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aleksley [76]
3 years ago
9

Can someone explain to me how they got 1/2?​

Mathematics
1 answer:
Otrada [13]3 years ago
6 0

  1. Sorry trying to figure out this equation
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if theta is in the first quadrant sin left parenthesis t h e t a right parenthesis equals 0.17 then what is tan left parenthesis
Kazeer [188]

The value of tan\theta in the first quadrant is approximately 0.173.

There are 4 quadrants inside the cartesian aircraft. All trigonometric ratios of sin, cos, tan are high quality inside the first quadrant.in the 2nd quadrant simplest sin is advantageous rest are negative.  within the 1/3 quadrant simplest tan is wonderful inside the fourth quadrant best cos is fantastic.

Given sin \theta=0.17 and \theta is in the first quadrant.

We know from trigonometrical identities that

sin^2\theta+cos^2\theta=1

Substituting the value of  sin \theta in the above equation we get:

or, (0.17)^2+cos^2\theta=1\\or,cos^2\theta=1-0.0289\\or.cos\theta=\pm\sqrt{0.9711}\\or,cos\theta=\pm 0.98544...

As \theta lies in the first quadrant then the value of cos\theta is positive.

∴cos\theta\approx0.98544

From the properties of trigonometry we know that :

tan\theta=\frac{sin\theta}{cos\theta}

or,tan\theta=\frac{0.17}{0.98544} \\or,tan\theta=0.17251\\or,tan\theta\approx0.173

The value of tan\theta is approximately 0.173 to the nearest thousandth . The value is positive as the angle lies in the first quadrant.

To learn more about quadrant and trigonometric ratios:

brainly.com/question/7196312

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7 0
2 years ago
Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. T
Sophie [7]
Where is the box plot?
4 0
3 years ago
Copy and complete each table.
LUCKY_DIMON [66]

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

T_{2}-T_{1} = -3 - 2

           = -5

Similarly, T_{3}-T_{2}=-8-(-3)

                            = -5

There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, T_{n} = a + (n - 1)d  [n = input value]

T_{n} = 2 + (n - 1)(-5)

    = 2 - 5n + 5

    = -5n + 7

5th term of this sequence,

T_{5}=2+(5-1)(-5)

    = 2 - 20

    = -18

Therefore, 5th term of sequence = -18

                  nth term of the sequence = -5n + 7

3 0
3 years ago
If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at which the diameter decreases whe
vivado [14]
Surface area: S
radius: r
diameter: e
time: t

[dS/dt] = [dS/de]*[de/dt] => de/dt = [dS/dt] / [dS/de]

S = 4pi*r^2 = 4p*i(e/2)^2 = pi*e^2 => dS/de =2pi*e

dS/dt = 7cm^2 / min

de / dt = [2pi*e] / [7cm^2/min] =[7cm^2/min] /  [2pi*10cm]  = 0.11 cm/min 




3 0
3 years ago
Read 2 more answers
Please help! (One question)
Vladimir79 [104]

Answer:

An equilateral triangle is never similar to a scalene triangle, because you can never map one onto the other using only dilations  and using rigid transformations

Step-by-step explanation:

3 0
3 years ago
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