HELP ME ASAP!!! I NEED SOMEBODY TO EXPLAIN THIS TO ME!
Will mark BRAINLIEST

HELP ME ASAP!!! I NEED SOMEBODY TO EXPLAIN THIS TO ME!Will Mark BRAINLIEST

Answers

Answer 1

Answer:

  (-√10)/10

Step-by-step explanation:

The trig identity that relates the sine and the tangent is ...

  sin(x) = ±tan(x)/√(1 + tan(x)²)

For your given value of tan(x), this evaluates to ...

  sin(x) = ±(1/3)/(√(1 + (1/3)²) = ±1/√10 = (±√10)/10

The given value of the tangent function is positive, so the sine and cosine functions have the same sign (both are negative in this case).

So, your sine function is ...

  sin(x) = (-√10)/10

_____

You can derive the above relationship using SOH CAH TOA.

  Tan = Opposite/Adjacent

You are given the value of the tangent function as 1/3, so it is convenient to assign Opposite = 1 and Adjacent = 3. Then Hypotenuse is found using the Pythagorean theorem as ...

  Hypotenuse = √(Opposite² + Adjacent²) = √(1² + 3²) = √10

Now, the sine is ...

  Sin = Opposite/Hypotenuse = 1/√10

Rationalizing the denominator, this is ...

  Sin = (√10)/10

__

Now, you need to take into account the quadrant of the angle. Tangent is positive and Cosine is negative in the 3rd quadrant, where the Sine is also negative. Then your sine value is ...

  sin(x) = (-√10)/10


Related Questions

The value of a stock market decreases a total of 85 points over a 15 minute period of trading. How much does the stock value change by points per minute

Answers

Answer:

-5 2/3 points per minute

Step-by-step explanation:

change / time = (-85 points)/(15 minutes) = -17/3 points/minute = -5 2/3 points/minute

6,560 what is the value of 6?​

Answers

Answer:

The vale of 6 is 'Thousands'

Answer:

Place value of 6 is thousand and tens.

Step-by-step explanation:

6560   is the number where 6 has 2 place value

(1) at thousands

(2) at tens .

6,560 = 6000+500+60

          = 6x1000 +5x100+6x10

              Here we can see that 6 is at two places

              thousand and tens

Solve: -2y^2+x+24y-69=0

Answers

Answer:

x=2y^2 -24y + 69

Step-by-step explanation: Move the expression to the right side and change its sign.

The point A(-7,5) is reflected over the line x=-5 and then is reflected over the line x=2 what are the coordinates of A’

Answers

Answer:

A''(7, 5)

Step-by-step explanation:

Reflection over the line x=L is the transformation ...

(x, y) ⇒ (2L-x, y)

For L=-5, this is ...

(x, y) ⇒ (-10 -x, y)

Then, translation over the line x=2 gives ...

(x, y) ⇒ (2·2 -(-10 -x), y) = (14+x, y)

So, the point (-7, 5) is translated to (14-7, 5) = (7, 5).

Jane has 2/3 of a lemon pie left over after Easter.she decided to give 1/2 of it to her sister.How much of the whole lemon pie was given to Jane's sister?​

Answers

Answer:

  1/3

Step-by-step explanation:

1/2 of 2/3 = 1/2·2/3 = (1·2)/(2·3) = 1/3

Rewrite the expression using positive exponents:
1.) y^-3 2.) x^-5 3.) 3x^4

Answers

Negative exponents work like this: you have to consider the multiplicative inverse of the positive exponent.

So you have

[tex] y={-3} = \dfrac{1}{y^3},\quad x^{-5} = \dfrac{1}{x^5}[/tex]

The third expression already contains positive exponents only, you don't have to do anything.

how do i write ten more shoes than ruben as a variable​

Answers

Answer:

s + 10

Step-by-step explanation:

Ruben has s number of shoes. Then, 10 more shoes that Ruben has is

s + 10

Final answer:

To write an expression for 'ten more shoes than Ruben,' define a variable for Ruben's shoes, for example, R, and then add 10. The expression is R + 10.

Explanation:

If you want to write an expression for "ten more shoes than Ruben," you need to start by defining a variable for the number of shoes that Ruben has. Let's say that R represents the number of shoes Ruben has. Then, to express "ten more shoes than Ruben," you simply add 10 to that variable. Therefore, the expression would be R + 10. This straightforward notation clarifies the relationship between Ruben's shoe count and the additional ten pairs. By employing variables and simple arithmetic operations, such as addition, this expression succinctly conveys the concept of having ten more shoes than Ruben, facilitating mathematical communication and problem-solving.

Which statement is true? A. 2x – 1 = 13 and x = 6 B. 2x – 1 = 13 and x = 7 C. 2x + 1 = 13 and x = 7 D. 2x – 1 = 13 and x = 11

Answers

Answer:

B. 2x – 1 = 13 and x = 7

Step-by-step explanation:

We are given 4 equations and a solution for each. We have to tell which of the given solution satisfies the given equation.

Option A.

2x -1 = 13 and x = 6

Using this value in the equation, we get:

2(6) -1 = 13

12 - 1 = 13

11 = 13, which is not true. Hence this option is not valid

Option B.

2x - 1 = 13 and x = 7

Using the value in the equation, we get:

2(7) - 1 =13

14 - 1 =13

13 = 13, which is true. Hence this option is valid.

Option C.

2x + 1 =13 and x = 7

Using the value in the equation, we get:

2(7) + 1 = 13

15 = 13, which is not true. So this option is not valid

Option D.

2x - 1 = 13 and x = 11

Using this value in the equation, we get:

2(11) - 1 = 13

21 = 13, which is not true. Hence this option is not valid.

Darren bowls on a local league and had the following scores for the past 8 weeks: 280, 290, 285, 300, 285, 291, 285 and 280. What was his range of scores?

Answers

Answer: Darren’s range is 20 points.

Step-by-step explanation: A range is the difference between the highest score and the lowest score. With the lowest score being 280 and the highest score being 300, the difference is 20 points for the range.

Where would I put the dot ? Please help thank you if you do!

Answers

put it on negative three

Answer:

Draw an open circle at -4 and shade in the line to the left of -4.

Step-by-step explanation:

x < -4 means that the number is to the left of -4 on the number line.

To graph the inequality, draw an open circle at -4 to show that the number cannot be -4.

However, the number can be anywhere to the left of -4, so you shade in that part of the line.

Cost to store: ?
Markup: 80%
Selling Price: $100.80. What is the cost to store?

Answers

Given a markup of 80% and a selling price of $100.80, the cost price is approximately $56. Subtracting this from the selling price yields a cost to store of $44.80.

To find the cost to store, we need to first calculate the cost price using the selling price and the markup percentage.

Given:

- Markup percentage: 80%

- Selling price: $100.80

Step 1: Calculate the cost price using the formula:

[tex]\[ \text{Cost Price} = \frac{\text{Selling Price}}{1 + \frac{\text{Markup Percentage}}{100}} \][/tex]

Substitute the given values:

[tex]\[ \text{Cost Price} = \frac{100.80}{1 + \frac{80}{100}} \][/tex]

[tex]\[ \text{Cost Price} = \frac{100.80}{1 + 0.80} \][/tex]

[tex]\[ \text{Cost Price} = \frac{100.80}{1.80} \][/tex]

[tex]\[ \text{Cost Price} ≈ 56 \][/tex]

Step 2: Calculate the cost to store by subtracting the cost price from the selling price:

[tex]\[ \text{Cost to store} = \text{Selling Price} - \text{Cost Price} \][/tex]

[tex]\[ \text{Cost to store} = 100.80 - 56 \][/tex]

[tex]\[ \text{Cost to store} = 44.80 \][/tex]

So, the cost to store is $44.80.

Jasmine went shopping to a store and spent $56 on accessories and clothes. She spent $18 more on clothes than on accessories. write and sooce a system of equations to find how much she spent on each.

Please define x and y variables
and write two equations with the information given in y=mx+b
(order of y=mx+b can be changed)
please do not go any further than that. ​ .

Answers

Answer:

Let x and y represent the amounts spent on accessories and clothes, respectivelyx + y = 56 . . . or y = -x + 56y - x = 18 . . . or y = x + 18

Step-by-step explanation:

With the variables defined as above, the total amount spent is ...

  x + y = 56 . . . . . the amount spent on accessories and clothes

When the amount spent on accessories is subtracted from the amount spent on clothes, the result is $18, so we can write another equation that says this:

  y - x = 18

Both equations can be rearranged to put y alone on the left. In the first case, we add -x to both sides of the equation. In the second case, we add x to both sides of the equation.

What is the mad of this data set {5,12,1,6,11}.
Enter your answer in the box.
[ ]

Answers

Answer:

7

Step-by-step explanation:

Add them and hen divide by how many numbers there are

Complete the point-slope equation of the line through (-8,-1) and (-6,5)

y-5=

Answers

Answer:

y-5=3x+2

Step-by-step explanation:

1) to make up the equation through the given two points:

[tex]\frac{x+8}{-6+8}= \frac{y+1}{5+1}; \ => \ y=3x+24[/tex]

2) to change that equation according to the condition:

y-5=3x+24-5; ⇔ y-5=3x+19.

P.S. the way suggested above is not the shortest one.

What is the first quartile of this data set

Answers

Answer:

C:12

Step-by-step explanation:

should be 13.5

The first quartile (Q1) is defined as the middle number between the smallest number and the median of the data set.

so the middle number of 10,11,12,15,17,19 is 13.5   since 12+15=27/2=13.5

the closest answer choice is C! Hope this helped!

Answer:

The correct option is C.

Step-by-step explanation:

The given data set is

10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38

Divide the data in two equal parts.

(10, 11, 12, 15, 17), 19, (22, 24, 29, 33, 38)

Divide each parenthesis in two equal parts.

(10, 11), 12, (15, 17), 19, (22, 24), 29, (33, 38)

The first quartile is 12, second quartile or median is 19 and third quartile is 29.

Since the first quartile of the data set is 12 Therefore, the correct option is C.

Azarai is looking to purchase a new pair of basketball shorts costing $40. The New Jersey state tax rate is 7.5 percent. What final price must he pay??? Plzzz I will give you 100 points

Answers

Answer:

$43.00

Step-by-step explanation:

final price = marked price + tax

= marked price + (tax rate) · (marked price)

= (marked pric) · (1 + tax rate)

= $40.00 · 1.075

= $43.00

What is the place value of the 9 in the number 922,428? A) Ninety B) Nine hundred C) Ninety thousand D) Nine hundred thousand I need this answer by today for usatestprep.com.

Answers

D) Nine hundred thousand

This is because the nine is in the hundred thousands place, and 9 * 100,000 is nine hundred thousand.

Please consider marking this answer as Brainliest to help me advance.

Hey there!

The correct answer is D. Nine Hundred Thousand

This is the place it’s in => 900,000

Hope this helps you!

God bless ❤️

Brainliest would be appreciated!

xXxGolferGirlxXx

HELP PLEASE!! IM REALLY STUPID!! // You have nickels and dimes in your wallet with a total value of $1.10. You have 17 coins in all. Write and solve a system of linear equations to find the number x of nickels and y of dimes ( I’m not in college Btw I’m in middle school Idk why it says that lol)

Answers

Answer:

[tex]x=12[/tex] (12 nickels))

[tex]y=5[/tex] (5 dimes)

Step-by-step explanation:

Based on the information given in the problem, you can set up the following system of linear equations, where:

x: number of nickels.

y: number of dimes.

Then

FIRST EQUATION: [tex]x+y=17[/tex]

SECOND EQUATION: [tex]5x+10y=110[/tex]  (in cents)

You can apply the Substitution method:

- Solve for x from the first equation.

- Substitute into the second equation and solve for y.

 Then:

[tex]x=17-y[/tex]

[tex]5(17-y)+10y=110\\85-5y+10y=110\\5y=25\\y=5[/tex]

- Find x:

[tex]x=17-5\\x=12[/tex]

Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.

Answers

all are corespondent to each lateral line

I don’t get it Can Someone help me??

Answers

Answer:

  63.7%

Step-by-step explanation:

If a point is chosen from the circle at random, the probability it came from the shaded region is the ratio of the area of the shaded region (square) to the area of the circle.

  area of square = (1/2)(diagonal)^2 = (1/2)·(2 in)^2 = 2 in^2

  area of circle = πr^2 = π·(1 in)^2 = π in^2

Fraction of circle that is shaded = (square area)/(circle area) = 2/π ≈ 63.7%

63.7% good luck hope it’s right

PLEASE PLEASE PLEASE PLEASE HELP ME!! I'LL GIVE POINTS, BRAINLY, AND FRIEND!! :)
In order to sell a piece of land an owner must indicate the boundary of the property and acreage of the land. To model the scenario, create a composite shape that represents the land. Explain how to find the length of the boundary and the acreage of the property with the composite shape.

Answers

So just say the piece of land is in the shape of a rectangle and a triangle put together. To find the length (perimeter) add each sides up and subtract the line where the two shapes meet. To find the acreage (area) find the area of the rectangle (length*width) and add the area of the triangle (1/2*base*height)

Which of the following statements is not always true?
A. The points that lie on the graph of a linear function lie along a straight line.
B. The coordinates of points that lie on the graph of a linear equation satisfy the equation.
C. The slope of the line between any two points on a linear function is constant. D. A table of values represents points that lie on the graph of a linear function.

Answers

Answer:

  D. A table of values represents points that lie on the graph of a linear function.

Step-by-step explanation:

A table of values can represent any relation, not necessarily a linear function. Statement D is not always true.

Statement D, 'A table of values represents points that lie on the graph of a linear function,' is not always true. A table of values could represent various types of functions or data sets. All other statements are correct for a linear function.

Let's analyze each of the given statements to identify which one is not always true:

The points that lie on the graph of a linear function lie along a straight line. This is always true by definition of a linear function.The coordinates of points that lie on the graph of a linear equation satisfy the equation. This is also always true, as the coordinates must satisfy the equation to be on the graph.The slope of the line between any two points on a linear function is constant. This is a defining property of lines, so it is always true.A table of values represents points that lie on the graph of a linear function. This statement is not always true. A table of values could represent points from any type of function or even unrelated data, and not just a linear function.

Therefore, the correct answer is D. A table of values represents points that lie on the graph of a linear function.

Sec^6x(secxtanx)-sec^4(secxtanx)=sec^5xtan^3x
Verify the trigonometric identity

Answers

I guess you mean

[tex]\sec^6x(\sec x\tan x)-\sec^4x(\sec x\tan x)=\sec^5x\tan^3x[/tex]

On the left side, we have a common factor of [tex]\sec^4x(\sec x\tan x)=\sec^5x\tan x[/tex], so that

[tex]\sec^6x(\sec x\tan x)-\sec^4x(\sec x\tan x)=\sec^5x\tan x(\sec^2x-1)[/tex]

Recall that

[tex]\sec^2x=1+\tan^2x[/tex]

from which it follows that

[tex]\sec^5x\tan x(\sec^2x-1)=\sec^5x\tan x\tan^2x=\sec^5x\tan^3x[/tex]

Find the area of this regular polygon round to nearest tenth

Answers

Answer:

[tex]A=163.9in^2[/tex]

Step-by-step explanation:

Let's use the regular polygon area formula when given the radius.

[tex]A=\frac{(r^{2})(n)sin(\frac{360}{n})}{2}[/tex]

r is radius

n is the number of sides

Let's plug in the proper values into this equation and simplify:

[tex]A=\frac{(7.74^{2})(7)sin(\frac{360}{7})}{2}[/tex]

[tex]A=\frac{(59.9076)(7)(0.78183148)}{2}[/tex]

[tex]A=\frac{327.86353299}{2}[/tex]

[tex]A=163.93176649[/tex]

What is the distance between (-5, 4) and (-1, 4)?

Answers

Answer:

4 units

Step-by-step explanation:

The distance from x=-5 to x=-1 on the line y=4 is -1-(-5) = -1+5 = 4 units.

_____

It might help to plot the points on a graph and count the grid squares between them.

Answer:

4 units

Step-by-step explanation:

on edge

the expression (x^3)(x^-17) is equivalent to x^n. what is the value of n record your answer and fill in the bubbles on the answer document

Can anybody answer all the questions

Answers

Answer with explanation:

1.→Answer Written by Jack is Incorrect.

[tex]m^n=\text{exponent}\\\\\frac{x^a}{x^b}=x^{a-b}\\\\x^a \times x^b=x^{a+b}[/tex]

Error:Instead of subtracting powers,jack has added powers of same exponent.

Correct Solution:

    [tex]=\frac{54\times x^9 \times y^8}{6\times x^3 \times y^4}\\\\ \text{Here ,correct answer should be}=9\times x^{9-3} \times y^{8-4}\\\\=9 x^6 y^4[/tex]

2.Initial Amount, a=78,000

Rate =3 %=0.03

Error: Rate percent should be divided by 100, to get the value of b.

So, b= 0.03

Correct Solution:

Exponential growth is given by

  [tex]y=a\times b^x\\\\y=78,000\times (0.03)^x[/tex]

3.The Expression is

[tex]m^2-13 m -30\\\\a=1, b= -13,c= -30\\\\ac=-30\\\\b=-13= -15 +2,as -15 \times 2 = -30\\\\\text{Equivalent expression}=(m-15)(m+2)[/tex]

Option A: (m-15)(m+2)  

[tex]4.\rightarrow x^n=(x^3) \times (x^{-17})\\\\=\text{using law of indices},x^a\times x^b=x^{a+b}\\\\x^n=x^{3-17}\\\\x^n=x^{-14}\\\\n=-14[/tex]  

The equivalent of an expression is the other form of the expression.

The equivalent expression is: [tex]\mathbf{x^{-14}}[/tex]

The expression is given as:

[tex]\mathbf{(x^3)(x^{-17})}[/tex]

Remove brackets

[tex]\mathbf{(x^3)(x^{-17}) = x^3 \times x^{-17}}[/tex]

Apply law of indices

[tex]\mathbf{(x^3)(x^{-17}) = x^{3-17}}[/tex]

[tex]\mathbf{(x^3)(x^{-17}) = x^{-14}}[/tex]

Hence, the equivalent expression is: [tex]\mathbf{x^{-14}}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/15715866

LOTS OF POINTS!!! HELP ASAP Consider triangle QRS. The legs each have a length of 10 units. What is the length of the hypotenuse of the triangle? 5 units 5 square root of 2 units 10 units 10 square root of 2 units

Answers

Answer:

[tex]10\sqrt{2}[/tex]

Step-by-step explanation:

Pythagorean Theorem

QS^2+SR^2=QR^2

10^2+10^2=QR^2

100+100=QR^2

200=QR^2

[tex]\sqrt{200}=QR[/tex]

[tex]10\sqrt{2}[/tex]

Answer:

In right Δ QRS, right angled at , S.

By Pythagorean theorem

→(Hypotenuse)²=(Altitude)^2 +(Base)²

→ Q S² + SR² = QR²

→10² +10²= QR²

→ QR²=100+100

→ QR²=200

[tex]QR=\sqrt{200}\\\\ QR=\sqrt{10 \times 10 \times 2}\\\\ QR=10\sqrt{2}[/tex]

Option D

Hypotenuse[tex]=10\sqrt{2}[/tex] units

What is the next number? 3 4 6 9 13 18 24 29 31 32 33

Answers

the next number can be 34 as the sequence goes in difference of 1,2,3,4,5,6,5,2,1,1so I think it will continue with sequence 1

The value of the next number is 34

What is sequence?

A sequence is defined as an arrangement of numbers in a particular order. On the other hand, a series is defined as the sum of the elements of a sequence.

There are two types of sequence, the arithmetic sequence and geometry sequence.

Example of arithmetic sequence is 2,4,6 ,8, 10... and we get the next number by adding 2. Also

Example of geometry sequence is 2,4,8,16,32... we get the next number by multiplying 2.

From the sequence above the next number will be 34 because the last three number has a common difference of 1.

learn more about sequence from

https://brainly.com/question/6561461

#SPJ6

Find the value of x. Round your answer to the nearest tenth.
The diagram is not drawn to scale

Answers

Answer: 2.3

Step-by-step explanation:

 The triangle shown in the image attached is a right triangle.

Therefore, you can calculate the missing lenght of the triangle (x), by applying the proccedure shown below:

- Apply [tex]tan\alpha=\frac{opposite}{adjacent}[/tex]

- Substitute values.

- Solve for the missing side x.

Therefore, you obtain the following result:

[tex]tan\alpha=\frac{opposite}{adjacent}\\tan(25)=\frac{x}{5}\\x=5*tan(25)\\x=2.3[/tex]

Answer:

The value of x = 2.3 units to the nearest tenth

Step-by-step explanation:

* The triangle is right angle triangle

- We can use one of the trigonometry functions to find the value of x

∵ The measure of the one of the acute angle is 25°

∵ The length of the adjacent side of the angle is 5 units

∵ The length of the opposite side of the angle is x

- because we have opposite and adjacent of the given angle

∴ We will use the tan function

∵ tanФ = opposite to Ф/adjacent to Ф

∴ tan25 = x/5 ⇒ by using cross-multiplication

∴ x = 5 × tan25 = 2.33 ≅ 2.3

∴ The value of x = 2.3 units to the nearest tenth

Kyle is saving his money to buy a computer for $300. He has already saved $75 and plans to save an additional $22.50 each day. Write an equation for the number of days Kyle will need to save in order to buy the computer

Answers

Answer:

  75 + 22.50d = 300

Step-by-step explanation:

The equation sums the amount Kyle currently has (75) with the amount he saves in d days (22.50d). It sets that total to 300, since Kyle hopes to save a total of $300 in d days.

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