All categories

2 years ago

How do you find a vector of length 10 in the direction of vequals=left angle 3 comma negative 2 right angle3,−2?

1 answer:

4 0

First we look for the angle of the vector, which will be given by:
tan (x) = (- 2/3)
Clearing x we have:
x = ATAN (-2/3) = - 33.69 degrees.
Which means that the angle is 33.69 degrees measured clockwise from the x axis.
Equivalently the angle is
360-33.69 = 326.31 degrees
326.31 degrees measured counterclockwise from the x axis.
The vector is then:
v = 10 (cos (326.31) i + sin (326.31) j)
answer
v = 10 (cos (326.31) i + sin (326.31) j)

You might be interested in

Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at lea

Reika [66]

Refer to the diagram shown below.

The given constraints are
(a) y ≥ 24 ft
(b ) x ≤ 10 ft
(c) y ≥ 3x
(d) y ≤ 33 ft
The acceptable region is shown shaded.

A (0, 33) satisfies all conditions
B (4, 36) fails condition (d)
C (4.8, 30.5) satisfies all conditions
D (9, 26) fails condition (c)
E (2, 22) fails condition (a)

Answer:
The acceptable points are A and C.

8 0

2 years ago

Read 2 more answers

An angle measures 40° more than the measure of its complementary angle. What is the measure of each angle?

goldenfox [79]

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣an o⁣⁣⁣nly u⁣⁣⁣pload i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting s⁣⁣⁣ervice. l⁣⁣⁣ink b⁣⁣⁣elow!

bit. $^{}$ ly/3a8Nt8n

7 0

2 years ago

Read 2 more answers

Mark wants to buy 5 new video games from

vlada-n [284]

He will have to pay about $82.34 at the checkout.

4 0

2 years ago

using the standard form ax^2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear f

Galina-37 [17]

Answer:

See below

Step-by-step explanation:

Since you didn't give an actual quadratic equation and just the standard form equation, I will reduce ax^2+bx+c=0:

(ax+p)(x+q) where p+q=b and pq=c

5 0

2 years ago

Suppose an NBA basketball player shooting an uncontested 2-point shot will make the basket with probability 0.6. How- ever, if y

Snezhnost [94]

Answer:

0.06

Step-by-step explanation:

The computation of the value of p is shown below;

P in the case (2 points if not fouled) = 0.6

Now Expected points if not fouled is

= 0.6 × 2

= 1.2

Now Expected points from free throw is

0 × (1-p)^2 + 1 × 2p(1-p) + 2 × p^2 = 2p

As we can see that 2p would be lower tha 1.2 in order to make a foul on shooter that represent all values of p<0.06 would be considered to foul in the shooter

8 0

2 years ago

How do you find a vector of length 10 in the direction of vequals=left angle 3 comma negative 2 right angle3,−2​?

How do you find a vector of length 10 in the direction of vequals=left angle 3 comma negative 2 right angle3,−2?