-1(-9)
What Is the results

The vector w in trigonometric form is B. w = 29(cos 223.603°i + sin 223.603°j). Therefore,  option B: w = 29(cos 223.603°i + sin 223.603°j) is correct.

To represent a vector in trigonometric form, we need to find the magnitude and angle of the vector. Given the vector w = <-21,-20>, the magnitude can be found using the Pythagorean theorem as:

\(|w| = \sqrt{((-21)^2 + (-20)^2) } = 29\)

Next, we need to find the angle of the vector. Since the vector has negative components, the angle will be in the third or fourth quadrant. We can find the angle using the arctangent function as:

theta = arctan(-20/-21) = 46.603 degrees

Since the angle is in the fourth quadrant, we need to add 180 degrees to get the angle in trigonometric form:

theta = 46.603 + 180 = 223.603 degrees

Therefore, the vector w in trigonometric form is:

w = 29(cos 223.603°i + sin 223.603°j)

Hence, the correct answer is option B: w = 29(cos 223.603°i + sin 223.603°j).

for such more question on vector

https://brainly.com/question/25705666

#SPJ11

The girl which is correct between kate and her friend Margo is Margo.

The correct answer option is option B

If each friend gets the same number of pens;

Number of pens each friend get = Number of pens Kate has / Number of Kate's friends

= 63 / 9

= 7

Check:

Number of pens each friend get × Number of Kate's friends = Number of pens Kate has

7 × 9 = 63

Therefore, Kate's friend, Margo is correct.

Read more on multiplication:

https://brainly.com/question/10873737

#SPJ1

First we have a rotation of 90° counterclockwise, and then a translation of 6 units up.

First we have a rotation, you need to look at the vertex A and A' to identify the angle.

A points to the up-left and A' points to the up-right, so we can start by a rotation counter-clockwise of 90°.

At that point, we would have a translation upwards of 6 units, which is the difference in the y-coordinate of A' (5) and the y-coordinate of A (-1)

That difference gives 6.

Learn moer about transformations at:

https://brainly.com/question/4289712

#SPJ1

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer: 4



Step-by-step explanation:

Answer:

1000ththe same time as the one of the day of work

Answer:

hmmm

Step-by-step explanation:

what does the j, k, m, and l stand for?

Answer:

96

Step-by-step explanation:

the final value is 96 dollars

Answer:

I think 1/4

Step-by-step explanation:

1000% ÷ 4 =250%

Step-by-step explanation:

(250÷50)/(100÷50) = 5/2 when reduced to the simplest form.

Answer:

es verdad pero 3 nomas puede ser dividido por 3 o 1

Step-by-step explanation:

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

For more such questions on triangle

https://brainly.com/question/1058720

#SPJ8

Answer:

Step-by-step explanation:

Square

The side length of the square = 8 cm

The area of the square = s^2

The area of the square = 8^2 = 64

Circle

r = d/2

r = 8/2

r = 4

Area of the circle = pi r^2

Area of the circle = 3.14 * 16

Area of the circle = 50.24

Shaded Area

Area of the Shaded area = area Square - Area Circle

                                          = 64 - 40.24

                                          = 23.76

all u got to do is subtract

The solution of the compound inequality is x < 3/4 or x >2.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A compound inequality:

4x - 5 < -2 or x + 1 > 3.

Solving inequality,

4x < -2 + 5 or x > 2

4x < 3 or x > 2.

x < 3/4 or x >2.

Therefore, the solution is x < 3/4 or x >2.

To learn more about inequality;

brainly.com/question/28823603

#SPJ1

Answer:

Step-by-step explanation:

Perimeter = Add

Area= x

Use this solution to figure the area & Perimeter out.

Answer:

perimeter = 76 ft

area = 338 sq ft

Step-by-step explanation:

Answer:

\(y = \frac{x}{2} + 4\)

Answer:

d

Step-by-step explanation:

Answer:

1/2

-1

1/2

-5/4

Step-by-step explanation:

I gotchu

Calculating the slope is simple

First, pick two points on the line

Next, see how far the second point is from the first point in the y direction only (the rise)

Next, see how far the second point is from the first point in the x direction only (the run)

Finally, divide the rise by the run

Q1:

rise 1

run 2

1/2

Q2:

rise 2

run -2

-1

Q3:

rise 1

run 2

1/2

Q4:

rise 5

run -4

-5/4

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

Learn more about confidence interval on

https://brainly.com/question/15712887

#SPJ1

Answer:

x=24

Step-by-step explanation:

First: Multiply -6 to both sides

Next: You get 3x=72

Then: Divide 72 by 3

Last:....

ANSWER: x=24

hi !! the answer is x= -24 :))  

Answer:

The answer is below

Step-by-step explanation:

a)Given that the length of fencing available is 400 yards. This means that the perimeter of the rectangle is 400 yards.

the perimeter of a rectangle is given as:

Perimeter = 2(length + width) = 2(l + w)

Hence;

400 = 2(l + w)

200 = l + w

l = 200 - w

The area of a rectangle is given as:

Area = length × width

Area = (200 - w) × w

Area = 200w - w²

b) For a quadratic equation y = ax² + bx + c. it has a maximum at x = -b/2a

Hence, for the area = 200w - w² a=-1, b = 200, the maximum width is at:

w = -b/2a = -200/2(-1) = -200/-2 = 100

A width of 100 yard has the largest area

c) l = 200 - w = 200 - 100 = 100 yards

Area = l × w = 100 × 100 = 10000 yd²

The maximum area is 10000 yd²

Answer:

\(\frac{4}{5}\)

0.8

Step-by-step explanation:

Happy to help:)

Answer:

its a part b so id k how many they sell in genral. comment how many and ill solve it for ya :)

a) Sample mean is the best point estimate.

The value of the estimate is 1.7 seconds

b) Determine which distribution should be used to calculate the critical value for the 95% confidence interval for the population mean.

The sample has a size 90, and it is from a non-normally distributed population.

Ans) either Z or t

The sample has a size 75, and it is from a non-normally distributed population with a known standard deviation of 0.45

Ans) Z

The sample has a size of 13, and it is from a normally distributed population with an unknown standard deviation.

Ans) t

Read more about sample sizes here:

https://brainly.com/question/28583871

#SPJ1

ou would like to construct a

95%

confidence interval to estimate the population mean time it takes drivers to react following the application of brakes by the driver in front of them. You take a random sample of reaction time measurements and compute their mean to be

1.7

seconds and their standard deviation to be

0.5

seconds.

(a) What is the best point estimate, based on the sample, to use for the population mean?

seconds

(b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the

95%

confidence interval for the population mean.

(In the table,

Z

refers to a standard normal distribution, and

t

refers to a t distribution.)

Sampling scenario

Z

t

Could use either

Z

or

t

Unclear

The sample has size

90

, and it is from a non-normally distributed population.    

The sample has size

75

, and it is from a non-normally distributed population with a known standard deviation of

0.45

.    

The sample has size 13, and it is from a normally distributed population with an unknown standard deviation.

According to the assumption the translated triangle would have vertices at (4,0), (6,2), and (5,-1).

Given,

To translate a triangle 3 units to the right and 2 units down, we would take each point of the original triangle and add 3 to the x-coordinate and subtract 2 from the y-coordinate.

For example, if the original triangle has vertices at (1,2), (3,4), and (2,1), the translated triangle would have vertices at:

(1+3, 2-2) = (4,0)

(3+3, 4-2) = (6,2)

(2+3, 1-2) = (5,-1)

So, the translated triangle would have vertices at (4,0), (6,2), and (5,-1).

To know more about coordinates  visit:

brainly.com/question/27749090

#SPJ9

Answer:

Infinite solutions.

Any number.

Step-by-step explanation:

First, substitute one of the variables, x or y into one of the equations.

Since y is already isolated, substitute it in 2y - 6x = -8.

2 (3x - 4) - 6x = -8

Distribute 2 to 3x and -4.

6x - 8 - 6x = -8

Bring like terms together.

6x - 6x - 8 = -8

move -8 over to the other side of the equation and change its sign.

Or just add 8 to both sides (it is the same thing.)

You add 8 because it is to cancel out the negative 8 and get rid of it.

6x - 6x = -8 + 8

This equals 0 = 0 so there are infinite solutions to this system of equations.

Answer:they will both negative because the rules are  -x,-y

Step-by-step explanation:

Answer:

9.5 as the width and length would be 19.5

Step-by-step explanation:

58/4 since there are 4 sides=14.5 each side  and if the length is 5 ft longer than width, subtract 14.5-5=9.5 as the width and length would be 19.5

to check add the all the length and width of the rectangle and the answer would be 58ft.

Answer:

369278

Step-by-step explanation:

add 2030 to the original number

Step-by-step explanation:

John's number is 367,248. To add 2 thousands and 3 tens to this number, we need to add 2,000 and 30 to it:

367,248 + 2,000 + 3*(10) = 369,278

Therefore, Kara's number is 369,278

Answer:

x = 4

Step-by-step explanation:

Cross-multiplying means multiplying the numerator of one side by the denominator of the other side.

So, let's multiply the sides:

Now, we can solve each side:

So, x = 4.