If sin(x) = cos(y), which of these are possible values of x and y?
A X=and y = 0
B x = 15 and y = 30
C x = 30 and y = 60
D x = 120 and y = 60

If Sin(x) = Cos(y), Which Of These Are Possible Values Of X And Y?A X=and Y = 0B X = 15 And Y = 30C X

Answers

Answer 1

Step-by-step explanation:

C

good luck

:) :) :) :) :) :) :)

Answer 2

The value of x and y are respectively, 30°, 60°. So option C is correct.

What is trigonometry?

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

If sin(x) = cos(y), then x and y must satisfy the following relationship:

sin(x) = cos(90 - x)

So, x and 90 - x must both be in the range of 0 to 90 degrees, or x must be in the range of 0 to 45 degrees.

Therefore, the only possible values of x and y that satisfy this relationship are:

x = 30 degrees and y = 60 degrees

Thus, the value of x & y are 30° & 60°

To know more about trigonometry check:

https://brainly.com/question/29002217

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Related Questions

submit in simplest radical form :(

Answers

Answer:

x=5√3=8.6......

y=5

.....

A cab company charges a $3.95 flat fee for rides up to 15 miles. For rides over 15 miles, the company charges the $3.95 flat fee and $1.25 per mile for every mile over 15 miles up to 75 miles. For rides over 75 miles the company charges a flat fee of $78.95 and $0.75 per mile over 75 miles. Using this information, write an equation that represents the total cost of the trip as a function of the number of miles traveled. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)

Answers

Answer:

There are three intervals depending on  the mileage:

0 - 15 miles15 - 75 milesMore than 75 miles

For each interval we have different cost and equation

Let miles = x, cost  = y, then the equations are:

0 < x ≤ 15       ⇒ y = 3.9515 < x ≤ 75     ⇒ y = 1.25x + 3.95x > 75             ⇒ y = 0.85x + 78.95

Step-by-step explanation:0 - 15 miles

15 - 75 miles

More than 75 miles

For each interval we have different cost and equation

Let miles = x, cost  = y, then the equations are:

0 < x ≤ 15       ⇒ y = 3.95

15 < x ≤ 75     ⇒ y = 1.25x + 3.95

x > 75             ⇒ y = 0.85x + 78.95

Evaluate Bridget is filling welcome bags for
several new students. Each bag gets
1 magnet. The ratio of magnets to pencils in
each bag is 1:6, and the ratio of erasers to
magnets is 2:1. Which statement below must
be true? Use a model to help explain your
thinking.
• Bridget needs 4 more pencils than erasers.
Bridget needs 3 times as many pencils as
erasers.

Answers

Answer:

sOrRy BoW nEeD SoMe PoInTs Bow

Step-by-step explanation:

il find the distance bin the orgin
and the lone x = 4x-34=10​

Answers

Answer:

11 units from the origin

Step-by-step explanation:

When graphing the line 4x-34=10, it intersects the x-axis 11 units from the origin.

The data given below contain the state cigarette tax​ (in $) for all 20 regions of a country.
1.36
1.70
2.50
0.45
1.18
0.64
3.46
0.57
2.00
0.80
1.60
0.98
0.36
2.24
4.35
0.62
2.70
1.78
1.53
0.84

Required:
a. Compute the population mean and population standard deviation for the regional cigarette taxes.
b. The population standard deviation is σ=_______
c. Interpret the parameters in​ (a).

1. The population mean is the average amount of regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the median.
2. The population mean is the most common regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the median.
3. The population standard deviation is the average amount of regional cigarette tax. The population mean represents the amount of spread in the regional cigarette tax around the standard deviation.
4. The population mean is the average amount of regional cigarette tax. The population standard deviation represents the amount of spread in the regional cigarette tax around the mean.

Answers

Answer:

(a) [tex]\bar x= 1.583[/tex] -- Population Mean

(b) [tex]s = 1.032[/tex] --- Population standard deviation

(c) See Explanation

Step-by-step explanation:

Given:

Cigarette tax for 20 regions

Solving (a): The population mean

This is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\sum x = 1.36 + 1.70 + 2.50 + 0.45 + 1.18 + 0.64 + 3.46 + 0.57 + 2.00 + 0.80 + 1.60 +0.98 + 0.36 + 2.24 + 4.35 + 0.62 + 2.70 + 1.78 + 1.53 + 0.84[/tex]

[tex]\sum x = 31.66[/tex]

[tex]n = 20[/tex]

So, we have:

[tex]\bar x= \frac{31.66}{20}[/tex]

[tex]\bar x= 1.583[/tex]

Solving (b): The population standard deviation

This is calculated as:

[tex]s = \sqrt{\frac{\sum( x - \bar x)^2}{n}[/tex]

[tex]\sum (x -\bar x)^2 = (1.36 - 1.583)^2 + (1.70 - 1.583)^2+ (2.50 - 1.583)^2+ (0.45 - 1.583)^2+ (1.18 - 1.583)^2+ (0.64 - 1.583)^2+ (3.46 - 1.583)^2+ (0.57 - 1.583)^2+ (2.00 - 1.583)^2+ (0.80 - 1.583)^2+ (1.60 - 1.583)^2+(0.98 - 1.583)^2+ (0.36 - 1.583)^2+ (2.24 - 1.583)^2+ (4.35 - 1.583)^2+ (0.62 - 1.583)^2+ (2.70 - 1.583)^2+ (1.78 - 1.583)^2+ (1.53 - 1.583)^2+ (0.84- 1.583)^2[/tex]

[tex]\sum (x -\bar x)^2 = 21.29222[/tex]

So:

[tex]s = \sqrt{\frac{21.2922}{20}[/tex]

[tex]s = \sqrt{1.06461}[/tex]

[tex]s = 1.032[/tex]

Solving (c):

Population mean tells the average amount while the standard deviation represents the spread from the calculated mean

Option (4) is correct

A box contains 12 cereal bars. The empty box weighs 1.75 oz. The box
and the bars weigh 18.55 oz. What is the weight of each cereal bar?

Answers

Answer:

Step-by-step explanation:

Answer: the answer is 6.25

Step-by-step explanation:

shows that the points (2,1), (6,2), (5,6), and (1,5) are the vertices of a square. Then obtain the perimeter and area of ​​that square. (remember that a square is defined by having its four equal sides) I need help please?​

Answers

Answer:

The perimeter of this square will be 32 and the Area will be 64

Step-by-step explanation:

I posted a picture of how I got this

Hope this Helped

what is the slope between the points (14,1) and (6,-15)

Answers

the slope of these is 2 !

The array below represents the temperatures (in degrees Fahrenheit) of certain points on theinterior and boundary of a metal plate:

30 30
15 T1 T2 45
15 T3 T4 45
60 60

Assume that the temperature at each point is theaverageof the temperatures at the four neighboring points(left, right, above, and below).Set up (do not solve)a system of four linear equations whose solution gives the four temperature T1,T2,T3, andT4. (Your linear equations should all be written instandard form, meaning a linear combination ofthe variables set equal to a constant.)

Answers

Answer:

[tex]4T1 - T3 - T2= 45[/tex]

[tex]4T2- T1 - T4 = 75[/tex]

[tex]4T3- T1 - T4 = 75[/tex]

[tex]4T4 - T2 - T3= 105[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cccc}{ } & {30} & {30} & { } & {15} & {T1} &{T2} & {45} & {15} & {T3} & {T4} & {45} & {} & {60} & {60} & {} \ \end{array}[/tex]

Required

Set up 4 linear equations to solve for T1,T2,T3, andT4

From the question, we understand that each temperature is the average of the 4 surrounding temperatures.

So, we have:

For T1, the surrounding temperatures are: 30, 15, T3 and T2.

The average is:

[tex]T1 = \frac{1}{4}(30 + 15 + T3 + T2)[/tex]

[tex]T1 = \frac{1}{4}(45 + T3 + T2)[/tex]

Multiply through by 4

[tex]4T1 = 45 + T3 + T2[/tex]

Equate variables to constant

[tex]4T1 - T3 - T2= 45[/tex]

For T2, the surrounding temperatures are: T1, T4, 45 and 30.

The average is:

[tex]T2 = \frac{1}{4}(T1 + T4 + 45 + 30)[/tex]

[tex]T2 = \frac{1}{4}(T1 + T4 + 75)[/tex]

Multiply through by 4

[tex]4T2 = T1 + T4 + 75[/tex]

Equate variables to constant

[tex]4T2- T1 - T4 = 75[/tex]

For T3, the surrounding temperatures are: 60, 15, T1 and T4

The average is:

[tex]T3 = \frac{1}{4}(60 + 15 + T1 + T4)[/tex]

[tex]T3 = \frac{1}{4}(75 + T1 + T4)[/tex]

Multiply through by 4

[tex]4T3 = 75 + T1 + T4[/tex]

Equate variables to constant

[tex]4T3- T1 - T4 = 75[/tex]

For T4, the surrounding temperatures are: 60, 45, T2 and T3

The average is:

[tex]T4 = \frac{1}{4}(60 + 45 + T2 + T3)[/tex]

[tex]T4 = \frac{1}{4}(105 + T2 + T3)[/tex]

Multiply through by 4

[tex]4T4 = 105 + T2 + T3[/tex]

Equate variables to constant

[tex]4T4 - T2 - T3= 105[/tex]

So, the equations are:

[tex]4T1 - T3 - T2= 45[/tex]

[tex]4T2- T1 - T4 = 75[/tex]

[tex]4T3- T1 - T4 = 75[/tex]

[tex]4T4 - T2 - T3= 105[/tex]

Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale.

A=

Answers

Step-by-step explanation:

area of trapezium = 15× 12 + 1/2× 12× 5

= 180 + 30 = 210

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

Solve x for -2x- 1 = -7

Answers

Answer:

x = 3

Step-by-step explanation:

Add 1 on both sides.

We get:

-2x = -6

Now divide -6 by -2...

-6/-2 = 3

-2x -1 = -7

add the "-1" on both sides, -2x -1 +1 = -7 +1

-2x = -6

divide "-2" on both sides, -2x/-2 = -6/-2

x = 3

In a recent survey of 1,000 randomly selected registered voters in the town of Armstrong, 803
are in favor of installing bicycle safety signs. Based on the survey results, approximately how
many of Armstrong's 16,092 registered voters are in favor of installing bicycle safety signs?
A. 803
B. 3,170
C. 12,922
D. 15,092

Answers

Answer:

12,922

Step-by-step explanation:

estimate = 16,092 * 803/1,000 = 12,922

On a United States map, 1 inch represents
240 miles. Using this scale, find the distance
represented by 3.5 inches.

AND

On a California map, 1 inch represents 150 miles. Using this scale, find the distance represented by 2.5 inches.

Answers

5. C
6. B
Steps on paper

Help me find the hight explain

Answers

Answer:

h = 26cm

Step-by-step explanation:

V = (l w h)/3

so the volume of the first one is

20*12*13 /3= 1040

1040 = 12*10*h/3

3120 = 120h

h = 26

The answer is C. 23 cm

one boy has 63k and another 59k .if they share it equally,how much does each of them get​

Answers

Answer:

61k

Step-by-step explanation:

63+59=122

122/2=61

Answer:

61000

Step-by-step explanation:

First add 63K + 59K. You'll get 122K. Then divide that number by two. You'll get 61 K, which is 61000.

Which set of numbers below DO NOT make a triangle?
7,7,7
6, 3, 3
3,4,5
5, 11,7

Answers

Answer:

6, 3, 3 (B)

Step-by-step explanation:

Two sides of a triangle must be greater than the remaining side

A way to think about this is like this:

The two shortest sides of a triangle must be greater than the final side

Go through this process for each option and find the B does not work

6,3,3 because two sides must be greater than 6,3,3

1) Which of the following are considered POLYNOMIALS according to the rules of polynomials? Check all that apply

Answers

Answer:

A polynomial is writen as:

p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀

So we can only have positive integer exponents of x.

the coefficients "a" can be any real number.

Let's analyze the options:

1) Here we can see a term with "√x", remember that:

√x = (x)^(1/2)

This is not an integer exponent, then this is not a polynomial.

2) This is a polynomial.

3) Here we have the term "4/x"

This can be written as:

4/x = 4*x^(-1)

Then this is not a polynomial.

4) Here we have the term "5^x"

In a polynomial we must have powers of x, not x as a power, then this is not a polynomial.

5) This is a polynomial.

6) Here we have the term " 2/x^2"

This can be written as:

2/x^2 = 2*x^(-2)

We have a negative exponent of x, then this is not a polynomial.

PLEASE HELP MEEEEEE I need help quickly

Answers

Answer:

60

Step-by-step explanation:

There are sixty students.

15%   =   9

------------------

100% =  x

Cross muliply.

900

------

15x

Divide 15x by 15, and 900 by 15.

Answer is 60.

I hope this helps!

Brainliest would be awesome!

Please help with this area assignment​

Answers

Answer:

375

Step-by-step explanation:

15 times 25 equals 375

A phone plan costs $10 per month, plus $0.03 per text message. John wants his phone bill to be less than $40, before taxes. What is the
maximum number of text messages John can send?
A.) 333
B.) 999
C.) 1,333
D.) 1,666

Answers

Answer:999

Step-by-step explanation:

0.03x999=29.97

29.97+10=39.97$

Answer:

39.97

Step-by-step explanation:

Two ships leave port at the same time. One travels north at 70 knots (that is, 70 nautical miles per hour), and the other west at 70 knots. The distance between the ships increases at a constant rate. At what rate is the distance between the two ships increasing

Answers

Answer:

99miles is more likely correct

or 114miles as knots is usually higher mileage

Step-by-step explanation:

70^2 + 70^2 = c^2

sqrt 4900 + sqrt 4900 = c^2

sq rt 9800 = c^2 = 98.9949494

99 x 1.1507794480225 = 113.927165 = 114miles if converted to 80.6m/ph

70 Knots is equivalent to 80.554561361578 Miles/Hour. How to convert from Knots to Miles/Hour The conversion factor from Knots to Miles/Hour is 1.1507794480225. To find out how many Knots in Miles/Hour, multiply by the conversion factor or use the Velocity converter.

Hya think of a number "m" . She square it, add "y" to the answer and then subtract 7 from it. The final answer is "A". 1) Derive the formula for A 2) Using the formula, find the value of A when m= 3 and

Answers

Solution (1) :

Given, to find A we have to :

square mAdd y to m²Subtract 7 from m² + y

From the question, the following equation can be formed :

[tex] =\tt A = {m}^{2} + y - 7[/tex]

Therefore, the formula for finding A = m² + y - 7

Solution (2) :

The value of A we can derive from the formula is :

[tex] =\tt A = {m}^{2} + y - 7[/tex]

Value of m = 3 (given)

Which means :

[tex] =\tt A = {3}^{2} + y - 7[/tex]

[tex] =\tt \: A = 9 + y - 7[/tex]

[tex] =\tt A = 9 - 7 + y[/tex]

[tex]\color{plum} =\tt A = 2 + y[/tex]

Thus, the value of A = 2+y

Therefore, the value of A = 2+y

Find the Area of the triangle

6.3 yd
3.4 yd

Answers

Area of a triangle is... 1/2 Base x Height The answer is followed by units squared.
3.15 is half of 6.3.
3.15 x 3.4 = 10.71 yds squared

aid 100% more than b . Which of these shows the ratio a:b ? . A is 100:1 , B is 1:100, Cis 2:1 and D is 1:2

Answers

Answer:

a:b = 100:1

Step-by-step explanation:

Given:

a is 100% more than b

Find:

a:b

Computation:

Assume;

Common multiply = p

So,

b = p

a = 100P

a:b = 100p : p

a:b = 100:1

Write the phrase "the sum of a number and twenty-three less than that number" as a mathematical expression.

A) x + 23

B) x ⋅ 23

C) x – 23

D) x + (x – 23)

Answers

Answer:

D

Step-by-step explanation:

The sum of a number and twenty-three less than that number" as a mathematical expression is x + (x – 23)

I mean its the only answer with sum and "less than" because that usually means you need to subtract, I hope this helps

Answer:

D

Step-by-step explanation:

Are there any supplementary, vertical, or complimentary angles? If so wich ones

Answers

Supplementary: 1 and 2 & 3 and 4

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: 1 and 3 & 2 and 4

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary:

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

Find set A' n B'
U= {1, 2, 3, 4, 5, 6, 7}
A= {4, 5, 6, 7}
B = {3, 4, 7}

Answers

Answer:

its 1 and 2

Step-by-step explanation:

first find A' which is(1,2,3) since these are in the universal set but not in A.

similary B' which is (1,2,5,6)

and since (1,2) are both in A' and B' set A'nB'=(1,2)

Answer:

Step-by-step explanation:

U={1,2,3,4,5,6,7}

A={4,5,6,7}

B={3,4,7}

A'={1,2,3}

B'={1,2,5,6}

A'∩B'={1,2}

‼️ANSWER QUICKLY THIS IS A TIMED TEST ‼️The community garden in your neighborhood has three
different types of vegetable plants: peppers, tomatoes, and
cucumbers. The ratio of the number of peppers to tomatoes
to cucumbers is 1:5:3. If there are 48 cucumber plants in the
garden, how many total vegetable plants are there in the
garden?

Answers

I’m not 100% sure but I think it’s 80

I NEED HELP NOWWWWW pls

Answers

LA= 4
12x=(6)(8)
Solve for x
X=4

Classify the polynomial according to its degree and number of terms 8x.

quadratic binomial

seventh-degree binomial

seventh-degree monomial

linear monomial

Answers

Answer:

Linear monomial

Step-by-step explanation:

As here the number of terms is only 8x that is only one hence it is a monomial and as its degree here is 1 hence it is linear.

So it is a linear monomial.

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