find the magnitude and direction angle of the following vector. Write your angle in degrees rounded to four decimal places. u = 2i + 8j nswer 4 Points ecall that answers entered in degrees will require a degree symbol, which is located in the keypad. ||u|| = 0 =

Answers

Answer 1

The magnitude of vector is 8.24 and angle is 75.9638.

What is vector?

A vector could be a amount that not solely describes the magnitude however additionally describes the movement of an object or the position of an object with reference to another purpose or object.

Main body:

we know that the magnitude of vector is found out by,

| u | = $\sqrt{i^{2}+j^{2} }$

so here , u = 2i + 8j

|u| = $\sqrt{2^{2} +8^{2} }$

|u| = $\sqrt{68}$

|u| = 8.24

now to find the direction , angle

tan∅ = j/k

tan∅ = 8/2

∅ = tan⁻¹ (4)

∅ = 75.9638°

Hence , direction angle of the following vector is ∅ = 75.9638°

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Related Questions

The function f is defined by f(x) = 57. What is the value of f(3)?
O 15
O 25
O 53
O 125

Answers

Answer:

Step-by-step explanation:

Because

parminder estimated that between 25% and 50% of students walk to school. circle each fraction
that could represent the percent of students that walk to school. 3/10 2/5 2/3 3/8 2/9 7/20 6/11

Answers

Answer:

anything else?

Step-by-step explanation:

Answer:

3/10, 2/5. 3/8, 7/20

Step-by-step explanation:

3/10=.30=30 percent

2/5=.40=40 percent

3/8=.375=37.5 percent

7/20=.35=35 percent

24°
Solve for c.
= [?]°
C =
60% C
Enter

Answers

Answer:

96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

Angle sum theorem

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

180° -60° -24° = 96°

Alternate interior angles

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

C = 96°

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In a mathematics class 54, students received an A on the third test, which is 150% of the students who received an A on the second test. How many students received an A on the second test?

10,1 #16

Answers

Answer:

Number of students who received A grade on the second test = 36

Step-by-step explanation:

Given that:

Number of students who received A grade on third test = 54

This is 150% of the students who received A on the second test.

Let,

x be the number of students who received A on the second test.

150% of x = 54

$\frac{150}{100}x=54$

1.5x=54

Dividing both sides by 1.5

$\frac{1.5x}{1.5}=\frac{54}{1.5}\\x=36$

Hence,

Number of students who received A grade on the second test = 36

After giving 20 stickers to Siti, Janice had twice as many stickers as Siti.
If Janice had 120 stickers at first, how many stickers did they have
altogether?

Answers

Answer:

180

Step-by-step explanation:

20stickers For Siti

twice

40stickers for Janice

20x2=40(40 Stickees for Janice)

if Janice have 120 stickers at first

120÷2=60 stickers For Siti

how many stickers did they have

altogether?

120+60=180

180

Hope Is Help(づ￣ ³￣)づ

Brandon has 10 but each bag has 6 chocolates how many chocolates does he have in total

Answers

Brandon has 10 but each bag has 6 chocolates how many chocolates does he have in total

Answer:

10 what

Step-by-step explanation:

Callista used 10% off coupon to purchase a band t-shirt from Hot Topic . If the shirt cost $21.00, what is the discount in dollars?

Answers

Answer:

The discount is 2.1 dollars

I need the explanation to understand pleasey= 5 (x + 3)^2 - 4A.) Identify the coefficients (a, h, and k) B.) Tell whether the graph opens up or opens down. C.) Find the vertex. Write as a coordinate. D.) Find the axis of symmetry. Write as an equation. E.) Find two more points on the graph. You can choose what x - values to use. Write your points as coordinates (x, y).

Answers

$y=5(x+3)^2-4$

the general form of the parabola is

$y=a(x-h)^2-k$

so a=5, h=-3, k=4

the graph opens depending on the sign of a, if is positive the graph opens up, and this is the case

the vertex is (h,k) ever, so on this case is

$(-3,4)$

the axis of symmetry is h ever, so on this case is -3

we can give 2 values for x, for example

x=0

$\begin{gathered} y=5((0)+3)^2-4 \\ y=5(3)^2-4 \\ y=41 \end{gathered}$

the first point is (0,41)

x=1

$\begin{gathered} y=5((1)+3)^2-4 \\ y=5(4)^2-4 \\ y=76 \end{gathered}$

and the second point is (1,76)

PLEASE HURRY!!!! FOR 30 POINTS!!
Mr. Snow made snacks in separate gift bags. He gave one each to the 536 sixth-grade students going on the field trip. Then he gave 30 bags to the students in Mrs. Bond’s class for decorating the trophy cases. Next he gave 25 to the students in Mrs. Fuller’s class for helping during the school play. Mr. Snow had 3 snacks left. How many snacks did he make?

A . 600 snacks
B. 596 snacks
C. 594 snacks
D. 584 snacks

Answers

C.
594 snacks

536+30+25+3=594

Good luck

Hope this helps

:))

a tank containing 50 liter of water develops a leak and loss water at a constant rate. after 20 minutes it contains 40 liter. after a further 30 minutes the tank is 5% of its full capacity. determine the tanks capacity

Answers

Answer:

The tank's capacity is 500 liters

Step-by-step explanation:

Proportions

The tank initially contains 50 liters of water. The tank's capacity is more than that, as we'll show later.

We know after 20 minutes of leaking from the tank, 40 liters still remain. This means 10 liters have leaked in 20 minutes. The loss of water occurs at a constant rate or 10/20=0.5 liters per minute.

After 30 more minutes, the tank has lost 0.5*30 = 15 more liters of water and now has 40 - 15 = 25 liters remaining.

We are told those 25 liters correspond to 5% of the tank's full capacity. Thus, the full capacity of the tank is:

$\displaystyle \frac{25 }{ (5 / 100)} = 500~liters$

The tank's capacity is 500 liters

Someone help me with this

Answers

a. Category with the greatest frequency is 20 - 24

b. 14 students

c. The percentage is 7%

What is frequency?

Frequency is simply described as the number of times an event or observation happened in a given study or experiment that is carried out.

From the information given, we have that;

a. The category with the greatest frequency is the one with most words spelt, we have;

20 - 24

b. The number of students that spelt 35 - 39 words is traceable to

14 students

c. If the total number of students is 200

Then, the percent of students in the 35 - 39 category is;

14/200 × 100/1

Multiply the values

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According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this increased by approximately 0.6% per year. If this trend continues, in which year will 49% of babies be born out of wedlock

Answers

Answer:

2029

Step-by-step explanation:

We can write an equation:

0.28+0.006x=0.51

A few things explained:

The constant 0.28 comes from the fact in 1990, 28% of babies were born to parents who were not married. 28%=0.28

0.006 represents 0.6% and x represents the number of years will pass until 49% of babies will be born out of wedlock

0.51 represents 51%. 51% represents the percentage of babies who will be born to parents not married (100% - 49%=51%). You want to use 51% instead of 49% because the right side represents the babies born to parents not married.

We can solve the equation:

0.28+0.006x=0.51

0.006x=0.23

x=38.33

Since you can't have 38.3333 years, we'll say that 39 will pass until 49% of babies are born out of wedlock.

So, we add 39 years to 1990.

1990+39=2029

Hope this helps!

Sample Responses Label axes according to input
and output variables. Plot the ordered pair of the
independent and dependent variable on the
coordinate plane. Identify if there is a relationship
Which of the following did you include in your
response?
O Label the x-axis the input variable, age.
O Label the y-axis the output variable, texting speed.
O Plot the points according to age and texting speed.
O Identify a relationship between the change in
texting speed as age increases.

Answers

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3 Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Solve for x. Leave your answer in simplest radical form.

Answers

Answer:

√122

Step-by-step explanation:

first we have to find the missing side with x on the 5 and 9 triangle by using the theorem

a^2+b^2=c^2

9^2+5^2=c^2

81+25=c^2

106=c^2

√106=c

and now we can use this as a side to find x

4^2+√106^2=x^2

16+106=x^2

122=x^2

√122=x

Hopes this helps please mark brainliest

Write a numerical expression for the word expression. The product of 7 and 12

Answers

Answer:

7x12

Step-by-step explanation:

product is multiplication

Wei wants to prove that the segment joining midpoints of two sides of a
triangle is parallel to the third side.

Select the appropriate rephrased statement for Wei's proof.

Answers

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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Please check all that apply

Answers

The symbols which correctly relates the two numbers are :

>≥≠

We could relate the two given numbers 100 and 20 on the basis of magnitude and equality.

100 is greater than 20, 100> 20

100 is greater than or equal to 20 , 100 ≥ 20

100 is not equal to 20 , 100≠20

Therefore, the symbols which relates the numbers are :

>≥≠

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Are all polyhedrons solids?

Answers

Answer:

A polyhedron is a 3-dimensional solid made by joining together polygons. The word 'polyhedron' comes from two Greek words, poly meaning many, and hedron referring to surface. The polyhedrons are defined by the number of faces it has.

Step-by-step explanation:

Use the figure.
Select two different rays in the figure.
De
Fd
Ed
Ef

Answers

Answer: De and Ef

Step-by-step explanation:

bsolute Value is the distance from
ero - whether to the right or left on a
umber line - it's the SAME distance
nd DISTANCE is always ....
Positive or negative

Answers

Answer:

The negative integers go to the left: , , , and so on. The distance between a number's place on the number line and is called the number's absolute value The absolute value of a number is its distance from 0 on a number line..

Step-by-step explanation:

Negative

I hope this helps :)

Maggie has a box of crayons. 35 are orange, 12 are blue, 25 are green, and 7 are red. If she selects a crayon at random, which color crayon would he be MOST likely to select?

Answers

Answer:

orange

Step-by-step explanation:

orange. it has the most amount out of all of the other colors.

Chang has two coupons for. A printer coupon a has 14$ rebate on a 75$ printer
Coupon b has 15%off of a 75 $ printer choose the coupon that gives the lower prize

Answers

Answer:

The coupon that gives $14 rebate off $75 gives a lower price

Step-by-step explanation:

Let's figure out what percentage of $75 the $14 rebate coupon is

If this percentage is greater than 15% then the $14 rebate coupon gives a better discount; if not the 15% discount offers a better buy

To find what % $14 is of the $75 cost of printer, divide 14 by 75 and multiply by 100 to convert to %:

$\dfrac{14}{75} \times 100 = 18.67\%\\\\$

Since 18.67% is greater than 15%, getting $14 off $75 will give a lower price

answer 3+3 for 100 points brainlyist to first answer

(yes i know it's simple I'm not d u m b)

Answers

Answer:

Step-by-step explanation:

plz me

Answer:

Step-by-step explanation:

can i have brainliesyt

.Here is a 90% confidence interval estimate of theproportion of adults who say that thelaw goes easy on celebrities: 0.645

Answers

Answer:

The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

In this question:

CI is between 0.645 and 0.842. So the best estimate of the proportion is:

(0.645+0.842)/2 = 0.7435

The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.

Use Laplace transforms to solve the following initial value problems.
d2y + 4dy + 13y = u5(t) , y(0) = 0, y′(0) = 1. Find limt→[infinity]y(t). dt2 dt

Answers

The initial value problem's solution becomes closer to 0, the problem's limit, as time gets closer to infinity.

1. Determine both sides of the equation's Laplace transform: d2y + 4dy + 13y = u5(t) Y(s) = s2Y(s) + 4sY(s) + 13Y(s) = U5 (s)

2. Rewrite the equation to Y(s) = U5(s) / (s2 + 4s + 13) to find the value of Y(s).

3. Consider the reverse Finding y(t) using the Laplace transform on both sides

y(t) = (1/12)e(-t) + (1/24)sin(3t) + (1/8)cos (3t)

4. As t approaches infinity, determine the limit:

Laplace transformations are used to resolve the initial value issue d2y + 4dy + 13y = u5(t), where y(0) = 0 and y′(0) = 1. Y(s) = s2Y(s) + 4sY(s) + 13Y(s) = U5 is the result of first doing the Laplace transform of both sides of the equation (s). To find Y(s), we rewrite the equation as Y(s) = U5(s) / (s2 + 4s + 13). Then, to get y(t), we use the inverse Laplace transform of both sides: y(t) = (1/24)e(-2t) + (1/12)e(-t) + (1/24)sin(3t) + (1/8)cos (3t). Finally, when t approaches infinity, we compute the limit: limt[infinity]y(t) = 0. As a result, as time gets closer to infinity, the initial value problem's solution gets closer to 0.

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The figure below shows a line graph and tie shaded triangles that are similar

Answers

The figure shows a line graph and shaded triangles that are similar. The line graph represents the relationship between two variables, while the shaded triangles indicate similarity between their corresponding sides and angles. The scale factor can be used to determine the ratio between the sides of the similar triangles.

The figure provided shows a line graph and shaded triangles that are similar. In order to provide a clear and concise answer, I will explain the concepts of line graphs and similar triangles separately.

A line graph is a type of graph that displays data points connected by straight line segments. It is commonly used to show how a variable changes over time or in relation to another variable. The x-axis represents the independent variable, while the y-axis represents the dependent variable. The data points are plotted on the graph and connected to form a line. Line graphs are useful for visualizing trends and patterns in data.

On the other hand, similar triangles are triangles that have the same shape but not necessarily the same size. This means that their corresponding angles are equal, and their corresponding sides are in proportion. When two triangles are similar, their corresponding sides have a constant ratio, called the scale factor.

In the given figure, the shaded triangles are similar. This means that their corresponding angles are equal, and their corresponding sides are in proportion. The scale factor between the corresponding sides of the triangles can be determined by comparing the lengths of the sides.

To summarize, the figure shows a line graph and shaded triangles that are similar. The line graph represents the relationship between two variables, while the shaded triangles indicate similarity between their corresponding sides and angles. The scale factor can be used to determine the ratio between the sides of the similar triangles.

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The probable question may be:

Based on the given line graph and shaded triangles that are similar, analyze the relationship between the variables represented on the graph and determine the corresponding values or trends. Additionally, explain any patterns or insights that can be derived from the similarity of the shaded triangles.

Absolute value of -18.26

Answers

The absolute value is 18.26

If two lines intersect to form a right angle, then they are
..(perpendicular, parallel, obtuse

Answers

the answer would be perpendicular.

Sandra bought a triangular shelf to hang in the
corner of her room. Will this shelf fit in the 90°
corner? Explain.

Answers

Answer:

It depends. Depends on what? Depends on the type of triangle that this shelf forms. If Sandra wants the shelf to fit perfectly, she needs a shelf with the shape of a right triangle, the only type of triangles that have a 90° angle in one of their corners. Any other type of triangle will fit in some ways, but they won't fot perfectly.

Check the attached images to better understand this explanation.

As you can see on the images, the only type of shelf that fits the room's corner perfectly is a right triangle shaped shelf. Any other triangular shelf will fit in a specific orientation, but it won't fit perfectly.