All categories

2 years ago

HELP!

Mathematics

1 answer:

Tju [1.3M]2 years ago

8 0

Answer:

(b) 7.28 cis(105.945°)

Step-by-step explanation:

The trig form of a vector is always ...

magnitude(cos(angle)·i +sin(angle)·j)

Sometimes, that is abbreviated ...

magnitude cis(angle) or magnitude∠angle

where the "angle" is measured counterclockwise from the +x axis.

The forms showin in choices C and D can be rejected immediately because the sine and cosine coefficients are incorrectly placed. To differentiate between choices A and B, you need to know whether the angle is greater than 90°. The terminal point is above and left of the initial point, so the angle must be more than 90°. (It can help to plot the points on a graph.)

u = 7.28(cos 105.945°i + sin 105.945°j)

You might be interested in

I need answer Immediately pls!!!!!!

Illusion [34]

Given:

Total number of students = 27

Students who play basketball = 7

Student who play baseball = 18

Students who play neither sports = 7

To find:

The probability the student chosen at randomly from the class plays both basketball and base ball.

Solution:

Let the following events,

A : Student plays basketball

B : Student plays baseball

U : Union set or all students.

Then according to given information,

$n(U)=27$

$n(A)=7$

$n(B)=18$

$n(A'\cap B')=7$

We know that,

$n(A\cup B)=n(U)-n(A'\cap B')$

$n(A\cup B)=27-7$

$n(A\cup B)=20$

Now,

$n(A\cup B)=n(A)+n(B)-n(A\cap B)$

$20=7+18-n(A\cap B)$

$n(A\cap B)=7+18-20$

$n(A\cap B)=25-20$

$n(A\cap B)=5$

It means, the number of students who play both sports is 5.

The probability the student chosen at randomly from the class plays both basketball and base ball is

$\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}$

$\text{Probability}=\dfrac{5}{27}$

Therefore, the required probability is $\dfrac{5}{27}$ .

3 0

3 years ago

Through any two points there is/are exactly ________ line(s).

Gwar [14]

One. that is the definition of a line.
Through any two points, there is exactly one line.

5 0

3 years ago

Read 2 more answers

Evaluate 3•r•(t—v) if r=2, t=6, and v=4

Oliga [24]

Answer:

Step-by-step explanation:

3*2*(6-4)

3*2*(2)

6*(2)

6 0

3 years ago

Read 2 more answers

If a cylinder’s radius and height are each shrunk down to a third of the original size, what would be the formula to find the mo

Lelu [443]

H, r

Surface Area = 2πrh

If the h, is now h/3 and the r, now r/3

Surface Area = 2π*r/3*h/3

= 2πrh/9

The modified surface area is reduced by 9 times.

5 0

4 years ago

Read 2 more answers

Sue used 3/8 cups of walnuts and 12/8 cups of almonds to make a nut mix how many more cups of walnuts than almonds

Debora [2.8K]

Answer:9 more cups

Step-by-step explanation:

if you subtracts 3 from 12 you get 9 and since you have the same denominator you will keep it the same number

6 0

4 years ago

Read 2 more answers