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leva [86]
3 years ago
13

SOLVE. 3 sin x + 5 cos x = 0

Mathematics
2 answers:
Nady [450]3 years ago
6 0
Subtract the 5cos(x)=>3sin(x)=-5cos(x) Divide by -5cos(x)=> (-3/5)tan(x)=1 Multiply by -5/3=>tan(x)=-5/3=>x=arctan(-5/3)
Anestetic [448]3 years ago
3 0
3 sin x + 5 cos x = 0
3 sin x = - 5 cos x  /: cos x ( divide both sides by cos x )
3 sin x / cos x = - 5
3 tan x = - 5
tan x = -5/3
x = arc tan (-5/3)
x ≈ - 59.036°
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Rearrange 2y+6x=8 to make y the subject of the formula
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Answer:

y= 3x+4

Step-by-step explanation:

2y-6x=8

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2y= 6x+8

divide each side by 2

2y/2 = 6x/2 + 8/2

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Find the perimeter of a rectangle whose length is 3 cm greater than its height, and whose area is 40 cm².
jonny [76]

Answer: 26\ cm

Step-by-step explanation:

The perimeter of a rectangle can be calcualated with this formula:

P=2l+2h

Where "l" is the lenght and "h" is the height.

 The area of a rectangle can be found with this formula:

A=lh

Where "l" is the lenght and "h" is the height.

In this case we know that:

A=40\ cm^2

Therfore, we can susbsitute them into A=lh and solve for "h" in  order to find its value:

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(h-5)(h+8)=0\\\\h_1=5\\\\h_2=-8

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h=5\ cm

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l=5\ cm+3\ cm\\\\l=8\ cm

Substituting values into P=2l+2h, we get that the perimeter is:

P=2(8\ cm)+2(5\ cm)\\\\P=26\ cm

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