How do I solve this problem. I have to find the missing side lengths and lease my sender as radicals in simplest form
Answers
Answer:
x = y = 2√2
Step-by-step explanation:
Find the diagram attached
To get the unknown side x and y, we need to use the SOH CAH TOA identity
Opposite side = x
Adjacent = y
Hypotenuse = 4
Sin theta = opposite/hypotenuse
sin 45 = x/4
x = 4 sin 45
x = 4 * 1/√2
x = 4 * 1/√2 * √2/√2
x = 4 * √2/√4
x = 4 * √2/2
x = 2√2
Similarly;
cos theta = adjacent/hypotenuse
cos 45 = y/4
y = 4cos45
y = 4 * 1/√2
y = 4 * 1/√2 * √2/√2
y = 4 * √2/√4
y = 4 * √2/2
y = 2√2
Related Questions
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer: x = 10
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°.
(2x + 3) + (5x + 17) + 90 = 180
2x + 3 + 5x + 17 + 90 = 180
7x + 110 = 180
7x = 70
x = 10
Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.
please help!! will mark brainliest!!
Answers
Answer:
226.19 inches
Step-by-step explanation:
you have a ramp that is 2.5 meters long. its height is 30 centimeters. what is the angle of your ramp?
Answers
To determine the angle of the ramp, we can use trigonometry and calculate the inverse tangent (arctan) of the ratio of the height to the length of the ramp.
Given a ramp length of 2.5 meters and a height of 30 centimeters (0.3 meters), the angle of the ramp is approximately 6.87 degrees. The angle of the ramp can be found using the formula: angle = arctan(height/length). By substituting the values, we get angle = arctan(0.3/2.5).
Using a calculator or math software to evaluate the arctan of this ratio, we find that the angle is approximately 6.87 degrees. This means that the ramp has a relatively gentle incline, indicating a low slope or gradient. Knowing the angle of the ramp can be useful in various applications, such as construction, accessibility planning, or determining the safety of the slope for specific purposes.
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For the following argument, construct a proof of the conclusion from the given premises, -(3x) (PX Mx), (3x) (Mx Sx) 1:. -(x) (SxPx)
Answers
To construct a proof of the conclusion "-(∀x) (S(x) ∧ P(x))" from the given premises "-(3x) (P(x) ∧ M(x))" and "(3x) (M(x) ∧ S(x))," we can use a proof by contradiction.
We will assume the negation of the conclusion and derive a contradiction. Here's the proof:
-(∀x) (S(x) ∧ P(x)) (Assumption)(3x) (P(x) ∧ M(x)) (Given premise)
(3x) (M(x) ∧ S(x)) (Given premise)
P(a) ∧ M(a) (Existential instantiation from 2)
M(a) ∧ S(a) (Existential instantiation from 3)
M(a) (Simplification from 5)
P(a) ∧ M(a) (Repetition from 4)
-(P(a) ∧ M(a)) (Negation introduction from 7)
-(P(a) ∧ M(a)) ∧ M(a) (Conjunction introduction with 6 and 8)
-M(a) (Simplification from 9)
P(a) ∧ M(a) (Repetition from 4)
P(a) ∧ M(a) ∧ -M(a) (Conjunction introduction with 10 and 11)
⊥ (Contradiction introduction from 12)
-(∀x) (S(x) ∧ P(x)) (Negation introduction from 1-13)
Therefore, we have derived a contradiction, which allows us to conclude that the negation of the assumption is false. Thus, we can conclude:
-(∀x) (S(x) ∧ P(x))
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I need to find the diameter of a circle and the line in the middle is 3/5 cms
Answers
Answer:
1.2
Step-by-step explanation:
There are 2 lines in the middle of the circle. Im guessing by you saying "The line in the middle" You must mean the radius your trying to find the diameter so, the radius is half of the diameter so to find the diameter you do the radius x 2 in this case 3/5x2 equals 1.2 :)
I Hope this helps!!
An interval estimate for the average amount of money spent by Australian students on subscription based entertainment platforms in a week was reported to be $32468 to $37224. This interval estimate was based on a sample of 48 students. The variance of the population was determined from previous studies to be $44582179 squared. What level of confidence can be attributed to this interval estimate? State your answer as a percentage, correct to the nearest whole number.
Answers
The level of confidence that can be attributed to the interval estimate is approximately 97%. This means that we can be 97% confident that the true average amount of money spent by Australian students on subscription-based entertainment platforms falls within the range of $32,468 to $37,224.
To determine the level of confidence for the interval estimate, we need to consider the t-distribution and the degrees of freedom associated with the sample size.
Since the sample size is 48, the degrees of freedom would be 48 - 1 = 47. Using a t-distribution table or calculator, we can find that with 47 degrees of freedom, a confidence level of approximately 97% corresponds to a t-value of 2.682.
Since the interval estimate is not explicitly provided, we can assume it to be the range between $32,468 and $37,224.
We have that the t-value is associated with a two-tailed test, the level of confidence for this interval estimate is approximately 97%.
Therefore, we can attribute a confidence level of 97% to this interval estimate, indicating that we can be 97% confident that the true average amount of money spent by Australian students on subscription-based entertainment platforms falls within the given range.
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In the diagram linem is parallel to linen
with a transversal linet.
Which of the below terms best describe
the relationship between <3 and <4?
Answers
Answer:
Alternate exterior angles
Step-by-step explanation:
If they shared a vertex, they would be vertical angles, but since they are on different lines, and alternate sides, the dark blue (alternate exterior angles) answer is correct.
Suppose that the number of defects on a roll of magnetic recording tape has a Poisson distribution for which the mean A is either 1.0 or 1.5, and the prior probability mass function of A is as follows: (1.0) = 0.4 and (1.5) = 0.6. If a roll of tape selected at random is found to have four defects, what is the posterior probability mass function of X? The posterior p.m.f is____.
Answers
The posterior probability mass function of X is given below:0.4 * 0.0183 = 0.00732.0.6 * 0.0513 = 0.03078. Posterior Probability Mass Function of X: ____0.00732 if A = 1.0.____0.03078 if A = 1.5.
Explanation: The probability mass function for Poisson distribution is given by: P(X = x) = (e^-λ * λ^x) / x!Where,λ is the mean. The given prior probability mass function of A is P (A = 1.0) = 0.4P(A = 1.5) = 0.6.
Thus, the mean is either A = 1.0 or A = 1.5.
Now, let X be the number of defects on a roll of tape. Using the law of total probability, the probability mass function of X is P (X = x) = P (X = x, A = 1.0) + P (X = x, A = 1.5)
Using Bayes' theorem, the posterior probability mass function is given by: P (A = 1.0 | X = 4) = P (X = 4 | A = 1.0) * P (A = 1.0) / P (X = 4) P (A = 1.5 | X = 4) = P (X = 4 | A = 1.5) * P (A = 1.5) / P (X = 4)
Now, we need to calculate P (X = 4 | A = 1.0) and P (X = 4 | A = 1.5) using the Poisson distribution.
P (X = 4 | A = 1.0) = (e^-1 * 1^4) / 4! = 0.0183.P(X = 4 | A = 1.5) = (e^-1.5 * 1.5^4) / 4! = 0.0513.
Now, we need to calculate the value of the denominator,
P (X = 4). P (X = 4) = P (X = 4, A = 1.0) + P (X = 4, A = 1.5) = P (X = 4 | A = 1.0) * P (A = 1.0) + P (X = 4 | A = 1.5) * P (A = 1.5)
Put the values: P (X = 4) = (0.0183 * 0.4) + (0.0513 * 0.6) = 0.0342.
Put the values in the above posterior probability mass function equations,
we get: P (A = 1.0 | X = 4) = 0.00732 and P (A = 1.5 | X = 4) = 0.03078.
Therefore, the posterior probability mass function of X is:0.00732 if A = 1.0.0.03078 if A = 1.5.
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The following data gives an approximation to the integral M = S'f(x) dx = 2.0282. Assume M = N,(h) + kyha + k_h* + ..., N,(h) = 2.2341, N, then N2(h) = 2.01333 1.95956 0.95957 2.23405
Answers
The value of N₂(h), for the following data gives an approximation to the integral M = [tex]\int\limits^1_0 {f(x)} \, dx[/tex] N₁(h)= 2.2341 N₁(h/2) = 2.0282 is 0.8754. So, none of the options are correct.
Given that N₁(h)= 2.2341 and N₁(h/2) = 2.0282.
Applying Richardson's extrapolation method, we can find the value of the definite integral M using the formula,
M = N₁(h) + k₂h² + k₄h⁴ + ...
Therefore, we have to find the value of N₂(h).
Here, h = 1 - 0 = 1.
N₂(h) can be obtained by the formula,
[tex]N_2(h) = \frac{(2^2 * N_1(h/2)) - N_1(h)}{2^2 - 1}[/tex] , Substituting the data values we get,
[tex]N_2(h) =\frac{(2^2 * 2.0282) - 2.2341}{2^2 - 1}[/tex]
[tex]N_2(h)= \frac{8.1128 - 2.2341}{3}[/tex]
[tex]N_2(h)=\frac{2.6263 }{3}[/tex]
[tex]N_2(h)=0.8754333 = 0.8754[/tex]
Therefore, none of the option is correct.
The question should be:
The following data gives an approximation to the integral M = [tex]\int\limits^1_0 {f(x)} \, dx[/tex] N₁(h)= 2.2341 N₁(h/2) = 2.0282. Assume M = N₁(h) + k₂h² + k₄h⁴ + ... then, N₂(h) =
a. 2.01333
b. 1.95956
c. 0.95957
d. 2.23405
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question 1 (2 points) triangle abc is similar to triangle wyz. select all angles whose cosine equals . question 1 options: angle b angle z angle y angle c angle a angle w
Answers
In triangle ABC, which is similar to triangle WYZ, the angles whose cosine equals are angle B and angle Z.
To determine the angles whose cosine equals, we need to consider the corresponding angles in similar triangles. In similar triangles, corresponding angles have the same measure, but the side lengths may be different. Since triangle ABC is similar to triangle WYZ, angle B in triangle ABC corresponds to angle Z in triangle WYZ. Similarly, angle Z in triangle ABC corresponds to angle B in triangle WYZ. Therefore, angle B and angle Z are the angles in the respective triangles whose cosine equals.
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In this problem, y=c₁ece is a two-parameter family of solutions of the second-order DE y-y-0. Find a solution of the second-order TVP consisting of this differential equation and the given initial conditions. y(-1)=2 y(-1) = -2;
Answers
The solution of the second-order differential equation y'' - y' = 0 with the given initial conditions y(-1) = 2 and y'(-1) = -2 is y(x) = 2e^x - 4e^-x.
To find a solution to the second-order differential equation y'' - y' = 0, we first solve the characteristic equation by assuming a solution of the form y(x) = e^(rx). Plugging this into the differential equation, we get r^2e^(rx) - re^(rx) = 0. Factoring out e^(rx), we have e^(rx)(r^2 - r) = 0. This gives us two possible values for r: r = 0 and r = 1.
For r = 0, the corresponding solution is y₁(x) = c₁, where c₁ is a constant.
For r = 1, the corresponding solution is y₂(x) = c₂e^x, where c₂ is a constant.
To find the particular solution that satisfies the given initial conditions, we substitute the values of x = -1, y(-1) = 2, and y'(-1) = -2 into the general solution. This gives us the equations 2 = c₁ and -2 = c₂e^-1. Solving for c₁ and c₂, we find c₁ = 2 and c₂ = -2e.
Therefore, the solution to the second-order differential equation with the given initial conditions is y(x) = 2e^x - 4e^-x.
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what is the midline equation of y= 7sin (3pi/4 x - pi/4) +6
Answers
Answer: 6
Step-by-step explanation:
Answer: y=6
Step-by-step explanation:
Find measure of angle A
Answers
Answer:
angel a is 65 degrees
Step-by-step explanation:
40+2x+10=180
40-40+2x+10-10=180-40-10
2x=130
x=65
checking:
65 + 10 + 40 = 75 + 40 = 115
115+65=180
180=180
Let A = {1,3,5,7). B = {5, 6, 7, 8). C = {5, 8} D = (2,5,8), and U = {1,2,3,4,5,6,7,8). Determine whether the expression shown below is true or false. If it is false, then give the reaso DCB . O A. False; the sets must have the same number of elements. B. False; all elements in D are not in B O C. True OD. False; all elements in D are in B O E. None of the above
Answers
The statement is False.
Let A = {1,3,5,7). B = {5, 6, 7, 8). C = {5, 8} D = (2,5,8), and U = {1,2,3,4,5,6,7,8).
To determine whether the expression DCB is true or false, we need to know the content of these sets.
To determine the content of DCB:
DCB contains all elements of D, all elements of C, and all elements of B except those that are already in D and C.
D = {2,5,8} C = {5, 8} B = {5,6,7,8}
DCB = {2,5,8,6,7}
Thus, DCB is false because not all elements in D are in B, and all elements in D are not in B.
Therefore, the answer is option B.False; all elements in D are not in B.
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MARK BRAINLIESTTTTTT
Answers
Answer:
i think its c hope it helps
Step-by-step explanation:
All real solutions of the equation.
Answers
What is the Median for the Box & Whisker Plot below?
HELP PLEASEE
Answers
Answer:
20
Step-by-step explanation:
Find the x-intercept(s) Round to nearest hundredth if needed y=-2x^2-8x-4
Answers
y=-2x^2-8x-4
-2x^2-8x=4
divide by negative 2
x^2+4x=-2
complete the square
(x+2)^2=-2+4
(x+2)^2=2
x+2=±[tex]\sqrt{2}[/tex]
x=-2±[tex]\sqrt{2}[/tex]
nearest hundreths,
x=-0.59
x=-3.41
Pls help and thank youuuuu:)
Answers
Answer:
22
Step-by-step explanation:
according to your question
Based on the data shown below X 2 3 4 5 6 7 8 19 10 data 45.22 44.74 40.96 37.68 33.7 30.62 30.94 24.26 21.88 21.4 11 Find the correlation coefficient. What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.
Answers
There is a strong negative linear relationship between x and y, and almost all of the variation in y can be explained by the variation in x.
The correlation coefficient is -0.961 and the proportion of the variation in y that can be explained by the variation in the values of x is 92.3%.
The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the correlation coefficient between x and y is -0.961, which indicates a strong negative linear relationship between the two variables.
The coefficient of determination (r²) measures the proportion of the variation in y that can be explained by the variation in the values of x. In this case, the value of r² is 0.923, or 92.3%. This means that 92.3% of the variability in y can be explained by the variability in x. Therefore, there is a strong negative linear relationship between x and y, and almost all of the variation in y can be explained by the variation in x.
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please help------------,
Answers
Answer:
600 cm²
Step-by-step explanation:
The shaded area (A) is calculated as
A = area of square - ( area of 3 unshaded triangles )
area of square = 40 × 40 = 1600 cm²
area of lower right triangle = [tex]\frac{1}{2}[/tex] × 20 × 40 = 10 × 40 = 400 cm²
area of upper left triangle = [tex]\frac{1}{2}[/tex] × 40 × 20 = 20 × 20 = 400 cm²
area of lower left triangle = [tex]\frac{1}{2}[/tex] × 20 × 20 = 10 × 20 = 200 cm²
Then
A = 1600 - (400 + 400 + 200 ) = 1600 - 1000 = 600 cm²
what are three ways you can solve a proportion?
Answers
Answer:
horizontal
vertical
diagonal
Step-by-step explanation:
I guess I only know those.hope it helps you
Plz help me
The points (6, 10) and (5, 7) fall on a particular line. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
NO LINKS
Answers
Answer:
Finding the equation using the two points is: y=3x-8
The slope is: m=3
The slope and y-intercept is: 3, (0,-8)
Step-by-step explanation:
I put all of these answers because i was basically fully confused by the wording of this question.. Sorry.
A custom fish tank shaped like a rectangular prism needs to have a length of 21 inches, a width of 16 inches and hold a volume of 6758 cubic inches. What height must the tank be made to meet these specifications?
Answers
Answer:
i dont know im not that smart ask someone else dude
Step-by-step explanation:
Hello um I need help if anyone could help me with this that would be perfect:))!!
Answers
Answer:
1. If D= whole numbers then the answer is B.0 if it is integers the answer is A.-10
2. The answer is D. That number is an irrational number.
Step-by-step explanation:
Im pretty sure that #1 is B.0, but since there are no labels and i haven't done this in a while, I wasn't quite sure. Sorry.
PLEASE HELP HURRY WILL GIVE BRAINLIST IF CORRECT
Answers
Answer:
26 per week
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary). (-1,8) and (8,5)
Answers
Please answer <33 I would lava it :)
Answers
Answer:
5 gallons
Step-by-step explanation:
3/4 + 6/8 + 20/8 + 1
6/8 + 6/8 + 20/8 + 8/8
40/8 = 5 gallons
Find the distance between the two points.
(-4, 7), (4,0)
units.
The distance between the two points is
Answers
Answer: √113 or 10.63
Step-by-step explanation: the exact answer is √113, or 10.63 if you're looking for the decimal form
Step-by-step explanation:
Let the distance between two points A = (-4,7) and B = (4,0).
Here, x1 = -4 , y1 = 7
x2 = 4 , y2 = 0
Use the distance formula to find out the distance between two points are:
AB = √[(x2-x1)²+(y2-y1)²]
= √[{4-(-4)}²+(0-7)²]
= √[(4+4)²+(-7)²]
= √[(8)² + (-7)²]
= √[(8*8)+(-7*-7)]
= √[64+49]
= √[113] ⇛10.630 units approximately.
rebecca’s electric bill is a variable expense. what is the average amount she pays for electricity if she paid $135 in december, $129 in january, $99 in february, $120 in march and $140 in april?
Answers
The average amount Rebecca pays for electricity based on the given data is $124.60.
To calculate the average, we add up the amounts she paid in each month and then divide by the total number of months. In this case, the sum of her payments is $135 + $129 + $99 + $120 + $140 = $623. Dividing this sum by the total number of months (5), we get an average of $623 / 5 = $124.60. Calculating the average helps us determine the typical amount Rebecca pays for electricity based on the given data. It provides an overall picture of her average expenses in the specified period.
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