PERSEVERE Find the value of x. Round to the nearest ten thousandth, if necessary.

PERSEVERE Find The Value Of X. Round To The Nearest Ten Thousandth, If Necessary.

Answers

Answer 1

The value of x in the triangle is 8.8493 units.

How to solve for the value of x in the triangle?

Trigonometry deals with the relationships between the sides and angles of triangles.

The three primary trigonometric functions are sine, cosine, and tangent, which are ratios of the sides of a right triangle. These functions are often abbreviated as sin, cos, and tan.

Using the given triangle:

11.6² =  x² + 7.5²    (Pythagoras theorem)

x² = 11.6² - 7.5²

x² = 78.31

x = √78.31

x = 8.8493 units

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Related Questions

Question 1 of 5
Find the measure of the exterior 21.
80°
65
OA. 145°
OB. 35°
O C. 15°
O D. 1001

Answers

Answer:

the answer is 145°

Step-by-step explanation:

the sum of other two non adjecent interior angle are equal to remot exterior angle . so 80° + 65° = 145°

A letter is chosen randomly from the word CANDLESTICK.
Find each probability.
4. P(a vowel)
5. P(N or S)
6. P(not C)

Answers

The probabilities for the given events are:

P(a vowel) = 3/11

P(N or S) = 2/11

P(not C) = 9/11

How to find the probabilities?

The probability is given by the quotient between the outcomes that meet the event and the total possible outcomes.

In Candlestick there are 11 letters.

4) There are 3 vowels, then this probability is:

P(a vowel) = 3/11

5) The letters N and S appear 2 times, then the probability is:

P(N or S) = 2/11

6) The letter C appears 2 times, then the other 9 letters are not C, so the probability is:

P(not C) = 9/11

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solve the system equation. 8x-3y=3 3x - 2y = -5

Answers

The solution to the system equation after it is solved, would be x = 3 and y = 7.

How to solve the system equation ?

To solve the given system of linear equations:

8x - 3y = 3

3x - 2y = -5

We can use the method of substitution or elimination. In this case, I will use the elimination method.

First equation x 2:

16x - 6y = 6

Second equation x 3:

9x - 6y = -15

Now, subtract the second equation from the first equation to eliminate the y variable:

(16x - 6y) - (9x - 6y) = 6 - (-15)

16x - 9x = 21

7x = 21

x = 21 / 7

x = 3

Next, substitute the value of x back into either of the original equations to find the value of y.

8x - 3y = 3

8(3) - 3y = 3

24 - 3y = 3

-3y = -21

y = -21 / -3

y = 7

So, the solution to the system of equations is x = 3 and y = 7.

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Quick question need help

Answers

Answer:

18.8651

Step-by-step explanation:

(im not the best at explaining, so sorry if i dont explain it well, but ill try!)

so rounding a number to a certain amount of sig figs is a pretty easy concept to grasp, in my opinion.

ex: lets say you need to round 231.45 to 3 sif figs.

basically what you have to do in this situation is count the digits up to you get to the 3rd digit.

check if the digit that follows it is smaller or bigger than 5 to see if the 3rd number will stay the same or has to go up a number.

for this problem the third digit is 1, and the digit that follows it is 4. but 1 is less than 4, so that means that it will stay as 1.

thus the answer would be 231.

if that didnt make sense, comment on my answer and ill try to give you more examples

How do you find the absolute maximum and absolute minimum of a function using the closed interval method?

Answers

To find the absolute maximum and absolute minimum of a function using the closed interval method.

Determine the function, f(x), and the closed interval [a, b].
Calculate the critical points of the function by finding the derivative, f'(x), and setting it equal to zero.

Solve for x to find the critical points.

Keep in mind that only the critical points within the closed interval are relevant to this problem.
Evaluate the function, f(x), at the critical points and the endpoints of the closed interval, a and b.
Compare the function values obtained in step 3.

The highest value corresponds to the absolute maximum, and the lowest value corresponds to the absolute minimum.
Identify the points (x, f(x)) corresponding to the absolute maximum and absolute minimum.

These points represent the locations and values of the absolute maximum and absolute minimum on the given closed interval.

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What is 15.98 round to the nearest tenth

Answers

Answer:

16

Step-by-step explanation:

To round 15.98 to the nearest tenth, we look at the digit in the hundredths place which is 8. Since 8 is greater than or equal to 5, we round up the digit in the tenths place which is 9. Therefore, rounding 15.98 to the nearest tenth gives us 16.

Answer:

16

Step-by-step explanation:

15 . 98

8 round up is 10

0.10 + 0.9 = 1

15 + 1 = 16

if you throw exactly two heads in two tosses of a coin you win $120 . if not, you pay me $37 . step 2 of 2 : if you played this game 742 times how much would you expect to win or lose? round your answer to two decimal places. losses must be expressed as negative values.

Answers

If we throw, a coin in twice, then pay off for throw exactly two heads is $120. The expected win value in the game in 742 trials is equals to the $1669.5.

We have to two tosses a coin and we gift with payouts according to results of tossing. When we throw exactly two heads in two tosses of a coin, then pay out is $120. If not throw two heads then payout is $37… Now, number of times we play the game that is trials = 742

We have to determine value of expected value to win or loss for 742 trials. First we determine the excepted value of proposition. Total possible outcomes on two tosses of a coin = 4 = {HH,TT, HT, TH}

Probability of throwing two heads = 1/4

= 0.25

Probability of not throwing two heads

= 1 - 1/4 = 3/4 = 0.75

That is when x (pay off) = $120, P( x)

= 0.25 ; x (payout) = -$37, P( X) = 0.75. Now, the excepted value formula is written as, [tex]E( x) = \sum x× P(x) [/tex]

= $120 × 0.25 - $37 ×0.75

= $2.25

So, the expected value of win with 575 trials of gane = 2.25 × 742

= 1669.5

Hence, required excepted win value is $1669.5.

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the time series component that reflects the random changes in a time series that are not caused by any other components, and tends to hide the existence of the more predictable components, is called:

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The time series component that reflects the random changes in a time series that are not caused by any other components, and tends to hide the existence of the more predictable components, is called the "random" or "irregular" component.

It represents the noise or fluctuations in the time series that cannot be explained by any of the other components, such as trend, seasonality, or cyclical variations. The irregular component is also known as the "white noise" or "error" component, and it is typically modeled as a random process with zero mean and constant variance. It is important to separate out the irregular component from the other components in order to identify the underlying patterns and trends in the time series, and to make accurate forecasts and predictions.

what is white noise?

In time series analysis, "white noise" refers to a random process where the values at each point in time are independently and identically distributed with a mean of zero and a constant variance.

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Determine the odds of rolling TWO 6-sided dice, and getting a total between the two dice that is a multiple of three. (10 pts.)

Answers

The odds of rolling two 6-sided dice and getting a total between the two dice that is a multiple of three are approximately 31%.

To determine the odds of rolling two 6-sided dice and getting a total between the two dice that is a multiple of three,

we first need to identify the possible outcomes. The possible sums of rolling two dice range from 2 to 12. We then need

to find the multiples of three within that range, which are 3, 6, 9, and 12.

Next, we need to find the number of ways that we can roll each of these multiples of three. To do this, we can create a

chart:
Sum | Ways to roll
---|---
3 | 1
6 | 5
9 | 4
12 | 1

So there are a total of 11 ways to roll a multiple of three with two dice.

To find the odds, we need to divide the number of favorable outcomes (11) by the total number of possible outcomes

when rolling two dice (36), and then convert the fraction to a percentage or a ratio.

11/36 = 0.3056 or approximately 31%

Therefore, the odds of rolling two 6-sided dice and getting a total between the two dice that is a multiple of three are approximately 31%.

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Which of the following is a statistical question with categorical data?

Question 1 options:

A. Do you have five siblings?


B. What color eyes do you have?


C. What is the favorite subject of sixth graders at my school?

D. What is Mrs. Christmas's favorite subject?

Answers

Answer:

A

Step-by-step explanation:

because when we say statical data we mean numerical data (asking u about number) so the answer yes i have 5 or no they r more or less.

C because this is an answer that provides actual data rather than a number sense

Karissa purchased a set of LED lights online that normally sells for $90.00 but was marked down to $67.50. What is the discount rate Karissa received? (2 points)
O 10%
13%
25%
75%

Answers

The discount rate Karissa received can be calculated as follows:
Discount = Original Price - Discounted Price = $90.00 - $67.50 = $22.50
Discount Rate = (Discount / Original Price) x 100% = ($22.50 / $90.00) x 100% = 25%
Therefore, Karissa received a 25% discount.

Buddy punted a football during game on Friday. The height of a punted football can be modeled with the quadratic function h(x) = −.02x2 + 1.2x + 4 where x is the horizontal distance in feet from the point of impact with the kicker's foot and h is the height of the ball in feet. Buddy calculated the maximum height of his punt in the box below. Is his answer correct? If not, explain and correct the error in the your work column.

Answers

Buddy's answer of 19 feet for the maximum height of his punt is correct, based on the given quadratic function.

How to solve the question?

To determine the maximum height of the punt, we need to find the vertex of the parabolic function h(x) = −.02x² + 1.2x + 4, which represents the height of the football at any given horizontal distance x from the point of impact.

The vertex of a parabola in the form y = ax² + bx + c can be found using the formula x = -b / 2a, which gives the x-coordinate of the vertex, and then substituting that value into the function to find the corresponding y-coordinate.

In this case, we have a = -.02, b = 1.2, and c = 4. So the x-coordinate of the vertex is x = -b / 2a = -1.2 / (2*(-.02)) = 30, and the corresponding maximum height is h(30) = -.02(30)2 + 1.2(30) + 4 = 19 feet.

Therefore, Buddy's answer of 19 feet for the maximum height of his punt is correct, based on the given quadratic function.

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help me please before i have to submit it

Answers

Answer:

Based on the information provided that one corner of the parallelogram measures 128 degrees, we can determine the measures of the other three angles x, y, and z.

In a parallelogram, opposite angles are congruent, which means that x and z are congruent to 128 degrees.

So, x = z = 128 degrees.

The sum of the measures of the interior angles of a parallelogram is always 360 degrees. Since x and z both measure 128 degrees, the sum of x and z is 2 * 128 = 256 degrees.

Therefore, we can find the measure of y by subtracting the sum of x and z from 360 degrees:

360 degrees - 256 degrees = 104 degrees

So, y measures 104 degrees.

To summarize:

x = z = 128 degrees

y = 104 degrees

A box for a loaf of
sandwich bread
10 inches long
and 5 inches
wide. The loaf is
5 inches tall.

Answers

Answer: I'm not really sure what you're trying to find but 250in³

Step-by-step explanation:

10in x 5in x 5in = 250 in³

Mitchell reads only mysteries and sports books. Last year, he read 5 mysteries for every 2 sports books. If Mitchell read 12 more mysteries than sports books, how many mysteries did he read?

Answers

Let's start by setting up some equations to represent the information given in the problem.

Let's assume that Mitchell read x sports books last year. According to the problem, he read 5 mysteries for every 2 sports books, so he must have read (5/2)x mysteries.

We also know that he read 12 more mysteries than sports books, so:

(5/2)x - x = 12

Simplifying this equation, we get:

(3/2)x = 12

Multiplying both sides by 2/3, we get:

x = 8

So Mitchell read 8 sports books last year. To find out how many mysteries he read, we can use the equation we derived earlier:

(5/2)x = (5/2)(8) = 20

Therefore, Mitchell read 20 mysteries last year.

On October 31, Pidgeon Stones Inc. , a marble contractor, issued for cash 320,000 shares of $5 par common stock at $12, and on November 19, it issued for cash 45,000 shares of preferred stock, $60 par at $72

Answers

The journal entries fro the transaction for October 31 and November 19 are as follows:

Data   Account titles                           Debit      Credit

Oct. 31: Cash                                              $3,840,000

             ($12 x 320,000)

                       Common Stock                                      $1,600,000

                       ($5 x 320,000)

                       Paid-In Capital in Excess of Par-com.   $2,240,000  

                       ($3,840,000 - $1,600,000)

Data   Account titles                         Debit   Credit

Nov. 19: Cash                                            $3,240,000

              ($72 x 45,000)

                       Preferred Stock                                     $2,700,000

                        ($60 x 45,000)

                       Paid-In Capital in Excess of Par-Pre.    $540,000

                        ($3,240,000 - $2,700,000)

Full question "On October 31, Pidgeon Stones Inc. , a marble contractor, issued for cash 320,000 shares of $5 par common stock at $12, and on November 19, it issued for cash 45,000 shares of preferred stock, $60 par at $72. Journalize the entries for October 31 and November 19".

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Suppose a house has a floor area of 2,250 square feet. What is this area in units ofsquare centimeters?A) 2.42 cm2 D) 6.86 × 104 cm2B) 2.09 × 106 cm2 E) 101 cm2C) 5.02 × 104 cm2

Answers

The area in units of square meter is 2,090,318.4 sq cm,  under the given condition that  a house has a floor area of 2,250 square feet. So , the correct option from the following is  Option B.

To convert 2,250 square feet to square centimeters, we can use the conversion factor of 1 square foot = 929.0304 square centimeters⁵. Therefore,

2,250 sq ft = 2,250 x 929.0304 sq cm/ sq ft = 2,090,318.4 sq cm.

The area in units of square meter is 2,090,318.4 sq cm,  under the given condition that  a house has a floor area of 2,250 square feet. So , the correct option from the following is  Option B.

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Find the solution set of the inequality 4 � − 1 < 11. 4x−1<11.

Answers

Therefore , the solution of the given problem of inequality comes out to be  x< 3, which denotes that x can be any real number below 3.

What is inequality, exactly?

The distinction in algebra can be expressed by an amalgamation or set of two numbers since there is no indicator for it. Equity usually comes after equilibrium. The persistent gap in standards is what causes inequality. Disparity and equality are not the same thing. As was the least favourite symbol, despite the fact that its components are typically neither connected nor adjacent to one another.

Here,

We can use the procedures listed below to solve the inequality 4x - 1 11:

To isolate the term with x on one side of the inequality, add 1 to both sides of the inequality in step 1:

=> 4x - 1 + 1 < 11 + 1 4x < 12

Step 2: To find x, multiply both sides of the inequality by 4.

=> 4x/4 < 12/4 x < 3

The answer to the inequality 4x - 1 11 is therefore x< 3, which denotes that x can be any real number below 3.

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Verify that fxy = fyx for the following function. f(x,y)=e*+y+3

Answers

To verify that fxy = fyx for the given function f(x,y)=e^(x+y+3), we need to find the partial derivatives of f with respect to x and y, and then check if they are equal.

Let's begin by finding the partial derivative of f with respect to x (f_x): f_x = (∂f/∂x) = (∂/∂x) e^(x+y+3) = e^(x+y+3) * (∂/∂x) (x+y+3) [using chain rule] = e^(x+y+3)

Now, let's find the partial derivative of f with respect to y (f_y): f_y = (∂f/∂y) = (∂/∂y) e^(x+y+3) = e^(x+y+3) * (∂/∂y) (x+y+3) [using chain rule] = e^(x+y+3)

Now, let's find the mixed partial derivative of f with respect to x and y (f_xy): f_xy = (∂^2 f/∂y∂x) = (∂/∂y) e^(x+y+3) = e^(x+y+3) * (∂/∂y) (x+y+3) [using chain rule] = e^(x+y+3)

Similarly, the mixed partial derivative of f with respect to y and x (f_yx) can be found as: f_yx = (∂^2 f/∂x∂y) = (∂/∂x) e^(x+y+3) = e^(x+y+3) * (∂/∂x) (x+y+3) [using chain rule] = e^(x+y+3)

Now, we can see that fxy = fyx, as both are equal to e^(x+y+3). Hence, we have verified that the given function f(x,y)=e^(x+y+3) satisfies the condition fxy = fyx.

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Help please need answers now (with solutions too please)

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The probability of drawing two hearts without replacement is 0.0588. The probability of drawing an ace followed by a king without replacement is 0.006.

What is probability?

Probability is a way to gauge how likely or unlikely something is to happen. Usually, it is stated as a number between 0 and 1, where 0 denotes that an event is impossible and 1 denotes that it is certain to happen.

According to question:

6) To find the probability of drawing two hearts without replacement, we can use the formula:

P(two hearts) = (number of ways to choose 2 hearts) / (number of ways to choose 2 cards from a deck)

As there are 13 hearts in a standard deck of 52 cards, the number of ways to choose 2 hearts is given by the combination:

13 choose 2 = 13! / (2! * (13-2)!) = 78

The number of ways to choose 2 cards from a deck of 52 cards is:

52 choose 2 = 52! / (2! * (52-2)!) = 1326

Therefore, the probability of drawing two hearts without replacement is:

P(two hearts) = 78 / 1326 ≈ 0.0588 (rounded to four decimal places)

7) To find the probability of drawing an ace followed by a king without replacement, we can use the formula:

P(ace, then king) = P(ace) * P(king|ace not drawn)

The probability of drawing an ace is given by:

P(ace) = 4/52 = 1/13

After drawing an ace from the deck, there are 51 cards remaining, of which 4 are kings. Therefore, the probability of drawing a king given that an ace has not been drawn is:

P(king|ace not drawn) = 4/51

Hence, the probability of drawing an ace followed by a king without replacement is:

P(ace, then king) = (1/13) * (4/51) ≈ 0.006 (rounded to three decimal places).

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two dice are rolled sequentially. what is the probability that the first die shows six and the other die shows an odd number?

Answers

Step-by-step explanation:

probability that the first die shows six = 1/6

probability that the other die shows an odd number = 1/2

a tetrahedral die is an equilateral triangular pyramid. the base edge of the tetrahedral die is 26 millimeters and the height it 20 millimeters. what is the surface area of the tetrahedral die to the nearest ten square millimeters?

Answers

Answer:1,041

Step-by-step explanation:

The surface area of the tetrahedral die is 1353 square millimeters

To find the surface area of the tetrahedral die, we need to find the area of each of the four equilateral triangular faces and add them together.

The formula for the area of an equilateral triangle is A = (√(3)/4) x s², where s is the length of the side.

In this case, the base edge of the tetrahedral die is 26 millimeters, so the length of each side of the equilateral triangles is also 26 millimeters.

Using the formula for the area of an equilateral triangle, we can find the area of one face:

A = (√(3)/4) x 26²

A = 338.3 square millimeters (to the nearest tenth)

Since there are four faces, we can multiply the area of one face by 4:

4 x 338.3 = 1353.2 square millimeters

Therefore, the surface area of the tetrahedral die is approximately 1353 square millimeters (to the nearest ten square millimeters).

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The angle of elevation from object A to object B is always
the,(__________) the angle of depression from object B to object A.

A. Greater Than
B. Less Than
C. Equal to
D. Unrelated to

Answers

C
Angle of elevation = angle depression

Charles correctly answered 23 questions on a test, receiving a grade of 92%. How many questions were on the test?

Answers

Answer:

Let's start by using a proportion to find the total number of questions on the test. We know that Charles answered 23 questions correctly and received a grade of 92%, which means he missed 8% of the questions.

Let x be the total number of questions on the test. Then 8% of the questions that Charles missed can be expressed as 0.08x.

The number of questions that Charles answered correctly plus the number of questions he missed must add up to the total number of questions on the test:

23 + 0.08x = x

Simplifying and solving for x, we get:

0.92x = 23

x = 23 / 0.92

x ≈ 25

Therefore, the total number of questions on the test was approximately 25.

Vectors u and v are shown in the graph. vector u with initial point at the origin and terminal point at negative 10 comma negative 7 and vector v with initial point at the origin and terminal point at negative 8 comma 4 What is
[tex]proj _{v}u[/tex]
?​

Answers

Answer:

im sorry i couldnt help myself

Step-by-step explanation:

Find x and y out of these equations written below
7x+4y=12
x+2y=-4

Answers

Answer: 7x+4y=12 answer is x = (12/7, 0) and y (0,3) and the x+2y=-4 is

x intercepts (-4,0) and y intercepts is (0,-2)

Step-by-step explanation:

Add to one side and then divide

What are the measures of ∠1 and ∠2?

Answers

The measure of angle 1 is 67.4°. The measure of angle 2 is 104.5°.

What is angle?

An angle is the measure of the amount of rotation between two lines or two planes that meet at a point. It is typically measured in degrees or radians. An angle can be acute, meaning it is less than 90 degrees, right, meaning it is exactly 90 degrees, obtuse, meaning it is greater than 90 degrees but less than 180 degrees, or straight, meaning it is exactly 180 degrees. An angle can also be positive or negative, depending on the direction of rotation between the lines or planes. Angles are used in various fields such as mathematics, engineering, physics, and geometry.

Here,

180-121.8=58.2°

180-(58.2+17.3)=104.5°

180-104.5=75.5°

180-(75.5+37.1)=67.4°

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Can someone help me w this problem

Answers

The transformations of the functions compared to the parent function are given as follows:

C. Reflection over the x-axis, vertical stretch by a factor of 2, and shift right units.

What is a translation?

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.

The parent function for this problem is given as follows:

y = sqrt(x).

Hence the transformations are given as follows:

Reflection over the x-axis -> multiplication by a negative number.Vertical stretch by a factor of 2 -> multiplication by a number with absolute value of 2.Shift right of 5 units: x -> x - 5.

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Find the area of the figure. Split each part up and fin the area + add them together SHOW WORK PLS

Answers

The area of the fiqure is 132 cm².

What is area?

Area is the region bounded by a plane shape.

To calculate the area of the figure, we use the formula below

Formula:

A = Area of the rectangle+ Area of the triangle+Area of the tripeziumA = LW+bh/2+h(A+B)/2...................... Equation 1

Where:

L = Length of the rectangleW = Width of the rectangleb = Base of the triangleh = Height of the triangle = Height of the tripeziumA, B = The two parallel sides of the tripezium

From the diagram,

Given:

W = 4 cmL = 7 cmh = 8 cmb = 6 cmA = 7 cmB = 13 cm

Substitute these values into equation 1

A = (4×7)+(6×8/2)+8(7+13)/2A = 28+24+80A = 132 cm²

Hence, the area is 132 cm².

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We collect these data from 50 male students. Which variable is categorical? a. number of cigarettes smoked daily b. head circumference
c. hours of homework last week d. eye color e. number of TV sets at home

Answers

d. Eye color is the categorical variable.

A categorical variable is a variable that takes on values that are categories or groups. In this case, eye color is a categorical variable because it takes on values that are categories, such as blue, brown, green, etc.

The other variables listed are quantitative variables. Number of cigarettes smoked daily, head circumference, hours of homework last week, and number of TV sets at home all take on numerical values that can be measured or counted.
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