Answers
============================================================
Explanation:
I'm assuming that segments AD and CD are tangents to the circle.
We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.
By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.
----------------------------
Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.
Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.
We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.
---------------------------
Here's what we have so far for quadrilateral DAEC
angle A = 90angle E = 100angle C = 90angle D = unknownNow we'll use the idea that all four angles of any quadrilateral always add to 360 degrees
A+E+C+D = 360
90+100+90+D = 360
D+280 = 360
D = 360-280
D = 80
Or a shortcut you can take is to realize that angles E and D are supplementary
E+D = 180
100+D = 180
D = 180-100
D = 80
This only works if AD and CD are tangents.
Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.
Related Questions
Pls help what is the answer? I need help, no links are allowed.
Answers
Answer:
44 cm³
Step-by-step explanation:
If you break up this shape into 2 pieces you get a rectangle with the measurements of 2, 2, and 5 and another rectangle with the measurements of 2, 2, and 6. You then multiply 2, 2, and 5 together which will get you 20, and multiply 2, 2, and 6 together which will get you 24. You will then add both products which will get you 44. Since the measurement is in centimeters and it is a 3 dimensional shape it will then become 44 cm³.
can someone give the answer and explain cause im confused. will try to mark brainliest
Answers
Answer:
bro got you
x>-6
Step-by-step explanation:
\(\bold{x}\) ≥ \(\bold{-6}\)
Solution Steps:______________________________
1.) Add 7 to both sides:\(-7+7=\) Cancels Out\(11+7=18\)- We have to get rid of both numbers on each side, so to do so, we do the opposite of what we see: Since we have a negative 7, we add 7 on each side.
Equation at the end of Step 1:
\(-3x\) ≤ \(18\)2.) Divide both sides by -3:\(-3\) ÷ \(-3=\) Cancels Out\(18\) ÷ \(-3=-6\)- We have to get rid of numbers on each side, so do to so, we do the opposite of what we see. Since we have a negative 3 being multiplied, we divide by -3 instead.
- Since -3 is negative, the inequality direction is changed as well.
Equation at the end of Step 2:
\(x\) ≥ \(-6\)______________________________
80 divided by 192.0!!!!!!!!!!!!!!!
Answers
Answer: .416666667
Step-by-step explanation: Take 80 and divide it by 192.0= .416666667
(will give brainliest)
2x^2-x>0
Answers
Answer:
x<0 or x>1/2
Step-by-step explanation:
Answer:
X<0 or x>1/2
Step-by-step explanation:
The average U.S. resident uses 100 gallons of
water per day. The population of the United
States is about 3.23 x 108. About how
many gallons of water do U.S. residents use
each day? Express your answer in scientific
notation.
Answers
Answer:
3.4884 x 10^4
Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
The total number of gallons of water do U.S. residents use
each day is \(3.23 \times 10^{10}\).
Given that, total numbers of gallons of water uses each day = 100 and population of US = \(3.23 \times 10^8\).
What is scientific notation?Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
Now, the total number of gallons of water US resident use each day = US population × Number of gallons of water US resident use each day
= \(3.23 \times 10^8 \times 100\)
= \(3.23 \times 10^8 \times 10^2\)
=\(3.23 \times 10^{10}\)
Therefore, the total number of gallons of water do U.S. residents use
each day is \(3.23 \times 10^{10}\).
To learn more about the scientific notation visit:
brainly.com/question/18073768.
#SPJ2
URGENT PLS HELP. pls but why or why not thank you:))
Answers
Answer:
No the relation is not a function
Step-by-step explanation:
A function by definition will have a unique output for every input, so there should be no repeating outputs, however, the clinic cares for 2 legged animals (birds) as well as 4 legged animals (cats and dogs). With this being said, if a clinic has 2 animals(input), the amount of legs(output) could be 8 if two dogs, or it could be 4 if two birds, or even six if a dog and bird.
If this were a function, the clinic would undeniably have different amounts of legs having two animals opposed to one animal, but this isn't true. if the clinic has 2 birds(input), there'd be 4 legs(output). but the clinic would also have 4 legs(output) if it had 1 dog(input). the output is the same for two different inputs
This shows the output is varying depending on the type of animal since the amount of legs changes, rather than the amount of animals.
Hope this helps :)
What is the domain of the given function?
{(3,-2), (6, 1), (-1, 4), (5, 9), (-4, 0)}
{x|x = -4,-1, 3, 5, 6}
Oyly=-2, 0, 1, 4, 9}
O {x|x = -4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
Oyly=-4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
h
Answers
Answer:
A
Step-by-step explanation:
the domain are the value on the x coordinate
i.e 3, 6, -1, 5, -4 = {-4,-1,3,5,6}
If you are purchasing a building for $8,000,000 and the bank lends you $6,400,000 the Loan to Value is $1,600,000 65% 80% 100%
Answers
To calculate the Loan to Value (LTV) ratio, we divide the loan amount by the purchase price of the property and express the result as a percentage. LTV = 80%
Given: Purchase price of the building: $8,000,000 Loan amount: $6,400,000 LTV = (Loan amount / Purchase price) * 100 LTV = ($6,400,000 / $8,000,000) * 100 LTV = 0.8 * 100 LTV = 80%
Therefore, the Loan to Value (LTV) ratio in this scenario is 80%. This means that the bank has provided a loan equivalent to 80% of the purchase price of the building.
The remaining 20% of the purchase price, which is $1,600,000 in this case, would be the down payment or equity contribution made by the borrower. Correct answer is 80%
Know more about Loan amount here:
https://brainly.com/question/32260326
#SPJ11
help ????????????????????????????????????/
Answers
hi can i helhuf4hruehuvfejoicheuihirgcruegviuwdheiewheiuwp
- 3/8 + 1/6
i kinda just didn't pay attention in class, i just need an explaination of how to solve it and im good to go
Answers
Answer:
\({ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} \)
What is the domain of this radical function? f(x) = √x + 1 - 3
A. [3, ∞)
B. [-3, ∞)
C. [1, ∞)
D. [-1, ∞)
Answers
The domain of the function is all real numbers greater than or equal to -1, or in interval notation, [-1, ∞).
What is domain?Domain is the set of values that can be plugged into the function to produce a valid output, also known as the dependent variable.
According to question:To find the domain of the radical function f(x) = √(x + 1) - 3, we need to identify any values of x that would make the function undefined.
The expression inside the square root must be non-negative, so we have the condition x + 1 ≥ 0. Solving for x, we get x ≥ -1.Also, the expression under the square root cannot be equal to zero, because that would result in a division by zero. So x + 1 ≠ 0, or x ≠ -1.Therefore, the domain of the function is all real numbers greater than or equal to -1, or in interval notation, [-1, ∞).
So the answer is D. [-1, ∞).
To know more about domain visit:
https://brainly.com/question/28135761
#SPJ1
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
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
Question 7
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
900
2,000
2,100
4,000
Question 8
The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
Question 9
A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for his data?
Stem-and-leaf plot
Histogram
Circle graph
Box plot
Answers
The number of people that prefer mustard is 900 and the graphical representation of a datasets are box plots & circle graphs
Interpreting the histogramThe histogram is not given and the data represented on the histogram are not properly presented
This means that the histogram cannot be interpreted
Predicting the number of hotdogsHere, we have
Ketchup = 63
Mustard = 27
Chili = 60
So, we have
Mustard = 27/(63 + 27 + 60) * 5000
Evaluate
Mustard = 900
This means that 900 people prefer mustard
The graphical representation of a datasetGiven that
Data = Milligrams of Vitamin C from 100 different gummy vitamins sold
This data can be represented using a box plot because the five-summary data can be easily identified from the dataset
From the five-summary, the median can be derived
The graphical representation of a datasetIn this case, the graph to use is a circle graph
This is so because the circle graph would show the proportion of the student's preferences
Read more about graphical representation at
https://brainly.com/question/28350999
#SPJ1
what percentage of the fire fighters in the sample have moderate to severe risk for alcohol problems?
Answers
The percentage of the fire fighters have moderate to severe risk for alcohol problems is 28%
From the sample, we can get that number of fire fighters who participated in rescue of 9/11 attack and are under moderate to severe risk for alcohol problems is =309.
Total number of fire fighters participated in 9/11 attack is =1102
So, percentage of fire fighters have moderate to severe risk for alcohol problems are =(309/1102)×100
percentage from the sample= 0.28×100=28%
Hence, 28% fire fighters are in severe risk for alcohol problems
To know more about percentage, visit here:
https://brainly.com/question/13450942
#SPJ4
(Complete question) is:
what percentage of the fire fighters in the sample have moderate to severe risk for alcohol problems?
Show that there exist a rational number a and an irrational number b such that a^b is irrational.
Answers
Answer:
In explanation below.
Step-by-step explanation:
Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.
can you help me graph -3y<2x+9
Answers
Answer:
Step-by-step explanation:
Which objective function has the same slope (parallel) as this one: $4x+$2y=$20? Select one: a. $8x+$4y=$10 b. $8x+$8y=$20 c. $4x−$2y=$20 d. $2x+$4y=$20 ear my choice
Answers
The objective function that has the same slope (parallel) as the given function $4x + 2y = 20 is
option d. $2x + $4y = $20.
To determine which objective function has the same slope as $4x + 2y = 20, we need to rearrange the given equation into slope-intercept form, y = mx + b, where m represents the slope. In this case, we have:
$4x + $2y = $20
$2y = -$4x + $20
y = -2x + 10.
By comparing this equation with the slope-intercept form, we can see that the slope is -2. Therefore, we need to find the objective function with the same slope. Among the options, option d, $2x + $4y = $20, has a slope of -2 since its coefficient of x is 2 and its coefficient of y is 4 (2/4 simplifies to -1/2, which is the same as -2/1). Thus, option d is the correct answer.
Learn more about Objective function here:
brainly.com/question/2500020
#SPJ11
Triangle STU is a right triangle.
Write an equation that relates the lengths of sides s, t, and u? (5 points)
Answers
Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².
What is the triangle?Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.
Here,
Given : Triangle STU is a right triangle.
Thus,
We find :
sides s,t and u
the relationship between them is :
As it is a right triangle
So,
According to the pythagoras theorem,
=>u²= t²+s²
Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
Which expression is equivalent to -4 (y + 3 - b)
Answers
Answer:
-4y-12+4b
Step-by-step explanation:
Use the Distributive Property:
\( - 4(y + 3 - b)\)
\( - 4y - 12 + 4b\)
\(-4y-12+4b\) is an equivalent expression.
Nick can type 30 words a minute. How many words can be typed in 9.5 minutes ?
Answers
Answer:
285 words in 9.5 min
Step-by-step explanation:
Use the appropriate conversion factor here:
30 words x
---------------- * -------------
1 minute 9.5 min
So x = number of words typed in 9.5 min = 285
the formula gives the length of the side, s, of a cube with a surface area, sa. how much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches? in. in. in. in.
Answers
The difference between the two lengths is 2.8284 inches
What is cube?
The six square faces of a cube, which has six sides that are all the same length, make it a solid object in three dimensions. One of the five platonic solids, it is additionally referred to as a regular hexahedron. Twelve edges, eight vertices, and six square faces make up the form. Given that the three-dimensional object is a square with equal-length sides, the lengths of the cube's length, breadth, and height are all the same. The edge, which is regarded as the edge's bounding line, divides a cube's faces along a shared border.
Cube's surface area is equal to 6 * (sides)2 where side2 = surface area / 6 and side = sqrt (surface area / 6)
The cube's 1200 square inch surface area is as follows:
side = (surface area / 6)
side = sqrt(1200/6)
size equals 14.1421 inches.
Using the 768-square-inch cube as an example:
side = (surface area / 6)
side = sqrt(768 / 6)
dimension is 11.3137 inches.
Hence the difference between the two lengths is 2.8284 inches
Learn more about cube, by the following link.
https://brainly.com/question/7872727
#SPJ4
My brothers hw is 3x +(-6 + 3y)
Answers
Answer:
3x + 3y - 6
Step-by-step explanation:
3x - 6 + 3y =
3x + 3y - 6
ethical research methods include multiple choice selecting samples that you know to be biased. always using a census as samples as not reliable. using only convenience sampling to select samples. doing your best to select an unbiased sample.
Answers
Ethical research methods include D. doing your best to select an unbiased sample.
What is research ethics?In research, ethical considerations are a set of principles that guide your research designs and practices. Active consent, informed consent, anonymity, confidentiality, potential for harm, and results communication are among these principles.
The standards of conduct for scientific researchers are governed by research ethics. To protect the dignity, rights, and welfare of research participants, it is critical to follow ethical principles. Many ethical norms in research, for example, guidelines for authorship, copyright and patenting policies, data sharing policies, and peer review confidentiality rules are intended to protect intellectual property interests while encouraging collaboration.
Learn more about research ethics on:
https://brainly.com/question/22691507
#SPJ1
ill give top if u answer correct
Which other expression has the same value as (-14)-(-8)
Answer choices:
(-14)+8
14-(-8)
14+(-8)
(-14)+(-8)
Answers
Answer:
the last one (-14)+(-8)
Step-by-step explanation:
-14 - -8 any time you have minus a negative it's a + sign
so
-14+8 therefore it's the first one.
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 90 N acts on a certain object, the acceleration of the object is 10 m/s² . If the force is changed to 81N , what will be the acceleration of the object?
Answers
Answer:
9 1/10th m/s2 :)
Step-by-step explanation:
The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...
1. Triangle ABC has an angle of ABC = 60°, AB = 3 √3 cm and BC = 4 √3 cm. Determine the length of AC.
Answers
Answer:
see below
Step-by-step explanation:
you can use cosine law
(3 sqrt3)^2 + (4 sqrt3)^2 - 2(3 sqrt3)(4sqrt3)cos60 = AC^2
AC = sqrt39
suppose you are testing to see if there is a difference in population mean lifetime of two brands (1,2) of batteries. random samples of batteries are taken for each brand and the following data are recorded: sample 1: n1
Answers
The test statistic of two brands of batteries is -2.177.
How to calculate test statistic?\(n_1\) = size of sample 1 = 16
\(n_2\) = size of sample 2 = 21
\(\bar{x_1}\) = mean of sample 1 = 210
\(\bar{x_2}\) = mean of sample 2 = 225
\(\sigma_{1}\) = standard deviation of sample 1 = 20
\(\sigma_{2}\) = standard deviation of sample 2 = 23
T test is test for statistical hypothesis that follows t-distribution table under null hypothesis. T test is used when test statistic would follow a normal distribution if the value of a scaling term in the test statistic were known. So, for this case we use t test for test statistic,
t = \(\frac{\bar{x_1}-\bar{x_2}}{\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}}\)
t = \(\frac{210-225}{\sqrt{\frac{20^2}{16}+\frac{23^2}{21}}}\)
t = \(\frac{-15}{\sqrt{\frac{400}{16}+\frac{529}{21}}}\)
t = -15 / 7.0845
t = -2.117
Thus, the two brands of batteries have test statistic result is -2.117
Your question is incomplete, but most probably your full question was
Suppose you are testing to see if there is a difference in population mean lifetime of two brands (1,2) of batteries. Random samples of batteries are taken for each brand and the following data are recorded:
Sample 1: n1= 16, X1 = 210, s1= 20
Sample 2: n2= 21, X2 = 225, s2= 23
What is the test statistic assuming unequal population standard deviations?
Learn more about test statistic here:
brainly.com/question/14911313
#SPJ4
let f : a → b and g : b → c be functions. prove the following statements. (a) if g ◦ f is injective then f is injective. (b) if g ◦ f is surjective then g is surjective
Answers
(a) The equilibrium point is approximately (26, 26) where quantity (x) and price (P) are both 26.
(b) Consumer surplus ≈ 434
(c) 434 dotars (d) -1155 dotars.
To calculate the deadweight loss, we need to find the area between the supply and demand curves from the equilibrium quantity to the quantity \(x_C\).
To find the equilibrium point, we need to set the demand and supply functions equal to each other and solve for the quantity.
Demand function: D(x) = 61 - x
Supply function: S(x) = 22 + 0.5x
Setting D(x) equal to S(x):
61 - x = 22 + 0.5x
Simplifying the equation:
1.5x = 39
x = 39 / 1.5
x ≈ 26
(a) The equilibrium point is approximately (26, 26) where quantity (x) and price (P) are both 26.
To find the point (\(x_C\), \(P_C\)) where the price ceiling is enforced, we substitute the given price ceiling value into the demand function:
P_C = $30
D(\(x_C\)) = 61 - \(x_C\)
Setting D(\(x_C\)) equal to \(P_C\):
61 - \(x_C\) = 30
Solving for \(x_C\):
\(x_C\) = 61 - 30
\(x_C\) = 31
(b) The point (\(x_C\), \(P_C\)) is (31, $30).
To calculate the new consumer surplus, we need to integrate the area under the demand curve up to the quantity \(x_C\) and subtract the area of the triangle formed by the price ceiling.
Consumer surplus
\(=\int[0,x_C] D(x) dx - (P_C - D(x_C)) * x_C\\=\int [0,x_C] (61 - x) dx - (30 - (61 - x_C)) * x_C\\=\int [0,31] (61 - x) dx - (30 - 31) * 31[61x - (x^2/2)]\)
evaluated from
0 to 31 - 31[(61*31 - (31²/2)) - (61*0 - (0²/2))] - 31[1891 - (961/2)] - 311891 - 961/2 - 311891 - 961/2 - 62/2(1891 - 961 - 62) / 2868/2
Consumer surplus ≈ 434
(c) The new consumer surplus is approximately 434 dotars.
To calculate the new producer surplus, we need to integrate the area above the supply curve up to the quantity \(x_C\).
Producer surplus \(= (P_C - S(x_C)) * x_C - \int[0,x_C] S(x) dx(30 - (22 + 0.5x_C)) * x_C - \int[0,31] (22 + 0.5x) dx(30 - (22 + 0.5*31)) * 31 - [(22x + (0.5x^2/2))]\)
evaluated from 0 to 31(30 - 37.5) * 31 - [(22*31 + (0.5*31²/2)) - (22*0 + (0.5*0²/2))](-7.5) * 31 - [682 + 240.5 - 0](-232.5) - (682 + 240.5)(-232.5) - 922.5-1155
(d) The new producer surplus is -1155 dotars. (This implies a loss for producers due to the price ceiling.)
To know more about function click-
http://brainly.com/question/25841119
#SPJ11
Find sin(), cos(3), and tan cos(x) =- sin()- cos()- tan()- from the given information. 180° < x < 270°
Answers
We need to find the values in the equation above of `sin(x) = sqrt(3)/2`, `cos(3) = -1/2`, and `tan( ) = sqrt(2)/2`.
Given that `180° < x < 270°`.
We need to find the values of `sin(x)`, `cos(3)`, and `tan` when `cos(x) = -sin( ) - cos( ) - tan( )`.
Let's find `sin(x)` first.Therefore, `sin(x) = sqrt(1 - cos^2(x))`
From the given data, `cos(x) = -sin( ) - cos( ) - tan( )`
Put the value of `cos(x)` in the equation above:`cos(x) = -sin( ) - cos( ) - tan( )`
We know that `cos(x) = -sqrt(2)/2` (in 3rd quadrant, where `180° < x < 270°`).
Therefore, `-sqrt(2)/2 = -sin( ) - cos( ) - tan( )`
Also, we know that `sin(45°) = cos(45°) = sqrt(2)/2`.So, `sin( ) = sqrt(2)/2` and `cos( ) = sqrt(2)/2`.
Therefore, `-sqrt(2)/2 = -sqrt(2)/2 - sqrt(2)/2 - tan( )`
Simplifying the equation, we get:`tan( ) = sqrt(2)/2`
Now, we know that `cos(3) = cos(2 + 1)`.
Using the identity `cos(2θ) = cos^2(θ) - sin^2(θ)` and `cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)`,
we can find the value of `cos(3)`.`cos(3) = cos(2 + 1) = cos(2)cos(1) - sin(2)sin(1) = [cos(1)]^2 - [sin(1)]^2 - 2sin(1)cos(1)sin(1) = cos^2(1) - 2sin(1)cos(1) - sin^2(1)`
We know that `sin^2(1) + cos^2(1) = 1`.So, `cos^2(1) = 1 - sin^2(1)`
Therefore, `cos(3) = (1 - sin^2(1)) - 2sin(1)cos(1) - sin^2(1) = 1 - 2sin^2(1) - 2sin(1)cos(1)`
We know that `tan( ) = sqrt(2)/2`.
Using the identity `tan(θ) = sin(θ)/cos(θ)`,
we can find the value of `sin( )`.`tan( ) = sin( )/cos( )`
We know that `sin( ) = sqrt(2)/2` and `cos( ) = sqrt(2)/2`.
Therefore, `sqrt(2)/2 = sqrt(2)/2cos( )`.So, `cos( ) = 1`.
Therefore, `sin( ) = tan( )cos( ) = sqrt(2)/2 x 1 = sqrt(2)/2`.
Hence, `sin(x) = sqrt(1 - cos^2(x))
= sqrt(1 - (-sqrt(2)/2)^2)
= sqrt(3)/2``cos(3)
= 1 - 2sin^2(1) - 2sin(1)cos(1)
= 1 - 2(sin(45°))^2 - 2sin(45°)cos(45°)
= 1 - 2(1/2) - 2(1/2)(1/2)
= 1 - 1 - 1/2
= -1/2``tan( )
= sqrt(2)/2``sin( )
= tan( )cos( )
= sqrt(2)/2`
Hence, `sin(x) = sqrt(3)/2`, `cos(3) = -1/2`, and `tan( ) = sqrt(2)/2`.
To know more about equation, visit:
https://brainly.com/question/29538993
#SPJ11
Problem 1 (Exercise 8.3.1) Each character in a password is either a digit [0-9], lowercase letter [a-z] or special characters
{ ∗ , & , $,#}. Compute the number of passwords that satisfy the given constraints. a) Strings of length 6 . Characters can be special characters, digits, or letters, with no repeated characters. b) Strings of length 6. Characters can be special characters, digits, or letters, with no repeated characters. The first character cannot be a special character.
Answers
Answer:
SUGAR is not surprising to me because I don't like it because it gives me catarrh to do it for a few days ago