Explanation
Part A
For the given question, we are asked to find the angle between 0 and 2pi that is coterminal with 33pi/10
This will be obtained using the fact that
33/10 π = 594°
So that
The coterminal angle between 0 and 2π is,
\(1\frac{3}{10}π\)located in the third quadrant.
Part B
The coterminal angle that is coterminal with 780 degrees
Thus,
780° = 13/3 π ≈ 4.333 π
So that
The coterminal angle is between 0 and 360° is
\(60°\)is located in the first quadrant.
Calculate the area of a circle with a radius of 5 meters
• 10%
5) An experiment consists of spinning the spinner shown below 200 times and recording the
results in a frequency table. Based on theoretical probability, how many times would you
expect the color blue or green to be spun?
BLUE
GREEN
YELLOW
REd
Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.
How many times can the blue or green color be obtained?To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:
0.25 + 0.125 = 0.375
This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:
0.375 x 200 = 75
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I will give Brainliest :)
Answer:
Step-by-step explanation:
Please help ASAP!! Please
Answer: sorry i dont quite know
Step-by-step explanation: just listen to some music and you will be good
Which face has an area of 28 cm2?
Answer:
your answer is B my kind friend
Step-by-step explanation:
The list shows the number of viewers of an online music video each day for 5
onsecutive days.
5 35 245 1,715 12,005
By what factor did the number of viewers change each day from the fifth day
find the non permissible replacement for (x ^ 2 + 1)/(2x + 10)
Reason:
We cannot divide by zero. This means the denominator cannot equal zero. If it was zero, then,
2x+10 = 0
2x = -10
x = -10/2
x = -5
Follow that chain in reverse to see that x = -5 causes the denominator 2x+10 to be zero. This is why we kick -5 out of the domain. Any other x value is valid.
given f(x)= 24x^3+14x^2-11x-6 and (2x+1) is a factor, write f(x) as a set of linear factors
The linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given function is f(x)=24x³+14x²-11x-6 and one of the factor is (2x+1).
Here, 24x³+14x²-11x-6 can be written as 24x³+12x²+2x²+1x-12x-6
12x²(2x+1)+1x(2x+1)-6(2x+1)
= (2x+1)(12x²+1x-6)
= (2x+1)(12x²+1x-6)
= (2x+1)(12x²+9x-8x-6)
= (2x+1)[3x(4x+3)-2(4x+3)]
= (2x+1)(4x+3)(3x-2)
Therefore, the linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).
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if anybody can anwser this, please!
Answer:
33
Step-by-step explanation:
Just add the outside numbers that go around the shape
Answer:
Hi!
The answer is 33
Step-by-step explanation:
All you have to do is add up the numbers on the outside.
Hop this helps! Good Luck!!
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
D im not sure but i hope its right
Step-by-step explanation:
You're right its the answer is C
Find the slope intercept y-3.5=-2x
Answer:
y=−2x+3.5
Step-by-step explanation:
(don’t mind me doing this on my math homework)
Is the range a subset or a proper subset of the codomain?
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
What is a subset?A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
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Find the area of the figure. 5 ft The area is square feet.
Check the picture below.
so we really have a trapezoid and a rectangle, let's get their area and sum them up.
\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel ~sides}{bases}\\[-0.5em] \hrulefill\\ h=5\\ a=7\\ b=14 \end{cases}\implies A=\cfrac{5(7+14)}{2}\implies A=\cfrac{105}{2} \\\\\\ \stackrel{\textit{\large areas}}{\stackrel{trapezoid}{\cfrac{105}{2}}~~ +~~\stackrel{rectangle}{(12\cdot 14)}}\implies \cfrac{105}{2}+168\implies \cfrac{241}{2}\implies 120\frac{1}{2}\)
Triangles WILL GIVE BRAINLIEST
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
please show the full answer to this question
Answer:
1/1
Step-by-step explanation:
The president of the student council wants to survey the student population about parking. She decides to use a random number table to take a random sample of 100 of the 1,020 students at the school. Refer to the given line from a random number table. Which numbers represent the first 2 students selected?
24000 75983 62200 91518 10198 88936
A.) 2400, 0759
B.) 2400, 8362
C.) 0759, 1518
D.) 0759, 1019
Answer:
C 0759, 1518
Step-by-step explanation:
The numbers which represent the first 2 students selected is the option D.) 0759, 1019.
What is Random Number Table?Random number table are a table of numbers arranged in an unpredictable sequence. These tables are used to select a random sample in certain situations.
We have the line in the random table as,
24000 75983 62200 91518 10198 88936
There are 1020 students in total.
So we have to select four digit numbers of the sequence 0001, 0002, ..........., 1019, 1020.
Any number which is not included in this interval will not be selected.
From the reference line given, the four digit numbers are,
2400, 0759, 8362, 2009, 1518, 1019, 8889, ...
From this line, mark the numbers included in our interval from 0001 to 1020.
The numbers are 0759 and 1019. Other numbers are not included in our required interval.
Hence the first 2 students will represent as the numbers 0759 and 1019.
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Which of the following is the most likely the next step in the series?
Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.
An archaeologist found a fossil whose length is489.44 in.
Consult the conversion table to calculate the length of the fossil infeet.
Round your answer to the nearest tenth.
If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.
What is the conversion table?The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions
For instance, the conversion table shows that 12 inches equal 1 foot.
The length of the fossil = 489.44 inches
12 inches = 1 foot
489.44 inches = 40.8 feet (489.44 ÷ 12)
Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.
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Right the slope intercept form of the line that passes through (1,-2) and is parallel to the line y=4x+2
three schools have teams of 6 or more runners in a cross country. how many ways can the first 6 places be taken by the 3 schools
The ways to select the first 6 places be taken by the 3 schools is 20
How to determine the ways of selection?From the question, we have
Total number of teams, n = 6
Numbers to schools, r = 3
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 6 and r = 3
Substitute the known values in the above equation
Total = ⁶C₃
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 6!/(3! * 3!)
Evaluate
Total = 20
Hence, the number of ways is 20
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Add 3 + (-27) using the number line.
Select the location on the number line to plot the sum
-2
1
-1
0
1
2
1
1
2
2
12
Answer:
3/4+(-2 1/2)
Exact form -7/4
Decimal form -1.75
mixed number -1 3/4
Find the mean of the list of data.
49, 65, 41, 38, 87, 55, 95, 106
I can’t find the answer
Answer:
67.
Step-by-step explanation:
First we find the mean:
Mean is add up everything and divide by how much numbers there are.
The numbers are:
\(49, 65, 41, 38, 87, 55, 95, 106\).
So we add them up which is 536.
Then we divide by how much numbers there are.
There are 8 numbers so 536/8 which is 67.
Hope this helps :D
Is x a natural number
Answer:
no because natural numbers are positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well. not variables
Find the measure of arc BC given m<1 = 70°. Type a numerical answer in the space provided. Do not include any symbols, labels or
spaces in your answer.
Answer:
70°
Step-by-step explanation:
Because line segment OB and OC are both straight lines, then the measure of angle fromed by this two segments is the same in different locations.
Which of the following is the value of a when the function (x) - 3|xlis written in the standard form of an absolute value
function?
Answer:1
Step-by-step explanation:2
2
The value of a when the function f(x) = 3|xl is written in the standard form of an absolute value function is 3.
What is meant by an absolute function ?An absolute function is defined as a function which consists of an algebraic expression that is within absolute value symbols.
Here,
The standard form of the absolute value function is written by,
f(x) = a|x|
Given that,
f(x) = 3|x|
Comparing this with the standard form, we get,
a|x| = 3|x|
Therefore, a = 3
Hence,
The value of a when the function f(x) = 3|xl is written in the standard form of an absolute value function is 3.
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How many if there are 2 is the of the is?
How are they related?
Is there a number that can become them?
Find the value of are.
Answer: no their is not a number that comes before the value
Step-by-step explanation:
elected at
pants?
D. 음
is divided
oun once,
will land
5.
To order a burrito from Teresa's Burrito Shop, Jim
always chooses 1 item from each column in the
table below.
Burrito Choices
Topping
beans sour cream
guacamole
Wrap Filling
plain
wheat beef
chicken
What is the total number of ways that Jim can
order a burrito at Teresa's Burrito Shop by
choosing 1 wrap, 1 filling, and 1 topping?
A. 6 B. 7 C. 10 D. 12
Answer: d.12
Step-by-step explanation:
Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
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How do I do this? I am so confused...
1. 12
2. 28
3. 44
This is because when you multiply 4. It also increases the number when you multiply 7.
Answer:
Multiply the first numbers by three and then keep multiplying :)
Step-by-step explanation:
Frances practiced with her band for 2 hours on Friday, 4 hours on Saturday, and 2 hours on
Sunday. Her band practiced the same number of hours for the next two Fridays, Saturdays,
and Sundays. What is the total number of hours Frances and her band practiced?
Answer:
24 hours
Step-by-step explanation:
2+4+2 hours on Friday, Saturday, Sunday =8 hours per weekend
8 hours per weekend x 3 weekends = 24 total hours.