If 0° < x < 90° and
2 1
2sin
2
x 
, then the value of x
is:

Answers

Answer 1

The value of x within the given range is x = 45°.

We have the equation 2sin^2(x) = 1. To find the value of x within the given range, we can solve for sin(x) first and then find the corresponding angle.

Starting with 2sin^2(x) = 1, we divide both sides by 2 to get sin^2(x) = 1/2. Taking the square root of both sides, we have sin(x) = √(1/2). Since 0° < x < 90°, we know that sin(x) is positive in this range.

The value of √(1/2) is approximately 0.707. Therefore, sin(x) = 0.707.

To find the corresponding angle x, we can use the inverse sine function (sin^(-1)). Taking the inverse sine of both sides, we have x =[tex]sin^(^-^1^)^(^0^.^7^0^7^)[/tex].

Evaluating sin^(-1)(0.707) using a calculator, we find that x is approximately 45°.

Note that sine is a periodic function, and there are other angles that satisfy the equation 2sin^2(x) = 1. However, within the specified range of 0° < x < 90°, the value of x is 45°.

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Related Questions

I need help please with number 2 & 3...

Answers

Answer:

The answer for question 2 is, 3/8. The answer for question 3 is, 2/1.

Step-by-step explanation:

Question 2.

Since all the numerators are the same, the fraction with the smallest denominator is the largest. This means 3/8 is the answer.

Question 3.

Since all the denominators are one or the same, the smallest numerator is the answer. This means 2/1 is the answer.

find the missing factor
(2×3)+(2×9)=. (3+9)​

Answers

Answer: (2*3) = 6

(2*9) = 18       6+ 18 = 24

(3+9) = 12

Step-by-step explanation:

So whats missing is times 2 on the right side next to (3+9) *2

(2×3)+(2×9)=. (3+9)​*2

Ill give stars if correct.

Answers

I think the first one is 4 dollars
Because 30 divided by 4

What polynomial degree is 10n^2-n-1

Answers

the answer is : type here

Answer: 2

Step-by-step explanation:

The largest exponent next to a variable is your degree


Can someone tell me the answers
This is math by the way

Answers

Answer:

x>1/2

Step-by-step explanation:

2x+1−8x<8x−2−8x

−6x+1<−2

−6x+1−1<−2−1

−6x /−6 <

−3 /−6

x>1/2

What is the similarity theorem is being used?

Answers

If you divide the numbers on the bigger triangle by 5 you get the numbers on the smaller one

The value 2,000 is decreased to 100. What is the percent decrease?


percent decrease =

Answers

Answer:

95 percent decrease

Step-by-step explanation:

2000/100=5 percent. This means that for every 100 decrease, the percent decrease is 5 percent.

Since it decreased by 1900, 19 hundreds x 5 =95 percent decrease

If you liked my answer, a brainliest would much be appreciated! Thanks!

The value of 2,000 is decreased to 100. Then the percentage of decrease will be 95%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The value of 2,000 is decreased to 100. Then the percentage of decrease will be given as,

P = [(2,000 - 100) / 2,000] x 100

Simplify the expression, then we have

P = [(2,000 - 100) / 2,000] x 100

P = [1,900 / 2,000] x 100

P = 0.95 x 100

P = 95%

The value of 2,000 is decreased to 100. Then the percentage of decrease will be 95%.

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Enter the digits in numerical order, from least to greatest. Some digits will repeat. PLEASE HELP!!! This is due in 30 minutes

Answers

Answer:

I hope that will be helpful

Answer:

what do you need to do

Step-by-step explanation:

?

Does this set of ordered pairs represent a function? Why or why not. {(-1,5), (0 -3), (2, 7), (4, 0), (7, 5)}

Answers

Answer:

yes it is.

Step-by-step explanation:

because there isn't any repeated x.

so it is a function.

Anthony bought a rug for his office. He made a scale drawing of the office using a scale of 1 in = 4 ft.
What is the area of the office floor not covered by the rug?

Answers

Answer:

Area of the floor not covered = 240ft²

Step-by-step explanation:

Find the diagram attached

The area of the floor not covered = area of the office floor - area of the rug covered

Area of the office floor = 7in×5in = 35in²

Area of the rug = 5in×4in = 20in²

Area of the floor not covered = 35in²-20in² = 15in²

Since 1in = 4ft

1in² = 16ft²

Given the area of the floor not covered to be 15in²

In square feet will be 16×15 = 240ft²

2. Which of the following is equivalent to

Answers

The equivalent rational expression for this problem is given as follows:

[tex]gh\sqrt[3]{49h^2}[/tex]

How to obtain the equivalent rational expression?

The rational expression for this problem is given as follows:

[tex]\sqrt[3]{7g^3h^4} \times \sqrt[3]{7h}[/tex]

As we have the same root, which is the cubic root, we can multiply the terms inside the root, as follows:

[tex]\sqrt[3]{7^2g^3h^5}[/tex]

The subtraction of the exponents is given as follows:

3 - 3 = 0. (removes g from the root, remainder of zero).5 - 3 = 2. (removes h from the root, remainder of three).

As 7² = 49, and simplifying the above exponents, the equivalent expression is given as follows:

[tex]gh\sqrt[3]{49h^2}[/tex]

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PLS HELP
I BEG youuuu

Answers

Answer:

19 square units

Step-by-step explanation:

There are a LOT of different ways to solve this problem, most of which involve breaking up the shape into smaller shapes.  For me, it’s easier to draw a rectangle around the figure, find that area, and then subtract the four areas not in the figure.

Rectangle: would be from -3 to 3 (6) and -2 to 4 (6).  6x6=36

The four missing triangles:

AB = 1/2(3)(2)=3

BC = 1/2(2)(4)=4

CD = 1/2(2)(4)=4

DA = 1/2(4)(3)=6

6+4+4+3=17

36-17=19

help pls this is a missing assignment

Answers

Answer:

always

Step-by-step explanation:

Indirect proof.

Answer:

Always.

The only way an irrational number can become rational is if it’s multiplied by a irrational number.

Hope this helps!

(Sorry if I am wrong, I do apologize in advance, but if I'm right, Yay!)

Please Mark Brainliest if possible, thanks!

The table below shows the relationship between the side length of a square and the area. Complete the table. Then, determine if the length of the sides is proportional to the area.
Side Length
(inches)
Area
(square inches)
1
1
2
4
3

4

5

8

12

Is the length of the sides proportional to the area?

Answers

Answer:

32

Step-by-step explanation:

The answer is 32! I had it on a test

2.) 0.928
As scientific notation

Answers

Answer:

9.28·10^-1

Step-by-step explanation:

Answer:

9.28*10^-1

Step-by-step explanation:

Move the decimal back once to the right. That how you get 9.28 and that why its negative 1.

Find the probability of correctly answering the first 3 questions on a multiple choice test if
random guesses are made and each question has 4 possible answers.

Answers

Answer:

4

Step-by-step explanation:

describe the transformation of f(x)=x^3 to g (x)=-4 (x-1)^3+7

Answers

Answer:

ill help

Step-by-step explanation:

An ice cream cone measures 4 in across the opening of the cone. Two hemisphere shaped scoops of ice cream, which have diameters of 4in, are placed on top of the cone. As the ice cream melts, it begins to fill the ice cream cone. How deep must the cone be so that the melted ice cream will fill the cone exactly to the top without overflowing?​

Answers

Answer:

8 inches

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

Therefore, the sum of the volumes of the two hemisphere-shaped scoops of ice cream (with diameters of 4 inches), is equal to the volume of a sphere with diameter of 4 inches.

If the melted ice cream fills the cone exactly to the top without overflowing, the volume of the cone with diameter of 4 inches must be equal to the volume of a sphere with diameter of 4 inches.

As the diameter of a circle is twice its radius, then the radius of the sphere and cone is r = 2 inches.

The formulas for the volume of a cone and the volume of a sphere are:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]   [tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a sphere}\\\\$V=\dfrac{4}{3} \pi r^3$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius.\\\\\end{minipage}}[/tex]

The depth of the cone is its height.

Therefore, to calculate how deep the cone must be so that the melted ice cream will fill the cone exactly to the top without overflowing, set the two equations equal to each other, substitute r = 2, and solve for h (the depth of the cone).

[tex]\begin{aligned}\textsf{Volume of a cone}&=\textsf{Volume of a sphere}\\\\\dfrac{1}{3} \pi (2)^2 h & = \dfrac{4}{3} \pi (2)^3\\\\\dfrac{1}{3} \pi \cdot 4 h & = \dfrac{4}{3} \pi \cdot 8\\\\\dfrac{4}{3} \pi h& = \dfrac{32}{3} \pi \\\\\dfrac{4}{3} h& = \dfrac{32}{3} \\\\4 h& = 32 \\\\h&=\dfrac{32}{4}\\\\h&=8\; \sf inches\end{aligned}[/tex]

Therefore, the depth of the cone must be 8 inches.

The cone must be at least 8 inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing.

1. The opening of the ice cream cone has a diameter of 4 inches. This means that the radius of the cone's opening is 4/2 = 2 inches.

2. The two hemisphere-shaped scoops of ice cream have diameters of 4 inches each. This means that the radius of each scoop is 4/2 = 2 inches.

3. When the ice cream melts, it will take up the space between the scoops and fill the cone. In order for the melted ice cream to fill the cone exactly to the top without overflowing, the depth of the cone must be equal to the combined height of the two ice cream scoops.

4. The height of each hemisphere-shaped scoop can be calculated using the formula for the volume of a sphere, which is (4/3)πr³, where r is the radius.

  - For each scoop, the radius is 2 inches, so the height of each scoop is (4/3)π(2)³ = (4/3)π(8) = (32/3)π.

5. Since there are two scoops, the combined height of the two scoops is 2 * (32/3)π = (64/3)π.

6. Therefore, the cone must be at least (64/3)π inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing. This is approximately equal to 67.03 inches.

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What degree of rotation about the origin will cause the triangle below the map onto itself? A. 360* B. 270* C. 180* D. 90*

Answers

The rotation that would cause the triangle below the map onto itself is a 360° rotation.

What is an equation?

An equation is an expression that shows how numbers and variables are related to each other.

Rotation is a type of transformation that involves the flipping of a figure about a fixed point.

The rotation of a point by 360 degrees can be represented by the transformation (x, y) ⇒ (x, y). It maps itself

The rotation that would cause the triangle below the map onto itself is a 360° rotation.

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Help me with this problem please

Answers

Answer:

5n - 3

Step-by-step explanation:

3 less then 5 time a number (n)

first of all we know were subtracting

-3

and were multiplying 5 and a number

5n

in my mind the one thing that makes sense is

5n - 3

but the problem can be switched

-3 + 5n

[tex]\boxed{5n-3}[/tex]

Answer: To interpret this expression, we first identify that "3 less than 5" means that we are subtracting 3 from 5. Our equation looks like this:

5 - 3

Now, we add the variable. We would put n in front of 5, because the problem says "5 times a number n." It now looks like:

5n - 3

Your answer would be option A.

7h - 4h + 3, when h = -9

Answers

Answer:

-24

Step-by-step explanation:

Step 1: Define

7h - 4h + 3

h = -9

Step 2: Simplify

3h + 3

Step 3: Substitute and Evaluate

3(-9) + 3

-27 + 3

-24

Answer:

-24

Step-by-step explanation:

7h - 4h + 3

Combine like terms

3h+3

Let h=-9

3(-9) +3

-27+3

-24

please answer asap
3. 2. h 6-√2 √2506 a hk-√√/125 b. 5√10W'A Simplify the expression completely: 16 a 18² 26 6-√2 C. SA²²¹ √TOK d. 5-√//101 d. 12 2/2 KE 83 [1] [1] E

Answers

The expression given involves various terms and operations. To simplify it completely, each term needs to be evaluated and simplified. The given expression includes square roots, fractions, and exponentiation.

a. To simplify 16a, we need more information about the variable 'a' to provide a specific answer.
b. The expression 18² can be simplified as 324, since 18 squared equals 324.
c. For 26/(6 - √2), we can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator, which is 6 + √2. Simplifying this will result in (26(6 + √2))/(36 - 2) = (156 + 26√2)/34 = (78 + 13√2)/17.
d. SA²²¹ is an unknown term, so it cannot be simplified further without additional information.
e. The expression 5 - √(101) is already in its simplest form, since the square root cannot be simplified further.
f. The expression 12(2/2)(KE83) can be simplified as 12 * 1 * KE83 = 12KE83, assuming KE83 represents a known quantity.
In summary, the given expression involves various terms, some of which can be simplified, while others require additional information or are already in their simplest form.

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Guys please, I can't go to sleep until I finish this :(
A) Identify two points on the line and write the coordinate pairs below.
B) Use your two points to find the slope, and make sure to show your work.
C) Use your slope from Part B and find the equation of the line in point-slope form. Show your work and work through the steps to transform the equation from the point-slope form into the slope-intercept form.
D) Based on the equation you found in Part C, predict how long it takes Mr. Waxman to deliver his packages on Day 0. Approximately how much did his delivery time decrease per day?

Answers

Answer:

point a- (7,7)

point b- (4,19)

slope- m=-12/3=-4/1=-4

equation of line- y=4x+35

time - 48min on day 0, and it increases by 12min a day

Step-by-step explanation:

Answer:

(4,19) (7,7)

Slope = -4

Y=-4x+35 (This is point slope intercept form, sorry but could you please convert this?)

35 minutes, 4 minutes a day

Step-by-step explanation:

You take the coordinates you see for A, in this case, the last 2

The slope you find with the equation y2-y1/x2-x1, so substitute 7-19/7-4 = -12/3=-4.

As for this, (please convert I'll find out later but you need this answer now so....)

For 35 minutes, if you know your y intercept is 35, then it will be (0,35) for 5 minutes. Also, the slope is -4, so you know that it decreases by  4 minutes.

Assuming that data mining techniques are to be used in the following cases, identify whether the task required is supervised or unsupervised learning. If supervised learning, indicate if it would likely be framed as a regression or classification problem.

Deciding whether to issue a loan to an applicant based on demographic and financial data (with reference to a database of similar data on prior customers).
In an online bookstore, making recommendations to customers concerning additional items to buy based on the buying patterns in prior transactions.
Identifying segments of similar customers.
Estimating the repair time required for an aircraft based on a trouble ticket.
Automated sorting of mail by zip code scanning

Answers

1. This task would likely be framed as a supervised learning problem

2. This task would also be framed as a supervised learning problem.

3. This task would typically be framed as an unsupervised learning problem.

4. This task would likely be framed as a regression problem since the goal is to estimate the repair time,

5. This task can be considered as an unsupervised learning problem.

Deciding whether to issue a loan to an applicant based on demographic and financial data (with reference to a database of similar data on prior customers):

This task would likely be framed as a supervised learning problem. The goal is to predict whether to approve or reject a loan application based on the given data. Hence, it can be considered a classification problem.

In an online bookstore, making recommendations to customers concerning additional items to buy based on the buying patterns in prior transactions:

This task would also be framed as a supervised learning problem. The goal is to recommend additional items to customers based on their buying patterns. It can be approached as a recommendation system using collaborative filtering techniques, which involve predicting customer preferences. This can be considered a classification problem.

Identifying segments of similar customers:

This task would typically be framed as an unsupervised learning problem. The objective is to identify groups or clusters of similar customers based on their attributes or behaviors. Unsupervised learning algorithms such as clustering can be used to accomplish this task.

Estimating the repair time required for an aircraft based on a trouble ticket:

This task would likely be framed as a regression problem since the goal is to estimate the repair time, which is a continuous variable. Supervised learning techniques such as regression algorithms can be employed to predict the repair time based on the provided input features.

Automated sorting of mail by zip code scanning:

This task can be considered as an unsupervised learning problem. The aim is to sort mail based on zip codes, which involves grouping similar items together. Unsupervised learning algorithms like clustering can be utilized to identify patterns and group the mail accordingly.

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Ms. Jones bought volleyball tickets online. The ticket company charges a
processing fee of $1.50. The total cost of purchasing the tickets online, including
the processing fee, is $23.55. If the tickets are $7.35, how many tickets did she
buy? (ONLY TYPE A NUMBER INTO THE ANSWER BOX] *

Answers

Answer:

3 tickets

Step-by-step explanation:

Herron’s backpack weighs 10 kilograms. Errol has a backpack that weighs 23 as much as Herron’s backpack. What is the correct estimate of the weight of Errol’s backpack?

Answers

Answer:

the correct estimate of the weight of Errol's backpack would be 33

Step-by-step explanation:

you just need to add 10 and 23.

Hard question: there are many partially mixed strategy Nash equilibria here. Try to think of when players are indifferent between their strategies. In each of the following games, find all the pure and mixed strategy Nash equilibria. Golden Balls Player 2 Split Player 1 Split 50,50 Steal 100,0 Steal 0,100 0,0

Answers

in the Golden Balls game, there is only one pure strategy Nash equilibrium, which is (Split, Split).

In the Golden Balls game, there are two players, Player 1 and Player 2. Each player can choose to either "Split" or "Steal." The payoffs for each possible combination of actions are as follows:

If both players choose Split, they both receive a payoff of 50.

If Player 1 chooses Steal and Player 2 chooses Split, Player 1 receives 100, and Player 2 receives 0.

If Player 1 chooses Split and Player 2 chooses Steal, Player 1 receives 0, and Player 2 receives 100.

If both players choose Steal, they both receive a payoff of 0.

To find all the pure strategy Nash equilibria, we need to identify any strategies where neither player has an incentive to deviate unilaterally.

Pure Strategy Nash Equilibria:

(Split, Split): This is a pure strategy Nash equilibrium because if both players choose Split, neither player can improve their payoff by unilaterally changing their strategy to Steal.

Now let's consider mixed strategy Nash equilibria, where players randomize between their available strategies.

Mixed Strategy Nash Equilibrium:

To find the mixed strategy Nash equilibrium, we need to examine whether there exists a probability distribution over strategies that maximizes the expected payoff for each player, given the other player's strategy.

In this case, there is no mixed strategy Nash equilibrium since Player 2's expected payoff from choosing Split is always lower than the expected payoff from choosing Steal, regardless of the probabilities assigned to each strategy by Player 1. Similarly, Player 1's expected payoff from choosing Split is always lower than the expected payoff from choosing Steal, regardless of the probabilities assigned to each strategy by Player 2.

Therefore, in the Golden Balls game, there is only one pure strategy Nash equilibrium, which is (Split, Split).

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Examine the diagrams below. What is the angle pair relationship between the labeled angles? Use the relationship to write an equation and solve for x.

Answers

Answer:

4x-15+6x-35=180

Step-by-step explanation:

4x−15+6x−35=180

Step 1: Simplify both sides of the equation.

4x−15+6x−35=180

4x+−15+6x+−35=180

(4x+6x)+(−15+−35)=180(Combine Like Terms)

10x+−50=180

10x−50=180

Step 2: Add 50 to both sides.

10x−50+50=180+50

10x=230

Step 3: Divide both sides by 10.

10x/10=230/10

Answer:10x

Step-by-step explanation: 6x+4x=10x

Find Perimeter: SQUARE with sides that are each 5 inches in length

Answers

If we’re talking 2d it would be 20inches, 3D it would be 120inches

Answer:

20 inches

Step-by-step explanation:

a square has 4 equal sides, so you can add 5+5+5+5 to find the sum of all the side lengths.

use the graph below to fill in the blank with the correct number: f(-2)= _____

Answers

Answer:

f(-2) = 2

Step-by-step explanation:

f(-2) is equal to x = -2.

When x = -2, y = 2

Therefore, f(-2) = 2

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