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
mamaluj [8]
3 years ago
5

Find the transformation matrix that rotates a rectangular coordinate system through an angle of 120° (counterclockwise) about an

axis making equal angles with the original three coordinate axes.
Mathematics
1 answer:
astra-53 [7]3 years ago
4 0
Since the coordinate system is rectangular, we have the matrix
[ x ]
[ y ]

The transformation matrix is
[ cos 120   sin 120 ] [ x ] = [ x' ]
[ -sin 120  cos 120 ] [ y ] = [ y' ]<span />
You might be interested in
I need help. See attachment for detail.
lesantik [10]

Answer:

4.5

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
ahmed is sitting on a dock watching a float plane in a harbour. At a certain time, the plane is 350 m above the water and 470 m
Pavel [41]

Answer:

The angle of elevation of the plane measured from Ahmed is approximately 36.67°

Step-by-step explanation:

The given parameters of the float plane are;

The height of the float plane above the water, y = 350 m

The horizontal distance of the float plane from Ahmed, x = 470 m

Given that Ahmed is sitting on the dock, by the water, by trigonometric ratios, we have;

The height of the float plane, the distance of the plane from Ahmed and the line of sight forming the angle of elevation of the plane measured from Ahmed, form a right triangle

tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ Leg\ length}

Therefore

tan(\theta) = \dfrac{y}{x}

Where;

θ = The angle of elevation of the plane measured from Ahmed

y = The leg of the right triangle opposite the reference angle

x = The leg  of the right adjacent to reference angle

Therefore;

θ = arctan(y/x) which gives;

θ = arctan(350/470) ≈ 36.67°

The angle of elevation of the plane measured from Ahmed, θ ≈ 36.67°.

8 0
3 years ago
What is 3/5 divided by 1/3 ??
zhannawk [14.2K]
1 4/5 would be the answer
3 0
3 years ago
Which number is opposite of -5 in both its value and direction it lies on a number line?
ASHA 777 [7]

Answer:

The opposite of - 5 would be 5

Step-by-step explanation:

Because opposite number only means a number with an oposite sign

6 0
3 years ago
Select the correct answer from the drop-down menu.
Papessa [141]

Answer:

21 times

Step-by-step explanation:

Given

P(3) = 50 \%

n =42

Required

The least number of times to land on 3

This is calculated using:

Least = n * P(3)

Least = 42 * 50\%

Least = 21

4 0
2 years ago
Other questions:
  • Dividing my dog's age by 4 and adding 6 is the same as dividing my dog's age by 8 and adding 8.
    9·1 answer
  • 5 thousands 2 tens 4 ones +4 thousands 3 hundreds 2 ones
    7·2 answers
  • Anyone know this?<br> Pls help now.
    5·2 answers
  • When at the third floor, how far is the base of the ladder from the base of building
    6·1 answer
  • Condense the following logarithm: 5log_4(a) - 6log_4(b)​
    8·1 answer
  • Mrs. Kaplan"s son, Carter, can crawl 125 feet in 1.5 minutes. He can walk 384 feet in 4 minutes. Is he faster on all fours or on
    9·1 answer
  • What is the probability that I flip a coin three times and they are all heads? (Round to the nearest percent)​
    15·1 answer
  • Find the midpoint of the line segment with endpoints p1 (5/3,5/12) and p2 (-1/3,7/12)​
    7·1 answer
  • An electrician completes 1/6 of a job in 2/3 hour. at this rate, how long does it take the electrician to complete the job?
    6·2 answers
  • Which is the area of the circle shown? Use 3.14 for π.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!