What is cos(338)? Solve by hand, no calculator.
Correct answer gets BRAINLIEST.
Answers
9514 1404 393
Answer:
0.927184
Step-by-step explanation:
Assuming you want cos(338°), it is equal to cos(22°). This value is an irrational root of a 26th-degree polynomial. (Neither the polynomial, nor the root are easy to find by hand.)
The values of trig functions for 30° and 45° are well-known, as are half-angle and angle sum/difference formulas. The nearest angle for which cosine is relatively easy to find is 22.5°. A 2nd-order Maclaurin series expansion of the cosine function about that angle gives the approximation ...
cos(x) ≈ cos(π/8)(1 -π²/128) +π/8·sin(π/8) +(π/8·cos(π/8) -sin(π/8))x -1/2·cos(π/8)x²
For your angle of 22°, the value of x needed in this expression is 11π/90. The values of cos(π/8) and sin(π/8) are the irrational numbers ...
cos(π/8) = √(2 +√2)/2 ≈ 0.92387953
sin(π/8) = √(2 -√2)/2 ≈ 0.38268343
If you use the approximation pi ≈ 355/113, both for the above formula and for the angle of interest, this reduces to the sum ...
cos(22°) ≈ 71√(2-√2)/16272 +132383951√(2+√2)/264777984
This would be tedious to calculate by hand, but is not impossible. The value this sum produces will be correct when rounded to 7 decimal digits.
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Before calculators, trig function values were found in published tables. These days, tables are available on-line. Previously, they were published in books, usually along with information that helped with interpolation between table values, when necessary. The attachment shows a portion of an online cosine table suitable for answering your question.
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Additional comment
Before calculators, mathematicians spent lifetimes calculating accurate trig tables. For all but a very few angles, the cosine function of rational degree values will be an irrational number, as it is for cos(22°).
Related Questions
5x-2 = -2+5x. a) infinite solution b) no solution c) 1 solution
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The given equation is :
[tex]5x - 2 = - 2 + 5x[/tex]here, 5x is on both sides, so they cancel out. hence value of x can't be determined.
so, the equation have no solution.
correct choice is B.) no solution
5x -2 = -2 + 5x
Add 2 to both sides to get 5x = 5x
Because this is true then any value of x will still make the equation true.
This means there are infinite solutions.
Answer: a) infinite solution
Kevin's earnings vary directly with the number of hours he works. Suppose that he worked 7 hours yesterday and earned $112. How much will he earn today if he works 10 hours?
Answers
Answer:
$160 in 10 hours
Step-by-step explanation:
We know that Kevin earns $112 for working 7 hours. To find the answer for 10 hours, we need to find the unit rate.
Divide 112÷7= $16 for every 1 hour he works.
Now, we can use the unit rate to find the amount earned for 10 hours.
16×10= $160
Evaluate t-7 for t =20
Answers
20 - 7 = 13
ANSWER: 13
find the mean of, -21,-24,-37,-52,-56
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Answer:
-38
Step-by-step explanation:
(-21 + -24 + -37 + -52 + - 56)/5 = -38
Find the ordered pair (x,y) that satisfies the system of equations
x + y = 15
x - y = 3.
Answers
Answer:
(9, 6)
Step-by-step explanation:
add equations together: (x + y = 15) + (x - y = 3) --> x + x + y - y = 15 + 3 --> 2x = 18
isolate the variable: 2x/2 = 18/2 --> x = 9, so the x-coordinate is 9
substitute 9 in x's place in one of the equations: 9 + y = 15
solve for y: y = 15 - 9 --> y = 6, so the y-coordinate is 6
combine x and y coordinates together: (9, 6)
In a parking lot there are only white cars, green cars, and red cars. If one car is selected at random from the lot, the probability that the selected car would be a green car is one sixth and the probability that it would be a red car is one eighth. What is the probability that it would be a white car?
Answers
Answer:
17/24
Step-by-step explanation:
With the understanding that the three given cars form three mutually exhaustive and disjoint sets i.e., they form the partition of sample space, the probability that the selected car would be white is [tex]\frac{17}{24}[/tex].
What is partition of a sample space?A collection of sets B1, B2, . . . , Bn is said to partition the sample space if the sets (i) are mutually disjoint and (ii) have as union the entire sample space.
In this question, we take three sets - set of all red cars, white cars and green cars.
A car can be either red, white or green. Thus they are mutually exclusive.
Also, let the cars in parking lot be the sample space. Every car we pick has to be of one of the three colors. This imply that the three sets of the three cars are mutually exhaustive.
P(selecting a red car) + P (selecting a green car) + P(selecting a white car) = 1
[tex]\frac{1}{8} + \frac{1}{6} + P(selecting\ a\ white\ car) = 1\\\\ P(selecting\ a\ white\ car) = \frac{17}{24}[/tex]
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A businessman bought 130 bundle of dalo for $1040.00 he made a profit of $2.00 for each bundle that he sold .How much would be the cost of each bundle bought by the businessman??
Answers
Answer: $10 each
Step-by-step explanation:
130*2
260+1040
=1300
1300/130
=10
2x - 6y = 6
6x - 4y = 2
Answers
Answer:
x = - 3/7
y = - 8/7
Step-by-step explanation:
(2x - 6y = 6)/2 =
x - 3y = 3
x = 3y + 3
Substitution:
6 (3y +3) - 4y = 2
18y + 18 - 4y = 2
14y = -18+2
y = -16/14
y = - 8/7
Substitution:
x = 3(-8/7)+3
x = -24/7 + 3
x = -3/7
9514 1404 393
Answer:
(x, y) = (-3/7, -1 1/7)
Step-by-step explanation:
We can divide each equation by 2 and subtract the constant to put them in general form.
x -3y -3 = 0
3x -2y -1 = 0
This form facilitates use of the "cross multiplication method" of solution. That method tells us ...
1/d1 = x/d2 = y/d3
where the differences d1, d2, d3 are the differences of cross-products:
d1 = 1(-2) -(3(-3)) = 7
d2 = -3(-1) -(-2(-3)) = -3
d3 = -3(3) -(-1(1)) = -8
Then the solutions are ...
x = d2/d1 = -3/7
y = d3/d1 = -8/7
(x, y) = (-3/7, -8/7)
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Additional comment
When the general form equations ax+by+c=0 and dx+ey+g=0 have their coefficients written in two rows: (note the repeated first coefficient)
a, b, c, ad, e, g, dThe pattern in the cross-differences is relatively easy to see:
d1 = ae -dbd2 = bg -ecd3 = cd -gaThe expressions for the solution values, (x, y) = (d2/d1, d3/d1), are substantially identical to those of Cramer's method.
-7.532 devided by (-2.69)
Answers
Find the slope intercept form of an equation of the line perpendicular to the graph y = 2/3x - 5/3 and passing through the point (0, 6).
The perpendicular slope is:
State the y value of the y-intercept of the perpendicular line:
The equation of the perpendicular line is:
Answers
Answer:
Perpendicular slope: -3/2
Y-value of the y-intercept: 6
Linear equation of the perpendicular line: y = -3/2x + 6
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes, which means that multiplying the slopes of both lines will result in -1.
Given the linear equation, y = 2/3x - 5/3, and the point, (0, 6):
Let m1 = slope of line 1
m2 = slope of the other line
Since the slope of y = 2/3x - 5/3 is 2/3, then the other line must have a slope of -3/2 because:
m1 × m2 = -1
[tex](\frac{2}{3}) (-\frac{3}{2}) = -1[/tex]
Therefore, the slope of the other line (m2) = -3/2.
The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The given point has coordinates (0, 6), which means that it is the y-intercept. Its y-coordinate, (b) = 6.
Therefore, given the slope m = -3/2, and the y-value of the y-intercept, b = 6, then the equation of the perpendicular line is: y = -3/2x + 6.
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graph the line with slope 2/3 and y-intercept-6
Answers
Use the graph to determine the y intercept
Answers
Answers:
y intercept: 9zeros: -3, -1, 1, 3===============================================
Explanation:
The y intercept is where the curve crosses the y axis. The curve appears to do so just below y = 10, so y = 9 seems like a good estimate. I'm basing this off of the answer choices given. The y intercept always occurs when x = 0.
The zeros, aka roots or x intercepts, are where the curve crosses or touches the x axis. This occurs in four locations: x = -3, x = -1, x = 1 and x = 3. The x intercepts always occur when y = 0.
make up two word problems on any multiplicatiob table of your choice. remember to give your answer in a sentence
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2. At the shop, pencils are $2 each. Chloe wants to buy 12 pencils. How much does it cost altogether?
(Answer: $24)
Simplify by distributing And/Or Combining Like Terms -3-5x-5y+8x+7y+8
Answers
Answer:
3x+5+2y
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
[tex] = > 5 + 3x + 2y[/tex]
3. Let : (0,1] → R be defined by 0 ifr> Let e > 0. Prove that there exists a partition, P. of (0,1) with S(f,P) -s(f,p)<€
Answers
Step-by-step explanation:
defined by 0 ifr> Let e > 0. Prove that there exists a partition, P. of (0,1) with ... - did not match any documents.
Suggestions:
9y''-12y'+4y=0 y1=e^2x/3 by Reduction Order
Answers
Answer:
[tex]9 \frac{ {d}^{2}y }{ {dx}^{2} } - 12 \frac{dy}{dx} + 4y = 0) \div 9 \\ \frac{ {d}^{2}y }{ {dx}^{2} } - \frac{4}{3} \frac{dy}{dx} + \frac{4}{9} y = 0 \\ y_{1}(x) = {e}^{ \frac{2}{3} x} \\ p(x) = - \frac{4}{3} \\ y_{2}(x) = y_{1}(x) \int \frac{ {e}^{ - \int \: p(x)dx} }{ {(y_{1}(x))}^{2} } dx \\ = {e}^{ \frac{2}{3} x} \int \frac{ {e}^{ \int \: \frac{4}{3} dx} }{ { ({e}^{ \frac{2}{3} x})}^{2} } dx \\= {e}^{ \frac{2}{3} x} \int \frac{ {e}^{ \frac{4}{3} x} }{ { {e}^{ \frac{4}{3} x}}} dx \\ = {e}^{ \frac{2}{3} x} \int dx \\ \boxed{y_{2}(x) =x{e}^{ \frac{2}{3} x}}[/tex]
______ is 1 less than 168
Answers
167 is 1 less than 168
1 less = -1 of the given number
If (x-3) ²=16, find the positive value of x.
Answers
7
Step-by-step explanation:
(x - 3)² = 16
x² - 6x + 9 = 16
x² - 6x + 9 - 16 = 0
x² - 6x - 7 = 0
(x - 7)(x + 1)
x = 7 \/ x = -1
so positive value of x = 7
Please help me on my homework
Answers
6 is a whole number so the answer is 6
20 out of 22 students passed the quiz. What percentage of students passed the quiz?
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Answer:
A.T.Q
Let x number of passed students
x% of 22 = 20
x/100 × 22 = 20
x/100 = 20/22
x = 20/22 × 100
x = 90.91
Step-by-step explanation:
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here are three different recipes for orangey- pineapple juice. Two of these mixtures taste the same and one tastes different.
Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice
Recipe 2: Mix 6 cups of orange with 9 cups of pineapple juice
Recipe 3: Mix 9 cups of orange with 12 cups of pineapple juice
Which two recipes will taste the same, and which one will taste different? Explain or show your reasoning
Answers
Answer:
recipe 1 and recipe 2 will taste the same while recipe 3 will taste different
Step-by-step explanation:
Let's look at the Mix ratio
for recipe 1 the mix ratio is 2:3
recipe 2 ratio is 2:3
and recipe 3 ratio is 3:4
absolute value of 3(x-2)=12
Answers
Solve and check the equation.[tex]\frac{x}{10}=\frac{5x}{7} -43[/tex]
Answers
Answer:
x = 70
Step-by-step explanation:
Step 1: Simplify both sides of the equations.
[tex]\frac{x}{10} = \frac{5x}{7}-43[/tex] [tex]\frac{1}{10}x=\frac{5}{7}x-43[/tex]Step 2: Subtract 5/7x from both sides.
[tex]\frac{1}{10}x- \frac{5}{7}x = \frac{5}{7}x - 43 - \frac{5}{7}x[/tex] [tex]\frac{-43}{70}x = -43[/tex]Step 3: Multiply both sides by 70/(-43).
[tex]\frac{-43}{70}x * \frac{70}{-43} = -43*\frac{70}{-43}[/tex] [tex]x = 70[/tex]Step 4: Check if solution is correct.
[tex]\frac{(70)}{10}=\frac{5(70)}{7} -43[/tex] [tex]7 = \frac{350}{7} - 43[/tex] [tex]7 = 50 - 43[/tex] [tex]7 = 7[/tex]Therefore, x = 70.
the length of 6 identical iron rods is 48 unit what will be the total length of 9 such rods
Answers
The total length of 9 rods will be 72 units.
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
The length of 6 identical iron rods is 48 unit.
Now,
Since, the length of 6 identical iron rods is 48 unit.
Hence, the length of 9 identical iron rods = 9 × 48 / 6
= 9 × 8
= 72 units
Thus, The total length of 9 rods will be 72 units.
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Question 8 (1 point)
A company laid off 80% of its work force. The number of employees after the layoff is 400. How many employees were
there before the layoff?
15,000
Oь
O
Od
2000
3600
2200
Next Page
Once you click Next Page you will not be able to change your answer
Answers
Step-by-step explanation:
The number of employees before the layoff = 2000
What is percentage?"It is a number can be expressed as a fraction of 100."
For given question,
Let 'n' be the the number of employees before layoff.
A company laid off 80% of its work force.
The number of employees after the layoff is 400.
The number of employees after the layoff would be,
⇒ n - (80 percent of n) = 400
[tex]\Rightarrow n-(n\times \frac{80}{100} )=400\\\\\Rightarrow n[1-0.8]=400\\\\\Rightarrow n\times 0.2=400\\\\\Rightarrow n=2000[/tex]
Therefore, the number of employees before the layoff = 2000
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At the Roseville Middle School Spring Festival, Ellen is running the egg-dying station. She needs 5 tablespoons of vinegar for every 2 color tablets she uses. Ellen plans to use 16 color tablets.
How many tablespoons of vinegar will Ellen need?
Answers
Answer:
40 table spoons
Step-by-step explanation:
We need to divide 16 by 2 because it says for every 2 color tablets she need 5 table spoons of vinegar
16/2 = 8
8 x 5 = 4
30 inches to 1 feet simplify
Answers
Answer:
30 inches into feet
12 inches = 1 feet
12in = 1ft
24in = 2ft
30 - 24 = 6
The answer is 2 ft and 1/2
or 2 ft and 6 inches
***hope this helps
Step-by-step explanation:
Please answer! No links!!!
Picture is included
Answers
Answer:
10x+276
Step-by-step explanation:
multiply length times width to get the area
12(5/6x +23)
simplify
10x +276
i hope your test is going well <3
is there anyone or does anyone know where i can get help for my statistics exam tomorrow, i didnt study at all and im doomed now?
Answers
Answer:
Quizziz (Another educational site) or asking questions about the Exam/Quiz on Brainly.
Step-by-step explanation:
If c = 5, what is the value of 9 + c?
Answers
Answer:
The value of 9 + c= 14 because 9 + 5=14