The angle 01 is located in Quadrant II, and cos(01)= -12/19 What is the value of sin(01)?
Answers
Given that angle θ1 is located in Quadrant II; and
\(\cos (\theta_1)=-\frac{12}{19}\)Recall from trigonometric identity:
\(\begin{gathered} \cos \theta=\frac{\text{Adjacent}}{\text{Hypotenuse}} \\ \implies\text{Adjacent}=-12 \\ \text{Hypotenuse}=19 \end{gathered}\)We find the value of Opposite using the Pythagoras theorem.
\(\begin{gathered} \text{Hyp}^2=\text{Opp}^2+\text{Adj}^2 \\ 19^2=\text{Opp}^2+(-12)^2 \\ \text{Opp}^2=19^2-(-12)^2 \\ \text{Opp}^2=361-144 \\ \text{Opp}^2=217 \\ \text{Opp}=\sqrt[]{217} \end{gathered}\)Therefore, the value of sin(θ1) will be:
\(\begin{gathered} \sin (\theta_1)=\frac{\text{Opposite}}{\text{Hypotenuse}} \\ =\frac{\sqrt[]{217}}{19} \end{gathered}\)Note: Sine is positive in Quadrant II.
Related Questions
25 POINTS!!! answer the question and ill give brainliest if your correct.
Answers
Answer:
qwertyuiopplkhgf12345678rrd6
Step-by-step explanation:
Preciate ittttttttttt
Work out the area of the semicircle
Answers
Step-by-step explanation:
Area of semi-circle = 1/2(πr^2)
= 1/2 ( 3.142 x 2^2)
= 1/2 ( 3.142 x 4)
= 1/2 (12. 568)
= 6.28
What is the value of the expression? Do not use a calculator.
tan
Tan2pie/3
Answers
The value of tan 2π/3 without calculator is -√3.
What is the value of tan 2π / 3 without calculator?The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;
the value of π = 180 degrees
So we can replace the value of π in the function with 180 degrees as follows;
tan ( 2π / 3) = tan (2 x 180 / 3)
tan (2 x 180 / 3) = tan (2 x 60)
tan (2 x 60) = tan (120)
tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.
tan (120) = - tan (180 - 120)
= - tan (60)
= -√3
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y=-0.024x^2+0.0791x+4.873
Answers
The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol
The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.
The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.
The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.
The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.
The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.
To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.
Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.
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Help pls I really need help
Answers
The functions for this problem are classified as follows:
a) q(x) is an odd function.
b) r(x) is an even function.
What are even and odd functions?In even functions, we have that the statement f(x) = f(-x) is true for all values of x. -> meaning that r(x) is an even function.In odd functions, we have that the statement f(-x) = -f(x) is true for all values of x. 0> meaning that q(x) is an odd function.If none of the above statements are true for all values of x, the function is neither even nor odd.More can be learned about odd and even functions at https://brainly.com/question/2284364
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Been stuck on this question please help me.
Answers
Answer:
Step-by-step explanation:
Using the Pythagorean Theorem, we know the hypotenuse is 2\(\sqrt{26}\)
sin = Opp/hyp ----> \(\frac{5}{2\sqrt26}\)
csc = hyp/opp -----> \(\frac{2\sqrt{26} }{5}\)
cot = adj/opp -------> \(\frac{7}{5}\)
TRUE OR FALSE
1.The rule applied in equation a2 + a5 = a7 is product rule
2.The product of a and a is 2a.
3.To solve the expression (2a)3, product rule should be applied?
4.The product of -3 and 9x is -27x
5.We can NOT multiply polynomials if the terms are not similar.
6.We can multiply polynomials even if the terms are not similar.
7.The product of 5x and (2x +2) has two terms.
8.In sovling the expression 4x(2x + 2), using power rule is the first step.
9.The product of -2a and -10a9 is -20a10
10.To solve the expression (3a3)9, power rule should be applied.
Answers
1. True
2. False
3. False
4. True
5. False
6. True
7. True
8. False
9. True
10. True
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time. (a) Find the probability that exactly 10 flights arrive on time.
Answers
Probability that exactly 10 flights arrive on time is 53.33%.
Given that,
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.
Recently, Southwest Air had the best rate with 80% of its flights arriving on time.
Total number flights in sample = 15
Probability that exactly 10 flights arrive on time is,
P = 10/15 × 80%
= 0.5333
= 53.33%
Hence the required probability is 53.33%.
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Ordering Decima
A) Write each set of decimals in increasing order.
1)
14.78, 46.1, 25.5, 14.8, 32.32
2)
37.44, 9.32, 16.49, 9.67, 37.91
Answers
Increasing order :
1) 14.78 , 14.8 , 25.5 , 32.32 , 46.1
2) 9.32 , 9.67 , 16.49 , 37.44 , 37.91
What is ascending order ?
Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order.The base-10 number system is known as the decimal system.The accepted method for representing both integer and non-integer numbers is the decimal numeral system.It is the extension to non-integer numbers.Decimal notation is the term used to describe the method of representing numbers in the decimal system.To learn more about ascending order refer :
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Help very urgent!!!!
Answers
I think it's B
But it could be C
Or maybe A
Perhaps it might be D
Step-by-step explanation:
A phone receives signals from a transmitter that is 13km west and 21km south of it. what is the bearing from the phone to the transmitter? give your answer to the nearest degree
Answers
The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.
To determine the bearing from the phone to the transmitter, we can use trigonometry.
The bearing is typically measured clockwise from the north direction.
Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.
The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.
Using the tangent function, we can calculate the angle:
tangent(angle) = (opposite side) / (adjacent side)
tangent(angle) = 21 km / 13 km
Taking the inverse tangent (arctan) of both sides, we find:
angle = arctan(21 km / 13 km)
Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.
However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:
bearing = 90 degrees - 58.57 degrees
Calculating this, we find the bearing to be approximately 31.43 degrees.
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Suppose a sample of radioactive substance weighs 40 mg. One year later the sample weighs 29.5 mg. What is the half life of the substance?
Answers
Answer:Use the radioactive decay formula: A = Ao*2^(-t/h), where:
A = Amt of remaining after t time
Step-by-step explanation:
Ao = Initial amt
t = time of decay
h = half-life of the substance
in this problem
A = 21.5
Ao = 38
t = 1 year
h = half life of substance
The between-treatments variance is based on a weighted sum of squared differences between the ____________________________________________________. population variances and the overall mean of the data set population means and the overall mean of the data set sample means and the overall mean of the data set sample variances and the overall mean of the data set
Answers
Answer:
Sample means and the grand mean
Step-by-step explanation:
The total sum of squares present in the sample can be partitioned into two parts.
1) Within sum of squares ( also called error sum of squares)
2) Between sum of squares
The first part is the sum of squares of deviations of the observations from the sample mean and is called the within sum of squares ( also called error sum of squares).
The second part is the weighted sum of the square of deviations of the sample means from the grand mean and is called between sum of squares.
Thus symbolically
Totastal SS = Within SS + Between SS
BC has endpoints at B(2, 9) and C(8, 7). Find the midpoint M of BC.
Answers
Answer:
Midpoint, M is (5,8)
Step-by-step explanation:
To find the midpoint, average the x's (add and divide by2) then average the y's.
The x's are the first numbers (2+8)/2 is
10/2 which is 5.
The y's are the second numbers in the parentheses, (9+7)/2 is 16/2 which is 8.
So the x of the midpoint is 5 and the y is 8.
The midpoint is (5,8)
f(x)=x+2 g(x)=3x^2-5 find (f•g)(x)
Answers
9514 1404 393
Answer:
(f•g)(x) = 3x^3 +6x^2 -5x -10
Step-by-step explanation:
(f•g)(x) = f(x)•g(x) = (x +2)(3x^2 -5)
= x(3x^2 -5) +2(3x^2 -5) . . . . . . . . use the distributive property
= 3x^3 -5x +6x^2 -10 . . . . . . . and again
(f•g)(x) = 3x^3 +6x^2 -5x -10 . . . . put in standard form
answer only if you know it ty.
Answers
Answer:
\(\Huge\boxed{x<3}\)
Step-by-step explanation:
-9.5x-1.5>-30
Hello There!
So once again we want to isolate the variable using inverse operations
To get rid of the 1.5 we add 1.5 to each side
-1.5+1.5 cancels out
-30+1.5=-28.5
now we have
-9.5x>-28.5
to get rid of the -9.5 we divide each side by -9.5
-9.5x/-9.5=x
-28.5/-9.5=3
Remember we are dividing by a negative number so we have to flip the inequality sign
We're left with
x<3
Answer:
Solution bayan imnot aure
circumference = 4.1cm what is the diameter
Answers
3x+8=2x+7
What the anwser pls solve em out
Answers
Answer: hii
Your answer is x= −1Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Hopefully this helps you
- Matthew
Selected financial data for Amberjack Corporation follows.
Answers
We provide recruitment solutions for your Future Talent and Volume Hiring needs. Platform. Services.
Define Decimal place?
A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32 etc. In the figure given above, the decimal point separates the whole number 42 from the fractional part . In words, it is written as Forty Two Point Eight Five.One decimal place to the left of the decimal point is the ones place. One decimal place to the right of the decimal place is the tenths place. Keep your eye on the 9 to see where the decimal places fall.Rounding a decimal number to two decimal places is the same as rounding it to the hundredths place, which is the second place to the right of the decimal point. For example, 2.83620364 can be round to two decimal places as 2.84, and 0.7035 can be round to two decimal places as 0.70.To learn more about decimal place refers to:
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odd numbers between 20 and 46 that are mutiples of 3
Answers
Answer:
h
Step-by-step explanation:
h
Answer:
they should be 21 27 33 39 45
Step-by-step explanation:
:)
3. A survey of 1000 adults uncovered some interesting housekeeping secrets. When unexpected company comes, where do we hide the mess/ The survey showed that 68% of the respondents toss their mess in the closet, 23% shove things under the bed, 6% put things in the bathtub, and 3% put the mess in the freezer (!!!). Make a circle graph to display this information.
Answers
The circle graph shows that most respondents (68%) hide their mess in the closet, while a significant minority (23%) shove things under the bed. Only a small percentage of respondents put things in the bathtub (6%) or the freezer (3%), with the freezer being the least popular option.
EquationsTo create a circle graph for this survey data, we need to calculate the percentage of respondents for each category and then represent it as a fraction of the total 360 degrees of the circle.
Percentage of respondents who toss their mess in the closet: 68%
Percentage of respondents who shove things under the bed: 23%
Percentage of respondents who put things in the bathtub: 6%
Percentage of respondents who put the mess in the freezer: 3%
To convert these percentages into fractions of the total 360 degrees, we can multiply each percentage by 360/100:
Fraction of circle for closet: 68% x 360/100 = 244.8 degrees
Fraction of circle for under the bed: 23% x 360/100 = 82.8 degrees
Fraction of circle for bathtub: 6% x 360/100 = 21.6 degrees
Fraction of circle for freezer: 3% x 360/100 = 10.8 degrees
We can then draw a circle with 360 degrees and divide it into four sections based on these fractions. We can label each section with the corresponding category and the fraction/percentage it represents.
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Mark got 18 out of 25 questions correct on his science test. What percent of the questions did he get incorrect
Answers
Answer:
28%. mark got 28% WRONG
Step-by-step explanation:
another way to write 18/25 is 18 divided by 25. 18/25=0.72. 0.72 as a percentage is 72%. You are asking what percent he got wrong. 100%-72%=28%. Mark got 28% wrong/
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is
shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²
= √1 + 4
= √5
-
What error, if any, did Heather make?
A. She substituted incorrectly into the distance formula.
B. She subtracted the coordinates instead of adding them.
C. She made a sign error when simplifying inside the radical.
OD. She made no errors.
Answers
The distance between points R and S is \(\sqrt{ (185)\). The correct answer is D. She made no errors.
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²= √1 + 4
= √5
The error is with the order of subtraction in the formula for the distance between two points.
Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.
The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;
dAB = \(\sqrt{ ((x^2 - x1)^2 + (y2 - y1)^2)\)
Comparing the given question with the formula above, we have;
A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.
Therefore, we have;
RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)
On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS
= \(\sqrt{ (8^2 + 11^2)RS\)
= \(\sqrt{ (64 + 121)RS\)
= \(\sqrt{ (185)\)
Therefore, the distance between points R and S is \(\sqrt{ (185)\).
From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.
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can someone help me on number 3
Answers
Answer:
\(P= 49.2m\), \(A=140.4m^2\)
Step-by-step explanation:
The diagonal splits the rectangle into two right triangles so we can use Pythagorean theorem to find the length of the missing side.
Pythagorean theorem states that a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the other two sides
So we can label our unknown side as x
x^2 + 9^2 = 18^2
x^2 + 81 = 324
Subtract 81 from both sides to isolate the x
x^2 = 243
Find the square root of both sides
√x^2 = √243
x ≈ 15.6
(The instruction said round to the nearest 10th).
So now we know
l = 15.6m and w = 9m
P= 2l + 2w
A= lw
P= 2(15.6) + 2(9)
P= 31.2 + 18
P= 49.2m
A=15.6(9)
A=140.4m^2
Find the rank of the matrix [
2 − 1 − 3 − 1
1 2 3 − 1
1 0 1 1
0 1 1 − 1
]
Answers
The rank of the matrix is 3, since there are three linearly independent rows.
The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.
To find the rank of the matrix:
[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]
We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.
\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)
This gives us the following matrix:
[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]
We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.
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if a shape is smaller then its original form does that means the scale factor is bigger or smaller
Answers
Answer: If a shape is smaller than its original it means the scale factor is smaller.
Step-by-step explanation:
Let's say that there was a square with all the side lengths being 2.
If we scale it by a half we get 2 x 1/2 which is 1
The smaller scale factor made the side smaller
Now if we scale it by 2 we get 2 x 2 which is 4
The bigger scale factor made the side bigger
If the reaction starts with 35.2 grams of Ca(OH)2 and 20.7 grams of H2SO4, find the limiting reactant and show your work to support your decision.
Answers
The limiting reactant in the reaction between 35.2 grams of Ca(OH)₂ and 20.7 grams of H₂SO₄ is H₂SO₄. This was determined by calculating the moles of each reactant and comparing them to the stoichiometric ratio of the reaction.
To determine the limiting reactant, we need to calculate the amount of product that can be formed from each reactant.
First, let's write the balanced chemical equation for the reaction between Ca(OH)₂ and H₂SO₄
Ca(OH)₂ + H₂SO₄ → CaSO₄ + 2H₂O
Next, let's calculate the amount of product that can be formed from each reactant
For Ca(OH)₂:
Molar mass of Ca(OH)₂ = 74.09 g/mol
1 mole of Ca(OH)₂ reacts with 1 mole of H₂SO₄ to produce 1 mole of CaSO₄
Moles of Ca(OH)₂ = 35.2 g / 74.09 g/mol = 0.475 mol
Moles of H₂SO₄ = 20.7 g / 98.08 g/mol = 0.211 mol
Moles of CaSO₄ that can be formed from Ca(OH)₂ = 0.475 mol
Moles of CaSO₄ that can be formed from H₂SO₄ = 0.211 mol
For H2SO4
Molar mass of H₂SO₄ = 98.08 g/mol
Moles of CaSO₄ that can be formed from H2SO4 = 0.211 mol
Since the amount of CaSO₄ that can be formed from Ca(OH)₂ is greater than the amount that can be formed from H₂SO₄, Ca(OH)₂ is the excess reactant and H₂SO₄ is the limiting reactant.
Therefore, H₂SO₄ is the limiting reactant
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5/8 divided by 3/4?
Pls answer I’ll give u brainliest
Answers
Answer:0.833333333
Step-by-step explanation:
5/8 divided by 3/4 is just 5/8 x 4/3 which is 0.833333333
Divide: 5/8 : 3/4 = 5/8 · 4/3 = 5 · 4/8 · 3 = 20/24 = 4 · 5 /4 · 6 = 5/6
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/
4 is 4/3) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 4 gives 5/6.
In words - five eighths divided by three quarters = five sixths.
which of the following plots represents the residuals for the data shown below?
Answers
From the graph, the observed values are
x y
1 1
2 3
3 5
4 7
5 8
6 9
7 12
8 16
The equation of the best line of fit is shown below
y = 1.94x - 1.107
The predicted values and residuals are
x y' y - y'
1 0.833 0.167
2 2.773 0.227
3 4.713 0.287
4 6.653 0.347
5 8.593 - 0.593
6 10.533 - 1.533
7 12.473 - 0.473
8 14.413 1.587
By comparing the values of x and y - y',
the correct option is A
i neeeeed help with this one
Answers
Answer:
All the terms are alike.
Step-by-step explanation:
Answer:
its the 2nd one
Step-by-step explanation:
Hopefully this helped, if not HMU and I will get u a better answer.
-Have a great day! :)