Answers
Answer:
13.8
Step-by-step explanation:
Hello There!
Basic concept: Geometry
We can solve for x using trigonometric ratios
Here are the Trigonometric Ratios
Remember SOHCAHTOA
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For the angle that has a measure of 37 degrees
We are given its adjacent side length (11) and we need to find the hypotenuse
Basic concept: Alegbra 1
Adjacent and Hypotenuse corresponds with Cos so we are going to use cosine to create an equation and solve for x
Remember cos = adjacent over hypotenuse
So
[tex]cos37=\frac{11}{x}[/tex]
now we solve for x
what we want to do is get rid of the 11, to do so we divide each side by 11
[tex]\frac{11}{cos37} =x\\cos37=.79863551\\\frac{11}{0.79863551} =13.773749224[/tex]
we're left with x = 13.773749224
finally we want to round to the nearest tenth
The answer would be 13.8
Related Questions
task 1
Find the surface area of the Trumpet.
Answers
The surface area of the trumpet is [tex]\( 1256.64 \pi \)[/tex] square feet.
To find the surface area of the trumpet, we need to calculate the areas of the curved surface and the base separately, and then sum them.
The curved surface area of a truncated cone can be calculated using the formula:
[tex]\[ CSA = \pi \times (r_1 + r_2) \times l \][/tex]
Where [tex]\( r_1 \) and \( r_2 \)[/tex] are the radii of the two bases, and [tex]\( l \)[/tex] is the slant height of the truncated cone.
Given that the base diameter is [tex]40[/tex] feet, the radius of the larger base [tex](\( r_1 \))[/tex] is half of that, which is [tex]20[/tex] feet. The slant height [tex](\( l \))[/tex] can be calculated using the Pythagorean theorem:
[tex]\[ l = \sqrt{(h^2 + (r_1 - r_2)^2)} \][/tex]
The height [tex]h[/tex] of the truncated cone is [tex]30[/tex] feet, and the radius of the smaller base [tex](\( r_2 \))[/tex] can be calculated as half the diameter, which is [tex]10[/tex] feet.
Substituting the values into the equations:
[tex]\[ l = \sqrt{(30^2 + (20 - 10)^2)} = \sqrt{(900 + 100)} = \sqrt{1000} = 10\sqrt{10} \]\[ CSA = \pi \times (20 + 10) \times (10\sqrt{10}) = 30\pi\sqrt{10} \][/tex]
The base area of the truncated cone is the area of a circle with radius [tex]\( r_1 \):\[ BA = \pi \times r_1^2 = \pi \times 20^2 = 400\pi \][/tex]
Finally, we can find the total surface area by adding the curved surface area and the base area:
[tex]\[ Surface \, Area = CSA + BA = 30\pi\sqrt{10} + 400\pi \][/tex]
[tex]\[ Surface \, Area = 30\pi\sqrt{10} + 400\pi \]\[ Surface \, Area = \pi(30\sqrt{10} + 400) \]\[ Surface \, Area \approx 1256.637 \pi \]\[ Surface \, Area \approx 1256.64 \pi \][/tex]
Therefore, the simplified surface area of the trumpet is approximately [tex]\( 1256.64 \pi \)[/tex] square feet.
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Use the Linear Approximation to estimate Δꜰ=ꜰ(3.5)−ꜰ(3) ꜰᴏʀ ꜰ(x)=41+x2 (Use decimal notation. Give your answer to five decimal places.)
Δf≈ help (decimals)
Calculate the actual change.
(Use decimal notation. Give your answer to five decimal places.)
Δf = help (decimals)
Compute the error and the percentage error in the Linear Approximation.
(Use decimal notation. Give your answer to five decimal places.)
Error = help (decimals)
Percentage error = % help (decimals)
Answers
To estimate Δf = f(3.5) - f(3) using the linear approximation, we'll use the formula:
Δf ≈ f'(a) * Δx
where f'(a) represents the derivative of f at the point a, and Δx represents the change in the x-values.
Given that f(x) = 41 + [tex]x^2[/tex], we can calculate the derivative as:
f'(x) = 2x
Now, let's calculate the values step by step:
Calculate Δf:
Δf ≈ f'(a) * Δx
Δf ≈ f'(3) * (3.5 - 3)
Δf ≈ 2(3) * (3.5 - 3)
Δf ≈ 6 * 0.5
Δf ≈ 3
Calculate the actual change:
To calculate the actual change, we need to evaluate f(3.5) and f(3) separately:
f(3.5) = 41 +[tex](3.5)^2[/tex]
f(3.5) = 41 + 12.25
f(3.5) = 53.25
f(3) = 41 + [tex](3)^2[/tex]
f(3) = 41 + 9
f(3) = 50
Δf = f(3.5) - f(3)
Δf = 53.25 - 50
Δf = 3.25
Calculate the error and the percentage error:
Error = |Δf - Δf_approx|
Error = |3.25 - 3|
Error = 0.25
Percentage error = (|Δf - Δf_approx| / Δf) * 100
Percentage error = (0.25 / 3.25) * 100
Percentage error ≈ 7.69%
So, the results are as follows:
Δf ≈ 3
Actual change (Δf) ≈ 3.25
Error ≈ 0.25
Percentage error ≈ 7.69%
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helppppppppppp meeeeeeeeeee
Answers
Answer:
It's 11.72
Step-by-step explanation:
Area=)1/2×15/4×25/4
Answer》11.72
Hope it helps...
Have a great day
Answer:
i have made it in above picture
Write your answer in simplest form 11/12- 3/4
Answers
Answer: 1/6 is its simplest form :)
Triangle CDE, with vertices C(-8,-7), D(-2,-8) and E(-5,-2), is drawn on the coordinate grid below.
What is the area, in square units, of triangle CDE?
Answers
Answer:
Area = 24.75 sqr units
Step-by-step explanation:
You will need these formulas:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Midpoint = [tex](\frac{x_{1} + y_{1} }{2} , \frac{x_{2} + y_{2} }{2})[/tex]
Area = b x h
Let us treat CD as the base. Find the length of the base with the distance formula. Use the coordinates for points C & D.
[tex]d = \sqrt{(-2 - (-8))^2 + (-8-(-7))^2}[/tex]
[tex]d = \sqrt{37}[/tex]
The base is [tex]\sqrt{37}[/tex].
The height is the distance between point E and the midpoint of line CD.
Midpoint of CD = [tex](\frac{-8 + (-7) }{2} , \frac{-2 + (-8) }{2})[/tex] = ([tex]-\frac{15}{2}[/tex], [tex]-5[/tex])
Use the distance formula to find the height.
[tex]d = \sqrt{(-5 - (-\frac{15}{2} ))^2 + (-2-(-5))^2}[/tex]
[tex]d = \frac{\sqrt{61} }{2}[/tex]
Find the area with the two distances that were found.
Area = [tex](\sqrt{37}) (\frac{\sqrt{61} }{2})[/tex]
Area = [tex]\frac{\sqrt{2257} }{2}[/tex]
Area = 24.75 sqr units
1. What is the domain of
f (x)= 9 - x?
Answers
Answer:
theres no answer
Step-by-step explanation:
A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters (ml). In fact, the contents vary according to a Normal distribution with mean μ=298ml and standard deviation σ=3ml. What is the probability that the mean contents of six randomly selected bottles are less than 295 ml?
Answers
The probability that the mean contents of six randomly selected bottles are less than 295 ml is 0.007, or 0.7%.
To find the probability that the mean contents of six randomly selected bottles are less than 295 ml, we can use the Central Limit Theorem. According to the Central Limit Theorem, the distribution of sample means from a population with any distribution approaches a normal distribution as the sample size increases.
In this case, we have a normal distribution with a mean (μ) of 298 ml and a standard deviation (σ) of 3 ml. We want to find the probability of the mean contents of six bottles being less than 295 ml.
First, we need to calculate the standard error of the mean, which is the standard deviation of the sampling distribution of the mean. The formula for the standard error is σ / √n, where σ is the population standard deviation and n is the sample size.
In our case, σ = 3 ml and n = 6. Therefore, the standard error (SE) is:
SE = 3 / √6 ≈ 1.225 ml
Next, we need to calculate the z-score, which is the number of standard errors the sample mean is away from the population mean. The formula for the z-score is (x - μ) / SE, where x is the sample mean.
In our case, x = 295 ml, μ = 298 ml, and SE = 1.225 ml. Therefore, the z-score is:
z = (295 - 298) / 1.225 ≈ -2.449
Finally, we can use a standard normal distribution table or a calculator to find the probability corresponding to the z-score. The probability that the mean contents of six bottles are less than 295 ml is the area under the normal curve to the left of the z-score.
Using a standard normal distribution table or calculator, we find that the probability corresponding to a z-score of -2.449 is approximately 0.007.
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Cindy lost 28 pounds while on a diet. She now weighs 157 pounds. Write and solve an equation to find her initial weight
Answers
Answer:
The equation is 157+28=185.
157+ 28= 185
I think that’s right
[tex] \sqrt{39} [/tex]
Please help me to find the answer of square root 39
plz
Answers
Answer:
hi dear friend the answer is 6.245. hope that helps it has been a pleasure to help you can always look out for me if you have a math problem.
Help on here too plz there’s more in my acc I need help on all
Answers
y=4rad5
it’s a 45-45-90 triangle so the two legs are the same. the equation for hypotenuse would be h=rad2 x leg. substitute; h=rad2 x 2rad10 = 4rad5
Your customer has found base plates that are defective, they exceed the maximum width dimension of 4.005. As a result the mating component will not fit on these base plates properly. You manufacture these base plates on four identical CNC milling machines with approximately 25% of the production coming from each machine.
Simplified drawing of base plate is shown below.
Assignment:
Your manager has requested you sample 50 pieces from the manufacturing floor that were manufactured from each machine, analyze the data and come up with recommendations to solve the problem. (The data for the 50 piece sample is attached at the end of the assignment.)
Introduction: describing the process and statement of the general problem(s)
Analysis of the data: Graphical analysis is required
Each table and graph must be briefly explained at the point of the table or graph to indicate how it relates to the study at hand.
A brief summary of the findings relating back to specific analytical tools
Cause and effect diagram(s): identifying PERTINENT possible solutions to the problem(s)
Answers
The problem at hand involves base plates that exceed the maximum width dimension, resulting in improper fitting of the mating component. To address this issue, a sample of 50 base plates manufactured from each of the four CNC milling machines was analyzed.
Graphical analysis of the data revealed insights into the problem. Recommendations for solving the problem include identifying pertinent possible solutions through cause and effect diagrams.
The analysis of the sample data from each CNC milling machine provides valuable insights into the issue of base plates exceeding the maximum width dimension. By graphically analyzing the data, patterns or variations can be identified, helping to pinpoint the specific source of the problem. This analysis may involve creating graphs or tables to visualize the measurements and compare them across the machines.
To identify possible solutions, cause and effect diagrams, such as fishbone diagrams, can be utilized. These diagrams help to identify potential causes of the issue by categorizing them into different categories such as machine factors, material factors, human factors, and environmental factors.
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1. The values, x in a sample of 15 are summarized as follows
Σ(x-c) = 72,Σ(x-c)2 = 499.6
where c is a constant. Given that the sample mean is 104.8.
(a) Find the value of constant c.
(b) Find the variance of x.
Answers
Answer:
(a) 100
(b) 10.27
Step-by-step explanation:
We are given
No of elements = 15
Σ(x-c) = 72,Σ(x-c)^2 = 499.6
,where c is a constant
and the sample mean is 104.8.
(a) lets take into account Σ(x-c) = 72
this means that we have the sum of the 15 elements of x and each element of x is subtracted by the constant c
so the equation becomes Σxi -15c = 72, ............(1)
where xi means the sum of the elements of x from 1 to 15.
we are given the mean as 104.8
this means that Σxi/15 = 104.8
Σxi = 15*104.8 = 1572 .............(2)
substituting (2) in (1)
we get
1572 - 15c = 72
15c = 1500
c = 100
(b) We will use the property that variance does not change when a constant value is added or subtracted to the elements. This we can observe in the given equation that c is a constant that has the value of 100.
so the variance is
σ^2 = Σ(x-c)^2/15 - (Σ(x-c)/15 )^2
= 499.6/15 - (72/15)^2
= 33.31 - 23.04
σ^2 = 10.27
Therefore the variance of the given problem is 10.27.
Let D be the region bounded by the two paraboloids z = 2x2 + 2y2 – 4 and z=5 - x2 - y2 where x > 0 and y > 0. Which of the following triple integral in cylindrical coordinates allows us to evaluate the volume of D? - √3 5-2 Salon dzdrde None of thes
Answers
Option D is the correct choice.
To evaluate the volume of D, the triple integral in cylindrical coordinates is required. So, let's derive the required triple integral.
Region D is bounded by two paraboloids z = 2x2 + 2y2 - 4 and z = 5 - x2 - y2 where x > 0 and y > 0.
In cylindrical coordinates,r = √(x^2 + y^2)z = zθ = tan-1(y/x)For the first paraboloid, the cylindrical equation of the paraboloid is: z = 2x2 + 2y2 - 4
By substituting the cylindrical coordinates values in this equation we get z = 2r2 sin2θ + 2r2 cos2θ - 4z = 2r2 (sin2θ + cos2θ) - 4z = 2r2 - 4 Now for the second paraboloid, the cylindrical equation of the paraboloid is: z = 5 - x2 - y2By substituting the cylindrical coordinates values in this equation we get:z = 5 - r2 The limits of r are 0 and √5; and the limits of θ are 0 and π/2.
Finally, the limits of z are obtained by equating the above two paraboloids.2r2 - 4 = 5 - r22r2 + r2 = 9r2 = 3z = 3We have got all the limits of cylindrical coordinates, we can now write the triple integral in cylindrical coordinates which evaluates the volume of D.
The triple integral is:∫(0 to π/2)∫(0 to √5)∫(2r2 - 4 to 3) r dz dr dθ
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What is k^2+16k+64+89
Answers
Answer:
k²+16k+ 153
Step-by-step explanation:
k²+16k+64+89
= k²+16k+ 153
Please someone help with this
I’v been stuck on it all day
By the way I have already been sent that link that hacks you
Just show the work
Answers
ok, i will help you.
For the first equation, we have points
(-1, -4)
and
(1, -1)
we also know the y-intercept is
(0, -2)
we can make systems of equations to solve for the equation of this exponiental function
y=ab^x
-1=ab
-2=a*1
a=-2
-1=-2(b)
b=1/2
The exponiental fufnction here is y=(-2)(1/2)^x
2nd equation
(0, 6)
(1, 12)
12=ab
6=a*b^0=6
a=6
12=6(b)
b=2
2nd equation is
y=6(2)^x
Help Please! Find The Area Of A Circle With D=8.2
Answers
Answer:
52.81
Step-by-step explanat
Jim and three friends shared 2 poster boards for an art project. What part of the construction paper will each friend get? *
Answers
Answer: 1/2 of a sheet
Step-by-step explanation:
2 sheets divided by 4 people
2/4
Simplify to 1/2
BRAINLY TO WHOEVER HELPS AND GETS IT RIGHT
~no links pls~
Answers
Answer:
the answer is C
Step-by-step explanation:
BABYSHARK
Answer:
I think its c?
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
MARKING BRAINLIST ASAPP pleaseee help
Answers
Answer:38
Step-by-step explanation:I think it's 38 because it said right 8 and down 15 so it's kinda like a grid right mean stay positive but also means it goes up so I did 45 plus 8 which is 53 minus 15 which is 38. Hope this gets brainliest
The integral ſ sin(x - 2) dx is transformed into ', g(t)dt by applying an appropriate change of variable, then g(t) is: g(t) = cos (33) g(t) = sin (5) This option This option g(t) = cos (3 g(t) = sin This option
Answers
The integral oſ sin(x - 2) dx is transformed into g(t)dt by applying an appropriate change of variable is g(t) = sin(t).
To transform the integral ∫sin(x - 2) dx into the form ∫g(t) dt using a change of variable, we can let u = x - 2.
Then, differentiating both sides with respect to x gives du = dx.
Substituting these values in the integral, we have:
∫sin(x - 2) dx = ∫sin(u) du
The integral has now been transformed into the integral of sin(u) with respect to u, denoted as g(t) dt.
Therefore, g(t) = sin(t).
So, the correct option is g(t) = sin(t).
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A 20-inch television screen has a width of 12 inches. What is the length of the television screen?
Answers
I NEED HELP
Please write the right answer
Your portfolio must include a minimum of the following five types of equations and solutions:
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Remember that each equation must include at least one variable. Once you have created each equation, you will solve it and show your work. Pretend that you are teaching the equations to a new pre-algebra student. Or you can actually teach them to a sibling or friend!
This is a total of 7 equations and solutions.
Answers
Answer:
1). (x - 4 = 13)
2). (r + 17 = 51)
3). (7/9x =28)
4). (2/3x = 2)
5). { 3(x-2) = -9 }
6). (x -1.75 = 8.85)
7). Natalie buys organic almonds priced at $77 from the grocery store. How much did
she pay the cashier, if she received $23 in change?
Step-by-step explanation:
1. add 4 on both sides and it will be x=17
2. subtract 17 on both sides and it will be x= 34
3. multiply 9/7 on both sides and it will be x= 257/7 then you divide 257 by 7 then the final answer will be x= 36
4. multiply 3/2 on both sides and it will be x=6/2 then you divide 6 from 2 and the finial answer will be x= 3
5. you will distribute 3 into x and 2 and you will be 3x-6=-9 then you will add 6 on both sides so you will get 3x=3 and then divide 3 on both side so you will get x=1
6. add 1.75 on both sides so x= 10.6
7. the equation will be 23 +x = 77 so first you will subtract 23 on both sides and x will equal 54 so Natalie paid $54
Answer:
i'm taking that test rn
Step-by-step explanation:
please help please it would me me sm <3
Answers
Answer:
25
Step-by-step explanation:
4x25=100
100-25=75 degrees
Answer:
25°
Step-by-step explanation:
(4x-25)=75
4x=100
x=25
cars that are ready for shipping weigh 2 tons. a car being built weighs 1,135 pounds. how much more weight, in pounds, will be added to the car so it will be ready for shipping!?!
Answers
The science and technology class is studying robotics. One group builds a robot that can be controlled by entering positive and negative numbers into a control unit. Negative numbers make the robot roll backwards a specific number of inches. Positive numbers make it move forward a certain number of inches. For example, if −5 is entered, then the robot moves backwards 5 inches. The students enter the numbers −37, +22, and −16. What number do they need to enter to make the robot return to its original position of 0?
Answers
To achieve this, the students must enter +31 (forward) to bring the robot back to its starting position of 0.
The robot can move forward or backward depending on the type of number entered into the control unit. For example, entering a negative number causes the robot to roll backward a specific number of inches,
while entering a positive number makes it move forward a certain number of inches. If −5 is entered, the robot moves backwards by 5 inches. As a result, the students entered the numbers −37, +22, and −16 to move the robot.
The question asks what number needs to be entered to bring the robot back to its starting position of zero. To do so, we must first calculate how far the robot has traveled in total.
When a negative number is entered into the control unit, the robot rolls backward.
As a result, when we add the negative numbers and subtract them from the positive number,
we can determine the total distance traveled by the robot.-37 (back) + 22 (forward) - 16 (back) = -31 (inches traveled)Since the robot moved a total of 31 inches,
the students must enter the opposite number to bring the robot back to its starting position of 0.
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please helpppp which function h(x) results when g(x) is translated 7pi/8 units right and one unit down????
Answers
Answer:
The second option
Step-by-step explanation:
For matrices: A = -1-41] 0 2 2 2 30] B = 33 -1 2 A. What is the dimension of A and B? B. What is the dimension of A B? C. What is A'B?
Answers
A. the dimension of A is 3x3. the dimension of B is 3x2.
B. the dimension of AB will be 3x2.
C. The value of AB = [[ -15 14] [ 4 -2] [ 13 -9]]
A. The dimension of a matrix is given by the number of rows and columns it has.
For matrix A, we have:
A = [[-1 -4 1], [0 2 2], [2 3 0]]
The matrix A has 3 rows and 3 columns, so the dimension of A is 3x3.
For matrix B, we have:
B = [[2 0], [3 -3], [-1 2]]
The matrix B has 3 rows and 2 columns, so the dimension of B is 3x2.
B. To multiply two matrices, the number of columns in the first matrix must be equal to the number of rows in the second matrix. In this case, A has 3 columns and B has 3 rows, so we can multiply them.
The dimension of AB will be the number of rows of A and the number of columns of B. Therefore, the dimension of AB will be 3x2.
C. [-1 -4 1] * [2 0]
[0 2 2] [3 -3]
[2 3 0] [-1 2]
[-2-12-1 0+12+2]
= [0+6-2 0-6+4]
[4+9+0 0-9+0]
[ -15 14]
= [ 4 -2]
[ 13 -9]
The value of AB = [[ -15 14] [ 4 -2] [ 13 -9]]
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Given question is incomplete, the complete question is below
For matrices: A =[[ -1 -4 1] [0 2 2][ 2 3 0]] B =[[2 0] [3 -3 ][-1 2] ]
A. What is the dimension of A and B?
B. What is the dimension of A*B?
C. What is A*B?
You must estimate the mean temperature (in degrees Fahrenheit)
with the following sample temperatures:
79.5
102.8
80.8
76.8
80.4
79.2
86
67.7
Find the 98% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place). * Answer should be obtained without any preliminary rounding.
98% C.I. =
Answers
The interval value at 98% confidence level for the given scenario is (73.51 ; 89.79)
From the data :
Mean(x) = (79.5+102.8+80.8+76.8+80.4+79.2+86+67.7)/8
Mean = 81.65
Sample standard deviation :
s = √[(x1 - mean)² + (x2 - mean)² + ... + (x(n) - mean)²] / n
Using a statistical calculator :
s = 9.98
The confidence interval is defined thus :
Mean ± Tcritical × s/√n
Tcritical at 98% = 2.306
Substituting values into the formula :
81.65 ± (2.306 × 9.98/√8)
81.65 ± 8.137
(73.51, 89.79)
Therefore, the confidence interval for the given scenario is (73.51 ; 89.79)
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what is the equation of the line that passes through the point (-6,-6) and has a slope of 2/3?
Answers
Answer:
-6=2/3*-6
Step-by-step explanation:
y=mx+b
slope = m b=y intercept
PLEASE HELP!!
In a right triangle, the length of one of the sides is 13.7, while one of the other sides measures 14.3. Find the length of the hypotenuse.
Answers
The length of the hypotenuse is approximately 19.8 units.
In a right-angled triangle, the hypotenuse is the longest side, and it is opposite to the right angle. To find its length, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Therefore, we have:
h^2 = 14.3^2 + 13.7^2
h^2 = 204.49 + 187.69
h^2 = 392.18
h = sqrt(392.18)
h ≈ 19.8
We can round the answer to one decimal place, as this is the nearest level of precision to the data provided. Note that for a right-angled triangle, the hypotenuse is always the longest side, so it makes sense that the hypotenuse is longer than both of the other sides in this case.
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