this figure is made from part of a circle and part of a square. what is the perimeter of this figure, to the nearest unit? what is the area of this figure, to the nearest square unit?
illustrative math grade 7 unit 3 end of unit assessment B
Answers
The perimeter of this figure, to the nearest unit, is 21.9 units, and the area of this figure, to the nearest square unit is 62.53 square units.
What is a square?
It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.
We have a figure shown in the picture made with squares and circles.
To find the perimeter of the figure.
First, calculate the circumference of the circle portion.
The circumference of the 1/4 circle = (1/4)2πr
The radius of the circle r = 5 units
The circumference of the 1/4 circle = (1/4)2π(5)
The circumference of the 1/4 circle = 7.85 units
The perimeter of the figure = 2 + 5 +7.85 + 2+ 5
The perimeter of the figure = 21.85 units ≈ 21.9 units
The area of the figure = area of the square - an area of the square(5×5) +
area of the 1/4 circle
The area of the figure = 3×3 - 5×5 + π(5)²
The area of the figure = 9 - 25 + 78.53
The area of the figure = 62.53 square units
Hence, the perimeter of this figure, to the nearest unit is 21.9 units, and the area of this figure, to the nearest square unit is 62.53 square units.
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Related Questions
An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75. A sample of 30 days reveals a daily average revenue of $625. If you were to test the null hypothesis that the daily average revenue was $675 with a level of significance level of 0.01. Which test would you use and why?
a. Z-test of a population mean.
b. T-test of population mean.
c. Z-test of population proportion.
d. t-test of a population proportion
Answers
Answer:
a. Z-test of a population mean.
Step-by-step explanation:
The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.
This means that we have a large sample, which means that we can consider this to be the standard deviation for the population, which eliminates the t-test, leaving options a and c.
Population mean or proportion?
Mean, as a proportion is a value between 0 and 1, while average revenue may have lots of possible values. So the answer is given by option A.
Q1. Butternut is a ski resort in Massachusetts. One of their triple chair lifts unloads 576 skiers per hour at the top of the slope. (A triple chair lift can carry three passengers per chair.) If 108 skiers are riding on the lift at any one time, how long does the ride from the bottom to the top take
Answers
Answer:
11.25minutes
Step-by-step explanation:
From the question we are told that lifts unloads 576 skiers per hour at the top of the slope, this is expressed as;
576skiers = 1hr
To determine the time it will take 108skier, we can write
108skier = x
Divide both expressions
576/108 = 1/x
576x =108
x = 108/576
x = 0.1875hr
Convert to minute
x = 0.1875×60
x = 11.25minutes
Hence it took the ride 11.25minutes
Divide.
24,350 + 50 =
O A. 478
OB. 487
O C. 527
O D. 587
PLS HURRY IM SUPER CONFUSED
Answers
Answer: 487, B.
Step-by-step explanation:
24350 ÷ 50 = 487.
Divide :)
The answer is 487, or B.
8th grade math please help
Answers
Answer:
167y/3
Step-by-step explanation:
x=24-y
x=100/3-5y/3
What is the solution to the system of equations? 3x - 6y = - 12 x - 2y = - 8 Use the substitution method to justify that the given system of equations has no solution.
Answers
Answer:
There is no solution to this system.
Step-by-step explanation:
The left side of the first equation is 3 times the left side of the second one.
If we multiply the whole of the second equation by 3 we get:
3x - 6y = -16.
As the first equation is 3x - 6y = -12 we see that there is no solution to this system. 3x - 6y can't be equal to -12 and -16.
Write the following equation in standard form: x^5+ 2x^3 +6x +1/5
- ודם
Answers
Answer:
The equation is in standard form
Step-by-step explanation:
Hope this helps
7. A pupil sat for a test in five subjects.
He got a total of 380 marks. How
many marks did he lose if every
subject was marked out of 100?
A. 280 B. 500
C. 120
D 220
Answers
Answer:
option C: 120
Step-by-step explanation:
total marks = 5× 100 = 500
marks he obtained = 380
marks he lost = 500 - 380 = 120
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
46.8 divided by 39 equals what
Answers
Answer:
1.2
Step-by-step explanation:
If sin(x) = cos(y), which of these are possible values of x and y?
A X=and y = 0
B x = 15 and y = 30
C x = 30 and y = 60
D x = 120 and y = 60
Answers
Step-by-step explanation:
C
good luck
:) :) :) :) :) :) :)
The value of x and y are respectively, 30°, 60°. So option C is correct.
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
There are 6 commonly used functions in trigonometry with their name and abbreviations-
sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)
If sin(x) = cos(y), then x and y must satisfy the following relationship:
sin(x) = cos(90 - x)
So, x and 90 - x must both be in the range of 0 to 90 degrees, or x must be in the range of 0 to 45 degrees.
Therefore, the only possible values of x and y that satisfy this relationship are:
x = 30 degrees and y = 60 degrees
Thus, the value of x & y are 30° & 60°
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What is the unit rate of the equation below? y = 2x + 8
Answers
Sum of the second and third consecutive odd integers, simplified
Answers
Odd Integers
If you recall, an even integer is always
2
2 times a number. Thus, the general form of an even number is
n
=
2
k
n=2k, where
k k is an integer.
If I am incorrect I am so sorry.:(
15. 12 kg çilekten 6 kg reçel
yapılıyor.
22 kg reçel yapmak
için kaç kg çileğe ihti-
yaç olur?
Answers
Answer:
12kg
Step-by-step explanation:
because 2×2×2+4=12
jskgx
Jamie has $5.00 and Matt has $6.00. If they put their money together, will they be able to buy a souvenir program?
Here's the Souvenir prices:
Souvenir Program $13.00
T-shirt $17.00
Cap $12.50
Please help!!!!!!!!!!!!
Answers
Matt: $6.00
5.00
6.00
+
———-
11.00
If I’m correct No they will not be able to buy a souvenir program unless they get more ....
Monte owned stock in Hadley Corporation which paid an annual dividend of $5.15 per share. If the closing price per share was $52.50 in 2011, what was the yield% (to the nearest tenth of a percent)?
7.9%
8.5%
9.8%
10.2%
None of these choices are correct.
Answers
Answer: it going to be 10.2% percent
Step-by-step explanation: that how you get your answer as your -
10.2 %
What is the slope of the following equation of a line? 2x + 3y = 12
Answers
Answer:
m = -2/3
Step-by-step explanation:
2x + 3y = 12
-2x. -2x
3y = -2x + 12
÷3. ÷3. ÷3
y = -2/3x + 4
m = -2/3
if you ever see this form : ax+by=c
and it asks about the slope, then you can use this rule : slope= -a/b
and if it asks about the y-intercept, you can use this rule : y-intercept= c/b
so to get the slope of your question, all you have to do is : slope = -2/3
I hope this helped !
PLS HELP ME :)) i will mark brainliest!!!
Answers
Answer:
51 deg
Step-by-step explanation:
By corresponding parts of congruent polygons, <BAD is congruent to <FEH.
m<BAD = m<FEH = 51 deg
Answer: 51 deg
Answer:
51 degrees
Step-by-step explanation:
The answer is 51 degrees because the two pyramids shown are congruent which means that since we are given the degree measure of angle FEH then we can plug in that measure to find the measure of angle BAD. We can also use what we know about degrees to figure out that because angle CBA is equal to 129 degrees then angle BAD is equal to the difference between the measure of angle CBA and 180 degrees which is 59 degrees.
P(A and B)
Hint:
Find P (Senior Boy)
P(B)
Classroom of Students
Boys Girls
Freshman 4
4 8
Sophomore 5 7 12
[?]
Junior 2 3 5
Senior 1
4 5
12 18
Please help :(
Answers
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Number of boys = 12
Number of girls = 18
Total number of students = 12 + 18 = 30
Probability refers to chances of occurrence of any event.
Probability = Number of favorable outcomes ÷ Total number of possible outcomes
To find P(Senior | Boy), use [tex]P(A|B)=\frac{P(A\,\,and\,\,B)}{P(B)}[/tex]
P(Senior and Boy) = [tex]\frac{1}{30}[/tex]
P(Boy) = [tex]\frac{12}{30}[/tex]
So,
P(Senior | Boy) = P(Senior and Boy) ÷ P(Boy) = [tex]\frac{\frac{1}{30} }{\frac{12}{30} } =\frac{1}{12}[/tex]
Answer:
1/12
Step-by-step explanation:
What is the equation of the function that is graphed as line b?
YA
D.
5
Oy=2x+1
O y=-4x
Answers
Answer:
C
Step-by-step explanation:
so taking the slope from the points (0,1) and (2,2)
we get slope= 2-1/2-0=1/2 the y intercept is one
so y=mx+b(where m is the slope and b is the y intercept)
we get= y=1/2x+1
which is C
if my answer helps please mark as brainliest.
Select the most precise name of quadrilateral MNOP given the coordinates of M, N, O, and P.
Answers
Answer:
Parallelogram
Step-by-step explanation:
That dude above doesn't know what his talking about its parallelogram my teacher confirmed it too
The quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.
QuadrilateralA quadrilateral is a polygon with four angles and four sides.
Given the vertices of quadrilateral MNOP at M(1, 1) N(3, 4) O(6, 6) P(4, 3). Plotting the points using geogebra,
We can see that the quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.
Find out more on Quadrilateral at: https://brainly.com/question/23935806
Please help will give brainliest.
Answers
Answer:
13 petunias
Step-by-step explanation:
13x7=91
9x8=72
add them and you get 163
Please tell me the answer to this. Very easy points if you ask me.
x + 8x = ?
Answers
x + 8x = 9x
(like 1 + 8 but with x's)
2yd 9yd. 8yd. Surface area of rectangular
Answers
Answer:
5
Step-by-step explanation:
Ryan's unpaid credit card balance was $1853.68. His APR is 24.9%. What is his new balance after he makes one new transaction for $178?
Answers
Answer: 2070.14
Step-by-step explanation:
Slide the decimal for 24.9 and get 0.249
1853.68 × 0.249 ÷ 12 = $38.46
you have 0.249 as the monthly rate which means dividing it by 12 is a key to your answer
$1853.68 +38.46 + 178.00 = $2070.14
х 9 17 25 33 -6 -24 -96 -384 Is the relationship linear , exponential , or neither?
Answers
Answer:
exponential!!! That is the answer if this is for Khan Academy!!
Use the rule x + 3 to find the missing number on the table.
X Y
0 3
3 6
11
7 10
9 12
Answers
The missing number on the table using the rule y = x + 3 is 14
How to use equation to find missing number?X Y
0 3
3 6
11 y
7 10
9 12
The rule:
y = x + 3
y = 0 + 3
y = 3
y = 3 + 3
y = 6
y = 11 + 3
y = 14
y = 7 + 3
y = 10
y = 9 + 3
y = 12
Therefore, the missing number on the table is 14
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When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 75 days by 11 workers. How many days would it take to build a similar house with 33 workers?
Answers
Answer:
25 daysStep-by-step explanation:
11 workers in 75 days
so 33 workers do it in 25 days
MARK ME AS BRAINLIST3. Evaluate and graph
the solution.
3. E
the
"the
5x + 9-3x s 21
+
++
Answers
Answer:
x=6
Step-by-step explanation:
5x+9-3x=21
5x-3x=21-9
2x=12
x=6
A human resources manager keeps a record of how many years each employee at a large company has been working in their current role. The distribution of these years of experience are strongly skewed to the right with a mean of 333years and a standard deviation of 222 years. Suppose we were to take a random sample of 444employees and calculate the sample mean for their years of experience. We can assume independence between members in the sample.
What is the probability that the mean years of experience from the sample of 444 employees xˉxˉx, with, \bar, on top is greater than 3.53.53, point, 5 years?
Answers
Answer:
0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Distribution of years of experience:
Mean 3, so [tex]\mu = 3[/tex]
Standard deviation 2, so [tex]\sigma = 2[/tex]
Sample of 4:
[tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]
What is the probability that the mean years of experience from the sample of 4 is greater than 3.5?
1 subtracted by the pvalue of Z when X = 3.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{3.5 - 3}{1}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.
Answer:
We cannot calculate this probability because the sampling distribution n ot normal
Step-by-step explanation: Khan academy
If 3 people can complete half of a job in 20 days, how long would it take for 12 people to do the complete job?
Answers
Answer:
If 3 people can complete half a job in 20 days, then three people can complete a job in 40 days. Since 12 people is four times as many, instead of taking 40 days, it should take 10 days
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arianna read a total of 24 books in 6 weeks. How many books will she read in 36 weeks at the same rate?
Answers
Answer:
216
Step-by-step explanation:
if she reads 24 books in 6 weeks
you do 36x6
which is 216