Answers
Answer: 6.7
Step-by-step explanation:
use trig to find x
cos ∅ = adjacent/hypotenuse
cos32 =8/x
x=8/cos32
=6.7
Related Questions
Write tan 41π/36 in terms of the tangent of a positive acute angle.
Answers
tan(41π/36) can be written in terms of the tangent of a positive acute angle as (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))
To express tan(41π/36) in terms of the tangent of a positive acute angle, we need to find an angle within the range of 0 to π/2 that has the same tangent value.
First, let's simplify 41π/36 to its equivalent angle within one full revolution (2π):
41π/36 = 40π/36 + π/36 = (10/9)π + (1/36)π
Now, we can rewrite the angle as:
tan(41π/36) = tan((10/9)π + (1/36)π)
Next, we'll use the tangent addition formula, which states that:
tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))
In this case, A = (10/9)π and B = (1/36)π.
tan(41π/36) = tan((10/9)π + (1/36)π) = (tan((10/9)π) + tan((1/36)π)) / (1 - tan((10/9)π)tan((1/36)π))
Now, we need to find the tangent values of (10/9)π and (1/36)π. Since tangent has a periodicity of π, we can subtract or add multiples of π to get equivalent angles within the range of 0 to π/2.
For (10/9)π, we can subtract π to get an equivalent angle within the range:
(10/9)π - π = (1/9)π
Similarly, for (1/36)π, we can add π to get an equivalent angle:
(1/36)π + π = (37/36)π
Now, we can rewrite the expression as:
tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))
Since we are looking for an angle within the range of 0 to π/2, we can further simplify the expression as:
tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))
Therefore, tan(41π/36) can be written in terms of the tangent of a positive acute angle as the expression given above.
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Find the common factor of all of the terms of the polynomial below.
14x2 - 12x
Α. 2x
Β. 4χ2
C. 2χ2
D. 4x
Answers
Answer:
A. 2x
Step-by-step explanation:
First let's correct the problem.
Question:
\(14x^2-12x\) is the binomial we are solving
Now, let's solve this.
We see that we have one term to the 2nd degree (shown by the exponent) and one to base degree. Therefore, the answer cannot be B or C since you cannot factor into a negative exponent.
So we now have either A. 2x or D. 4x
Let's try both of these.
Factoring out with 2x we get:
\(2x(7x-6)\), which is perfectly fine!
Factoring out with 4x we get:
\(4x(3.5x-3)\)
Therefore, it must be A. 2x
Alternatively, we know the factors of 14 are 1,2,7, and 14. The factors of 12 are 1,2,3,4,6, and 12. The only factor shared here is A. 2
27. Dylan bought 3 identical shirts online for a total cost of $71.83 including a flat rate of $7.99 for shipping. Write
an equation to find the cost of each shirt, s.
Answers
Answer:
71.83
Step-by-step explanation:
Find a Doctor, is a small startup that helps people find a physician that best meets their needs (location, insurance accepted, etc) During a "slow time for them, they have 9 staff members taking calls from customers. On average, one call arrives every 5 minutes (standard deviation of 5 minutes). Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes) Round your answer to 2 decimal places) How long does a customer spend on average waiting on hold before they can start speaking to a representative? Minutes
Answers
On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.
To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.
Given:
9 staff members taking calls.
On average, one call arrives every 5 minutes (standard deviation of 5 minutes).
Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).
To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:
"M" stands for Markovian or memoryless arrival and service times.
"c" represents the number of servers.
In our case, we have an M/M/9 queuing model since we have 9 staff members.
The average waiting time for a customer on hold is given by the following formula:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
Where:
c = number of servers (staff members) = 9
μ = average service rate (1 / average service time)
λ = average arrival rate (1 / average interarrival time)
ρ = λ / (c * μ)
First, let's calculate the average arrival rate (λ):
λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute
Next, calculate the average service rate (μ):
μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute
Now, calculate ρ:
ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407
Finally, calculate the waiting time:
Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))
= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))
≈ 1.16 minutes
Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.
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If b > a, which of the following must be true? A -a > -b B 3a > b C a² < b² D a² < ab
Answers
If b > a, then -a>-b and a²<b². The correct answers are option(A) and option(C)
To find which of the options are true, follow these steps:
If the inequality b>a is multiplied by -1, we get -a<-b. So option(A) is true.We cannot determine the relationship between 3a and b with the inequality a>b. So, option(B) is not true.Since a<b, on squaring the inequality we get a² < b². This means that option(C) is true.We cannot determine the relationship between a² and ab with the inequality a>b. So, option(d) is not true.Therefore, the correct options are option(A) and option(B)
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Find the gradient of the tangent to the graph:
y = 3x^2 – 7x – 5
at (2, - 7)
Answers
Step-by-step explanation:
Take the derivative of this function using the power rule
\( \frac{d}{dx} ( {x}^{n} ) = nx {}^{n - 1} \)
Since the terms are serpated using addition or subtraction we can take the derivative of this function separately
So our derivative end up becoming
\(6x - 7\)
Plug in x=2
\(6(2) - 7 = 5\)
So the gradient of the tangent line at 2,-7 is 5
Classify the quadrilateral. Then find the value(s) of the variable(s).
PLEASE HELP
Answers
Answer:
A
Step-by-step explanation:
plug in y and x, if you want to be sure of each answer
In the case of A) here are the 2 equations, y-2=x+4 and 3x+4=x+6
now plug in what a describes
x=1, y=7
7-2=1+4 and 7=7
Therefore the answer is A
Michele correctly solved a quadratic equation using the quadratic formula as shown below.
-(-5) ± √(-5)³-4(TX-2)
Which could be the equation Michele solved?
OA. 7z² - 5z -2=-1
B.
7z²
5z + 3 = 5
O c. 7z²
Ba ngô 8
O D. 7z² - 5z +5= 3
Answers
The solutions to the given quadratic equation are x=[5+13i]/14 or x=[5-13i]/14.
Given that, the quadratic formula is x= [-(-5)±√((-5)²-4×7×7)]/2×7.
Here, x= [5±√(25-196)]/14
x= [5±√(-171)]/14
x=[5±13i]/14
x=[5+13i]/14 or x=[5-13i]/14
Now, (x-(5+13i)/14) (x-(5-13i)/14)=0
Therefore, the solutions to the given quadratic equation are x=[5+13i]/14 or x=[5-13i]/14.
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find two consecutive natural numbers whose sum is 23
Answers
Answer:
Step-by-step explanation:
11 and 12
A recipe requires 7/8 stick of butter for each 1 1/4 cups of flour. Find the unit rate of sticks of butter to cups of flour.
Answers
Answer:
Let R = unit rate
R = (7/8) ÷ 1_1/4
R = (7/8) ÷ (5/4)
R = (7/8) • (4/5)
R = (7/2) • (1/5)
R = 7/10
Step-by-step explanation:
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Desert Landing is symmetric
Mean, because Sunny Town is skewed
Mean, because Desert Landing is symmetric
Median, because Sunny Town is skewed
Answers
When comparing the data, the measure of center that should be used to determine which location typically has the cooler temperature is the median, because the histogram for Sunny Town is skewed.
A skewed histogram indicates that the distribution is not symmetric, and in this case, the histogram for Sunny Town is skewed to the right. This means that there are some unusually high temperatures that are pulling the mean towards the right, making it a less reliable measure of center. The median, on the other hand, is not affected as much by extreme values and gives a better representation of the typical temperature in Sunny Town.
In contrast, the histogram for Desert Landing is symmetric, which means that the mean and median are equal and either measure of center could be used to determine the typical temperature. However, the question specifically asks about the location with the cooler temperature, so we need to look at the histogram for Sunny Town, which is skewed and requires the use of the median.
Therefore, the correct answer is: Median, because Sunny Town is skewed.
According to the Yahoo website on Dec 8, 2012 the predicted daily high temperature in Fairbanks, AK for
the next 5 days was -2 degrees, 0 degrees, 3 degrees, -1 degrees, and -3 degrees Fahrenheit. What was the
average daily high temperature for that 5-day period?
Answers
Answer:
yes
Step-by-step explanation:
yes
an integer multiplied by an integer is an integer.
a. true
b. false
Answers
The statement "An integer multiplied by an integer is an integer" is true.
An integer is a whole number that can be positive, negative, or zero. When you multiply two integers, the result is also an integer. For example, if you multiply 3 and 4, you get 12, which is an integer.
This property is one of the defining characteristics of the integers. It means that the integers form a closed set under multiplication. In other words, when you multiply any two integers, you always get another integer. This is not true for all numbers, such as fractions or decimals.
The whole numbers are the numbers without fractions and it is a collection of positive integers and zero. It is represented by the symbol “W” and the set of numbers are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,……………}.
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Explain which number is the "odd ball out" below
42, 9, 60, 8, 12
Answers
Answer:
9
Step-by-step explanation:
because its odd
verify that the vector xp is a particular solution of the given nonhomogeneous linear system.
x’ = (2 1 1 -1)x+(-5 2); x˅p = (1 3)
Answers
To verify that the vector xp is a particular solution of the given nonhomogeneous linear system, we need to substitute xp into the system and check if it satisfies the equation.
The given nonhomogeneous linear system can be written in the form x' = Ax + f, where A is the coefficient matrix (2 1 1 -1) and f is the constant vector (-5 2). The vector xp = (1 3) is a particular solution if it satisfies the equation x' = Ax + f.
Substituting xp into the equation, we get:
x' = (2 1 1 -1) (1 3) + (-5 2)
= (1 -1 2 -8)
Therefore, the left-hand side of the equation is:
x' = (1 -1 2 -8)
And the right-hand side is:
Ax + f = (2 1 1 -1) (1 3) + (-5 2)
= (1 -1 2 -8)
Since the left-hand side is equal to the right-hand side, we can conclude that the vector xp = (1 3) is indeed a particular solution of the given nonhomogeneous linear system.
We have verified that the vector xp = (1 3) is a particular solution of the given nonhomogeneous linear system by substituting it into the equation and checking if it satisfies the equation.
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If she makes $18. per hour, how much will she make in 30 minutes of working?
Answers
Answer: $9
Step-by-step explanation:
all you have to do is divide it by 2 cuz there's 60 minutes in an hour
Answer:
you will make $9
Step-by-step explanation:
if you make $18 an hour you will make $9 for half an hour
Solve:
Solve.
8
x
Michelle started with 5 dolls in bar
collection. Each month she bought
3 more. How many months did it
take her to collect 59 dolls?
lect sy
Answers
Explanation:
First, let’s right an equation for this. Michelle started with 5 dolls in a bar collection (I have no clue what that is but i’ll roll with it), and each month she bought 3 more, so 5 dolls plus the 3 dolls per month equals 59 at some point.
5 dolls + 3 dolls per month = 59 dolls
OR
5 + 3m = 59
The point of this question is to find how many months (m) it took in order to get to 59 dolls and there’s multiple ways you can do this:
1) just plug in random numbers into m to see how long it takes to get to 59 [this option might take a while]
2) Try to isolate m (get every number out of the equation) to find out the value of m. [I’m most familiar with this way]
First, subtract 5 from 5 in the equation in order to get rid of it, since we’re trying to get all whole numbers out of the equation and only have m left. You subtract 5 from 59 since the equal sign is kind of like a mirrror, whatever you do to one side you have to do to the other. So, 5-5 is 0, and 59- is 54.
Now you’re left with 3m=54. In order to isolate the m, divide 3 by 3 to get rid of the 3, then divide 54 by 3, which is 18.
In order to check your work, plug 18 into m just to see if it works or not:
5+3m=59 —-> 5+ 3(18)= 59
3 times 18 is 54, plus 5 is 59. So, Mi hells took 18 months to collect her 59 dolls. Hope this helped!
five numbers have a mean of 3. four of the numbers are 7,5,2,-4. what is the 5th number?
Answers
Answer: The fifth number is 5
Step-by-step explanation:
Please Help I Don't Understand. Thank You.
Answers
Answer:
Step-by-step explanation:
Can somebody help me with the list 3. Will mark brainliest
Answers
Answer:
3. < ACB=<DCE
Step-by-step explanation:
Both are vertical angles & they are equal
All observations in a list are multiplied by 5. Which of the following will NOT change? a)the average b)the deviations c)the standard deviation d)the observations expressed in standard units
Answers
Answer:
d)the observations expressed in standard units
Step-by-step explanation:
The average will change and hence, consequently, so will the deviations from the average and also the standard deviation. so, the only option left is d)
Select the correct answer. What is the solution to 4|x − 3| + 1 = 1?
Answers
Answer: 2x + 4 = 10 is your answer :)
Step-by-step explanation:
Answer:
x = 3 is your answer :3
Step-by-step explanation:
It costs a homeowner $4.00 to rent a set of hand tools, plus an additional
$2.00 per hour for the rental. The function that models the cost, c, of renting
tools for h hours is c = 2h + 4.
On a piece of paper, graph the function. Then determine which answer choice
matches the graph you drew.
Answers
Answer:
The correct graph answer is A.
Step-by-step explanation:
Let
c ----> the total cost to rent a set of hand tools
h ----> the number of hours for the rental
we know that
The linear equation that represent the problem is equal to
---> this is the equation of the line into slope intercept form
where
the slope m is equal to
m=$2 per hour
b=$2 ---> the y-intercept (the value of c when the value of h is equal to zero)
therefore
The correct graph is A.
B. C. and D. are incorrect
Thank non so much Chene Inters! thank nen so much Chene Inters! Thank nen semneh Chena inters! That en so much Chean Inters! Thank nen so much Chean Inters! thank nen remneh Chene Inters! Thank you so much Cheos tuters! Thank you so much Cheas tuters! thank you so much Cheao tutor thank you so much Cheos tuters! Thank you so much Cheos tuters! Thank you so much Cheas tuter This is This is The The QuestioQuestion I need I need Help Help With: With: This is This is The The QuestioQuestion I need I need Help Help Write a Regular Expression For this With: With: This is This is The The Questionuestion I need I need Help Help With: With: This is This is language: The Question L = {w = {a,b}* | w has I need Help With: This is odd number of The Question I need a's and ends Help With: This is The Question I need Help With: This is The The Question Question need with b} Please show work neatly and I will thumb up your answer promptly if it makes sense! Do not copy and paste work from other questions or I will give you a thumbs down. I need Help With: Help With: This is This is The The Question Question I need I need Help With: Help
Answers
The regular expression is ^(a(aa)*b)$.
Find Regular expression for odd 'a's, ending with 'b'?To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:
^(b|(a(aa)*b))$
Breaking it down:
^ indicates the start of the string.
(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.
(aa)* matches zero or more pairs of 'a's.
$ indicates the end of the string.
This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.
Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.
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Alyssa will correctly label the numbers 48.4, 48 12, 48.09 and 4835 on the number line below
Answers
The number lines representing the numbers given are attached with the answer.
In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
Given is that Alyssa has to label the numbers : 48.4, 48.12, 48.09 and 48.35 on the number line.
Refer to the number lines attached. The number lines are plotted representing the numbers 48.4, 48.12, 48.09 and 48.35.
Therefore, the number lines representing the numbers given are attached with the answer.
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Anyone know the answer to this one ?
Answers
Answer: B) y = 2 · 3ˣ
Step-by-step explanation:
We can see that (2, 18) is a point on the graph.
Plug it into the equations to see which one make a true statement.
A) y = 1 · 3ˣ
18 = 1 · 3²
18 = 1 · 9
18 ≠ 9
B) y = 2 · 3ˣ
18 = 2 · 3²
18 = 2 · 9
18 = 18 This works!
C) y = 3 · 2ˣ
18 = 3 · 2²
18 = 3 · 4
18 ≠ 12
D) y = 4 · 3ˣ
18 = 4 · 3²
18 = 4 · 9
18 ≠ 36
two mixed numbers are divided the quotient is 5 1/2 select whether each statement is true or false
Answers
Answer: The divisor is less than 5 1/2 and the dividend is greater than 5 1/2
Find the 18th term of this
arithmetic sequence:
12, 26, 40, 54,...
Answers
Answer:
110
Step-by-step explanation:
54+14=68+14=82+14=96+14=110
adding 14
Evaluate the expression 43+ (7 - 3) x 2.
Answers
Answer:
51
Step-by-step explanation:
Answer: 51
Step-by-step explanation:
Use PEMDAS. First solve inside the parentheses. You will get 43 + (4) x 2. Then, do the multiplication (4x2). You will have 43+8. And that can be simplified to 51. Hope this helps!
coordinate geometry graph each coordinate with the given verticals determine whether the figure is a rectangle justify your answer using indicate formula
Answers
Question 9.
The graph of the vertices is shown below.
For the figure above to be a rectangle, the two sides must have the same slope. Meaning lines that slope of PQ = slope of RS and slope of QR = slope of PS.
The slope of PQ is
\(\frac{-2-2}{-3--4}=-\frac{4}{1}\)The slope of RS is
\(\frac{4-0}{2-3}=-\frac{4}{1}\)The slope of QR is
\(undefined\)The parallelogram would have been a rectangle is th
Question 10.
