASE !!!!!!!!
    5·2 answers
  • Jamie, John, and Jake are on the prom committee. They are responsible for blowing up the balloons for prom night. John can blowu
    13·1 answer
  • I had to rewrite the questions cause I don't know how to edit them on a computer and PLEASE ANSWER but here is the question:
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Cpi%20-%201" id="TexFormula1" title="\pi - 1" alt="\pi - 1" align="absmiddle" class="latex-f
    14·2 answers
  • Marshall evaluates the expression 15.3 - 7.9 and gets an answer of 7.4.
    5·1 answer
  • Find the value of x in log 6 (9x- 12) = log 6 (6x + 4).
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!