An equation is shown, where 0 < x < 90 and 0
cos (x) = sin(yº)
Create an expression for x in terms of y.
Answers
The expression of x in terms of y for the case when cos(xº) = sin(yº) is x° = cos^(-1)sin(y°)
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
For this case, we have to express x in terms of y for [tex]\cos(x^\circ) = \sin(y^\circ)[/tex]
Since 0 < x < 90, and 0 < x < 90 so taking inverse cosine gives:
[tex]x^\circ= \cos^{-1}(\sin(y^\circ))[/tex]
Thus, the expression of x in terms of y for the case when cos(xº) = sin(yº) is [tex]x^\circ= \cos^{-1}(\sin(y^\circ))[/tex]
Learn more about inverse trigonometric functions here:
https://brainly.com/question/12551115
Related Questions
which of the following is the equivalent to the radical expression below when x> 0
square foot 12x^3 + Square root 6x
Answers
Answer:
i think it is b
Step-by-step explanation:
The equivalent to the radical expression will be x√2. Then the correct option is C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ √(12x³) ÷ √(6x)
Simplify the expression, then we have
⇒ √(12x³) ÷ √(6x)
⇒ √(12x³ ÷ 6x)
⇒ √(2x²)
⇒ x√2
The comparable to the extreme articulation will be x√2. Then the right choice is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
find the area of the shaded region
Answers
Answer:
D) 54.9 cm^2
Step-by-step explanation:
I found the area of the circle wwith the formula A= πr^2
A= π•64
then I found the area of the square, 256
then I subtracted the area of the circle from the area of the square and got approx. 54.9
hope this helps <3
URGENT GIVING BRAINLIEST
no links no scams no fake answers no guessing use evidence if you get it correct with evidence i will give you 100 points
Answers
Answer: The mode is 3
The range is 12
Step-by-step explanation:
The mode is the most frequently appearing number
3
The range is the difference between the highest and lowest numbers
12 - 0 = 12
Explain how 17.526 could be rounded to both 18 and 17.5.
Answers
Answer:
Step-by-step explanation:
If you round it to the nearest whole number, then 17.526 becomes 18 because if the first digit after the decimal(in this case,5) is 5 or greater you round to the next whole number.
If you round it to the nearest tenth, it would result in 17.5, because if the second digit after the decimal (in this case, 2) is 5 or greater you round to the next tenth of decimal.
Hope this helps!
Answer:
Step-by-step explanation:
It can be rounded down to 17.5 if rounding to 1 decimal place. If you are rounding to the nearest whole number, you would round to 18.
Hope this helps :)
Help me please I don’t understand this
Answers
Answer:
40 tickets
Step-by-step explanation:
40 tickets as it aligns with the revenue they are asking for, that is $1000
Solve the equation for x. X2 + 10x + 16 = 0 O A. -8,-2 OB. 8,2 OC.-4 OD. 4
Answers
Step-by-step explanation:
[tex] {x}^{2} + 10x + 16 = 0 \\ factors : 2 \: and \: 8 \\ = > {x}^{2} + 2x + 8x + 16 = 0 \\ x(x + 2) + 8(x + 2) = 0 \\ (x + 8)(x + 2) = 0 \\ hence \\ x = - 8 \: and \: - 2 \\ = > A. -8,-2[/tex]
Can someone please help me with these 3 questions I’ll mark brainliest
Answers
Answer:
2/ triple need video for the third answer
Step-by-step explanation:
Find the area of the parallelogram shown below.
Answers
Answer:
120 square unitsStep-by-step explanation:
Given,
Base of the parallelogram = 10
Height of the parallelogram = 12
Therefore,
Area of the parallelogram = base × height
= 10 × 12
= 120
Hence,
Area of the parallelogram is 120 square units (Ans)
Madeline invested $51,000 in an account paying interest rate of 6 1/8% compounded daily. Harper invested 51000 in an account paying an interest rate of 5 3/4% compounded monthly. After 13 years, how much more money would Madeline have in her account than Harper
Answers
Answer:
$5564.87
Step-by-step explanation:
We are to determine the difference between the future values of each investment
The formula for calculating future value:
FV = P (1 + r)^mn
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
Madeline
P = Present value = 51,000
R = interest rate = 0.06125 / 365 = 0.000168
N = number of years = 13
m = number of compounding = 365
51,000 x (1.000168)^4745 = 113,070.20
Harper
51,000 x (1.004792)^156 = 107,505.33
Difference = 113,070.20 - 107,505.33 = $5,564.87
Answer:$5565 just took it
Step-by-step explanation:
1. The graph of f(x) = x^2 was transformed to create the graph of g(x) = f(x) + 11. Which statement about the graphs is true?
A. The y-intercept of the graph of g is 11 units above the y-intercept of the graph of f
B. The vertex of the graph of g is 11 units to the right of the vertex of the graph of f
C. The graph of g is a reflection of the graph of f across the y-axis
D. The of g is a reflection of the graph of f across the x-axis
2. The graph of g (x) = x^2 was transformed to create the graph of h (x) = 3x^2. Which of these describes the transformation from the graph of g to the graph of h?
A. A vertical stretch by a factor of 3
B. A vertical compression by a factor of 3
C. A reflection over the x-axis
D. A vertical shift up 3 units
3. The graph of f (x) = x^2 was transformed to create the graph of g (x) = 1/4x^2. Which of these describes this transformation?
A. The graph shows a vertical compression
B. The graph is a reflection across the x-axis
C. The graph shows a shift up
D. The graph shows a vertical stretch
Answers
2 B
3 D
these are the answers
A DVD disc has a diameter of 12 centimeters. What is the surface area of one side of the disc?
Answers
Answer: 36pi = 113.097336
Step-by-step explanation:
diameter/2 = 6
6^2=36
The table below lists the number of layers of centimeter cubes, along with the number
of cubes in each layer, in each of four rectangular prisms.
LAYERS OF CUBES IN RECTANGULAR PRISMS
Prism
Number of
Layers
Number of Cubes
in Each Layer
R
3
8
S
5
5
T
6
5
U
7
4
Which rectangular prism has the greatest volume?
A Prism R
B Prism S
C Prism T
D Prism U
Answers
Answer:
The answer would be C: Prism T
Step-by-step explanation:
R=3x8=24 cubes
S=5x5=25 cubes
T=6x5=30 cubes
U=7x4=28
Therefore, T is biggest
Estimate 24% of 289 using a rate per 100.
Answers
Answer:
69.36
Step-by-step explanation:
Multiply 289 with 24 and divide the result by 100
289 × 24 ÷ 100 = 69.36
Find the quotient using long division
6x2 - 8x + 5/
X-2
Answers
Step-by-step explanation:
hope this helps have a great day!
Simplify the expression using the distributive property:
12 (2x + 4)
Answers
Answer:
24x + 48
Step-by-step explanation:
12(2x) + 12(4) = 24x + 48
Answer:
24x + 48
Step-by-step explanation:
dont feel like explaining sorry
Hailey made the following statement
"It is impossible to build a rectangular prism with a volume of 40 units it one side measures 5 units."
Key
represents
1 cubic unit
Select the two figures below that prove Hailey's statement is false
Answers
Answer:
D
Step-by-step explanation:
The average monthly mortgage payment for all homeowners in a city is $2870. Suppose that the distribution of monthly mortgages paid by homeowners in this city follow an approximate normal distribution with a mean of $2870 and a standard deviation of $470. Find to 4 decimal places the probability that the monthly mortgage paid by a randomly selected homeowner from this city is
Answers
Answer:
The probability that the monthly mortgage is between 2300 and 3140 is: 0.23167
Step-by-step explanation:
Given
[tex]\mu = 2870[/tex] --- the average
[tex]\sigma = 470[/tex] --- the standard deviation
Required [Missing from the question]
Monthly mortgage is between 2300 and 3140
This is represented as:
[tex]P(2300 < x < 3140)[/tex]
This is calculated as:
[tex]P(a< x < b) = P(z_a < Z < z_b)[/tex]
[tex]P(2300< x < 3140) = P(z_b < Z < z_a)[/tex]
Calculate the z scores
[tex]x = 3140[/tex]
[tex]z = \frac{3140 - 2850}{470}[/tex]
[tex]z = \frac{290}{470}[/tex]
[tex]z = 0.6170[/tex]
[tex]x = 2300[/tex]
[tex]z = \frac{3140 - 2300}{470}[/tex]
[tex]z = \frac{840}{470}[/tex]
[tex]z = 1.7872[/tex]
So, we have;
[tex]P(2300< x < 3140) = P(1.1787 < Z < 0.6170)[/tex]
This is then calculated as:
[tex]P(a < Z < b) = P(Z < a) - P(Z <b)[/tex]
[tex]P(a < Z < b) = P(Z < 1.1782) - P(Z <0.6170)[/tex]
[tex]P(2300< x < 3140) = P(Z < 1.1782) - P(Z <0.6170)[/tex]
Using the z table:
[tex]P(Z<0.6170) =0.73138[/tex]
[tex]P(Z<1.7872) =0.96305[/tex]
[tex]P(2300< x < 3140) = 0.96305 - 0.73138[/tex]
[tex]P(2300< x < 3140) = 0.23167[/tex]
The given data set shows the distance traveled, in miles, by customers to a bookstore event to meet their favorite author.
40, 35, 44, 90, 23, 25, 28, 35
Which data value is considered an outlier?
Answers
Answer:
90
Step-by-step explanation:
It is a large distance compared to the others
Answer:
90
Step-by-step explanation:
I took the k12 quiz, hope this helps. :)
Helppppp pleaseeeeee asapppp
Answers
(12)(4)+(2)(8)+(13)(7)
48+16+91
155
The diameter of a circle is 8 centimeters. What is the circle's circumference?
Answers
Answer:
25.13 centimeters
Step-by-step explanation:
b) Find the value of 7 - 2x when x = -3
Answers
Answer:
Replacing the value or x = -3in 7 - 2x, we get,
7 - 2 x (-3)
= 7 + 6
= 13
Answer:
13 is the value of 7 - 2x when x = -3
Step-by-step explanation:
7 -(2×-3)
7 - (-6)
7+6
13
slant height =15.2 in. height =14 in.base width =12 in .What is the surface area of the pyramid?
Answers
Answer: 605.08 hope this helps.
Step-by-step explanation:
Need help pls ASAP no jokes need this badly
Answers
Answer:
x=64°
................
=============================================================
Explanation:
Combining all of the angles shown in the diagram leads to 360 degrees. This is because there are 360 degrees in a full rotation.
Let's add up the angles shown and set the sum equal to 360. Keep in mind that the square angle marker represents 90 degrees (aka a right angle).
180+26+x+90 = 180
x+296 = 360
x = 360-296
x = 64
HELP ME PLEASE DONT MIND THAT ANSWER DIDNT MEAN THE CLICK IT :(
Answers
Answer:
B)240 sm
Step-by-step explanation
6*4=24 sm
24*10=240 sm
So that means the surface area of that rectangular prism is 240 square meters
Plz help me on this one.
Answers
Answer: 2
Step-by-step explanation:
Answer:
To find the value of x, add 5 to each side.
x - 5 = 13
+5 +5
x = 18
:)
Decrease $260 in the ratio 3:5
Answers
32.5 x 3= $97.50
32.5 x 5 = $162.50
$97.50:$162.50
Find the missing side. Round to the nearest tenth when necessary
Answers
Use Pythagorean theorem to solve for the hypotenuse. Pic shows solving steps.
The two spinners are spun.
Find the probability of getting a 2 and the letter B,
P(2 and B)?
Answers
Answer:
P(2 and B) = [tex]\frac{1}{24} = 0.0417[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the events getting a 2 and the letter B are independents, so we find each separate probability and multiply them.
Probability of getting a 2:
8 possible values on the spinner, one of which is 2. So
[tex]P(A) = \frac{1}{8}[/tex]
Probability of getting a B:
6 possible values, two of which are B. So
[tex]P(B) = \frac{2}{6} = \frac{1}{3}[/tex]
P(2 and B)?
[tex]P(A \cap B) = P(A)*P(B) = \frac{1}{8}*\frac{1}{3} = \frac{1}{8*3} = \frac{1}{24} = 0.0417[/tex]
P(2 and B) = [tex]\frac{1}{24} = 0.0417[/tex]
Which of these choices are square roots of 144? Check all that apply.
Answers
Answer:
E
Step-by-step explanation:
Evaluate 2w2+8, when w=−4.
HELP ASAP
Answers
Answer:
-8
Step-by-step explanation:
Plug in -4 for w, 2(-4)2+8 (2x-4x2+8)
2 x -4 x 2 =-16
-16+8= -8