Answers
We can see that both circles have the same radius. This means that the circles have same areas. Therefore, the area of the figure is the difference of the area of the rectangle and the sum of the area of the two circles.
Area of rectangle:The area of a rectangle is the vertical side length multiplied with the horizontal side length.
Area of rectangle = Length × WidthArea of rectangle = 12 × 6Area of rectangle = 72 ft²Area of circle:Substitute the radius in the formula to determine the area of the circle.
Area of circle = πr²Area of circle = π(3)²Area of circle = π(9)Area of circle ≈ (3.14)(9)Area of circle ≈ 28.26 ft²Area of shaded region:Area of shaded region ≈ Area (rectangle) - [Area (circle) + Area (circle)]Area of shaded region ≈ 72 - (28.26 + 28.26)Area of shaded region ≈ 15.48 ft² ≈ 16 ft² (Option E)Solution (Question 2):To determine the area of the shaded region, we need to determine the area of the square, then subtract it with the area of the circle.
Area of square:The area of a square is the measure of its side, squared. Therefore,
Area of square = (Side)²Area of square = (16)²Area of square = 256 in²Area of circle:The formula that determines the area of a circle is πr². We can tell that the radius of the circle is required to determine the area of the circle, as the formula to determine the area of a circle (πr²) includes the variable "r", which is the radius of the circle.
How to determine the radius of the circle?
Since we are given the diameter of the circle, we can determine the radius of the circle by creating an equation that represents the relationship between a diameter and radius. Then, substitute the diameter in the equation and solve for the radius of the circle.
Determining the radius of the circle:
It should be noted that the diameter is twice larger than the radius. Therefore, the equation that represents the relationship between the radius of the circle and the diameter of the circle is;
Diameter = 2(Radius)Substitute the diameter in the equation to determine the radius of the circle.
16 inches = 2(Radius)Divide 2 to both sides of the equation and simplify both sides:
16 inches = 2(Radius)16 inches/2 = 2(Radius)/2Radius = 8 inchesSubstitute the radius in the formula to determine the area of the circle.
Area of circle = πr²Area of circle = π(8)²Area of circle = π(64)Take π as 3.14
Area of circle = (3.14)(64)Area of circle ≈ 200.96 inches²Area of shaded region:Area of shaded region ≈ Area of square - Area of circleArea of shaded region ≈ 256 - 200.96Area of shaded region ≈ 55.04 inches² ≈ 55 inches² (Option C)Final answers:1) Option E2) Option C
Related Questions
What is the overlap of Data Set 1 and Data Set 2?
high
moderate
low
none
1 3 3 1 1
10 | 30 | 50 | 70 | 90
1 1 3 2 1
10 | 30 | 50 | 70 | 90
Answers
Answer: Answer:
There is moderate level of overlap between the two data sets.
Step-by-step explanation:
Overlap of data sets.
Overlap measures the degree of duplication that exists within data sets.
It is an indicator of the degree to which data are identical.
We are given two data sets in the question.
We have to find the amount of overlap in data set 1 and in data set 2.
There are 8 data points in data set 1 as shown in the image.
There are 8 data points in the data set 2 as shown in the image.
Out of the 8 data points for both data set 1 and data set 2, 5 data points overlap each other on 6, 7, 8 and 9.
Thus, we could say there is moderate level of overlap between the two data sets.
WILL CHOOSE BRAINLIEST. Choose the best estimate of the width of a human hair.
A. 1.7×10⁻² mm
B.1.2×10² mm
C. 1.7×10¹ mm
D. 1.2×10⁵ mm
Answers
Answer:
Id say its C!
Because in mm, a human hair on average is 70 mm's thick
Have a wonderfull day :D
Do you think the three groups are very different or not?
Answers
Answer:they are very different
Step-by-step explanation:
They are too far apart
Which two expressions are equivalent?
Answers
the answer is c and b thats what it is hope this helps you
Answer: C
Step-by-step explanation: y * 2 and 2 * y are always going to be the same and the 12 - is there in both expressions so it's C.
What is the value of x?
Answers
95 - 135 = 40
Hope this helps!!
Hello PLS HELP..........
Answers
Answer:
its one
Step-by-step explanation:
octagon-4
hexagon-3
4-3=1
your welcome
A spinner has 5 equally sized sections labeled A, B, C, D, and E.
What is known about the probability model for this situation?
Select all correct answers.
A. The probability model for this situation is non-uniform.
B. The probabilities of the individual outcomes are not the same.
C. The probabilities of the individual outcomes are the same.
D. The probability model for this situation is uniform.
Answers
Answer:
B. and D.
Step-by-step explanation:
I believe it's right because it is uniform and im pretty sure they are not the same though
The probability model for this situation is
The probabilities of the individual outcomes are the same.
and, The probability model for this situation is uniform.
The correct option is (C) and (D).
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Given:
A spinner has 5 equally sized sections labeled A, B, C, D, and E.
As,
P(A)= P(B)= P(C)= P(D)= P(E)= 1/5, which is same.
The probability model for this situation is uniform.
Hence, The probabilities of the individual outcomes are the same.
and, The probability model for this situation is uniform.
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
3/5x10/11 ( this / means fraction symbol ) simplify if can
Answers
Help asap Need answer now!
Answers
i will give brainliest if correct!!
Evaluate the expression (6 + 4) x 3-4 ÷ 2 using PEMDAS. (
Answers
Answer:
Step-by-step explanation:
Step 1: Solve inside the parenthesis
[tex](6 + 4) * 3 - 4 / 2[/tex]
[tex](10) * 3 - 4 / 2[/tex]
Step 2: Multiply the left side
[tex]10 * 3 - 4 / 2[/tex]
[tex]30 - 4 / 2[/tex]
Step 3: Divide the right side
[tex]30 - 4 / 2[/tex]
[tex]30 - 2[/tex]
Step 4: Subtract from each other
[tex]30 - 2[/tex]
[tex]28[/tex]
Answer: [tex]28[/tex]
Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $128 in interest after 2 years. How much money should he deposit?
Answers
To solve for the Principal amount, we will use the formula:
P = I / rt
P = principal amount; which is the amount that we will be solving for.
I = the interest accrued within the allotted time frame. ($160)
r = the interest rate percentage. (1.6%)
t = the time frame that the money will accrue interest. (2 years)
Before we can plug in the numbers into our formula, we need to convert our percent into a decimal. To do this, move the decimal two places to the left. This will leave us with 0.016. We'll use that for "r".
Let's plug in the numbers:
P = 160 / (0.016) (2)
Multiply your bottom numbers together for 0.016 x 2 =0.032
P = 160 / 0.032
Divide now.
160 ÷ 0.032 = 5,000.
This tells us that, Bert will need to deposit $5,000 into the savings account to earn $160 within 2 years with a 1.6% interest rate.
(helps please, view the image below..)
Answers
Answer:
A. KOL and LOM
Step-by-step explanation:
Adjacent angels must share a vertex and the same common side. KOL and LOM match both of these requirements.
norm has $25 from his birthday to start with and plans to add $7 each week
Answers
Answer:
Total amount = 7x + 25
Step-by-step explanation:
Assuming that week can be denoted by a variable, in this case, x. Also assume that the total amount owned is denoted by the variable, y.
Note that $25 is the constant, meaning that that amount will not change. Norm would technically have at least $25 regardless of how much week passes.
The amount that changes per week is the addition of $7.
Set the equation:
Total amount = ($7 per week x amount of week(s)) + starting amount (constant).
Total amount = 7x + 25
~
b. The manufacturer decides to decrease the size of the box by reducing each of the dimensions by 1 inch. Find the decrease in surface area.
I already know what the surface area is please help me
Answers
Answer:
94 in, or about a 25% decrease.
Step-by-step explanation:
Starting surface area- 384
Decreased surface area- 290
384-290=94
To go from 384 to 290 would be a 24.48% decrease.
5 books cost $23. How much does 1 book cost?
Answers
Answer:
One book costs 4.50 Please consider brainliest thank you and have a blessed day!!! <3
Step-by-step explanation:
i was doing a project and than i noticed i did everything so now im confused what to do can someone help me with my project i will give u brainliest
Answers
Answer:
Step-by-step explanation:
I can't see the screen may you scrollin?
Distribute to create an equivalent expression with the fewest symbols possible.
(6e − 3f − 4) ⋅2 =
Answers
How does the total height of the plants that measure 1 /2 inch compare to the total height of the plants that measure 3 /4 inch? brainliest on the line
Answers
Answer: They are both the same height of 1 1/2.
Step-by-step explanation:
1/2 x 3 = 1/2 x 3/1 = 3/2 = 1 1/2
3/4 x 2 = 3/4 x 2/1 = 6/4 = 1 2/4 = 1 1/2
Mr. Markum also orders sneakers for the girls' softball
team. He makes the table below. The mean size of the
sneakers to the nearest tenth is 8.2. Complete the table.
Answers
7.5- 0.7
8- 0.2
8.5- 0.3
9- 0.8
9.5- 1.3
10- 1.8
Juan’s classroom is shaped like a rectangle. The room is 40 feet long and 25 feet wide. Which rectangle could be a scale drawing of Juan’s classroom?
Answers
Answer:
D
Step-by-step explanation:
In this problem, the length is 40 feet and the width is 25 feet.
25 is close to half of 40 so one side has to be abnout half the size as the other side.
The rectangle that fits this is rectangle D
Answer:
D
Step-by-step explanation:
Help me please, and thank you
Answers
Answer:
3:4
Step-by-step explanation:
The area of the circle is 81 π units². It is divided into 6 equal parts. What is the perimeter of the shaded region in terms of π?
I attached a diagram as well.
I'd also appreciate anyone who can help me, as I am in need of it.
Thank you.
Answers
(pi)r^2
(pi)r^2 = (pi) 81
r^2 = 81
r = 9
Perimeter of a circle:
2(pi)r
[2(pi)9]:3 = (18pi):3 = 6pi [the two small arcs]
9 = 2.87pi
2.87pi x 4 = 11.5pi
Perimeter of shaded area:
11.5pi + 6pi = 17.5pi
the city is planning to add a fish pound to a neighborhood park. the figure below is a scale drawing of the fish pound. its scale is 1/2 inches to 15 feet.
the city will place a low fence around the entire fish pound . how long will the fence be .
Answers
Answer: Sorry if it's wrong I hope I helped you
Find the area of the composite figure.
602 square centimeters
374 square centimeters
488 square centimeters
469 square centimeters
Answers
Answer:
Option C, 488 square centimeters
Step-by-step explanation:
Step 1: Determine the area of the rectangle
[tex]A = l * w[/tex]
[tex]A = 22\ cm * 17\ cm[/tex]
[tex]A = 374\ cm^2[/tex]
Step 2: Determine the area of the triangle
[tex]A=\frac{h*b}{2}[/tex]
[tex]A=\frac{19\ cm * (22\ cm-10\ cm)}{2}[/tex]
[tex]A=\frac{19\ cm * (12\ cm)}{2}[/tex]
[tex]A=\frac{228\ cm^2}{2}[/tex]
[tex]A=114\ cm^2[/tex]
Step 3: Determine the total area
[tex]A_{total} = 374\ cm^2 + 114\ cm^2[/tex]
[tex]A_{total} =488\ cm^2[/tex]
Answer: Option C, 488 square centimeters
What is the answer to this, I somehow got 9 3/4. Can someone help me with explanation? Thanks (Question 5 BTW)
PLEASE HELP ME ASAP SO I CAN DO MY HW QUICK FOR A TEST SO I CAN STUDY IT SOON
Answers
Answer:
we need to see more. You did not show what the data was so we can figure out the answer.
You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.5 feet, and the height will be 20 inches.
Answers
Katelyn went to the store and bought 2 shirts that were originally $12 each, but got a 15% discount for each shirt. If she has to pay 7% sales tax, how much did she spend total?
A) $24.83
B) $10.20
C) $21.83
D) $22.00
Answers
Answer:
c
Step-by-step explanation:
$21.83
hope this helps :))
Answer:
B but am not really sure
Step-by-step explanation:
The graph below shows the numbers of visitors at a museum over six days.
Answers
Answer:
a) 305 people
b) Friday to Sunday
Step-by-step explanation:
A. The highest point that the graph reaches is 305
B. The biggest decline is from Friday to Sunday.
B) Friday to Sunday
305 is the highest number in the graph and the most decrease days is Friday to Sunday
PLEASE ANSWER NOW!!! I'M TIMED ON EDGE!!!
Leo wants to determine the average number of texts middle school students send in a day. Since all middle school students are enrolled in history, he randomly surveyed 4 students from each of Mr. Barnes’s eighth-grade history classes. Ms. Lopez and Mrs. Frank also teach eighth-grade history. What should Leo do to ensure his sample is representative of all middle school students?
He should take the sample as is because he randomly surveyed students in each of Mr. Barnes’s classes.
He should also take a sample from Ms. Lopez’s and Mrs. Frank’s classes so that each student has the same chance of being chosen.
He should also take a sample from each of the other history classes in all of the other grades in the middle school.
He should survey all the students in all the history classes to make sure he collects enough data.
Answers
Answer: C) He should also take a sample from each of the other history classes in all of the other grades in the middle school.
Step-by-step explanation:
In order for his sample to be representative of all middle school students Leo: C) Should also take a sample from each of the other history classes in all of the other grades in the middle school.
What is sample?Sample can be defined as the data that is randomly collected by a researcher so as to reach or draw a conclusion.
Since only one grade is being surveyed which is Mr. Barnes’s eighth-grade history classes, he should as well carryout the survey on Ms. Lopez and Mrs. Frank history class.
Inconclusion he should also take a sample from each of the other history classes in all of the other grades in the middle school.
Not only students in the 8th grade are in the middle school, there are other students in other grades who are in the middle school and are enrolled in history classes. Leo's sample is only from one grade of the middle school. In fact, including Ms. Lopez's and Mrs. Frank's classes in the selection of sample is not sufficient. Leo has to take a sample from the remaining grades to avoid making a wrong conclusion as a result of bias in the choice of data.
Please help! Branliest to first right answer tysm!
Answers
Answer:
7.2 | 6.2 | 2.2 | -2.8 | -3.8 | -8.8
0.2
Step-by-step explanation:
Step 1) Find the mean
How to find it?
Add all the numbers listed above and divide by the number of numbers in the set (6)
This mean you should get 67/6=11.2
Step 2) Find the distance from the mean.
How do I do this?
Since you are trying to find the difference you will use the equation 11.2-(number)
Example) 11.2-4=7.2
This will give you the answers for the second half of the table.
Step 3) Find the mean of those distances to find the mean absolute deviation
How do I do this?
Add all the numbers on the second half of the table and then divide by 6. This will give you your mean absolute deviation.
I hope this helps! :D
(Sorry I was slow to respond!)