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White raven [17]
3 years ago
10

Find last​ year's salary​ if, after a 5% pay​ raise, this​ year's salary is 35,175

Mathematics
1 answer:
erastovalidia [21]3 years ago
3 0

Answer:

Step-by-step explanation:

x + 0.05x = 36225

x(1 + 0.05) = 36225

x*1.05 = 36225

by solving we find:

x = $34,500

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Suppose that Sin(θ)=5/13 and cos(θ)=-12/13. Find the value of tan(θ), cot (θ), CSC (θ), and sec (θ). Find the value of tan(2θ)
horrorfan [7]

Answer:

Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.

The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.

The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).

Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).  

Simplified, this becomes tan 2θ = -336/527.  

Therefore, the answer is C. -336/527.

5 0
3 years ago
the perimeter of a square is 20 ft if you increase the length of the square by 2 feet and decrease the width by 1ft what is the
IrinaVladis [17]

Answer:

28 ft squared

Step-by-step explanation:

The 4 sides of a square are equal in length, so if the perimeter is 20ft that means each side would have to be 5ft, (20/4 = 5). If you increase the length by 2ft, one of the sides would now become 7ft (5+2 = 7). If you decrease the length of the other side by 1ft, the length would now be 4ft (5-1=4). Now to find the area, all you have to do is length * width. So you would do 7ft*4ft which is 28ft squared.

4 0
3 years ago
Simplify 4/(√5+ √2) - 3/(√5- √2)​
MakcuM [25]

Step-by-step explanation:

\frac{4}{ \sqrt{5} +   \sqrt{2}}  -  \frac{3}{ \sqrt{5} -  \sqrt{2}  }  =  \\  =  \frac{4( \sqrt{5}  -  \sqrt{2} ) - 3( \sqrt{5} +  \sqrt{2} ) }{( \sqrt{5}  +  \sqrt{2}  )\times ( \sqrt{5}  -  \sqrt{2} )}  =  \\  =  \frac{4 \sqrt{5} - 4 \sqrt{2}  - 3 \sqrt{5} - 3 \sqrt{2}   }{5 -  \sqrt{10}  +  \sqrt{10} - 2 }  =  \\  =  \frac{ \sqrt{5}  - 7 \sqrt{2} }{3}

8 0
2 years ago
Can someone do #4 and #5
Hitman42 [59]

Answer:

First, find two points on the graph:

  • (x₁, y₁) = (0, 2)
  • (x₂, y₂) = (2, 8)

Slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}} = \frac{8-2}{2-0} =\frac{6}{2}=3

16 + (-3) = 16 - 3 = 13

8 0
3 years ago
In the equation 5x = 60, what is the next step in the equation solving sequence?
muminat

Answer:

C

Step-by-step explanation:

You have to divide both sides by the coefficient of x

7 0
3 years ago
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