A circle of radius 16 units is divided into 8 congruent slices.
What is the arc length of each slice?
4π units
3π units
2π units
π units
Answers
Answer:
4π
Step-by-step explanation:
Circumference = π X D (D = diameter = 2 X radius).
Diameter = 32.
Circumference = π (32) = 32π.
Divided into 8 slices = 1/8 of the circumference = 32π/8 = 4π.
Related Questions
Which factor of 24 can help you solve 24 divided by 4?
Answers
Answer:
im an expert
Step-by-step explanation:
A local computer company had a big sale the day after Thanksgiving and sold 192 computers for $452 each. Which is a good estimate for the amount of money they made on those computers that day?
A) $900
B) $9,000
C) $90,000
D) $900,000
Answers
Answer:
90,000
Step-by-step explanation:
As an estimate
200 * 450
which is 90,000
Sets Sets M and Fare defined as follows: M = {a,b,c,d} F = {c, d, e, f} Find the intersection of M and F.
Answers
The intersection of sets M and F contains the elements "c" and "d".
To find the intersection of sets M and F, we need to identify the elements that are common to both sets.
M = {a, b, c, d}
F = {c, d, e, f}
The intersection of M
and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.
Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".
Therefore, the intersection of M and F can be expressed as:
M ∩ F = {c, d}
So, the intersection of sets M and F contains the elements "c" and "d".
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Karen has a red ribbon that is 18 feet long and a blue ribbon that is 12 feet long.
She wants to cut both ribbons into pieces that are all the same length, and she wants to have no ribbon left over when she is done.
What is the greatest length, in feet, of each piece of ribbon that she can cut?
Answers
Answer: 6
Step-by-step explanation: 6 goes into 12 twice with none left over, and 6 goes into 18 3 times with none left over.
A large water tank has two inlet pipes (a large and a small one) and one outlet pipe. It takes
2
hours to fill the tank with the large inlet pipe. On the other hand, it takes
5
hours to fill the tank with the small inlet pipe. The outlet pipe allows the full tank to be emptied in
7
hours. Assuming that the tank is initially empty, what fraction will be filled in
1
hour if all three pipes are in operation? Your answer should be a fraction in simplest form, without spaces, e.g. 1/2.
Answers
Answer:2x+2
Step-by-step explanation:
The Question is in the Picture, use the Pythagorean theorem to solve and show your work please
Answers
Answer:
y=8
Step-by-step explanation:
What is the coefficient of 5a^2-7
Answers
Answer: 5
Step-by-step explanation:
A coefficient is a number used to multiply a variable. in "5a" 5 is the coefficient.
Write the ratio in fractional notation in lowest terms. 28 inches to 42 inches
Answers
28 to 42 means 28/42
We now reduce 28/42 to lowest terms.
28 ÷ 7 = 4
42 ÷ 7 = 6
We now have 4/6.
We now reduce 4/6.
4 ÷ 2 = 2
6 ÷ 2 = 3
Final answer: 2/3
If u(x) = −2x² +3 and v(x)=1/x, what is the range of (uv)(x)?
Answers
Given:
\(\begin{gathered} u(x)=-2x^2+3 \\ v(x)=\frac{1}{x} \end{gathered}\)Required:
To find the range of the function (uv)(x).
Explanation:
We know that
\(\begin{gathered} (uv)(x)=u(v(x)) \\ \\ =u(\frac{1}{x}) \\ \\ =-2(\frac{1}{x^2})+3 \\ \\ =-\frac{2}{x^2}+3 \end{gathered}\)The horizontal asymptote of this function is at y=3.
So, the range of this function is from
\((-\infty,3)\)Final Answer:
The range of (uv)(x) is
\((-\infty,3)\)g(r) = -20 +11r
8(11) = ?
Answers
Answer:
g(11) = 101
Step-by-step explanation:
g(r) = -20 + 11r
So in g(11), we just need to replace 'r' with '11'
g(11) = -20 + 11 (11)
--> g(11) = -20 + 121 = 101
--> g(11) = 101
Please comment down below if 8(11) wasn't a typo. I thought it was, so I replaced 8 with g. If that was intentional, I'll edit my answer as soon as possible.
the bar graph below represents the number of each type of animal found in northern Pennsylvania forest by a researcher. If the researcher moved to a larger central Pennsylvania forest with about 1,000 total animals , how many beats should the researcher expect to see?
Answers
The number of bears that the researcher should be expected to see in the larger central Pennsylvania forest with about 1,000 total animals is given as follows:
95 bears.
How to obtain the number of bears?To obtain the number of bears in the larger forest, first we must obtain the proportion in the smaller forest.
The proportion is given by the number of bears divided by the total number of animals, both of these amounts given by the bar graph presented at the end of the answer.
The number of bears is given as follows:
20.
The total number of animals is given as follows:
20 + 70 + 30 + 90 = 210.
Meaning that the proportion of bears is of:
20/210.
Hence, out of 1000 animals, the expected number of bears is of>
20/210 x 1000 = 20000/210 = 95 bears.
Missing InformationThe bar graph is given by the image presented at the end of the answer.
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Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
Answers
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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Olivia is cutting a
1
1
2
m
1
2
1
m1, start fraction, 1, divided by, 2, end fraction, start text, space, m, end text by
3
4
m
4
3
mstart fraction, 3, divided by, 4, end fraction, start text, space, m, end text piece of rectangular paper into two pieces along its diagonal.
Answers
The area of each of the pieces will be 9/16 m²
Given that =
Dimension of the rectangular paper:
length = 3/2 m
breadth = 3/4 m
Olivia cuts the paper into two pieces along its diagonal.
We need to find the area of the pieces,
Olivia will cut the rectangular paper along its diagonal into two pieces.
After cutting she will get two triangular pieces, which will be congruent to each other by SAS congruency.
∴ Area of each of the triangular pieces will be given by,
= ½ × Area of the rectangular paper
= ½ × [length × breadth]
= ½ × 3/2 × 3/4
= ½ × 9/8
= 9/16
Hence, the area of each of the pieces will be 9/16 m²
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solve for x
\(\bold{4x - 64 = 0}\)
ty! ~
Answers
Answer:
\(\tt x = 16\)
Step-by-step explanation:
\(\tt 4x-64=0\)
Add 64 to both sides.
\(\tt 4x - 64 + 64 = 0+ 64\)
Simplify.
\(\tt 4x = 64\)
Divide both sides by 4.
\( \tt \cfrac{4x}{4} = \cfrac{64}{4} \)
Simplify.
\(\tt x = 16\)
Done!!!
\(\Large\maltese\star\underline{\textbf{What is Asked}}\star\maltese\)
Solve for x. \(\bf{4x-64=0}\).\(\Large\maltese\star\underline{\textbf{The required answer is below -:}}\star\maltese\)
First we need to add 64 to both sides. That way, we will be one step closer to solving this in terms of x.
\(\bf{4x-64+64=0+64}\) | on the left side the 64's sum to zero
\(\bf{4x=0+64}\) | the right side is now 64
\(\bf{4x=64}\) | divide the equation by 4
\(\bf{x=16}\)
\(\cline{1-2}\)
\(\gray\star\bf{Result / Required\;Answer:}\)
\(\star\blacksquare\Large\boxed{\boxed{\bf{X=16.}}}\blacksquare\star\)
Key to solving this problem -:When you're solving an equation in terms of x, or any other variable, use inverse operations to solve it. For instance, if something is added to x, use subtraction. If something is subtracted to x, use addition.
If x is multiplied by something, use division. If x is divided by something, use multiplication.
\(\infty\LARGE\boxed{\bf{\brace aesthetic\not1\theta\ell}}\infty\)
If the mFT 3x - 2 and the mFE = 5x + 1, Find x and mTE. (GT is median)
Please get back to me soon, I'll give Brainliest!
Answers
Answer:
x = 5
TE = 13
Step-by-step explanation:
Since GT is the median, then 2*(FT) = FE.
FE = 5x + 1
FT = 3x - 2
Therefore:
2*(3x - 2) = 5x + 1 (substitution)
6x - 4 = 5x + 1
Collect like terms
6x - 5x = 4 + 1
x = 5
TE = ½*(FE)
TE = ½*(5x + 1)
Plug in the value of x
TE = ½*(5(5) + 1)
TE = ½(25 + 1) = ½(26)
TE = 13
Geometry please help me!!!!
Answers
Answer:
Step-by-step explanation:
To the nearest degree, what is the measure of the central angle for bathing?
Answers
The central angle of Bathing = 108 degrees.
In the given pie chart,
Since we know,
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.
The whole circle is 360 degrees
which represents 100%.
It is given that,
Bathing = 30%
So have need to find 30% of 360 degrees.
Therefore,
Bathing = (30/100)x360
= (30/10) x 36
= 3x36
= 108
Hence,
The central angle = 108 degrees.
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The complete question is:
To the nearest degree, what is the measure of the central angle for bathing?
Can someone please give me the answer?
Answers
Answer:
the correct answer is C
-----------------------------------
Answer:
The III
Step-by-step explanation:
go right three times and down four times
A fair coin is flipped 30 times. Let X denote the number of heads among the first 20 coin flips and Y denote the number of heads among the last 20 coin flips: Compute the correlation coefficient of X and Y.
Answers
the correlation coefficient of X and Y is Cov ( X, Y ) = 1/2
X = Number of heads in the first 20 flips
Y = Number of heads in the last 20 flips
Given that X and Y are binomial variables hence
P( probability ) = 1/2
Find Cov( X; Y )
xi = result of the ith flip ∴ X = x1 + x2 + x3 + x4+....x20
yj = result of the jth flip ∴ Y = y3 + y4 + y5 + y6+ ....x20
covariance of xi and yi = 1/2 * 1/2 = 1/4 when i = j and it is = 0 when i ≠ j
hence Cov( X; Y ) can be expressed as
Cov( X; Y ) = ∑^4 ∑^6 ∴ Cov( Xi , Yj ) = 2/4 = 1/2 ( given that i = j )
Hence he correlation coefficient of X and Y is Cov ( X, Y ) = 1/2
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PLS HURRY FOR 80 POINTS Triangle XYZ is drawn with vertices X(4, −5), Y(6, −1), Z(10, −8). Determine the line of reflection if X′(4, 5).
y-axis
x-axis
y = 1
x = −4
Answers
Answer: a
Step-by-step explanation:
A half-century ago, the mean height of women in a particular country in their 20s was inches. Assume that the heights of today's women in their 20s are approximately normally distributed with a standard deviation of inches. If the mean height today is the same as that of a half-century ago, what percentage of all samples of of today's women in their 20s have mean heights of at least inches?
Answers
Answer:
0.26684
Step-by-step explanation:
Given that :
Mean, μ = 62.5
Standard deviation, σ = 1.96
P(Z ≥ 63.72)
The Zscore = (x - μ) / σ
P(Z ≥ (x - μ) / σ)
P(Z ≥ (63.72 - 62.5) / 1. 96) = P(Z ≥ 0.6224)
P(Z ≥ 0.6224) = 1 - P(Z < 0.6224)
1 - P(Z < 0.6224) = 1 - 0.73316 = 0.26684
Which of the following are rational numbers? (select all that apply)
-0.56
0.12122122212222....
5 /11
0
1.23
Answers
plss help me for brainleist
Answers
Answer:
10°
Step-by-step explanation:
angles on a straight line add up to 180°.
so 170 + x = 180
x = 180 - 170 = 10°
Find the area of a square with perimeter 12 m.
Answers
Answer:
9 m²
Step-by-step explanation:
The perimeter of a square is 4x, where is the length of one side (because all the sides have the same length).
This means that 4x = 12, so x = 3, in other words the length of one side of the square is 3 m.
To work out the area of the square, multiply the length and the width together: 3 x 3 = 9 m²
Hope this helps!
A square on a coordinate plane has one vertex at (0.5,1) and a perimeter of 6 units. If all of the vertices are located in Quadrant I, what are the coordinates of the other 3 vertice s?
Answers
The coordinates of the other 3 vertice s are; Vertex 2 = (0.5, 2.5)
Vertex 3 = (2, 1), Vertex 4 =(2, 2.5 )
What is perimeter?Its the sum of length of the sides used to made the given figure.
Given that the Perimeter, P = 6 units
The Perimeter of a square = 4s ; s = side length
6 = 4s
s = 6/4
s = 1.5 units
If Vertex 1 =(0.5,1) and all vertexes are located in Quadrant I
Vertex 2 = (0.5,1 + 1.5) =(0.5, 2.5)
Vertex 3 = (0.5 + 1.5 ,1) = (2, 1)
Vertex 4 = (2, 1 + 1.5) = (2, 2.5 )
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How do you write 7.04 as a mixed number in simpliest form?
- Thanks to anyone who helps me! :)
Answers
Answer:
7 1/25
Step-by-step explanation:
7.0400=176/25=7
176 - (25 x 7) = 1
Hope this helps
Can someone help me find \(\frac{8}{7} = m + \frac{2}{8}\)
Answers
Answer:
m=25/28
Step-by-step explanation:
20 POINTS!!!!!!!!!!!!!!
What's a better show, Trailer Park Boys or Adventure Time?
Answers
Answer:
adventure time 100%
Step-by-step explanation:
Both are the best shown in their place.
Trailer Park Boys:A mockumentary sitcom television series from Canada called Trailer Park Boys was created by Mike Clattenburg. The television series, which is a continuation of Clattenburg's 1999 movie of the same name, chronicles the misadventures of a group of trailer park residents, some of whom are ex-convicts, who reside in the fictitious Sunnyvale Trailer Park in Dartmouth, Nova Scotia. After making its Showcase debut on April 22, 2001, the program initially aired for seven seasons before coming to an end with an hour-long special on December 7, 2008. Three additional movies based on the TV show have been produced: The Movie (October 6, 2006); Countdown to Liquor Day (September 25, 2009); and Don't Legalize It (April 18, 2014).Adventure Time:Pendleton Ward produced the American fantasy animated television series Adventure Time[c] for Cartoon Network. The show centers on the exploits of Finn (Jeremy Shada), a young kid, and Jake (John DiMaggio), a dog with the magical ability to change size and shape at will. They engage with Princess Bubblegum (Hynden Walch), the Ice King (Tom Kenny), Marceline (Olivia Olson), BMO (Niki Yang), and other characters while living in the post-apocalyptic Land of Ooo.
Therefore, there is no comparison between the shows, both are the best shows in their place.
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What is the equation of the line that passes through the point (−3,1) and has a slope of
-3
Answers
Answer:
Step-by-step explanation:
The total population of Aiken County is 173,000 and there are approximately 23,000 students enrolled in Aiken County schools. What percentage of Aiken County residents are enrolled in Aiken County schools? Round your answer to the nearest tenth.
Answers
Answer:
Percentage = 13%
Step-by-step explanation:
Given the following data;
Total population = 173,000
Number of students = 23,000
To find the percentage;
\( Percentage = \frac {Number \; of \; students}{Total \; population} * 100 \)
\( Percentage = \frac {23,000}{173,000} * 100 \)
\( Percentage = \frac {23}{173} * 100 \)
\( Percentage = 0.1330 * 100 \)
Percentage = 13.3 ≈ 13%
Therefore, the percentage of Aiken County residents that are enrolled in Aiken County schools is 13%.