what is the single power of 10 for 10^5*10^0

Answers

Answer 1

Answer: If we resolve, 10 to the power of 5 means 100,000.

Step-by-step explanation:


Related Questions

HELP ASAP PLEASE 100 POINTS

What influenced Denis to write the first non-objective statement? (You must use one quote from his article the Definition of Neotraditionism)

What factors led Kandinsky to arrive at non-objective painting? (You must give at least one quote from Concerning the Spiritual in Art, and list the page number.

What did Kandinsky write about color? (You must give at least one quote from Concerning the Spiritual in Art - Part II. About Painting, VI: The Language of Form and Color and give the page number.)

Answers

With regard to Neotraditionism, Denis' influence to write the first state  what was not objective comes from the desire to "put an end to all kind of naturalism and illusion" "Purely Plastic Art"

How is this so?

In order to create truly original works of art that went beyond what they saw as stagnating traditions of representation and illusionism both Denis and Kandinsky had their own unique visions for what constituted true artistic expression

Denis wanted to create a "purely plastic art" that would transcend nature altogether (Denis, 1890).

While Kandinsky believed that color held within it an almost mystical power capable of evoking deep emotions: "Color is...the soul is...the artist is..." he wrote poetically (p. 44).

Learn more abut Neotraditionism:
https://brainly.com/question/14767214
#SPJ1

Find dy/dx when y = ( 2x+1)^3

Answers

dy/dx= 3(2x+1)^2 *2
Bring the exponent down and do the derivative of the inside (chain rule)
dy/dx= 6(2x+1)^2

Approximate the direction angle of the vector 4i+ 4j-2k.

Answers

The approximate direction of the angle of the vector is determined as 45 degrees.

What is the direction of the angle of the vector?

The approximate direction of the angle of the vector is calculated by applying the following formula for direction of a vector as follows;

The formula for the direction of a vector is given as;

tan θ = Vy / Vx

where;

Vy is the y component of the vectorVx is the x component of the vector

The vector is given as;

V = 4i + 4j - 2k

The y component = 4, and the x component = 4

The direction of the vector is calculated as;

tan θ = 4 / 4

tan θ = 1

θ = arc tan (1 )

θ = 45⁰

Learn more about direction of vector here: https://brainly.com/question/27854247

#SPJ1

Converting a Repeating Decimal into a Fraction

Answers

Through the work that was shown, you have

     999x = 393

If you divide both sides of the equation by 999, you'd have

     [tex]x=\dfrac{393}{999} = \dfrac{131}{333}[/tex]

So, [tex]0.\overline{393} =\dfrac{131}{333}[/tex]

Find the perimeter of the rentangle ABCD ​

Answers

Answer:

26 units

Step-by-step explanation:

AD = 9 -2 = 7 units long. BC is the same. so we have 2 X 7 = 14.

DC is 9 - 3 = 6 units long. AB is the same. so we have 2 X 6 = 12.

perimeter = 14 + 12 = 26 units

14in Find the area. 19in 13in A = [?] in² Enter​

Answers

The value of the area of a triangle is equal to 133 in^2.

We are given that;

Dimensions= 19in 13in

Now,

To determine the area of a triangle, we can use the formula A = (1/2) bh, where b is the base and h is the height.

The base and the height are the sides that are perpendicular to each other. For example, the area of a right triangle with base 12 in and height 9 in is;

A = (1/2) * 12 * 9

A = 54 in^2.

To find the area of the given triangle, we need to identify the base and the height. The base could be any side of the triangle, but the height must be perpendicular to it. In this case, we can choose the side with length 19 in as the base, and the side with length 14 in as the height. Using the formula, we get:

A = (1/2) * b * h

A = (1/2) * 19 * 14

A = 133 in^2

Therefore, by the area, the answer will be 133 in^2.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ1

Here's a box plot that summarizes the number of math questions on Ms. O'Brien's homework assignments.
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1, labeled Number of questions. A left whisker extends from 6 to 9. The box extends from 9 to 14 and is divided into 2 parts by a vertical line segment at 11. The right whisker extends from 14 to 18. All values estimated.
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1, labeled Number of questions. A left whisker extends from 6 to 9. The box extends from 9 to 14 and is divided into 2 parts by a vertical line segment at 11. The right whisker extends from 14 to 18. All values estimated.
Find the range of the data.
questions

Answers

Answer:

The range of the data is 12

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

The range of the data is the difference of maximum and minimum values.

According to description of the box plot, the minimum value is 6 and maximum value is 18.

Hence the range is:

Range = 18 - 6 = 12

Match each system on the left with all words that describe the system on the right. Choices on the right can be used more than once.

Answers

By rewriting the 3 given systems, we will see that:

1) Independent and inconsistent.

2) Independent and consistent.

3) Independent and inconsistent..

Let's analyze each system.

Let's look at the first one, we can rewrite it as:

y = 3x - 1

And, 2y - 6x = 4

2y = 6x + 4

y = 3x + 2

Here both lines have the same slope, so the lines never do intersect, meaning that the system is inconsistent and independent.

Now let's look at the second system, we can rewrite it as:

2y = - x + 6

And, 4y + 2x = 12

y = - 1/2x + 3

So, the slopes are different, meaning that we have one solution, so this system is consistent and independent.

For the final system we have:

y = 2x + 3

x + y = - 9

So, the slopes are different, meaning that we have one solution, so this system is consistent and independent.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

Given a mean of 34 and a standard deviation of 5. Find the following z-scores.

Answers

The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.

To find the z-scores, we need to use the formula:

z = (x - μ) / σ

where:

z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.

Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:

z = (39 - 34) / 5

z = 5 / 5

z = 1

So, the z-score for the raw score of 39 is 1.For a raw score of 30:

z = (30 - 34) / 5

z = -4 / 5

z = -0.8

The z-score for the raw score of 30 is -0.8.

For such more questions on Standard deviations:

https://brainly.com/question/24298037

#SPJ11

Find the volume of the figure. Use 3.14 for . 12 cm 14 cm

Answers

The volume of the figure is V = 5,730.265 cm³

Given data ,

Let the figure be represented as V

Now , the figure consists of a cone and hemisphere

So , V = Volume of cone + volume of hemisphere

where height = 14 cm

And , radius r = 12 cm

On simplifying , we get

V = ( 1/3 ) πr²h + ( 2/3 )πr³

V = ( 1/3 ) ( 3.14 ) ( 12 )² ( 14 ) + ( 2/3 ) ( 3.14 ) ( 12 )³

V = 2,111.15026 + 3,619.1147369

On further simplification , we get

V = 5,730.265 cm³

Hence , the volume is V = 5,730.265 cm³

To learn more about cone click :

https://brainly.com/question/1984638

#SPJ1

The complete question is attached below :

Find the volume of the figure. Use 3.14 for . 12 cm 14 cm

Find the volume of the triangular prism.


4 cm
6 cm
5 cm

Answers

Answer:

48

Step-by-step explanation:

Volume of triangular prism =1/2 bhl

=1/2 (4cm)(6cm)(4cm)

=48

{ (-2, 4), (0, 2), (-1, 3), (4, -2)}
The set of ordered pairs above:
DONE
Domain
-3
4
-1
5
Range
3
7
-2
The mapping diagram above:
DONE
y=x²
DONE
x
-3
-1
y
5
2
-1
The table above:
DONE ✔

Answers

The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

What is a function?

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

Read more on function here: brainly.com/question/27862183

#SPJ1

fine the nth term of 11,13,15,17

Answers

The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Learn more about the Arithmetic sequence visit:

https://brainly.com/question/6561461

#SPJ1

The repeated experiment is drawing two cards with replacement from a deck containing 3 red and 2 yellow cards.

Approximately how many times will the event that both cards are yellow will occur in 400 simulations of the repeated experiment?

Enter your answer in the box.

Answers

The number of times two yellow cards occurred in 400 simulations of the repeated experiment. will be 64.

The probability of getting yellow is calculated as,

P(YY) = 2/5 x 2/5

P(YY) = 4/25

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

The expected value is calculated as,

E(YY) = 400 x 4/25

E(YY) = 64

More about the expected value link is given below.

https://brainly.com/question/13945225

#SPJ1

Select the rule the describes the transformation shown below

Answers

Note that the rule that describes the transformation shown is: (x,y) → (x+7,-y)(Number 2)

We have,

A transformation is a broad phrase covering four distinct methods of changing the shape and/or location of a point, line, or geometric figure. The Pre-Image is the original shape of the item, and the Image is the final shape and location of the object after the transformation.

Thus, with regard to the transformation above,

At Point A: The original coordinate of point A was (-6,-6).

The coordinate after the transformation is A'(1,6), which eliminates option 3.

At Point B:

The original coordinate of point B was (-2,4).

After the transformation, we have B'(5,-4), which eliminates option 1 and option 4. It is therefore right to state that (x,y) → (x+7,-y) is the correct representation of the transformation.

Learn more about Transformation:

brainly.com/question/11709244

#SPJ1

Full Question:

The missing options are:

Which rule describes the transformation shown?

1. (x,y) → (-y, x+7)

2. (x,y) → (x+7,-y)

3. (x,y) → (-x, y+7)

4. (x,y) → (y+7, -x)

This scatterplot shows the relationship between running speed and calories burned in 30 minutes.
A graph titled running has speed (miles per hour) on the x-axis, and calories burned on the y-axis. A line of best fit goes through (3, 200) and (5, 300).
The regression equation is ŷ = 71.9 + 46.4x. Which statements are a correct interpretation of the slope and y-intercept? Select all that apply.
For each increase in speed of 1 mph, an additional 46.4 calories are predicted to be burned.
For each increase in speed of 1 mph, an additional 71.9 calories are predicted to be burned.
For each decrease in speed of 1 mph, an additional 46.4 calories are predicted to be burned.
About 46.4 calories are burned at rest.
About 71.9 calories are burned at rest.

Answers

The correct interpretations of the slope and y-intercept are:

For each increase in speed of 1 mph, an additional 46.4 calories are predicted to be burned.

About 71.9 calories are burned at rest.

These interpretations are based on the regression equation given as

ŷ = 71.9 + 46.4x,

where ŷ represents the predicted calories burned and x represents the speed in miles per hour.

The slope of 46.4 indicates that for each 1 mph increase in speed, there is an additional predicted burn of 46.4 calories.

The y-intercept of 71.9 suggests that at a speed of 0 mph (resting), approximately 71.9 calories are burned.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ1

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given
the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X<5), n = 6, p = 0.5

Answers

The probability of obtaining a success given that X is less than 5, P(X < 5) is 0.8906.

What is the probability of obtaining a success?

The probability of obtaining a success is calculated as follows:

Given data:

X has a binomial distribution with n = 6 trials and p = 0.5, the probability of obtaining a success.

Using the binomial distribution function:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = k) = [tex](_nC_k) * p^{k} * (1 - p)^{(n - k)}[/tex]

Therefore;

P(X < 5) = (₆C₀) * 0.5⁰ * 0.5⁶ + ( 1) * 0.5¹ * 0.5⁵ + (₆C₂) * 0.5² * 0.5⁴ + (₆C₃) * 0.5³ * 0.5³ + (₆C₄) * 0.5⁴ * 0.5²

P(X < 5) = 0.015625 + 0.09375 + 0.234375 + 0.3125 + 0.234375

P(X < 5) = 0.8906

Learn more about probability at: https://brainly.com/question/24756209

#SPJ1

Sarah is self-publishing her 300-page novel and wants to estimate the printing costs.
She looks up printing costs for other paperback books and plots the number of pages (x) against the cost (y) in dollars.
Answer the questions to estimate the cost of printing a 300-page paperback book.

1. What is the y-intercept for the trend line? What is the real-world meaning of this point? (2 points)
The cost in dollars would be the y intercept. Which starts at 5.00

2. One point on the trend line is (200, 6). Using this point and the y-intercept, find the slope of the trend line. Show your work. (2 points)
The slope of the trend line equals (6-5)/(2.0-0)=0.5

3. What is the real-world meaning of the slope? (2 points)
It means that the answer 0.5 is 50 cents so it would be 50 cents per 100 pages

4. Use the slope and y-intercept to write an equation for the trend line in slope-intercept form. (2 points)


5. Use your equation to estimate the cost of printing Sarah's 300-page book. (2 points)

Answers

The estimated cost of printing Sarah's 300-page book is $6.50.


The estimated cost would be $20.00.
1. The y-intercept for the trend line is 5.00. The real-world meaning of this point is that the base cost for printing a book, regardless of the number of pages, is $5.00.
2. To find the slope of the trend line, use the formula (y2 - y1) / (x2 - x1). With the y-intercept (0, 5) and the given point (200, 6), the slope is (6 - 5) / (200 - 0) = 1 / 200 = 0.005.
3. The real-world meaning of the slope is that for each additional page in the book, the printing cost increases by $0.005 or half a cent per page.
4. Using the slope and y-intercept, the equation for the trend line in slope-intercept form is y = 0.005x + 5.
5. To estimate the cost of printing Sarah's 300-page book, substitute x = 300 into the equation: y = 0.005(300) + 5. So, y = 1.5 + 5 = 6.5. The estimated cost of printing Sarah's 300-page book is $6.50.

For more such questions on cost , Visit:

https://brainly.com/question/2292799

#SPJ11

HELP!! URGENT!!
Find the perimeter of the triangle. Simplify your answer.

Answers

The expression that represent the perimeter of the triangle is 3d² - 4d + 1.

What is the perimeter of the given triangle?

The perimeter of any two-dimensional figure is simply the distance around the figure.

Hence, the perimeter of the triangle is the sum of all its 3 side lengths.

From the diagram:

Side length 1 = ( d² + 3 )

Side length 2 = ( 4d² + 3d - 2 )

Side length 3 = ( -2d² - 7d )

Hence, the perimeter of the triangle will be:

Perimeter = side length 1 + side length 2 + side length 3

Plug in the expressions

Perimeter = ( d² + 3 ) + ( 4d² + 3d - 2 ) + ( -2d² - 7d )

Collect and add like terms:

Perimeter = d² + 3 + 4d² + 3d - 2 + -2d² - 7d

Perimeter = d² + 4d² - 2d² + 3d - 7d + 3 - 2

Perimeter = 3d² - 4d + 1

Therefore, the perimeter is 3d² - 4d + 1.

Learn about area of triangle here: brainly.com/question/29156501

#SPJ1

For the given confidence level and values of x and n, find the following.

=x45, =n96, confidence level 95%

Answers

The point estimate is given as 0.4688

The standard error = 0.051

How to solve for the point estimate

P = x / n

= 45 / 96

= 0.4688

The point estimate is given as 0.4688

How to solve for the standard error

SE = √[ p(1 - p) / n ]

Substituting the values we have:

SE = √[ 0.46875 * (1 - 0.46875) / 96 ]

= √[ 0.2482 / 96 ]

The standard error = 0.051

Read more on point estimate here:https://brainly.com/question/24261796

#SPJ1

Question

For the given confidence level and values of x and n, find the following.

=x45, =n96, confidence level 95% find the point estimate and the standard error

Match the given slope (m) and y-intercept (b) with the equation of the line in slope-intercept form.

Answers

The slope (m) and y-intercept (b) with the equation of the line in slope-intercept form are given as: m = 2 and b = 5 is y = 2x + 5; m = 3 and b = 5 is y = 3x + 5; m = 5 and b = 4 is y = 5x + 4.

How to Write the Equation of a Line in Slope-intercept Form?

If m represents the slope of a line and b represents its y-intercept, the equation of the line in slope-intercept form is written as: y = mx + b.

Where m = 2 and b = 5, the equation of the line would be expressed as: y = 2x + 5.

Where m = 3 and b = 5, the equation of the line would be expressed as: y = 3x + 5.

Where m = 5 and b = 4, the equation of the line would be expressed as: y = 5x + 4.

Learn more about slope-intercept form on:

https://brainly.com/question/1884491

#SPJ1

What is the total profit from purses?
15+ (-24)

Pls help me with this problem thanks!

Answers

Answer:

-9

Step-by-step explanation:

a rectangular park is 70 meters wide and 105 meters long. Give the length and width of another rectangular park that has the same perimeter but a small area

Answers

The length and width of another rectangular park is 110 meters by 65 meters


Calculating the length and width of another rectangular park

From the question, we have the following parameters that can be used in our computation:

A rectangular park is 70 meters wide and 105 meters long

This means that

Width = 70

Length = 105

The area is calculated as

Area = 70 * 105

Area = 7350

For smaller area, we decrease the width and increse the length

So, we have

Width = 70 - 5

Length = 105 + 5

Evaluate

Width = 65

Length = 110

Hence, the length and width of another rectangular park is 110 by 65

Read more about areas at

https://brainly.com/question/24487155

#SPJ1

escribe la respuesta correcta:
Emilia dice: "Si a mi edad, lo duplico, luego le resto 5, finalmente lo divido
entre 3; obtengo el número 7". ¿Cuántos años tengo?

Answers

Para encontrar la edad de Emilia, se puede seguir el siguiente proceso:
- Primero se duplica la edad de Emilia: 2x
- Luego se le resta 5: 2x - 5
- Finalmente, se divide entre 3 y se obtiene 7: (2x - 5) / 3 = 7

Para resolver la ecuación, se puede seguir el siguiente proceso:
- Se multiplica ambos lados de la ecuación por 3: 2x - 5 = 21
- Se suma 5 a ambos lados de la ecuación: 2x = 26
- Se divide ambos lados de la ecuación por 2: x = 13

Por lo tanto, Emilia tiene 13 años.




Martin is training for a marathon. His plan is to keep a consistent pace plan is to keep throughout the race. Using the data from the table, create a linear model that shows the miles Martin has run as the input, and the total time, in minutes, he has been running as the output.

Miles 5 9 20 Total Time 60 104 225

Answers

A linear model that shows the miles Martin has run as the input, and the total time, in minutes, he has been running as the output is: y = 11x - 5

How to solve Linear Equation Word Problems?

The general formula for the equation of a line between two coordinates is:

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

Using the coordinates as:

(5, 60), (9, 104) and (20, 225), we can say that the equation is expressed as:

(y - 60)/(x - 5) = (104 - 60)/(9 - 5)

(y - 60)/(x - 5) = 44/4

y - 60 = 11(x - 5)

y - 60 = 11x - 55

y = 11x - 5

Read more about Linear Equation Word problems at: https://brainly.com/question/20335698

#SPJ1

raul wants to know if reading a book or watching a movie has a lower cost per minute the book Costs $15 and takes Raul 200 minutes to read the movie costs 14 and takes Raul 2 hours and 39 minutes to watch does the book or the movie have a lower cost per minute

Answers

The book has a lower cost per minute than the movie.

To find the cost per minute of the book, we divide the cost by the number of minutes:

cost per minute of book = $15 / 200 minutes = $0.075 per minute

To find the cost per minute of the movie, we need to convert the time to minutes.

2 hours and 39 minutes is equal to:

2 hours x 60 minutes/hour = 120 minutes

39 minutes = 39 minutes

Total minutes = 120 + 39 = 159 minutes

cost per minute of movie = $14 / 159 minutes = $0.088 per minute

Therefore, the book has a lower cost per minute than the movie.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

use the convolution theorem to solve

Answers

Answer:

[tex]y(t)=\frac{1}{2}t^2+y_1t }[/tex]

Step-by-step explanation:

Refer to the attached image(s).

[tex]\boxed{\left\begin{array}{ccc}\text{\underline{Table of basic Laplace Transforms:}}\\1\rightarrow \frac{1}{s} \\t^n\rightarrow \frac{n!}{s^{n+1}}\\e^{at} \rightarrow\frac{1}{s-a}\\ \sin(at)\rightarrow\frac{a}{s^2+a^2}\\\cos(at)\rightarrow\frac{s}{s^2+a^2}\\e^{at}\sin(bt)\rightarrow\frac{b}{(s-a)^2+b^2}\\e^{at}\cos(bt)\rightarrow\frac{s-a}{(s-a)^2+b^2}\\t^ne^{at}\rightarrow\frac{n!}{(s-a)^{n+1}} \end{array}\right}[/tex]

Vito has a 8-inch by 10 inch piece of cardstock:

question below

Answers

The surface area of the box which is a rectangular prism would be = 24 square inches. That is option D.

How to calculate the area of the given box?

To calculate the area of the given box the formula that should be used is the formula of the area of a rectangular prism. That is;

Area of rectangular prism = length×width×height

Where:

length = 4 inches

width = 3 inches

height = 2 inches

Area = 4×3×2 = 24 square inches

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

Integration by partial fraction but im unsure how to proceed

Answers

The solution is:

[tex]\int\limits^a_b {\frac{x^{3} }{x^{2} + x -2 } } \, dx[/tex] =[tex]ln|x| + \frac{2}{5} ln|x+2| + \frac{1}{3} ln|x-1| + C[/tex]

What is a partial fraction?

The partial fraction expansion of a rational fraction is  described as an operation that consists of expressing the fraction as a sum of a polynomial and one or several fractions with a simpler denominator.

To solve the above partial fraction decomposition,

[tex]x^3 + x^2 - 2x = x(x^2 + x - 2) = x(x+2)(x-1)[/tex]

we then write the fraction as a sum of partial fractions:

[tex]fx-2dx = \frac{A }{x } + \frac{B}{x + 2 } + \frac{C }{x - 1}[/tex]

We  find the values of A, B, and C by  multiplying  both sides by the common denominator (x)(x+2)(x-1) and  substituting

fx-2dx = A(x+2)(x-1) + B(x)(x-1) + C(x)(x+2)

We set  x = 0

0 = -2A

A = 0.

We set  x = -2

-2 = 20B/(-2)(-4)

-2 = -5B

B = 2/5.

we set  x = 1

1 = 3C

C = 1/3.

fx-2dx = 0/x +  2/5/(x+2) +  1/3/(x-1)

We integrate each term separately and have the solution as :

[tex]\int\limits^a_b {\frac{x^{3} }{x^{2} + x -2 } } \, dx[/tex] =[tex]ln|x| + \frac{2}{5} ln|x+2| + \frac{1}{3} ln|x-1| + C[/tex].

Learn more about partial fractions at:

https://brainly.com/question/24594390

#SPJ1

NEED HELP ASAP PLEASE AND THANK YOU

Answers

[1st Picture] Answer: x = 3.98

Step-by-step explanation:

    We are given the opposite side and adjacent side from our reference angle. This will use the tangent function. tanθ = [tex]\frac{opposite}{adjacent}[/tex].

tan(53°) = [tex]\frac{x}{3}[/tex]

3tan(53°) = x

x = 3.98

[2nd Picture] Answer: x = 3.13

Step-by-step explanation:

    Here, we are given the opposite side from our reference angle and the hypotenuse. This will use the sine function. sinθ = [tex]\frac{opposite}{hypotenuse}[/tex].

sin(23°) = [tex]\frac{x}{8}[/tex]

8sin(23°) = x

x = 3.13

[3rd Picture - #6] Answer: θ = 63.4°

Step-by-step explanation:

    Again, we are given the opposite side from our reference angle and the hypotenuse. This will use the sine function. sinθ = [tex]\frac{opposite}{hypotenuse}[/tex]. To find the angle measurement of theta at the end, we will use the inverse of sine.

sin(θ) = [tex]\frac{6}{6.71}[/tex]

[tex]sin^{-1}[/tex](sin(θ)) = [tex]sin^{-1}[/tex]([tex]\frac{6}{6.71}[/tex])

θ = 63.4°

Other Questions
c(n,r) is the number of subsets of r elements each that can be formed from a set of n elements. true or false how do the mitochondria of brown fat cells differ from those of other cells? all of the following statements concerning variable life insurance are correct except: a.variable life is a type of whole life insurance that has a fixed premium and fluctuating death benefit and cash values. b.variable whole life policies must be regulated by the securities and exchange commission (sec). c.the owner of a variable universal life policy has the option to invest in a variety of investments. d.if the variable life policy investment experience is weak, the death benefit amount may be reduced to zero. Part BWhich of these excerpts from "A Brief History of the Short Story" best supports the answer to Part A?A. Gift books were annual collections of poems, artwork and literary criticism, aimed primarily at anaudience of upper-class women in England and North America.B. In 1837, Nathaniel Hawthorne collected a number of stories that he had written for the gift bookmarket and published them to great critical acclaim as Twice Told Tales.OC. In the early twentieth century, literacy in the United States and Canada became near universal forthe first time and, as a direct result, magazine sales boomed.D. It is no surprise that the beginning of the Golden Age of Science Fiction is identified most stronglynot with a novel but with the publication of a magazine (the July 1939 issue of Astounding ScienceFiction, to be precise). the textbook author's experience in morocco, which included intense stares directed at him, pushing and shoving at the train station, and total disregard for sanitation by food vendors, left the author with a profound sense of . is it acceptable for the pmo to report to the chief information officer or to someone else? if a firm is experiencing no capital rationing, it should accept all investment proposalsT/F arista always spends 20 % of her income on seashells. assume that her income increases by some percentage while the price of seashells remains constant (and that all seashells cost the same). what is her income elasticity of demand for seashells? The minimum number of calories needed to maintain bodily functions at rest is _____.(a) Basal caloric rate(b) Basal metabolic burn(c) Basal meatball rate(d) Basal metabolic rate. A recent concert sold $916 worthof tickets. Students were charged$1.25 and adults were charged$2.25. If 560 people attended, howmany adults attended the concert?How many students? What is culture?OA. The behaviors and beliefs of a group of peopleB. A state made up of distinct cultural groupsC. The music, food, and art of a peopleD. The types of food a group of people consumesUBMIT ABCD is a square and AB = 5cm. What is the perimeter and the area of rectangle EFGH if AE=AH=FC=GC = 2cm square A KVM switch allows you to use one monitor, mouse, and keyboard for multiple computers.True or False What are the first five terms in the recursive sequence defined bya1=2a2=3an=an-2*an-1? you have a match in a pitch-dark room with a candle, a wood stove and a gas lamp. other than the match, which do you light first? what is the size of the vector named quantities after the following statement is executed?vector quantities a week after a single dose of thc, about _____ percent of it is still in the body. when describing the use of vaccines to a local community group, what would the nurse include? the nurse has notified the provider that a client with heart failure is developing acute pulmonary edema. list three (3) clinical manifestations of pulmonary edema. A 30-year-old earns an average income and plans to retire in 35 years. The employee plans to begin making $6,000 annual contributions into an IRA.Which type of IRA is best for the employee, and why? The Roth IRA is the best choice because the employee will pay less in taxes during employment than in retirement. The Traditional IRA is the best choice because the employee will pay less in taxes during employment than in retirement. The Roth IRA is the best choice because the employee will pay more in taxes during employment than in retirement. The Traditional IRA is the best choice because the employee will pay more in taxes during employment than in retirement.