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aksik [14]
3 years ago
13

Please help it’s due in 10 minutes

Mathematics
1 answer:
AnnZ [28]3 years ago
8 0

Answer:

x=9

Step-by-step explanation:

5*9=45

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Given c=(2.4,0.45) and d = (7,-4) find the direction of 5c+4d
kakasveta [241]

Answer:

The direction of 5c + 4d is approximately 19.0° clockwise with

the positive part of x-axis

Step-by-step explanation:

* Lets talk about the direction of a vector

- If the vector is (x , y), then  

# Its magnitude is √(x² + y²)

# Its direction is tan^-1 (y/x)

- The direction is the angle between the positive part of x-axis and  

  the vector

* Lets solve the problem

∵ c = (2.4 , 0.45) and d = (7 , -4)

- To find 5c + 4d , multiply the two coordinates of c by 5 and the two

  coordinates of d by 4

# Multiply c by 5

∴ 5c = [5(2.4) , 5(0.45)]

∴ 5c = (12 , 2.25)

# Multiply d by 4

∴ 4d = [4(7) , 4(-4)]

∴ 4d = (28 , -16)

- Lets add 5c and 4d

∴ 5c + 4d = (12 , 2.25) + (28 , -16)  

∴ 5c + 4d = [(12 + 28) , (2.25 + -16)]

∴ 5c + 4d = (40 , -13.75)

- The vector is in the 4th quadrant because the x-coordinate is

 positive and the y-coordinate is negative

* Find the direction of 5c + 4d

∵ The direction is tan^-1 (y/x)

∴ The direction is tan^-1 (-13.75/40) = -18.97°

* The direction of 5c + 4d is approximately 19.0° clockwise with

 the positive part of x-axis

3 0
3 years ago
1. What is the measure of angle x? O 60° O 90° O 45° O 30°​
True [87]

Answer:

Angle x= 60°

Step-by-step explanation:

For the triangle HIL, you're going to add 30+90=120

Angles in a triangle add up to 180.

So, therefore,

180-120=60   so angle L must equal 60.

HJ is a straight line and angles in a straight line add up to 180.

180-90=90

Angle JIL is equal to 90.

To find y you add 90+45 which equals 135.

Again, angles in a triangle add up to 180.

180-135=45

So,

y = 45

Now we are told that IJK is a right angle and that we are given that IJL is 45. 45 is half of 90 so LJK must be 45.

To find angle JLK we must add angle L and angle y.

60+45=105

Angles in a straight line add up to 180. So,

180-105=75

75 = Angle JLK

75+45=120

Angles in a triangle add up to 180 so,

180-120= 60

Angle x= 60°

Hope this helped, if so please award me with the brainliest if possible. If you require further assistance from me comment below! :)

5 0
2 years ago
PLEASE HELPPPP !!!!!!!!!
Brilliant_brown [7]

Answer:

negative 7

Step-by-step explanation

3 0
2 years ago
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I don't understand :/
makkiz [27]

Answer:

The frequency is relatable

Step-by-step explanation:

5 0
3 years ago
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Help please giving brainliest
rewona [7]

Answer:

A: 28 cm

Step-by-step explanation:

4 0
2 years ago
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