Answers
The approximated area of the shaded region is 92.54 square units
Approximating the area of the shaded region.From the question, we have the following parameters that can be used in our computation:
Two isosceles right trianglesCircleThe area of the shaded region in the figure is calculated as
Shaded region = Circle - Isosceles right triangle 1 - Isosceles right triangles 2
Using the given dimensions, we have
Shaded region = 3.14 * 6^2 - 1/2 * 5^2 - 1/2 * 4^2
Evaluate
Shaded region = 92.54
Hence, the shaded region is 92.54 square units
Read more about area at
https://brainly.com/question/24487155
#SPJ1
Related Questions
1. The population of a city increases by 4%, Find the increase in the population after 3 years if the original population is 22,000
Answers
Answer: 2640
Steps:
There are different ways you can solve this
METHOD 1
1. Find what 4% of 22,000 is
0.04 × 22,000 = 880
You do this so that you can find out the increase from the original number of people in the city
2. Find out what 3 years of increase is
880 = 1 year's worth of increase
880 × 3 = 3 year's worth of increase
2640 = 3 year's worth of increase
Therefore the population increase is 2640 ( 12% )
METHOD 2
1. Find out what 12% of 22,000 is
4% = 0.04
12% = 3 × 0.04
12% = 0.12
12% of 22,000 = 0.12 × 22000
12% of 22,000 = 2640
Therefore the population increase is 2640 ( 12% )
A sports stadium has a capacity of 42,000. On a
particular night, 35,000 spectators attend an event. At
the end of the event, spectators leave the stadium at a rate
of 320 spectators every minute. If m represents the
number of minutes after spectators begin to leave the
stadium, which of the following inequalities describes
the times when there are still spectators in the stadium?
A) 42,000 - 35,000m < 320
B) 35,000 - 320m > 0
C) 35,000 + 320m < 42,000
D) 320m < 87,000
Answers
Answer:
Use Guathmath app. you will get answer with explaination and full formula.
download Guathmath if you have interest to do this activity.
If h(x) = 7ex and g(x) = -4, find (hg)(x).
Answers
The given expression is
\((hg)(x)=h(x)g(x)=(7e^x)(-4)=-28e^x\)The correct answer is -28e^x
Create pattern with the rule n x 2
Answers
Step-by-step explanation:
n×2=?
The n means 1 then. 1×2 series
1 × 2 = 2
Find the measure of the indicated angle.
99⁰
96⁰
98⁰
92°
L
120°
K
N
M
64
Answers
Answer:
? = 92°
Step-by-step explanation:
the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°
Find AC, round to the nearest whole number
Answers
20
Triangles are 180 total so just add 118 and 22 then subtract it from 180 for your answer
The results of a political poll indicate that the leading candidate will receive 52% of the votes with a margin of error of no more than 5%. Let x represent the true percentage of votes received by this candidate. Write an absolute value inequality that represents an interval in which to estimate x.
Select one:
a. |x - 52| ≥ 0.05
b. |x - 52| ≤ 0.05
c. |x - 0.05| ≥ 52
d. |x - 0.05| ≤ 52
Answers
The absolute value inequality that models the function is given by:
b. |x - 0.52| ≤ 0.05Absolute value:The absolute value function measures the distance of a point to the origin, and is defined by:\(|x| = x, x \geq 0\)
\(|x| = -x, x < 0\)
In this problem, the leading candidate will receive 52% of the votes with a margin of error of no more than 5%. Hence, the difference between his percentage of votes x and 0.52 should be at most plus/minus 0.05, that is:
\(|x - 0.52| \leq 0.05\)
Hence, option b is correct.
You can learn more about absolute value inequality at https://brainly.com/question/24005819
If the chances of having purple flowers is 3/4 and the chances of having tall stems is 3/4, what are the chances of an offspring being tall and having purple flowers?OOOO3/43/4+3/49/163/16
Answers
Step 1:
Given data
\(\begin{gathered} \text{Chances of having purple flowers = }\frac{3}{4} \\ \text{Chances of having tall stems is }\frac{3}{4} \end{gathered}\)Step 2
Note: 'and' in probability represent multiplication.
Next: Find the chances of an offspring being tall and having purple flowers
\(\begin{gathered} =\text{ }\frac{3}{4}\text{ }\times\text{ }\frac{3}{4} \\ \text{= }\frac{9}{16} \end{gathered}\)Final answer
9/16
PLEASE HELP WILL MARK YOU!!!
Answers
Answers:
a = 69b = 47c = 116d = 93e = 86==========================================================
Explanation:
For now, focus on the triangle with angles 'a', 71 and 40 degrees.
Recall that for any triangle, the inside angles always add to 180
a+71+40 = 180
a+111 = 180
a = 180-111
a = 69
---------------
Notice how angles b and 133 are adjacent and form a straight angle. This makes them supplementary. Meaning they add to 180
b+133 = 180
b = 180-133
b = 47
---------------
Let angle f be adjacent to angle c, and part of the triangle with angles 'a' and b.
Use the rule mentioned in the first section
a+b+f = 180
69+47+f = 180
116+f = 180
f = 180-116
f = 64
Now we can find angle c, because angles f and c are supplementary
c+f = 180
c+64 = 180
c = 180-64
c = 116
We could also use the remote interior angle theorem to say that a+b = c, so c = a+b = 69+47 = 116
---------------
Next, focus your attention on the 140 degree angle. The missing adjacent angle to this is 180-140 = 40 degrees
Now focus on the triangle that has angles d, 40, and 47. The "40" being what we just calculated in the previous paragraph.
We'll do the same thing as before
d+40+47 = 180
d+87 = 180
d = 180-87
d = 93
---------------
The angle just above angle d is also the same (vertical angles). This upper triangle has angles 40, d and g, where g is unknown. Let's find it.
40+d+g = 180
40+93+g = 180
133+g = 180
g = 180-133
g = 47
The vertical angle across from this is also 47 degrees.
Similarly, we can move that angle b over to its vertical pairing counterpart.
The smallest triangle at the very top has angles e, b, and g
e+b+g = 180
e+47+47 = 180
e+94 = 180
e = 180-94
e = 86
write an expression that shows 9 less than the product of 11 and 3.5
Answers
try this for answer (11×3.5)-9=x
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
Answers
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
Learn more about inequality expression here: https://brainly.com/question/25275758
#SPJ1
A bus company operates services to and from the East, North,South and West regions of the country. A recent report from the Operations Manager contains the following summary of their operations. "The total number of passenger journeys made on our services was 430,000. Of these, 124,000 were to and from the North, 61,000 to and from the South, and 80,000 to and from the East. Passengers used bus passes to pay for 158,000 of the total number of journeys: 43,000 on northern services, 51,000 on western services, and 35,000 on eastern services. Passengers who did not use a bus pass paid for their journeys in cash", Construct a two-way tabulation with rows for the country regions and columns for the method of payment. Work out the figures that are not quoted in the summary by using the information provided.
Answers
To find the number going to and from West is 165,000.
The number of bus passes from Southern services is 29,000.
The two-way tabulationEast------------------- 80,000
North------------------- 124,000
South------------------- 61,000
West-------------------- 165,000
Total--------------------------- 430,000
To find the number going to and from West:
80,000 + 124,000 + 61,000 + x = 430,000
265,000 + x = 430,000
x = 430,000 - 265,000
x= 165,000.
Table for the method of paymentBus PassesNorthern services-------------------- 43,000
Western services-------------------- 51,000
Eastern services---------------------- 35, 000
Southern services---------------------- 29,000
Total----------------------------------------------158,000
Let x be the unknown variable,
43,000 + 51,000 + 35,000 + x = 158,000
129,000 + x = 158,000
x= 158,000 - 129, 000
x= 29,0000
Read more about a frequency table here:
https://brainly.com/question/16148316
#SPJ1
Jake ran a full marathons of 26 miles. His average speed was 6 miles per hour. About how long did it take him to cross the finish line?
Answers
Answer:
Step-by-step explanation:
273m
A random sample of 25 years between 1890 and 2011 was obtained, and the amount of snowfall, in inches, for Memphis was recorded. Open MemphisSnowfall.xls.
a. Create the normal probability plot using Excel or StatCrunch and paste it in your word document.
b. Create a histogram using Excel or StatCrunch and paste it in your word document.
c. Create a boxplot using Excel or StatCrunch and paste it in your word document.
d. State whether the data is "normal" or "not normal".
Answers
Based on the normal probability plot, histogram, and boxplot that we created, we can conclude that the data is "normal" or "not normal".
To answer this question, we need to use the data from the MemphisSnowfall.xls file and create a normal probability plot, a histogram, and a boxplot using Excel or StatCrunch. Then, we need to determine if the data is "normal" or "not normal".
a. To create the normal probability plot using Excel, follow these steps:
b. To create a histogram using Excel, follow these steps:
Select the data in the MemphisSnowfall.xls file.
Go to the Insert tab and click on Column in the Charts group.
Select the first option under 2-D Column.
Go to the Layout tab and click on Axis Titles in the Labels group.
Enter "Snowfall (inches)" for the horizontal axis title and "Frequency" for the vertical axis title.
Click on Close to create the histogram.
c. To create a boxplot using Excel, follow these steps:
Select the data in the MemphisSnowfall.xls file.
Go to the Insert tab and click on Box and Whisker in the Charts group.
Select the first option under Box and Whisker.
Go to the Layout tab and click on Axis Titles in the Labels group.
Enter "Snowfall (inches)" for the horizontal axis title and "Frequency" for the vertical axis title.
Click on Close to create the boxplot.
d. To determine if the data is "normal" or "not normal", we need to look at the normal probability plot, the histogram, and the boxplot. If the normal probability plot is a straight line, the histogram is bell-shaped, and the boxplot is symmetric, then the data is "normal". If the normal probability plot is not a straight line, the histogram is not bell-shaped, and the boxplot is not symmetric, then the data is "not normal".
Based on the normal probability plot, histogram, and boxplot that we created, we can conclude that the data is "normal" or "not normal".
Learn more about Histogram
brainly.com/question/30354484
#SPJ11
Find the sum of the following infinite geometric series
Answers
Answer:
\(\large \boxed{\ \ \dfrac{63}{5} \ \ }\)
Step-by-step explanation:
Hello,
"Find the sum of the following infinite geometric series"
infinite
We will have to find the limit of something when n tends to \(+\infty\)
geometric series
This is a good clue, meaning that each term of the series follows a geometric sequence. Let's check that.
The sum is something like
\(\displaystyle \sum_{k=0}^{+\infty} a_k\)
First of all, we need to find an expression for \(a_k\)
First term is
\(a_0=7\)
Second term is
\(a_1=\dfrac{4}{9}\cdot a_0=7*\boxed{\dfrac{4}{9}}=\dfrac{7*4}{9}=\dfrac{28}{9}\)
Then
\(a_2=\dfrac{4}{9}\cdot a_1=\dfrac{28}{9}*\boxed{\dfrac{4}{9}}=\dfrac{28*4}{9*9}=\dfrac{112}{81}\)
and...
\(a_3=\dfrac{4}{9}\cdot a_2=\dfrac{112}{81}*\boxed{\dfrac{4}{9}}=\dfrac{112*4}{9*81}=\dfrac{448}{729}\)
Ok we are good, we can express any term for k integer
\(a_k=a_0\cdot (\dfrac{4}{9})^k\)
So, for n positive integer
\(\displaystyle \sum_{k=0}^{n} a_k=\displaystyle \sum_{k=0}^{n} 7\cdot (\dfrac{4}{9})^k=7\cdot \dfrac{1-(\dfrac{4}{9})^{n+1}}{1-\dfrac{4}{9}}=\dfrac{7*9*[1-(\dfrac{4}{9})^{n+1}]}{9-4}=\dfrac{63}{5}\cdot [1-(\dfrac{4}{9})^{n+1}}]\)
And the limit of that expression when n tends to \(+\infty\) is
\(\large \boxed{\ \ \dfrac{63}{5} \ \ }\)
as
\(\dfrac{4}{9}<1\)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Each of the equal sides of an isosceles triangle is 5 times the third side. The perimeter of the triangle is 121 inches. Find the sides of the triangle.
Answers
Answer: The small side is 11, and the other two are 55, 55,
Step-by-step explanation:
So the perimeter adds up to 121 inches.
we know that two of the sides are 5x the 3rd side while being congruent.
11 times 5=55. 55 times 2=110. 110+11=121
Answer:
The third side is 11 inches
the 2 equal sides are 55 inches each side.
Step-by-step explanation:
X + 2(5x) = 121
x + 10x = 121
11x = 121
x = 121/11
x = 11
I6
Researchers measured the data speeds for particular smartphone carrier at 50 airports. The highest speed measured was
75.5 Mbps. The complete list of 50 data speeds has a mean of ) 15.59 Mbps and a standard deviation of s = 23.85 Mbps.
What is the difference between carrier's highest data speed and the
mean of all 50 data speeds?
b. How many standard deviations is that [the difference found in part (a)]?
. Convert the carrier's highest data speed to a z score.
d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high,
is the carrier's highest data speed significant?
Answers
Answer:
66 es pero que te ayude ■■♤♤
Please Help ASAP PLEASE !!!!!!!
Which mathematical property is demonstrated?
If y=−7 and −7=z, then y = z.
A. symmetric property of equality
B. closure property of multiplication
C. closure property of addition
D. transitive property of equality
Answers
Answer:
transitive property of equality
Step-by-step explanation:
I know cus i took the test also sorry it took so long dude
4:20::8:x
What is x equal to?
Answers
May be May be
Hope it is correct
PLSS ANSWER TIHS
153 X 15 =
Answers
The director of a basketball camp estimates that the number N of students who will enroll in a basketball camp can be modeled by
N = −0.3t + 250,
where t is the tuition for the camp in dollars.
(a)
What is the N-intercept?
(t, N) =
(b)
Write a sentence that explains the answer to part (a) in the context of the problem.
If the tuition was $
, then
students would enroll in the basketball camp.
(c)
What is the t-intercept? (Round your answers to two decimal places when necessary.)
(t, N) =
(d)
Write a sentence that explains the answer to part (c) in the context of the problem. (Round your answers to two decimal places when necessary.)
If the tuition was approximately $
, then
students would enroll in the basketball camp.
Answers
Answer:
Step-by-step explanation:
(a) To find the N-intercept, we set t to 0 in the equation N = -0.3t + 250:
N = -0.3(0) + 250
N = 250
Therefore, the N-intercept is (0, 250).
(b) The N-intercept is the point on the graph where the tuition is $0 and represents the number of students who would enroll in the basketball camp if it were free. In this case, if the tuition was $0, 250 students would enroll in the basketball camp.
(c) To find the t-intercept, we set N to 0 in the equation N = -0.3t + 250 and solve for t:
0 = -0.3t + 250
0.3t = 250
t = 250/0.3
t ≈ 833.33
Therefore, the t-intercept is approximately (833.33, 0).
(d) The t-intercept is the point on the graph where the number of students who enroll in the basketball camp is zero and represents the tuition that would need to be charged for no students to enroll. In this case, if the tuition was approximately $833.33, no students would enroll in the basketball camp.
Point M is the midpoint of AB. If the coordinates of A are ( -3 , 6 ) and the coordinates of M are ( -5 , 2 ), what are the coordinates of B? (reference sheet on the left side)
Answers
The coordinates of B are (-7,-2).
What do you mean by x and y coordinates?
The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.
According to the given data in the question,
if M is the location where line segment AB meets its midpoint.
Then, we will using the midpoint formula,
\((-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)\)
Putting the x-coordinates in (1),
\(-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7\)
Similarly, putting the y-coordinates in (1),
\(2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2\)
Hence, the coordinates of B are (-7,-2).
To learn more about x and y coordinates visit to the given link:
https://brainly.com/question/27749090?referrer=searchResults
#SPJ13
Jordan bought 7 chicken wings for $14.00. If Jordan spent $36.00, how many chicken wings did he buy?
Answers
Answer:
18
Step-by-step explanation:
7/14 = x/36
7*36=14*x
252=14x
x=252/14
x=18
Hope this helped !
Which of these is a complex number
Answers
Hope that helps
F. Why would a linear function describing an investment made at a bank have a minimum
value but no maximum value? Explain your reasoning.
Answers
Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.
Step-by-step explanation:
Rotation - Question 5
Answers
When the former image is rotated, the dots will be located at section 2 and 7.
What is the effects of image rotation?When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.
From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.
Learn more about rotation here:
https://brainly.com/question/30337265
#SPJ1
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300 and $350.
[ ? ]%
Answers
The probability that a worker selected at random makes between $300 and $350 is 0.1359 Or 13.6%.
What is a normal distribution?A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
Given, Weekly wages at a certain factory are normally distributed.
Mean(\(\overline{x}\)) = 400, S.D(\(\sigma\)) = 50.
Now, Since the wages are normally distributed we know,
\(z = \frac{x - \overline{x}}{\sigma}\).
Therefore,
z = (300 - 400)/50.
z = - 2.
And
z = (350 - 400)/2.
z = - 1.
Now, from the z-table,
P(z ≤ - 2) = 0.0228 and P(z ≤ - 1) = 0.1587.
Combining the two we have P( - 2 ≤ z ≤ - 1) = 0.1587 - 0.0228.
P( - 2 ≤ z ≤ - 1) = 0.1359.
As a result, the likelihood that a randomly chosen employee will earn between $300 and $350 is 0.1359, or 13.6%.
learn more about normal distributions here :
https://brainly.com/question/29509087
#SPJ1
Obtain a 98% confidence interval estimating the difference (actual minus sham) in mean shoulder condition score one year after such interventions in the population of patients with persistent shoulder pain. When expressed in the format (lower bound, upper bound), give the numerical values rounded to 1 decimal place (for ex. 1.1, no text).
Enter the margin of error for this confidence interval as a numerical value rounded to one decimal places (for ex. 1.1, no letters or text):
Answers
The 98% confidence interval estimating the difference in mean shoulder condition score one year after such interventions in the population of patients with persistent shoulder pain is given by:
(-2.5, 5.1).
What are the mean and the standard error for the distribution of differences?For each sample, the mean and the standard error are given as follows:
Actual: \(\mu_A = 39.4, s_A = 1.1\)Sham: \(\mu_B = 38.1, s_B = 1.2\)Hence the mean and the standard error of the distribution of differences is given as follows:
Mean: \(\overline{x} = \mu_A - \mu_B = 39.4 - 38.1 = 1.3\)Standard Error: \(s = \sqrt{s_A^2 + s_B^2} = \sqrt{1.1^2 + 1.2^2} = 1.6\)What is the confidence interval?The bounds of the confidence interval are given by the rule presented as follows:
\(\overline{x} \pm ts\)
The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 72 + 65 - 2 = 135 df, is t = 2.35.
Then the bounds of the interval are:
Lower bound: 1.3 - 2.35 x 1.6 = -2.5.Upper bound: 1.3 + 2.35 x 1.6 = 5.1.Missing InformationThe missing information is given by the image shown at the end of the answer.
More can be learned about the t-distribution at https://brainly.com/question/17073112
#SPJ1
Which graph shows y=1/2⌈x⌉?
Answers
None of the graphs represents absolute value |x| graphs however the second graph at the top is a graph of y = x/2
What is an absolute value graph?Each absolute value graph will result in a "V" shape.
It is divided into two parts: a negative slope and a positive slope.
The vertex is the location where they meet. It is possible to fold an absolute value graph in half along its line of symmetry.
The function y = |x| is an absolute value function's parent function or most fundamental function.
The graph shows only one slope
The graph of y = 1/2 |x| is attached
However if the equation is y=1/2 * [x] = x/2 then the second option at the top represents the graph with a slope of 1/2.
Learn more absolute values here:
https://brainly.com/question/29532815
#SPJ1
It would mean the world for some help.
Answers
Answer:
m<ZXY - m<WXZ = m<WXY
Step-by-step explanation:
given:
point Z is in the interior of <WXY creating XZ.
if m<WXZ = 20
m<WXY = 100
find:
what would equation would you set up to find the missing angle measure?
solution:
Since Z is interior of <WXY
m<ZXY - m<WXZ = m<WXY
<WXY = 100 - 20 = 80°
therefore, the equation would be m<ZXY - m<WXZ = m<WXY