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kompoz [17]
3 years ago
10

20. Find the amplitude and period of the function f (x) = -2 sin x.

Mathematics
1 answer:
Georgia [21]3 years ago
4 0

Answer:

Step-by-step explanation:

Amplitude=2

period=2π

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The vectors x and y are unit vectors that make and angle of 30 degrees with each other. Calculate the value of | 2x + y | and th
ICE Princess25 [194]

Answer: the value of | 2x + y | = 1.39

the direction of 2x + y = 21° 

Step-by-step explanation:

Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.

Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.

Therefore 

2x-y=

2< 1,0 > - < cos(30),sin(30) >

=<2-(√2)/2, 0-1/2>

and

|2x-y|=√((2-(√2)/2)² + (-1/2)^2)

=1.3862 

Therefore the value of | 2x + y | = 1.39

=atan((-1/2)÷(2-(√2)/2))

=atan(1.29289/-0.5)

=-0.369 radians

= -21.143° 

Therefore the direction of 2x + y is

21° 

5 0
3 years ago
You want to put a fence around your field. The cost of fencing is $60 per meter. The
Darina [25.2K]
Cost per meter(C) = $60/m
Length of rectangular field(L) = 50m
L = 2W
-> W = L/2
-> W = 50/2
-> Width of rectangular field = 25m
Cost of one field length(l) = L x C
-> l = 50 x 60
-> l = $3000
Two of the lengths of the field = 2 x l
-> 2 x $3000
-> $6000

Cost of one field width(w) = W x C
-> w = 25 x 60
-> w = $1500
Two of the widths of the field = 2 x w
-> 2 x $1500
-> $3000

Cost of fencing entire field = $6000+$3000
Hence, total field cost = $9000


3 0
2 years ago
Which of these is a safe practice when working with horses?
Minchanka [31]

Answer:

i think the awnser is c . if unattended, leave the horse tire up

3 0
2 years ago
What is the answer to the question down below
ratelena [41]

We conclude that the measure of that angle is 150 degrees.

<h3>How to get the measure of angle BFE?</h3>

Notice that  the measure of angle ∠BFE will be equal to:

∠BFE = ∠BFC + ∠CFD + ∠DFE

Where:

∠CFD = 90°

∠DFE = 30°

And we will have that:

∠AFC = 180° - 90° - 30° = 60°

And we know that BF bisects that angle, then:

∠BFC = 30°

So we conclude that:

∠BFE = ∠BFC + ∠CFD + ∠DFE = 30° + 90° + 30° = 150°

We conclude that the measure of that angle is 150 degrees.

If you want to learn more about angles:

brainly.com/question/17972372

#SPJ1

5 0
1 year ago
Name an inscribed angle
Vladimir79 [104]

Answer:

BHF

Step-by-step explanation:

Definition of inscribed

6 0
3 years ago
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