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Harlamova29_29 [7]
3 years ago
10

1+5=12 2+10=24 3+15=36 5+25=

Mathematics
1 answer:
OlgaM077 [116]3 years ago
7 0
5+25=48 becase you add 12 each time
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Given that tan θ ≈ −0.087, where 3 2 π < θ < 2 , π find the values of sin θ and cos θ.
elena-s [515]

Answer:

  • sin θ ≈ -0.08667
  • cos θ ≈ 0.99624

Step-by-step explanation:

Straightforward use of the inverse tangent function of a calculator will tell you θ ≈ -0.08678 radians. This is an angle in the 4th quadrant, where your restriction on θ places it. (To comply with the restriction, you would need to consider the angle value to be 2π-0.08678 radians. The trig values for this angle are the same as the trig values for -0.08678 radians.)

Likewise, straightforward use of the calculator to find the other function values gives ...

  sin(-0.08678 radians) ≈ -0.08667

  cos(-0.08678 radians) ≈ 0.99624

_____

<em>Note on inverse tangent</em>

Depending on the mode setting of your calculator, the arctan or tan⁻¹ function may give you a value in degrees, not radians. That doesn't matter for this problem. sin(arctan(-0.087)) is the same whether the angle is degrees or radians, as long as you don't change the mode in the middle of the computation.

We have shown radians in the above answer because the restriction on the angle is written in terms of radians.

_____

<em>Alternate solution</em>

The relationship between tan and sin and cos in the 4th quadrant is ...

  \cos{\theta}=\dfrac{1}{\sqrt{1+\tan^2{\theta}}}\\\\\sin{\theta}=\dfrac{\tan{\theta}}{\sqrt{1+\tan^2{\theta}}}

That is, the cosine is positive, and the sign of the sine matches that of the tangent.

This more complicated computation gives the same result as above.

4 0
3 years ago
What is the image point of (-4,2) after a translation left 5 units and down 3<br> units?
damaskus [11]

Answer: (-9,-1)

Step-by-step explanation:

8 0
3 years ago
20% of a number is xx. What is 100% of the number? .
ludmilkaskok [199]
So you said 20% is xx???
If 20% is xx or x^2 (x squared) then 100% must be 5x^2, since 20% times 5 would get you 100%.
5 0
3 years ago
The Kamp family has twins, Rob and Rachel. Both Rob and Rachel graduated from college 2 years ago, and each is now earning $50,0
dybincka [34]

Answer:

z-value of rachel = 1.875

z-value of rob = -2

z-value of Rachel is more than that of rob. Thus rob is earning below average and rachel is earning above average.

Step-by-step explanation:

Let's denote the salary of Rob and Rachel per year by X. So, X = $50,000

We are told that;

For Rachel's industry;

Mean salary;μ1 = $35,000

Standard deviation;σ1 = $8,000

For Rob's industry;

Mean salary;μ2 = $60,000

Standard deviation;σ2 = $5,000

Formula for z - value is;

z = (X - μ)/σ

Thus;

z-value for rob is;

z2 = (X - μ2)/σ2

z2 = (50000 - 60000)/5000

z2 = -2

z-value for rachel is;

z1 = (X - μ1)/σ1

z1 = (50000 - 35000)/8000

z1 = 1.875

z-value of Rachel is more than that of rob. Thus rob is earning below average and rachel is earning above average.

5 0
2 years ago
The following quadrilateral is a parallelogram.
Natali5045456 [20]

Answer:

70

Step-by-step explanation:

Angle Q and angle P are supplementary angles, so they add up to 180 degrees.

6x + 4 + 10x = 180

16x + 4 = 180

16x = 176

x = 176/16

x = 11

Put x in angle Q as 11 and solve.

6(11) + 4

66 + 4

= 70

Angle Q measures 70 degrees.

7 0
3 years ago
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