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
kirill115 [55]
3 years ago
13

Helen is putting a fence around her flower garden, which is in the shape of half of a circle and a rectangle. If the semicircle

has a diameter of 7 feet and the rectangle has a width of 10 feet, how much fencing will Helen need? A rectangle has a length of 10 feet and width of 7 feet. A semicircle has a diameter of 7 feet. What is the perimeter around the three sides of the rectangular section of the garden? What is the approximate distance around half of the circle? (Use pi = StartFraction 22 over 7 EndFraction) What is the total amount of fencing Helen needs?
Mathematics
2 answers:
andriy [413]3 years ago
7 0

What is the perimeter around the three sides of the rectangular section of the garden? 27ft

What is the approximate distance around half of the circle? 11ft

What is the total amount of fencing Helen needs? 38ft

Step-by-step explanation:

erastova [34]3 years ago
4 0

Answer:

Part 1) Helen will need 38 feet of fencing

Part 2) The perimeter around the three sides of the rectangular section of the garden is 27 feet

Part 3) The approximate distance around half of the circle is 11 feet

Step-by-step explanation:

Part 1) How much fencing will Helen need?

Find out the perimeter

we know that

The perimeter of the figure is equal to the sum of three sides of the rectangular section plus the circumference of a semicircle

so

P=2L+W+\frac{1}{2}\pi D

we have

L=10\ ft\\W=7\ ft\\D=7\ ft\\\pi =\frac{22}{7}

substitute

P=2(10)+7+\frac{1}{2}(\frac{22}{7})(7)

P=20)+7+11=38\ ft

therefore

Helen will need 38 feet of fencing

Part 2)  What is the perimeter around the three sides of the rectangular section of the garden?

P=2L+W

we have

L=10\ ft\\W=7\ ft

substitute

P=2(10)+7

P=20+7=27\ ft

therefore

The perimeter around the three sides of the rectangular section of the garden is 27 feet

Part 3) What is the approximate distance around half of the circle?

Find the circumference of semicircle

C=\frac{1}{2}\pi D

we have

D=7\ ft\\\pi =\frac{22}{7}

substitute

C=\frac{1}{2}(\frac{22}{7})(7)

C=11\ ft

therefore

The approximate distance around half of the circle is 11 feet

You might be interested in
Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Bus
Licemer1 [7]

Answer:

Let the complaints by Industry be CbI

CbI               Frequency

Bank            26

Cable           44

Car               42

Cell               60

Collection     28

b) Percentages

CbI               percentage (%)

Bank              13

Cable            22

Car                21

Cell               30

Collection     14

c) The industry with the highest number of complaints is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

Step-by-step explanation:

a) The frequencies are simply the number of times each industry sector sent in a complaint. So, it's straight forward to present.

b) The percentage for each industry is done in comparison to the the total amount of complaints received.

Percentage for each industry = 100% × (Number of complaints from that industry)/(Total number of complaints)

Total amount of complaints received = 200

For Bank industry,

Percentage = 100% × (26/200) = 13%

For the Cable Industry,

Percentage = 100% × (44/200) = 22%

For Car industry,

Percentage = 100% × (42/200) = 21%

For Cell industry,

Percentage = 100% × (60/200) = 30%

For Collection industry,

Percentage = 100% × (28/200) = 14%

c) The industry with the highest number of complaints is the one with the highest frequency and percentage, and that is the Cell Industry.

d) The Bar Chart is attached to this solution. It was constructed in the Ms Excel suite.

7 0
3 years ago
Write the equation of the circle with a center at (11,6) and a radius of 6.
andrew11 [14]

Answer:

(x-11)^2 + (y-6)^2= 6^2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The function f(x) = In(x) has a domain of all real numbers greater than zero and a range of all real numbers. The
solniwko [45]

Answer:

The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.

Step-by-step explanation:

4 0
3 years ago
Andy joins a social networking site. After day three, he has 25 friends; after day eight, he has 40 friends. Write the equation
Allisa [31]

Answer:

Point slope intercept form: The equation for line is given by; y-y_1=m(x-x_1) ......[1] ; where m is the slope and a point (x_1, y_1) on the line.

Let x represents the number of days and y represents the number of friends.

As per the statement:  After day three, he has 25 friends; after day eight, he has 40 friends.

⇒ We have two points i.e,

(3, 25) and (8, 40)

First calculate slope(m);

m = \frac{y_2-y_1}{x_2-x_1}

Substitute the given values we get;

m = \frac{40-25}{8-3}=\frac{15}{5} = 3

now, substitute the given values of m=3 and a point (3, 25) in [1] we get;

y-25=3(x-3)

Using distributive property; a \cdot(b+c) = a\cdot b + a\cdot c

y-25 = 3x - 9

Add 25 on both sides, we get;

y-25+25 = 3x - 9+25

Simplify:

y =3x + 16

if  x = 18 days, then;

y = 3(18) + 16 = 54+16 = 70

Therefore, he will have on day 18, if he continues to add the same number of friends each day is, 70 friends.

7 0
3 years ago
What is 1/8-10(3/4-3/8x)+5/8x
cluponka [151]

Answer:

x = 59/35

Step-by-step explanation:

<u>Step 1:  Distribute</u>

1/8 - 10(3/4 - 3/8x) + 5/8x

1/8 - 30/4 + 30/8x + 5/8x

<u>Step 2:  Combine like terms</u>

1/8 - 30*2/4*2 - 30/8x + 5/8x

1/8 - 60/8 + 35/8x

-59/8 + 35/8x

<u>Step 3:  Solve for x</u>

-59/8 + 35/8x + 59/8 = 0 + 59/8

35/8x * 8/35 = 59/8 * 8/35

x = 59/35

Answer:  x = 59/35

4 0
3 years ago
Other questions:
  • A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is superimposed on a h
    6·1 answer
  • tossing a number cube numbered from 1 to 6 and getting an even number that is greater than or equal to 2
    9·1 answer
  • How do i solve 12+4x=30+12
    8·1 answer
  • A quadrilateral has two consecutive angles that measure 90° each. Which of the following quadrilaterals could have this property
    15·2 answers
  • How many intersections are there of the graphs of the equations below?<br><br> One-halfx + 5y = 6
    14·1 answer
  • Which of the following functions has a horizontal asymptote at y = 2?
    6·1 answer
  • SOMEONE PLEASE HELP IF U GET IT RIGHT ILL GIVE U 15 POINTS PLEASE
    7·1 answer
  • Formúla General <br>a) 4x²=9x-2=0 <br><br>b) X²+8x-84=0<br>​
    13·1 answer
  • okay what is the ratio of 6 cups rolled oats to cups mixed nuts 1/2 cup sesame seeds one cup dried cranberries one cup of dried
    10·1 answer
  • Please answer it<br>I need it now​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!