1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
klio [65]
3 years ago
14

The vector has components +5 and +7 along the x- and y-axes respectively. along a set of axes rotated 90 degrees counterclockwis

e relative to the original axes, the vector's components are

Mathematics
2 answers:
Natali5045456 [20]3 years ago
8 0
Original Vector components are +5 in x-axis & +7 in y-axis,

After rotating 90 degrees counterclockwise,

Now, Vector components are +7 in x-axis & +5 in y-axis.
lisabon 2012 [21]3 years ago
6 0
Refer to the diagram shown below.

Let the coordinates of the rotated vector be (a,b).
From the Pythagorean theorem,
d = √(5² + 7²) = 8.6023

The angle θ is given by
tan θ = 7/5 = 1.4
θ = tan⁻¹ 1.4 = 54.46°
φ = 180 - (90 + 54.46) = 35.54°

The coordinates of the rotated vector are
a = - d cos φ = - 8.6023*cos(35.54) = 7
b = d sin φ = 8.6023*sin(35.54) = 5

Answer:  (-7, 5)

You might be interested in
Sila jogged 12 kilometers today and wants to know how far she traveled in feet. What error did Sila make while converting from k
ozzi

Answer:

umm i'm not rly sure what's going on here...but here's how i'd do it

Step-by-step explanation:

3280.84x12=39370.08 which is about 3,9370 feet.

to double check let's do an algebraic expression

1/3280.84=x/12        cross multiply

x(1)=3280.84(12)       simplify

x=39370.08

hope that helped.

8 0
3 years ago
What is the measure of ∠DAE?
Nadusha1986 [10]
Triangle is the measure of
6 0
3 years ago
Read 2 more answers
A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true? A. ABCD is
Dima020 [189]

Hey There!!

The answer to this is: A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true?" Line BC is parallel to line AD because their slopes is equal i.e. (0 - 0) / (7 - 2) = (5 - 5) / (8 - 3) which gives 0 / 5 = 0 / 5 giving that 0 = 0. We check whether line AB is parallel to line CD. Slope of line AB is given by (0 - 5) / (2 - 3) = -5 / -1 = 5. Slope of line CD is given by (5 - 0) / (8 - 7) = 5 / 1 = 5 We have been able to prove that the opposite sides of the quadrilateral are parallel which means that the quadrilateral is not a trapezoid. Next we check whether the length of the sides are equal. Length of line AB is given by sqrt[(0 - 5)^2 + (2 - 3)^2] = sqrt[(-5)^2 + (-1)^2] = sqrt(25 + 1) = sqrt(26) Length of line BC is given by sqrt[(0 - 0)^2 + (7 - 2)^2] = sqrt[0^2 + 5^2] = sqrt(25) = 5 Length of line CD is given by sqrt[(5 - 0)^2 + (8 - 7)^2] = sqrt[5^2 + 1^2] = sqrt(25 + 1) = sqrt(26) Length of line DA is given by sqrt[(5 - 5)^2 + (8 - 3)^2] = sqrt[0^2 + 5^2] = sqrt(25) = 5 Thus, the length of the sides of the quadrilateral are not equal but opposite sides are equal which means that the quadrilateral is not a rhombus. Finally, we check whether adjacent lines are perpendicular. Recall the for perpendicular lines, the product of their slopes is equal to -1. Slope of line AB = 5 while slope of line BC = 0. The product of their slopes = 5 x 0 = 0 which is not -1, thus the adjacent sides of the quadrilateral are not perpendicular which means that the quadrilateral is not a rectangle. Therefore, ABCD is a parallelogram with non-perpendicular adjacent sides. Thus, For (option A).

Hope It Helped!~ ♡

ItsNobody~ ☆

7 0
3 years ago
They will build another fence that is 48 feet long. The posts can be a minimum of 5 feet apart and a maximum of 9 feet apart. Th
lozanna [386]
6 posts at 8 feet apart because 8 goes into 48 equally and you get 6. 48/8=6

Hope this helps!
4 0
3 years ago
There are 45678 males, 32257 females and 59179 children in a town. Find the total population of the town.
marysya [2.9K]

Answer:

137,114

Step-by-step explanation:

First, add 45,678 and 32,257 together, then add 59,179 to it, and you get 137,114.

3 0
2 years ago
Other questions:
  • Which number is IRRATIONAL?
    13·2 answers
  • PLEASE HELP WILL GIVE BRAINLEIST ANSWER AND STARS AND THANK BOTH ON YOUR PROFILE AND ANSWER!!!!!!!!!!!!!!!!
    13·2 answers
  • The equation B = 1400(1.05)^5 is being used to calculate the amount of money in a savings
    15·1 answer
  • explain how estimating the quotient helps you place the first digit the quotient of a division problem
    7·2 answers
  • Can someone please help me?
    9·2 answers
  • A bag contains 2 red, 5 blue, and 3 green balls. A ball is chosen at random. What is the probability of not choosing a red ball?
    11·2 answers
  • Ted is asked to multiply 10 to the second power x 18.72. How Should he move the decimal point
    8·1 answer
  • a man weighs 53 pounds more than his wife, if their total weight is 313 pounds, how many more pounds does the man weigh?
    11·2 answers
  • a store bought a diamond ring at a cost of 8000 and marked it up 25%.Tommy bought it and paid 15% sales tax.what was his total c
    11·1 answer
  • Where are my taurus’s At??
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!