The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum?

The Magnitude And Direction Of Two Vectors Are Shown In The Diagram. What Is The Magnitude Of Their Sum?

Answers

Answer 1

Answer:

2√5

Step-by-step explanation:

Using the formula for calculating resultant

R = √Fx + Fy

\sum Fx = -2sin 45 + 4 cos 45

\sum Fx =  2cos45

\sum Fx = 2(1/√2)

\sum Fx   = 2/√2

Similarly;

\sum Fy = 2 cos 45 + 4 sin45

\sum Fx  = 2(1/√2) + 4(1/√2)

\sum Fx = 6/√2

Magnitude = √(2/√2)²+6/√2)²

Magnitude = √4/2 + 36/2

Magnitude = √2+18

Magnitude = √20

Magnitude = 2√5

Hence the magnitude of their sum is 2√5

Answer 2

Answer:

2√5

Step-by-step explanation:


Related Questions

Annie was earning $12.50 per hour at her job. She recently received a 10% raise. She has also decided she will put 1/5 of her new salary in savings. If Annie worked 40 hours in one week, how much is she putting into savings each week?

Answers

Answer:

$110

Step-by-step explanation:

The length of a basketball court is twice its width. The perimeter is 150 feet. Find the length and width of the basketball court. On your worksheet, solve the question and write your answer below. What is length of the basketball court? What is the width of the basketball court?

Answers

Answer: W=25 and L=50

Step-by-step explanation: I first started out with 50, because 50 is half of 100. 50 divided by 2 equals twenty five. Now, I moved on to 100. 100 divided by 2 equals 50. 25+25+50+50=150.

Answer:

The width of the basketball court is 25 feet and the length is 50 feet

Step-by-step explanation:

Equations:

Let's make:

x = width of the basketball court

2x = length of the basketball court

The perimeter of the court is twice the width plus twice the length:

P = 2x + 2(2x)

P = 2x + 4x = 6x

It's known to be 150 feet, thus:

6x = 150

Dividing by 6:

x = 150/6

x = 25 feet

2x = 50 feet

The width of the basketball court is 25 feet and the length is 50 feet

how many terms are in this expression 5b+26t-72

Answers

Answer:

3 terms

Step-by-step explanation:

5b+26t-72

Since none of the terms are like terms, we cannot combine them

There are 3 separate terms, 5b, 26t, 72

HELP WITH THIS ITS URGET

Answers

Understandable going to ask for help rn

HELP!!! I need help with this question

Answers

Answer:

90 90909090909090909090909090


Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.

2x-4=3^x+1


A.
x ≈ 3.25
B.
x ≈ 1
C.
x ≈ 2
D.
x ≈ 2.5

Answers

Answer: D. x ≈ 2.5

Step-by-step explanation: I circled the intersection in green in this attachment I provided.

As you can see, it's near 2.5 which is correct.

I really hope this is correct. I answered this one with confidence. Good luck on your test btw.

Answer:

D. x ≈ 2.5

Step-by-step explanation:

In a regular polygon each interior angle is 140° greater than each exterior angle. Calculate the number of sides of the polygon​

Answers

Answer:

18 sides.

Step-by-step explanation:

The interior and exterior angles sum to 180 so:

       I + E = 180

also  I - E = 140       (given)

So, adding to eliminate E:

      2I = 320

I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.

Since the sum of all exterior angles in a polygon = 360 degrees

- the number of sides = 360 / 20 = 18.

Solve for x if EF = 2x + 7 and FG = 7x –9

help please I'll give brainliest

Answers

Answer:

x = 3.2

Step-by-step explanation:

Since, intercepts made by parallel lines on the transversals are in proportion.

[tex] \therefore \frac{AB}{BC} =\frac{EF}{FG}... (1)[/tex]

AB = BC.... (given)

[tex] \implies \frac{AB}{BC} = 1..... (2)[/tex]

From equations (1) & (2)

[tex] 1 =\frac{EF}{FG}[/tex]

[tex] {FG}={EF}[/tex]

Therefore,

7x - 9 = 2x + 7

7x - 2x = 9 + 7

5x = 16

x = 16/5

x = 3.2

Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent. What is the total price he has to pay for the clothes?

Answers

$27.83 is the total price

Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters. What is the combined volume of the two number cubes in cubic centimeters? 27 cm3 9 cm3 18 cm3 54 cm3

Answers

Answer:

They are both identical cubes which makes it much easier.

Work out the volume for just one first.

The formula for volume is:

l x w x h

However, since it is a cube, all lengths are the same.

3 x 3 x 3 = 27

Now multiply it by 2 to get the volume of both combined:

27 x 2 = 54.

In short, your answer is  54cm 3

Hope This Helps You!

Good Luck :)

Step-by-step explanation:

Can anyone help me with this please
I’ll mark you as a brainliest.

Answers

Its 43. All triangles add to 180 so 47 + 90 = 137. then subtract 180 - 137 and get 43
The answer is 137 degrees.

The measure of the last INTERIOR angle is 43 degrees. Since that angle and the missing exterior angle are both on a straight line, they must add up to 180 degrees.

180-43= 137

Which expression is equivalent to x² - 4x - 45?
А
(x - 9)(x - 5)
B
(x + 9)(x+5)
(20 +9)(x - 5)
D
(x - 9)(x+5)

Answers

Answer:

D. (x - 9)(x+5)

Step-by-step explanation:

[tex]x^{2} - 4x - 45[/tex] is your expression, so you have to factor it out. Since from the options available it's clear that the factors of -45 you use are some form of 9 and 5, we can use the process of elimination to figure out which are the correct ones.

First, through FOIL u know that in any factored form the last two terms in each bracket multiply together to make the last term in the expanded form.

So first, look at A. the last two terms are -9 and -5, which = 45 when multiplied together. 45 does not = -45, so it can't be A.

B has 9 and 5. When they're multiplied, they = 45, which does not = -45, so its not B

It can't be C either, because the first term of the first bracket in C is 20, and when multiplied with x it doesn't produce x^2.

Therefore it has to be D. u can check this by multiplying -9 and 5, which = -45, the final term in the expanded form. Also, -9 + 5 = -4, which is the middle term of the expanded form.

The equivalent expression to x² - 4x - 45 is (x - 9)(x + 5), which corresponds to option A.

To factor the quadratic expression x² - 4x - 45, we need to find two binomials that, when multiplied, give us the original expression.

We look for two numbers whose product is -45 (the coefficient of the constant term) and whose sum is -4 (the coefficient of the linear term, -4x). After some exploration, we find that the numbers -9 and 5 satisfy these conditions.

Thus, we can express x² - 4x - 45 as (x - 9)(x + 5). This is because when we multiply the two binomials (x - 9) and (x + 5) using the distributive property, we obtain the original quadratic expression.

This factored form, (x - 9)(x + 5), represents the equivalent expression to x² - 4x - 45.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ6

The two large squares below each represent 1 unit
0.26 + 0.6

Answers

Answer:

0.26+0.6=0.86

Step-by-step explanation:

Earl runs 25 meters in 10 seconds. How many meters does Earl run per second?

Earl runs
meters per second.

Answers

Answer:

2.5 meters a second

Step-by-step explanation:

Because I said so

Mark plans to save 2.50 each week until he saves 75.00.He uses this equation to represent the number of weeks

Answers

Answer:

2.5x = 75

Step-by-step explanation:

Find two fractions, when multiplied together make 3/4

Answers

Step-by-step explanation:

9/12 if we divided by 3

6/8 if we divided by 2

hope it helps u

The two fractions when multiplied together make 3/4 are, 1/2 and 3/2.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The first fraction can be 1/2 when multiplied by the second fraction 3/2.

Therefore,

The two fractions, when multiplied together make 3/4 is (1/2)×(3/2).

= 3/4.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

5x + 1 = 56

Solving 2 step equations?

Answers

Answer:

the x would equal to 11 ,so x=11

Find the value of 71° + 72° + 73° + 74° + 75º.
Quick answer

Answers

Add them up and you get 365°

what is the total area of the figure above ?

Answers

Answer:

10*10/2=50

20^2-10^2=100

10*10/2=50

50+50=100

Step-by-step explanation:

B
27 m
24 m
18 m
List angles largest to smallest

Answers

Answer:27,24,18

Step-by-step explanation:

sorry if it’s wrong but I think so

You have 10 coins in your pocket. Five are Susan B. Anthony dollars, two are Kennedy half-dollars, and three are presidential dollars. You randomly
choose a coin In how many ways can choosing not a presidential dollar occur?
Kennedy
half-dollar
208080
SOLO
*1999
Susan B. Anthony
dollar
WE TRUST
O
Presidential
dollar
There are
ways you can choose not a presidential dollar.

Answers

Answer:

Im not sure about this one yet

Step-by-step explanation:

but give me a alittle and I'll be bk right away

Not choosing a presidential dollar can occur in 7 ways

Calculating Number of ways for choice

Given : Total 10 coins - 5 susan anthony dollars, 2 kennedy half dollars, 3 presidential dollars

To calculate : Number of ways through which non presidential dollar can be chosen

It can be calculated using Combination Choices

The dollar chosen is out of 7 dollars - 5 susan anthony dollars & 2 kennedy half dollars, ignoring & excluding the presidential dollars

So, number of ways = 7 c 1

= 7 ways

To learn more about Combinations, refer https://brainly.com/question/20211959?referrer=searchResults

The height (in feet) y of a bouncing ball and the time (in seconds) x since It was dropped, as shown in the graph below

Answers

Answer:

90 feet is the total distance,the total time will be the x value of the function's zero

Step-by-step explanation:

The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the mean, including the outlier of 78, equals 84, which statement is always true about the new data when the outlier is removed?

The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.

Answers

Answer:

Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.

We can find sum of all 16 test scores = 84(16) = 1344

Outlier found = 78

If outlier is removed new sum = 1344-78 = 1266

Number of entries without outlier = 15

New average = 1266/12 =84.4

We find that average of new data increases.

Also whenever we remove outlier std deviation also would be reduced.

Step-by-step explanation:

Answer:

The mean would decrease.

Step-by-step explanation:

Without the outlier, the mean decreases. The median stays the same with or without the outlier.

represent 35 in many ways

Answers

35 is an odd number and word form thirty five expanded form 30+5 and standard form 35

Answer:

............

Step-by-step explanation:

Thirty five

30+5

PLease help the question is in the photo

Answers

Bottom right, becasue you have more than 30, and less than or equal to 15 :)

Which system of inequalities has no solution?

Answers

Answer:

i think c

Step-by-step explanation:

Please help!! Pleaseeee​

Answers

Answer:

pretty sure its the first and 3rd one sorry if im wrong

Step-by-step explanation:

Find the product of (x − 3)2.

x2 + 6x + 9
x2 − 9
x2 − 6x + 9
x2 + 9

Answers

Answer:

The answer is number 3

Step-by-step explanation:

[tex] {(x - 3)}^{2} = {x }^{2} - 6x + 9[/tex]

Answer:

answer- 3

Step-by-step explanation:

9(x−3)

2

=x

2

−6x+9

The following graphs are transformations of f(x) = x^2.




Complete the boxes below to describe the transformations.


A(x) = f (x + _) + _
B(x) = f (x + _) + _
C(x) = f (x + _) + _
D(x) = f (x + _) + _

Answers

Step-by-step explanation:

Let's look at A(x) and see how it is different from f(x)

it is shifted downwards by 8 unitsit is not shifted to the left or the right

Therefore A(x) = f(x) - 8

Let's look at B(x) and see how it is different from f(x)

it is not shifted downwards or upwardsit is shifted to the left 7 units

Therefore B(x) = f(x + 7)

Let's look at C(x) and see how it is different from f(x)

it is shifted upwards by 4 unitsit is shifted to right by 5 units

Therefore C(x) = f(x - 5) + 4

Let's look at D(x) and see how it is different from f(x)

it is not shifted downwards or upwardsit is not shifted to right by 12  units

Therefore D(x) = f(x - 12)

(4X + 7) X [5(X - 40)]

Answers

Answer:

4X + 7) =[5(X - 4)]{vertically opposite angle}

4x+7=5x-20

5x-4x=7+20

x=27

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