A square has a side that measures 5.5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for π, and round your answer to the nearest hundredth. 38.47 units2 94.99 units2 153.86 units2 379.94 units2
Answers
Answer:
Answer choice A) About 38.47 square units
Step-by-step explanation:
Since all four sides of a square have the same length, the perimeter of a square is just 4 times one of the side lengths. The perimeter of the square and therefore the circumference of the circle is 5.5*4=22. The circumference of a circle is 2 times the radius multiplied by pi. The radius of this circle is therefore:
[tex]\dfrac{22}{2\pi}\approx 3.503[/tex]
Since the area of a circle is [tex]\pi r^2[/tex], the area of this circle is:
[tex]\pi \cdot 3.503^2= 3.14\cdot 12.271\approx 38.47[/tex]
Hope this helps!
The area of a circle with a circumference that equals the perimeter of the square is about 38.47 square units
Since all four sides of a square have the same length, the perimeter of a square is just 4 times one of the side lengths.
The perimeter of the square and therefore the circumference of the circle is [tex]5.5*4=22.[/tex]
The circumference of a circle is 2 times the radius multiplied by pi. The radius of this circle is, therefore
[tex]22/2\pi=3.503[/tex]
What is the area of the circle?The area of a circle is [tex]\pi r^2[/tex],
the area of this circle is:
=[tex]\pi \times 3.305^2[/tex]
[tex]=3.14(12.27)[/tex]
=38.47 unit^2
Thus, The area of a circle with a circumference that equals the perimeter of the square is about 38.47 square units.
To learn more about the circle visit:
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Related Questions
A blockbuster movie makes about $35,200,000 in the
United States during its opening weekend. The same
weekend another movie opens but only makes about
$2,500,000
What is the combined revenue for the movies? Write
your answer in scientific notation.
Show your work.
Please help.
Answers
Answer:
$3.77 * 10^7
Step-by-step explanation:
$35,200,000 + $2,500,000 = $37,700,000 = $3.77 * 10^7
What is the value of S, for ΣΒ(2) -
=1
Ο 43
84
90
ΘΕ
Answers
Answer:
Option (3)
Step-by-step explanation:
Given expression in this question represents the partial sum of an infinite geometric series in the sigma notation.
[tex]S_{n}=\sum_{n=1}^{\infty}6(2)^{n-1}[/tex]
First term of this series 'a' = 6
Common ratio 'r' = 2
We have to find the sum of 4 terms of this infinite series (n = 4).
Sum of n terms of a geometric series is,
[tex]S_n=\frac{a(r^n-1)}{(r-1)}[/tex]
[tex]S_4=\frac{6(2^4-1)}{(2-1)}[/tex]
[tex]=\frac{6(16-1)}{(1)}[/tex]
[tex]=90[/tex]
Therefore, sum of 4 terms of the given series will be 90.
Option (3) will be the answer.
Five minutes after midnight of 25 April 2016 there was a heavy rain in Adelaide. 144 hours later, what is the probability that it would be sunny over there? Justify your answer.
Answers
Answer:
0
Step-by-step explanation:
144 h = 6 days
Six days later would be midnight on May 1.
That's autumn in Australia, so sunset was probably around 8 pm. By midnight it would be completely dark.
The probability of Adelaide being sunny at midnight is zero.
What is the midpoint of the segment shown below ?
Answers
Hey there! :)
Answer:
(5, 1/2)
Step-by-step explanation:
Recall that the midpoint formula is:
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Plug in the point values to solve for the midpoint:
[tex](\frac{5+5}{2}, \frac{-3+4}{2} )[/tex]
Simplify:
[tex](\frac{10}{2}, \frac{1}{2})[/tex]
(5, 1/2) is the midpoint.
Answer:
Midpoint: B. (5, 1/2)
Step-by-step explanation:
Add the x-coordinates of the endpoints and divide by 2.
Add the y-coordinates of the endpoints and divide by 2.
x: (5 + 5)/2 = 10/2 = 5
y: (4 + (-3))/2 = 1/2
Midpoint (5, 1/2)
How do you tell the difference between a inclusive data set probability and a exclusive data set probability?
Answers
Answer:
2 events are mutually exclusive when they cannot both occur simultaneously. 2 events are mutually inclusive when they can both occur simultaneously. The possible results of 1 trial of a probability experiment. ... When everyone or everything in a population has an equal chance of being selected.
Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.
Step-by-step explanation:
A car travels 0.75 miles every minute explain how you could use proportional reasoning to find how far the car travels in one hour
Answers
Answer:
A car can travel 45 miles every hour, because I multiply 3/4 (0.75) by 60. Because of this, 60 minutes is an hour.
Step-by-step explanation:
Find the total surface area of this cuboid
Answers
Answer:
76
Step-by-step explanation:
SA=2lw+2lh+2hw, to find the surface area.
i have rounded the answer up by 1 decimal place
In each figure below, find m∠1 and m∠2 if a||b. Show your work with statements.
Answers
Answer:
m < 1 = 80
m < 2 = 70
Step-by-step explanation:
As we can see in the figure that
[tex]a || b[/tex]
Plus line s and t are considered to be transversals
That results into
m < 1 and 80
i.e alternate angles
And as we know that alternative angles are equal to each other
So,
m < 1 = 80
Moreover,
m < 2 = 70
As corresponding angles are equal to each other
Therefore the m < 1 = 80 m < 2 = 70 could be computed easily by applying the above things
I WILL MARK YOU BRAINLIEST!!!! PLZ HELP
Answers
Answer:
C. G(x) is a negative number with a small absolute value
Step-by-step explanation:
As x increases, G(x) goes towards 0 from the a negative quadrant.
For which equations is 8 a solution? Check all that apply.
Ox+6=2
X+2 - 10
ox-4-4
Ox-2-10
0 2x=4
3x - 24
OŠ - 16
Answers
Answer:
3x-24
Step-by-step explanation:
because 3x-24 divide both side by co efficient of x which is 3 so 24/3=8
Help help help please urgent ❤️
Answers
Answer:
5565
Step-by-step explanation:
5565
intuitively i think its 5565 ;)
Meena's father's present age is six times Meena's age. Five years from now she will be one-third of her father's present age. What are their present ages?
Answers
Answer:
Meena's is 5 and her father is 30
Step-by-step explanation:
x+5+6x+5=2x+6x+5
x+6x-2x-6x=5-5-5
-x =-5
x =5 Meena
6*5
=30 Her father's age
Have a good day and stay safe!
in Germany, VAT is at 19 % Jeremy buys a calculator for 58.31 German money this price contains VAT find the amount of VAT paid by jeremy
Answers
Answer:
9.31?
Step-by-step explanation:
Simplify
Please thanks
Answers
Answer: - 6xy/23xy
Step-by-step explanation:
They're both simplified by 11.
What is the solutions of x2 = –5x + 8?
Answers
Answer:
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
Step-by-step explanation:
Since moving it to one side can't be factored, I'm going to complete the square.
[tex]x^2+5x=8[/tex]
[tex]x^2+5x+6.25=8+6.25[/tex]
[tex](x+2.5)^2=14.25[/tex]
[tex]x+2.5=\sqrt{14.25}[/tex]
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
Please help urgently!
Answers
Answer:
[tex]a=-6\quad and \quad b=8[/tex]
Step-by-step explanation:
[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]
By comparing the last expression with [tex]a+b\sqrt{2}[/tex], we get:
[tex]a=-6\quad and \quad b=8[/tex]
Best Regards!
For b: b = ( 4√2 - 3 - a )√ 2 / 2
Factor x^3 + 2x² + x completely.
Answers
Answer:
x(x+2)^2
Step-by-step explanation:
x^-3 +2x^2 +x
Taking x as common
x(x^2+2x+1)
x[(x)^2+2(x)(1)+(1)^2]
x(x+2)^2
I hope it will help you
2x+y-5= Please help
Answers
Which situation is best modeled by the equation 11 + x=28
Answers
Answer:
1
Step-by-step explanation:
First off since it is equal to 28, it means the equation is trying to add numbers that equal to 28
Secondly, the 11 is not linked to a variable like 11y or 11b etc. It means the 11 stays put, no situation is changing that 11 number.
The x is what can be changed, hence referred to as variable. That is some amount that needs to be spent so in addition with 11, it totals to 28
Answer:
The first choice
Step-by-step explanation:
.
[140
m21%
10.70
050
060
Answers
Answer:
93%
Step-by-step explanation:
caculator
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. (A) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw
Answers
Answer:
See below
Step-by-step explanation:
When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.
The sample space is:
[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]
The sample space of the product xy of each outcome forms the required possibility diagram.
This is given as:
[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]
405 increased by 8.3
Answers
Answer:
413.03
Step-by-step explanation:
405 increased by 8.3 is 405+8.3.
[tex]405+8.3=\\405+8.0+0.3=\\413+0.3=\\413.03[/tex]
Answer:
413.3 if ADD, 437.5215 if add by percent
Step-by-step explanation:
If it's increaced by 8.3%, then it is 405 + 32.5215 = 437.5215
If it's add 8.3, then it's 413.3.
Factorize 7x3 - 21x2
Answers
Answer:
[tex]7x^{2}[/tex]([tex]x[/tex]-3)
Step-by-step explanation:
[tex]7x^{3}[/tex] - [tex]21x^{2}[/tex]
[tex]7x^{2}[/tex] goes into both terms.
Divide both terms by [tex]7x^{2}[/tex].
[tex]7x^{2}[/tex]([tex]x[/tex]-3)
A certain arithmetic sequence has this explicit formula for the nth term:
an = 11 + (n - 1)(4)
The same sequence has this recursive formula:
an = an-1 +__
What number belongs in the blank space in the recursive formula?
Answers
Answer:
4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
[tex]a_{n}[/tex] = 11 +(n - 1)4 , then
d = 4
The recursive formula allows a term in the sequence to be found by adding d to the previous term, thus
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 4
Answer:
The answer is 4
Step-by-step explanation:
The mapping diagram shows a functional relationship.
Domain
Range
Complete the statements
f(4) is
f(x) = 4 when x is
4
8
2
3
11
3
NI-
Intro
Done
Answers
Answer:f(4)=1/2
f(x)=4 when x is 8
The complete statements would be as:
⇒ function f(4) is 1/2 and function f(x) = 4 when domain x is 8.
What are the domain and range?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
We have been given that the mapping diagram shows a functional relationship.
To determine the value of f(4)
As per the given functional relationship,
If the value of the domain is 4 then the value of the respective range would be 1/2.
Therefore, the function f(4) would be 1/2.
To determine the value of x, when f(x) = 4
As per the given functional relationship,
If the value of the range is 4 then the value of the respective domain would be 8.
Therefore, x would be 8 if function f(x) = 4 .
Hence, the complete statements would be as:
f(4) is 1/2 and f(x) = 4 when x is 8.
Learn more about the domain and the range here:
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[tex]\sqrt{-16} -\sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4} +3i-3i^{2} +3i^3[/tex]
Answers
Answer:
4(i-1)Step-by-step explanation:
Given the expression [tex]\sqrt{-16} - \sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4}+3i-3i^{2} +3i^{3}[/tex]
On simplifying;
First we need to note that i² = -1 and √-1 = i
Substituting the values in the expression, it becomes;
= √16(√-1)-√(-3)(-3)-√(-4)(-4)+3i-3(-1)+3i(i²)
= 4i-√9-√16+3i+3-3i
= 4i-3-4+3
= 4i-4
= 4(i-1)
3) (2 + 3n3 – 4n?)– (8n2 + 7n3 + 2)
Answers
Answer:
-4n³ - 8n² - 4n
Step-by-step explanation:
What is the value of x?
Answers
Answer:
x = 155
Step-by-step explanation:
155 and x are alternate exterior angles and alternate exterior angles are equal when a and b are parallel
x = 155
Mitch is buying candy bars for his friends he wants to give 2 bars to each friend and he wants to have 10 spare bars he can afford to buy 24 candy bars
Answers
Answer:
e can treat 7 friends
Step-by-step explanation:
2f+10=24
2f=24-10=14
f=14/2=7
Edward has 30 sweets.
The ratio of red sweets to yellow sweets is 2:3
How many red sweets does Ed have? *
Answers
Answer:
20 red sweets
Step-by-step explanation:
do two thirds of 30 and the part that cane out is the red sweets
Answer:
12
Step-by-step explanation:
Sum the parts of the ratio, 2 + 3 = 5 parts
Divide the number of sweets by 5 to find the value of one part of the ratio
30 ÷ 5 = 6 sweets ← value of 1 part of the ratio, thus
2 × 6 = 12 ← number of red sweets