Mathematics College


A car travels 32 km due north and
then 46 km in a direction 40° west of
north. Find the magnitude of the
car's resultant vector.
[ ? ] km
Round to the nearest tenth.

Answers

Answer 1

9514 1404 393

Answer:

  73.5 km

Step-by-step explanation:

The magnitude can be found from the law of cosines. The angle between the two vectors is 140°, so the magnitude is ...

  c^2 = a^2 + b^2 -2ab·cos(C)

  c^2 = 32^2 +46^2 -2·32·46·cos(140°) ≈ 5395.2348

  c = √5395.2348 ≈ 73.452

The magnitude of the resultant vector is about 73.5 km.

A Car Travels 32 Km Due North Andthen 46 Km In A Direction 40 West Ofnorth. Find The Magnitude Of Thecar's

Related Questions

The base angle of an isosceles triangle measures 36 degrees What is the measure of its vertex angle?

Answers

Step-by-step explanation:

180 - 36(2) = 108(The angle of vertex angle)

4 less than the product of 8 and a number is equal to 6​

Answers

5 I think that should
6x-4=8
+4 +4
6x=12
6x/2=12/6
X=2

what is the measure of angle r in triangle QRS shown below, given r=10 q=20 and Q=100 round answer to the nearest tenth

HELP PLEASE

Answers

Answer:

29.3°

Step-by-step explanation:

Given triangle QRS with:

∠Q = 100° is opposite to q = 20∠R = ? is opposite to r = 10

Use the law of sines to solve:

sin 100 deg / 20 = sin x / 100.98 / 2 = sin ∠R  (rounded)sin x∠R = 0.49∠R = arcsin 0.49∠R = 29.3° (rounded)

Answer:

29.5

Step-by-step explanation:

original had 29.3 which is not an option. 29.5 is right.

Susan needs to simplify the expression shown below.

75 − ( 8 + 45 ÷ 3 ) x 2

What is the correct solution for Susan’s expression?

Answers

Answer:

The answer to 75 - ( 8 + 45 ÷ 3 ) × 2= 29

1. Student ID number at a certain University are made up of a letter, followed by six 1-digit
numbers, and then another letter (example: L132389M). How many student ID numbers are
possible if the letters cannot be repeated? [4 points]

Answers

Answer:

650,000,000 student ID numbers are possible if the letters cannot be repeated.

Step-by-step explanation:

The order in which the digits or letters are placed is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

2 letters from a set of 26(permutations, as letters cannot be repeated).

6 digits, each with 10 possible outcomes.

How many student ID numbers are possible if the letters cannot be repeated?

[tex]T = 10^6 \times \frac{26!}{24!} = 650000000[/tex]

650,000,000 student ID numbers are possible if the letters cannot be repeated.

The area of a rectangular picture frame is 93.5 square inches. The area formula for a rectangle is A=l⋅w. Write and solve an equation to find the width, w, of the picture frame.

Answers

Answer:

W=A/L

Step-by-step explanation:

If the area of the rectangle is L*W, you can just rearrange the equation A=L*W to get W=A/L, an equivalent equation.

Good night I will send you a picture ​

Answers

Answer:

goodnight :)

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Using a reciprocal for [tex]3\frac{3}{4}[/tex] what is [tex]8\frac{1}{5}[/tex]÷[tex]3\frac{3}{4}[/tex]

Answers

Answer:

123/4

Step-by-step explanation:

3 3/4=15/4

Reciprocal of 15/4=-4/15

8 1/5 / 3 3/4

=41/5 / 15/4

= 123/4

I didn’t get the first part of the question that well but this is the answer for the question

Pls Need Help! Thank you

Answers

Answer:

y = [tex](\frac{1}{2})^{-x} +4[/tex]

Step-by-step explanation:

In order to achieve the following transformation we need to do the following. To get the graph to be reflected accross the y-axis we need to change the sign of the x variable. Since the x-variable in this scenario is a positive we would change it to a negative. Next, we want to shift the graph 4 units up. To do this we simply need to add 4 to the entire equation. This would result in the following equation.

y = [tex](\frac{1}{2})^{-x} +4[/tex]

Both of these graphs can be seen in the image below.

A wind machine used to generate electricity has blades that are 10m in length. The propeller is rotating at 5 revolutions per second. Find the linear speed of the tips of the
blades. Express your answer in terms of n and using units meters per second.
A. 120n m/sec
B. 60n m/sec
C. 100n m/sec
D. 30n m/sec

Answers

Answer:

[tex]

\mathbb{ ANSWER }[/tex]

C. 100n m/sec

2
3
x +
1
2
y = 2
3
8
x +
5
6
y = −
11
2

Answers

Answer:

The answer is in the image below

Each scatter plot below shows the same data. Which scatter plot has the most reasonable line of best fit?​

Answers

Answer:

The second one where line go through more points

Step-by-step explanation:

the second one, the one at the bottom. because the line covers the majority of the plots on the graph

Please help, I don't understand anything about this question so I need a step-by-step answer so I am able to understand.

Answers

Answer:

First box, 0.8 - Green

Second Box - 0.4 - not green

Last box ( Bottom) - 0.7 - not green

b) 0.8

c) 0.3

d) 0.8 X 0.6 = ?? ( use calc)

e) (0.8 X 0.4 ) + (0.2 x 0.7) = Ans

Step-by-step explanation:

Just know probability will always add up to 1 no mater what!!!

A density curve for all the possible weights between 0 pounds and 1000
pounds is in the shape of a rectangle. What is the height of the rectangle in
this density curve?
O A. 0.01
B. 0.0001
C. 0.001
O D. 0.1
SUBMIT

Answers

B. 0.0001
Is answer

Please answer 9 and 11

Answers

Answer:

9. 3x+11+25=90 90-36=54 54/3=x x=18

11. 45+3x=180, 180-45=135, 3x=135, 135/3=45 x=45

Sergio puts flowers in vases. He puts the same number of flowers in each
vase, as shown in the table below. How many vases does Sergio need for
112 flowers?

Answers

Answer:

Since there is so table shown here, I advice you to divide 112 with the number of flowers in each vase. Like for example lets say that the amount of flowers in each vase is 16. You would need to divide 112 and 16. Thats 7. So the "answer" would be 7. Do the same (divide 112) with the amount of flowers you have in your table.

Hey guys its me fitzroywilliamsjr6

Answers

Answer:

hello

Step-by-step explanation:

Answer:

Here, nice to meet you! I'm Avocadorable! lolz ;)

Find the missing side

Answers

It is 23 pulse 26 which is 49. And the triangle is right so it is 90 degrees. so 90-49 is 41

Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. sin 3π /7 cos 2π/ 21 − cos 3π/ 7 sin 2π/ 21

Answers

Answer:

sin(3π/7 - 2π/21)

Step-by-step explanation:

Given

sin 3π /7 cos 2π/ 21 − cos 3π/ 7 sin 2π/ 21

Required

Write a trigonometry formula for the expression

Using sine formula, we have:

sin(A - B) = sinAcosB - cosAsinB

The above formula can be applied to the given expression where

A = 3π/7

B = 2π/21

So, the trigonometry formula is:

sin 3π /7 cos 2π/ 21 − cos 3π/ 7 sin 2π/ 21= sin(3π/7 - 2π/21)

Answer:

sin(π/3), exact value √3/2

Step-by-step explanation:

21 divided by 7 is 3, 3 - 2= 1, 1 is = π

What figure is formed by a locus of points
on a plane that are equidistant from a fixed
point?

Answers

A circle is formed.

Ethan earns $10 every hour for walking Ms. Barn's two dogs, plus an additional $7
for brushing the dogs after their walk. If Ethan earned $32 on Monday, find
the equation which best represents the situation?

Answers

H=hour
10h+7=32 would be the best equation. Hope this helps!

Divide. Round your answer to the nearest tenth.

Answers

the answer to your question is. 103.2

Does anyone know how to directly ask a tutor a question? It’s like the option to is gone. Answer asap please!

Answers

Answer:

Just find the button to ask a question. Search around for it.

Step-by-step explanation:

Answer find the button to ask a question.  you can search around for it

Step-by-step explanation:

What is the value of x ?

Answers

Answer:

x= - square root 141 or x= square root 141

well you have to do the hypotenuse number in ur calculator then find the length

In order to take good notes while reading, you must ask yourself ________________. a. “What is the main idea?” c. “What have I learned?” b. “What are the supporting details?” d. all of the above Please select the best answer from the choices provided A B C D

Answers

Answer: D do all of the above and you will get good grades

Step-by-step explanation:

Please help ! Please help! I put extra points! And I will heart you!

Answers

Answer:

89 degrees

Step-by-step explanation:

Answer:

91 degrees

Step-by-step explanation:

180-89=91 degrees

180 is the line that 89 degrees is on.

solve x + 1 > 3. graph the solution. can someone help me out??

Answers

Answer:

x>2

Step-by-step explanation:

x+1>3

x>3-1

x>2

I hope this helps

cooking like a chef im a five star michellin

Answers

Answer:

0o0

Step-by-step explanation:

umm... oki buddy

Answer;

oo nice

Step by step Explanation

If the answer is not integer, enter it as a fraction in the simplest from
- 3/2 • 8/6 divided by (- 2/15)

Answers

Answer:

15

Step-by-step explanation:

1) multiply  numerator x numerator and denominator x denominator

- 24/12

2) simplify the fraction

-24 : 12 = -2

12 : 12 = 1

-2/1 = -2

3) inverte the therms of -2/15 and change the sign of operation from : to x

- 2 x (-15/2)

4) multiply the numerators remembering that  minus x minus = +

30/2

5) simplify the fraction

30 : 2 = 15

2:2 = 1

15/1 = 15

Name
Austin - 4-12-21
Whole Numbers and Fractions
In 1-6, write an equivalent fraction for each whole number,
1. 6
2. 8
3. 4
4. 3
5. 1

Answers

Each one is just that whole number over one.

For instance for the number 7 it would be 7/1.

Hope this helps!

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