Find the magnitude and direction of the vector. Round the length to the nearest tenth and the degree to the nearest unit. Diagram is not drawn to scale.

Find The Magnitude And Direction Of The Vector. Round The Length To The Nearest Tenth And The Degree

Answers

Answer 1
Refer to the diagram shown below.

The vector has a magnitude of a and a direction of θ degrees south of west. 

Use the Pythagorean Theorem to calculate a.
a² = (-530)² + (-200)² = 320900
a = √(320900) = 566.48 mi ≈ 566.5 mi

By definition,
tan θ = (-200)/(-530) = 0.3774
θ = tan⁻¹ 0.3774 = 20.68° ≈ 21°

Answer: about 566.5 mi; 21° south of west.

Find The Magnitude And Direction Of The Vector. Round The Length To The Nearest Tenth And The Degree

Related Questions

What is the value of y in the equation 2 + y = −3 ?

Answers

the answer is y would equal -5

Evaluate the expression 5m – 6 for m = 7. 29 41 5 51

Answers

Hi, 
  So we know that M is 7 so what you should do is this

5x7-6

you need to multiply 5x7

5x7= 35

Now all you need to do is subtract 35 from 6 and you get 29!


When m = 7, the expression 5m - 6 evaluates to 29.

To evaluate the expression 5m - 6 for m = 7, we substitute m with 7:

5m - 6 = 5(7) - 6

Next, we perform the multiplication first:

5(7) = 35

Now we can substitute the value into the expression:

5m - 6 = 35 - 6

Finally, we perform the subtraction:

35 - 6 = 29

Therefore, when m = 7, the expression 5m - 6 evaluates to 29.

To know more about expression, refer here:

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A small business examines the income of 10 random households to determine if the community will be a good location for a store. Four of the households have an income between $30,000 - $55,000. Five of the households have an income between $70,000 - $100,000. One household has an income of over $700,000. Using the data obtained, which measure of central tendency will be greatly over-estimated?
A) mean
B) mode
C) median
D) None of the measures will be greatly over-estimated.

Answers

The answer is............... B

Answer:

mean trust me

Step-by-step explanation:

A welder orders argon gas and pure oxygen. The distributor requires a minimum order of $250. A cubic foot of argon gas costs $0.75 and a cubic foot of pure oxygen costs $0.50. To summarize the situation, the welder writes the inequality: 0.75a + 0.5p ≥ 250, where a is the number of cubic feet of argon gas and p is the number of cubic feet of pure oxygen. Which graph's shaded region shows the possible combinations of argon gas and pure oxygen the welder can buy?

Answers

0.75a + 0.5p ≥ 250
 The first thing you should do in this case is to plot the straight line.
 Next, you must evaluate ordered pairs of points in the given inequality to verify that the inequality is met.
 The set of points that meet the inequality will be given by the shaded region.
 Answer 
 See attached image.

Answer: Its the Last one

Step-by-step explanation:,,,, HOPE it helps :}

In a triangle, the sum of two of the angles is equal to the third. If the lengths of the two longer sides are 12 and 13, what is the length of the shortest side?

Answers

The sum of two angles is equal to the third

The longer sides (longer and longest) is 12 and 13

13 - 12 = 1

this means that the length of the shortest side is 1 (for 1 + 12 = 13)

hope this helps
5 is the answer thx hope this helps

Sorry me again how do I do this?

Answers

Divide 10 into 50 and you'll get your answer

A wall in Marcus's bedroom is feet high and feet long. If he paints of the wall blue, how many square feet will be blue?

Answers

Final answer:

To find the square footage of a wall painted blue, you would first calculate the total size of the wall by multiplying the wall's height and length. Then, you would multiply this number by the proportion of the wall you plan to paint blue. This will give you the number of square feet that will be coloured blue.

Explanation:

This question pertains to the mathematical concept of resolving problems involving areas and percentages. Marcus's wall's total area can be calculated by multiplying the wall's length and height. However, since the measurements have not been provided in the question, let's assume their values to be 'L' and 'H' feet respectively. The area of the wall would then be simply H*L square feet.

 

Now, if Marcus decides to cover a certain percentage of this wall with blue paint, we must determine the total square feet being painted. If the proportion of the wall to be painted is 'P', the blue-painted area is given by H*L*P (P being a decimal representation of the given percent, i.e., 20% would be represented as 0.20).

 

Therefore, the number of square feet that will be blue is the product of the total wall area and the proportion to be painted blue.

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What is the surface area of the prism

Answers

not 100% sure its been a while. but ill try to explain.

so for the box on the top the sides are 10 and 8. the squares area is 80. 

or the triangles, the height is 3 inches and base is 8 inches. so 8x3 is 24. but for triangles you divide by two. so it would be 12 for one triangle resulting in 24 for both of them.

now lets combine the bottom two boxes. each side is 10 because 10 on one side and 5+5 is 10. so 10x10=100.
if we take all the values and add them up well get 204.(80+24+100=204.
have a good day


What is the ratio of the number of cups of apple juice to the number of cups of lemon-lime soda?

1:24
24:1
1:6
6:1

Answers

It has a 6:1 ratio meaning for every 6 cups of apple juice there is 1 cup of lemon-lime soda

I'm 100% sure the answer is D

A recent survey reveals that of the 250 poodle owners interviewed, 93% of them regularly groom their dogs. If there are 50,000 registered poodle owners in the city, how many owners are expected to regularly groom their dogs?

A. 46,500
B. 93
C. 3,500
D. 7

Answers

It's A, I'm 100% sure.

Which of the following is the converse of the statement "if it is snowing, then it is my Birthday?

Answers

If it is my birthday, then it is snowing
That would be "If it is my birthday, then it is snowing."

Hope this helps!

- Juju

The tennis team is selling tickets to a car wash for $6.When they do not sell very many tickets,the team decreases the price 25% what is the new cost of the ticket?

Answers

The new cost is $1.50
Answer= $4.50
If they decreased the original price by 25%, then the new tickets are....

100%-25%=75%

75% of the original price.

6*.75=4.5

The new cost of the ticket is $4.50

The tax rate on Jerome James 112000 vacation home is 25 Mills the property is assessed at full value how much will Jerome pay in taxes this year

Answers

Answer: $2,800

Step-by-step explanation:

Given: The assessment value of Jerome's home= [tex]$112,000[/tex]

We know that to calculate the property tax, we need to multiply the assessment value of the property by the mill rate and then divide by 1,000.

Then, the property tax is given by :-

[tex]\text{Property tax}=\dfrac{\$112,000\times25}{100}\\\\\Rightarrow=\text{Property tax}=\$2,800[/tex]

Therefore, Jerome pay $2,800 as property tax in this year.

Answer:

[tex]Property tax=$2800[/tex]

Step-by-step explanation:

Given: The assessment value of Jerome's home is given as =[tex]112000[/tex]

Solution: Since we know that in order to calculate the property tax, we need to multiply the assessment value of the property by the mill rate and also divide by [tex]1000[/tex].

Then, the property tax is given as :-

[tex]Property tax=\frac{112000{\times}25}{100}[/tex]

[tex]Property tax=$2800[/tex]

Thus, Jerome pay $2,800 as property tax in this year.

Given the following three measures of angles or sides, determine if it is possible to construct a unique triangle, more than one triangle, or no triangle.

sides 5 inches, 8 inches, and 15 inches
A) no triangle
B) a unique triangle
C) more than one triangle
D) the answer cannot be determined

Answers

A) no triangle
 I really hope this helps

Answer:

The answer is no triangle

Step-by-step explanation:

i put this answer on my test and i got it right.

YOU HAVE TO BE SURE ABOUT YOUR ANSWER BEFORE YOU POST! A slice is made parallel to the base of a right rectangular pyramid, as shown.

What is the area of the resulting two-dimensional cross-section?

Enter your answer in the box.

Answers

The area of the cross section has a length of 3.5 mm, and width of 2 mm, as given in the diagram.

Therefore the area of the section is 3.5*2=7 mm^2, using the area of rectangle formula.

Answer:

[tex]7\ mm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the resulting two-dimensional cross-section is the area of a rectangle

The area of a rectangle is equal to

[tex]A=bh[/tex]

we have

[tex]b=3.5\ mm[/tex]

[tex]h=2\ mm[/tex]

substitute

[tex]A=3.5*2=7\ mm^{2}[/tex]


what is the area of the figure on the coordinate plane below?

Answers

even numbers on die: 2,4,6odd numbers on die: 1,3,5 3+3=6 -> 6 numbers in total3/6 chance because there are 3 even numbers. This would round to 1/2, so 1/2 

Please put these in the correct order

Answers

The first tile goes to 4p3q2

The second tile goes to 8pq5

The third tile goes to 4p2q5

The fourth tile goes to 8p2q

convert a 30% markup percent on cost to markup percent on selling price. (round to the nearest hundredth percent)

Answers

40 percent i hope this helps

Answer:

23.08 %

Step-by-step explanation:

Markup price is the difference between the selling price and cost price of an item.

m = Markup = 30

s = Selling price = 130

[tex]\text{Markup percent on selling price}=\frac{m}{s}\times 100\\\Rightarrow \text{Markup percent on selling price}=\frac{30}{130}\times 100\\\Rightarrow \text{Markup percent on selling price}=23.08\ %[/tex]

∴ Markup percent on selling price is 23.08 %

big points+ brainiest

Answers

To get the length, just divide the area, which is 680, by 17, the width. 
680 ÷ 17 = 40 
The answer is D, 40 feet. 
Hope this helps!
a 228 

hope this helps

Solve this problem - 35q = 5

Answers

The answer is q = -7. Please make brainliest! ☺
Divide both sides by -35 
You get q=-5/35
Which is equal to q=-1/7
The answer is q=-1/7

Graph the linear equation find three points that solve the equation then plot on the graph 2y=-x+2

Answers

I guess this is the line
[tex] \binom{0}{2} \binom{2}{3} \binom{4}{4} [/tex]

Answer:

Step-by-step explanation:

A circle is drawn within a square as shown. What is the best approximation for the area of the shaded region? Use 3.14 to approximate pi. 21.5 cm² 78.5 cm² 100 cm² 178.5 cm² Circle inscribed inside a square with outside shaded, one side labeled 10 cm

Answers

To answer this question you will need to find the area of the square, and subtract the area of the circle from it. To find the area of the square you will multiply the length by the width In this case it would be 10×10 = 100 cm². To find the area Of the circle you would use the formula A =equals Pi times the radius squared. Since the diameter of the circle is 10 cm, the radius would be 5 cm. This would be 3.14×5 squared. The value of this is 78.5 cm². 100 cm² -78.5 cm² equals 21.5 cm² which is the answer.

what point is on the graph of every direct variation equation

Answers

Answer: The point (0,0)
This point is also known as the origin

The reason why is because every direct variation equation is of the form y = k*x
where k is some fixed number

If we plugged in x = 0 it leads to y = k*x = k*0 = 0. So (x,y) = (0,0)
Final answer:

In a direct variation equation, the graph passes through the origin (0,0). Every point on the graph can be represented as (kx, ky), where k is a constant.

Explanation:

In a direct variation equation, the graph passes through the origin (0,0). This means that when x=0, y=0. Every point on the graph can be represented as (kx, ky), where k is a constant. For example, if the direct variation equation is y = 2x, the graph would pass through (0,0), (1,2), (2,4), (3,6), and so on.

In a division problem the ____ is the original number, which is being divided by the divisor, to get the quotient.

Answers

The original number in a division problem is called the dividend.
Dividend is divided by the divisor hopes this helps :)

#10 plz explain I did it and got -8 and I know that's wrong

Answers

x+1/-4-4x
Factor out the common term 4
x+1/−4(1+x)
rearrange
1 + x / -4 ( 1 + x)
cancel out 1 + x
1 / -4
rewrite
-1/4
Decimal form -0.25
Hope this helps​​

Solve for x.

4/5 = 7/x

Answers

the answer is 8.75 because 7 * 5 is 35 / 4 = 8.75

What is another way to write 5(n-3)

Answers

5n -15 
hope it helps
please mark as brainliest

Another way to write 5(n-3) would be 5n - 15.

What is the solution for the system of equations?

Use the substitution method to solve.

y=5−3x
5x−4y= −3

Enter your answer in the boxes.

Answers

When using the substitution method for a system of equations, one equation should be y = ...  or x = ... (if both equations are not in this format you need to make one equation this way).
Once you have an equation in one of these formats, you take the equation and input it into the value of its correspondent of the other equation.
In this case you have y= 5-3x and 5x-4y=-3.
You should have 5x-4(5-3x)=-3.
Note how the first equation is substituted for the y value of the second equation. 
Next solve. First distribute, 5x-20+12x=-3. Combine like terms. 17x-20=-3. Separate the variable and constants by adding 20 to both sides.
17x-20+20=-3+20 -> 17x=17. Divide both sides by 17 to get x = 1.
Now we need to find y. Go back to the first equation and input your x value into it and solve. y=5-3(1) -> y=5-3 -> y = 2
You can check your answer by inputting both values into the second equation and solving. 5(1)-4(2)=-3 -> 5-8=-3 -> -3=-3
The answer is (1,2)

The length of the sides of a triangle are three consecutive integers. If the perimeter is 87, find the dimensions of the triangle. Show all work.

Answers

you can divide 87 by 3 which is 29, so each angle will be 29 degrees.
Since they are consecutive, that means they will all measure the same.

Hope this helps! :)
x = smallest side length
x+1 = midsized side length
x+2 = largest side length

Add up the three sides. Set the sum equal to 87 and then solve for x
(x)+(x+1)+(x+2) = 87
(x+x+x) + (1+2) = 87
3x+3 = 87
3x = 87-3
3x = 84
x = 84/3
x = 28

If x = 28, then
x+1 = 28+1 = 29
x+2 = 28+2 = 30

So the triangle has the three sides: 28, 29, 30
Check: 28+29+30 = 87

complete a table for the rule y = x2 + 2. Use negative and positive values and 0 for x

Answers

Assuming you meant y=x^2+2
x | y
-2|6
-1 |3
0 |2
1 |3
2 |6

Table:

| x  | y = x^2 + 2 |

|----|-------------|

|-3  | 11          |

|-2  | 6           |

|-1  | 3           |

| 0  | 2           |

| 1  | 3           |

| 2  | 6           |

| 3  | 11          |

let's complete a table for the rule [tex]\( y = x^2 + 2 \)[/tex] by plugging in various values of [tex]\( x \)[/tex], including negative, positive, and zero, and then calculating the corresponding values of [tex]\( y \)[/tex] .

Given the rule [tex]\( y = x^2 + 2 \)[/tex], we'll substitute different values of [tex]\( x \)[/tex] into the equation and solve for [tex]\( y \)[/tex]. Here's a step-by-step process:

1. Choose values for [tex]\( x \)[/tex]. Let's pick a range of values, including negative, positive, and zero, to get a good representation of the function.

2. Substitute each chosen value of [tex]\( x \)[/tex] into the equation [tex]\( y = x^2 + 2 \)[/tex].

3. Calculate the corresponding value of [tex]\( y \)[/tex] by performing the arithmetic operations.

4. Record the pairs of [tex]\( x \)[/tex] and [tex]\( y \)[/tex] values in a table.

Here's the completed table:

| [tex]\( x \) | \( y = x^2 + 2 \)[/tex] |

|---------|-----------------|

| -3      | [tex]\( (-3)^2 + 2 = 9 + 2 = 11 \)[/tex] |

| -2      | [tex]\( (-2)^2 + 2 = 4 + 2 = 6 \)[/tex] |

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

| 0       | [tex]\( (0)^2 + 2 = 0 + 2 = 2 \)[/tex] |

| 1       | [tex]\( (1)^2 + 2 = 1 + 2 = 3 \)[/tex] |

| 2       | [tex]\( (2)^2 + 2 = 4 + 2 = 6 \)[/tex] |

| 3       | [tex]\( (3)^2 + 2 = 9 + 2 = 11 \)[/tex] |

This table shows the relationship between [tex]\( x \)[/tex] and [tex]\( y \)[/tex] for the given rule [tex]\( y = x^2 + 2 \)[/tex], covering a range of values for [tex]\( x \)[/tex] including negative, positive, and zero.

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