answer.
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
baherus [9]
2 years ago
7

A rectangle is placed around a semi circle as shown below. The width of the rectangle is 7yd. find the area of the shaded region

. Use the value 3.14 for pie and do not round your answer. Be sure to include the correct units in your answer

Mathematics
1 answer:
Nady [450]2 years ago
4 0

Answer:

21.07 yd^2

Step-by-step explanation:

The width of the rectangle is also the radius of the semicircle. The length of the rectangle is 2 radii, or 14 yd.

The area of the shaded region is the same as the area of the semicircle subtracted from the area of the rectangle.

area of shaded region = area of rectangle - area of semicircle

A = LW - (1/2)(pi)r^2

A = 14 yd * 7 yd - (1/2)(3.14)(7 yd)^2

A = 98 yd^2 - (1.57)(49 yd^2)

A = 98 yd^2 - 76.93 yd^2

A = 21.07 yd^2

You might be interested in
Sue’s Corner Market has a markup of 60% on bottled water. If the market sells a bottle of water for $2, find the original amount
lakkis [162]

Markup is the amount added to the cost price of goods to cover overhead and profit.

Sue’s Corner Market has a markup of 60% on bottled water.

Let us say original price was $x.

Now price after markup is $2.

So we can make an equation like:

original price + markup price = price after markup

x + 60% of x =2

x + 0.6x =2

1.6x =2

dividing both sides by 1.6

x= 1.25

So original price was 1.25 dollars.

5 0
2 years ago
Read 2 more answers
The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor?
PtichkaEL [24]

Answer:

\left(y-8\right)

Step-by-step explanation:

y^2-10y+16

=\left(y^2-2y\right)+\left(-8y+16\right)

y^2-2y

=yy-2y

=y\left(y-2\right)

-8y+16

=-8y+8\cdot \:2

=-8\left(y-2\right)

=y\left(y-2\right)-8\left(y-2\right)

=\left(y-2\right)\left(y-8\right)

The other factor is:

\left(y-8\right)

5 0
2 years ago
Read 2 more answers
A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find
lyudmila [28]

<u>Answer:</u>

f(x)=120000 \times (1.055)^{x}

<u>Step-by-step explanation:</u>

We are given that the present value for the home is $120,000 and the rate of interest is 5.5% i.e. 0.055.

We will use the following formula:

f(x)=P \times (1+r)^{x}

where P is the present value, r is the rate of interest and x is the number of years.

Substituting the values in the above formula to get:

f(x)=120000 \times (1+0.055)^{x}

f ( x ) = 120000 \times ( 1.055 ) ^ { x }

8 0
2 years ago
Read 2 more answers
Here are 15,000 students at college x. of those students, 1,700 are taking both ethics and metaphysics this semester. there are
tekilochka [14]
I think the answer is 1,600 totals students taking metaphysics
7 0
2 years ago
Read 2 more answers
Pedro cut a sheet of poster board into 10 equal parts. His brother used some of the poster board and now 8/10 is left. Pedro wan
yawa3891 [41]

Answer: 8


Step-by-step explanation:

Given: Pedro cut a sheet of poster board into 10 equal parts.

let x be the total sheet.

then, one part of sheet= \frac{1}{10} of the sheet

Now, His brother used some of the poster board and now 8/10 is left.

Therefore, if Pedro wants to make a sign from  each remaining part of the poster board.

then, The number of signs he can make= \frac{8}{10}\div \frac{1}{10}=\frac{8}{10}\times\frac{10}{1}=8

Hence, Pedro can make 8 signs.

4 0
2 years ago
Read 2 more answers
Other questions:
  • Each chef at "sushi emperor" prepares 151515 regular rolls and 202020 vegetarian rolls daily. on tuesday, each customer ate 222
    10·1 answer
  • A jar pinto beans and black beans in a ratio of 1:1, and 300 of the beans are pinto beans. How many beans are there in the jar?
    6·1 answer
  • One astronomical unit is about 93,000,000 miles. At 20,000 miles per hour, how many astronomical units can Orion travel in one h
    14·2 answers
  • Four friends each flipped a coin different numbers of times.
    8·1 answer
  • The population of a parish is growing with an annual percentage rate compounded continuously. The population reaches 1.1 times i
    11·2 answers
  • X2 + y2 = 1 x = 1 Hina's work: substitute: (1)2 + y2 = 1 simplify: 12 + y2 = 1 isolate the variable: y2 = 0 solve for y: y = 0 C
    14·2 answers
  • Which one of these statistics is unaffected by outliers?Mean Interquartile range Standard deviation Range
    10·1 answer
  • Shelly states that the triangles below are similar. Which proportion supports her statement? Triangle S T R. Side S T is 6, T R
    14·2 answers
  • if f(x) is the total cost in dollars of x candies which of the following statements best describe meaning of F(2) =6
    15·1 answer
  • What are the vertices of ΔA'B'C produced by T⟨−3, 6⟩ (ΔABC) = ΔA'B'C?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!