Given: sin (A) = 5/13, pi/2 < A < pi and tan (B) = - sqr root 13, pi/2 < B <. What is tan(A - B)? A. (5 + 12sqr root 13)/(12 - 5sqr root13) B. (12 - 5sqr root)/(5 + 12sqr root13) C. (12 + 5sqr root13)/(-5 + 12 sqr root13) D. (-5 + 12 sqr root13)/(12 + 5 sqr root13)
Answers
The value of tan (A - B) is (-5 + 12√13) / (12+ 5√13)
How to determine tan(A-B)?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
tan (B) = - √13
Since sin(A) = 5/13 (opposite/hypotenuse)
adjacent = √(13² - 5²) = 12 units
Since π/2 < A < π, adjacent = -12
Thus, tan (A) = -5/12
Applying the angle difference formula,
tan (A - B) = (tan A - tan B) / (1 + tan A tan B)
tan (A - B) = (-5/12 - (- √13)) / (1 + (-5/12)×(-√13))
tan (A - B) = (-5/12 + √13) / (1 + (5√13)/12)
tan (A - B) = (-5 + 12√13) / (12+ 5√13)
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Related Questions
(x - 2)² + 6x – 7 Which of the following is equivalent to
Answers
Answer:
[tex]x^2 +2x-3[/tex]
Step-by-step explanation:
Given
[tex](x - 2)\² + 6x - 7[/tex]
Required
The equivalent
We have:
[tex](x - 2)\² + 6x - 7[/tex]
Expand
[tex](x - 2)\² + 6x - 7 = x^2 -2x-2x +4 +6x - 7[/tex]
Collect like terms
[tex](x - 2)\² + 6x - 7 = x^2 -2x-2x+6x +4 - 7[/tex]
[tex](x - 2)\² + 6x - 7 = x^2 +2x-3[/tex]
Hence, the equivalent is:
[tex]x^2 +2x-3[/tex]
The plot below shows the ages of residents at Oak Creek Assisted Living. The black dots represent residents in the east wing, and the gray dots represent residents in the west wing. Use the plot to answer the following question.
Answers
Answer:
There isn't a plot
Step-by-step explanation:
g Calculations Lesson 1
Name:
0.
You earn 5 vacation days every 6 months. How many days will you have earned after 3 years?
Answers
Answer:
30 days
Step-by-step explanation:
you earn 10 vacation days a year, multiply that by 3 to get 30 days in 3 years
If you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainly
Answer:
30 vacation days
12 months ÷ 6 months = 2
so 1 yeah has you would earn 10 vacation , multiple that by 3
a) 4x - 3(2x + 1) + 7x - 1 b.) 3x - 4(2x + 1) = 5 + 2(3x - 1)
How do I solve this and simplify this? Please help
Answers
Answer:
157
Step-by-step explanation:
1+1+2+3409384£848484848484844
please help asap what is m A
Answers
9514 1404 393
Answer:
∠A = 66°
Step-by-step explanation:
The other base angle (∠B) of this isosceles triangle is also 57°. Of course, the total of all angles is 180°, so we have ...
∠A +∠B +∠C = 180°
∠A + 57° + 57° = 180° . . . fill in the known numbers
∠A = 66° . . . . . . . . . . . . . subtract 114° from both sides
What is the distances between (3, 10) and (3, -8)
Answers
Answer:
(0,-12)
Step-by-step explanation:
is this what your looking for? what form would you like me to answer this in?
In a study of author productivity, a large number of authors were classified according to the number of articles they had published during a certain period. The results were presented in the accompanying frequency distribution:
Number of papers 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
Frequency 708 204 127 50 33 28 19 19 6 7 6 7 4 4 5 3 3
Required:
Construct a histogram corresponding to this frequency distribution.
Answers
Answer:
Follows are the response to this question:
Step-by-step explanation:
It is the most important positive skewness of the data is the distribution.
Notes:
Another approach for Mini-tab to generate a graph from the data set is through the capability of Mini-tabs, for instance, to type 784(1) in 784 copies of its number 1, to input multiple copies of the same number. Frequency data were input with both the following attached file mini-tab directions in this workout:
indicate the equation of the given line in standard form. the line that contains the point q(1,-2) and is parallel to rhe line whose equation is y-4=2/3(x-3)
Answers
Since the lines are parallel they have the same slope 2/3. use point slope form to get,
y+2=2/3(x-1)
y+2=2/3x-2/3
y=2/3x-8/3
3y=2x-8
2x-3y=8
Please like, rate and give me Brianliest Please and Thank you!
Find the measure of each numbered angle or are.
Answers
Answer:
<1 = 138degrees
<2 = 156degrees
Step-by-step explanation:
From the diagram given;
angle at the vertex = 36degrees
Angle at the intercepted arc are <1 and 66degrees
Using the theorem;
Angle at the vertex is 1/2 the difference of the angles at the intercepted arcs
36 = 1/2(<1-66)
36*2 = <1-66
72 = <1 - 66
<1 = 72+66
<1 = 138degrees
Also since the sum of angle in a circle is 360degrees, hence;
<1 + <2 + 66 = 360
138 + <2 + 66 = 360
<2 + 204 = 360
<2 = 360 - 204
<2 = 156degrees
Asaaap
What is the mean, median and mode of the following test scores?
Answers
Answer:
The mean is 38, the median is 34, the mode is 34
Step-by-step explanation:
mean: add all the numbers then divide by how many numbers there are in the data set, there were 7 test scores so in this case, divide by 7
median: the number in the middle when you order the numbers from least to greatest
mode: most commonly used number; number that appears most often.
hope this helps!
The mean area of homes in a certain city built in 2009 was 2438 square feet. Assume that a simple random sample of 11 homes in the same city built in 2010 had a mean area of 2,293 square feet, with a standard deviation of 225 square feet. An insurance company wants to know if the mean area of homes built in 2010 is less than that of homes built in 2009. Compute the P-value of the test. Write down your P-value. You will need it for the next question.
Answers
Answer:
The p-value of the test is 0.029.
Step-by-step explanation:
The mean area of homes in a certain city built in 2009 was 2438 square feet.
An insurance company wants to know if the mean area of homes built in 2010 is less than that of homes built in 2009.
This means that at the null hypothesis we test if the mean is the same as in 2009, that is:
[tex]H_0: \mu = 2438[/tex]
At the alternate hypothesis, we test that if it is less, than is;
[tex]H_a: \mu < 2438[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
2438 is tested at the null hypothesis:
This means that [tex]\mu = 2438[/tex]
Assume that a simple random sample of 11 homes in the same city built in 2010 had a mean area of 2,293 square feet, with a standard deviation of 225 square feet.
This means that [tex]n = 11, X = 2293, s = 225[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{2293 - 2438}{\frac{225}{\sqrt{11}}}[/tex]
[tex]t = -2.14[/tex]
Compute the P-value of the test.
Probability of finding a mean less than a value(in this case, 2293) is a one-tailed test.
The pvalue is found for a one-tailed test, with t = -2.14 and 11 - 1 = 10 degrees of freedom. With the help of a calculator, the pvalue of the test is of 0.029
The p-value of the test is 0.029.
The temperature at 12 p.m. was - 12 degrees farenheit
Answers
Answer:
what are you asking
Step-by-step explanation:
. Number of whole numbers between 42 and 65 is _________.
Answers
Step-by-step explanation:
: The number of whole numbers lying between 42 and 65 is 22 (65 – 42 – 1 = 22). They are as follows 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, and 64.
Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?
A. a bar graph
B. a circle graph
C. a histogram
D. a line graph
Answers
(if it’s not then sorry)
Answer:
A
Step-by-step explanation:
It was the correct answer when I submitted my assignment. A histogram is best for continuous data thats why a bar graph is best.
Which of the following is the proper conversion into y-intercept form?
-x+3y=13
A. y=x+1/3
B. y=1/3x+12
C. y=1/3x+4
D. y=-1/3x+4
Answers
The prism below is packed with no gaps between the cube that measure 1/4 ft. What is the volume, in cubic feet of the right rectangular prism?
Answers
Answer: 1/2
First you do 4/4 times 4/4. Which is equal to 1. Then, you multiply by 2/4 to get 1/2.
2. Solve 92n = 404n-7. Round to the nearest ten-thousandth, which is four places after the decimal
point.
Answers
Answer:
n = 0.0224
Step-by-step explanation:
The given expression is :
92n = 404n-7
We need to solve it for n.
Subtract 92n from both sides,
92n-92n = 404n-7-92n
7 = 404n-92n
7 = 312 n
n = 0.0224
So, the value of n is equal to 0.0224.
Does the graph of f (x) = -(x+6)2 have a maximum or a minimum?
Answers
Answer:
the quadratic function has a maximum as it is opened downwards.
Step-by-step explanation:
pls mark brainliest if you could! hope this helped!
Can someone please help me?
Answers
Answer:
43% probability of being moderate
Step-by-step explanation:
Since the formating is a little messed up, I assumed that the first column was liberal, second was moderate, and the third was conservative.
A student S is suspected of cheating on exam, due to evidence E of cheating being present. Suppose that in the case of a cheating student, evidence E is present with 60% percent probability, and in the case of a student that does not cheat, evidence E is present with a 0.01 percent probability. Suppose also that the proportion of students that cheat is 1 percent. Show all the steps including identification of what formulas/properties you used. Points will be deducted from answers if only the final answer is provided.
Required:
a. Determine the events, given probabilities and inferred probabilities.
b. Determine the probability that the evidence is present.
c. Determine the probability that S cheated given the evidence is present.
Answers
Answer:
Step-by-step explanation:
Suppose we think of an alphabet X to be the Event of the evidence.
Also, if Y be the Event of cheating; &
Y' be the Event of not involved in cheating
From the given information:
[tex]P(\dfrac{X}{Y}) = 60\% = 0.6[/tex]
[tex]P(\dfrac{X}{Y'}) = 0.01\% = 0.0001[/tex]
[tex]P(Y) = 0.01[/tex]
Thus, [tex]P(Y') \ will\ be = 1 - P(Y)[/tex]
P(Y') = 1 - 0.01
P(Y') = 0.99
The probability of cheating & the evidence is present is = P(YX)
[tex]P(YX) = P(\dfrac{X}{Y}) \ P(Y)[/tex]
[tex]P(YX) =0.6 \times 0.01[/tex]
[tex]P(YX) =0.006[/tex]
The probabilities of not involved in cheating & the evidence are present is:
[tex]P(Y'X) = P(Y') \times P(\dfrac{X}{Y'})[/tex]
[tex]P(Y'X) = 0.99 \times 0.0001 \\ \\ P(Y'X) = 0.000099[/tex]
(b)
The required probability that the evidence is present is:
P(YX or Y'X) = 0.006 + 0.000099
P(YX or Y'X) = 0.006099
(c)
The required probability that (S) cheat provided the evidence being present is:
Using Bayes Theorem
[tex]P(\dfrac{Y}{X}) = \dfrac{P(YX)}{P(Y)}[/tex]
[tex]P(\dfrac{Y}{X}) = \dfrac{P(0.006)}{P(0.006099)}[/tex]
[tex]P(\dfrac{Y}{X}) = 0.9838[/tex]
Please answer the following screenshots correctly.I will give brainliest
Answers
3. 30
4.26
Explanation:
1. For perimeter you add all the side lengths together, and since in parallelogram both pair of opposite sides are parallel, so your equation would be: 4+4+10+10=28
3. Area=base x height, the base=10 and the height it the length of the line inside the parallelogram which equals 3. So, but the numbers into area formula: Area=10x3
Solve: Area=30
4. Do the same as the first problem add all the side lengths: 11+4+4+7=26
Area of traingle and rectangle
More coming!!
Answers
Answer:
20cm2
Step-by-step explanation:
area of triangle :
1/2 x b x h
= 1/2 x 8 x 5
=20 cm 2
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
x = 5.5
Step-by-step explanation:
tan 20° = [tex]\frac{x}{15}[/tex]
[tex]\frac{36397}{100000} =\frac{x}{15}[/tex]
100000x = 5459
x = 5.459
need help on this to!! thanks <33
Answers
5) n=2.5 this is because 5/2=2.5 and multiplying 1 by 2.5 equals to 2.5
hope this helps :)
Answer:
4) n = 12
5) n = 2.5
Step-by-step explanation:
4) 45/4 = 11.25
135/11.25 = 12
5) 2/1 = 2
5/2 = 2.5
Which images are tessellations?
Image 1 and 4
Image 3 and 2
Image 1 only
Image 3 and 4
Answers
Option - D - Image 3and 4 is correct
We have the following images.
We have to classify which image is a tessellations.
What are tessellations?tessellations is also called tiling which involves the covering up of rigid plane surface using the geometric shapes (tiles) ensuring that these shapes don't overlap and leave no gap.
In the image 3, we have a geometric shape called triangle which is used as a tile to cover the surface. These shapes don't overlap and leave no gap as they perfectly fit with one another. Similar is the case with image 4, where hexagonal tiles are used. Therefore, image 3 and 4 are tessellations. The images 1 and 2 does not have any predefined geometric shape and nothing can be said about their perfect fit. Hence these are not tessellations.
Hence, Option - D is correct.
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Help pls show work if needed
Answers
Answer:
it is most likely going to be months or minutes
Step-by-step explanation:
In my opinion it depends on how long or big the art project is. I wish I knew the exact answer for you I am so sorry that I don't. I do not believe that it is seconds because it is so small of a measure unit. I hope this helps I wish I could help more.
What is the remainder of 3x³ - 2x² - 7x +6 divided by x+1? Is x+1 a factor of the polynomial?
Answers
Answer:
x+1
Step-by-step explanation:
Which number line shows the solutions to n > —2?
Answers
Answer:
C
Step-by-step explanation:
n > - 2
This means a number line which shows values greater Than - 2 ;
We start from, - 2 and the point isn't shaded, (since it is not ≥). And we move to the right of the number line as values increase to the right of a number line.
So values greater than - 2 should be covered such as, - 1, 0, 1, 2, 3,...
ok this is my last question for right now lol
Answers
Answer:
The first option is correct!
Solving Quadratics by Factoring
r^2-8r=0
Answers
Answer:
r = 0, r = 8
Step-by-step explanation:
Given
r² - 8r = 0 ← factor out r from each term
r(r - 8) = 0
Equate each factor to zero and solve for r
r = 0
r - 8 = 0 ⇒ r = 8