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labwork [276]
3 years ago
7

Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2

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

Answer:

اhello : tan θ = - 12/5

Step-by-step explanation:

tan θ = sin θ / cos θ .... (*)

(cosθ)² + (sinθ)² = 1   ... (**)

theta is in quadrant 2 : cosθ ≤ 0

Substitute sinθ = 12/13  into (**) and solve for cosθ :

(cosθ)² + (12/13)² = 1  

(cosθ)²  = 1   - 144/169

(cosθ)²  = 25/169

cosθ = - 5 /13  because  cosθ ≤ 0

by (*) : tan θ = (12/13)/ (-5/13) = (12/13) ×(-13/5)

tan θ = - 12/5

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Determine if 2x = 14 + y and 4x + 2y = 10 are parallel, perpendicular, or neither.
kozerog [31]

Answer:

Neither

Step-by-step explanation:

To tell if lines are perpendicular or parallel just from the equations, you need to look at the slopes. So get the equations into slop-intercept form

(y = slope * x + y-intercept)

2x = 14 + y

-14          -14

2x - 14 = y    OR     y = 2x - 14

*So the slope of the first equation is 2*

4x + 2y = 10

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y = -4/2 + 10

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For the lines to be parallel, the slopes have to be the same. For them to be perpendicular, the slopes have to be opposite (negative is the opposite of positive and vice versa) and reciprocal (A flipped fraction, so the reciprocal of 2 would be 1/2)

6 0
3 years ago
HELPPPPP ITS DUE TODAY
siniylev [52]

Answer:

1) just make an equation (answer below)

SO the new bottle is 30 ounces

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So we can just find 25 percent of 30

And add it

That is the most simple way but I would just do

30*1.25 Its the same thing but if you think a bout ti, the new bottle can Only hold 30 ounces, 30 ounces is 100 percent of the new bottle, if you multiply 1.25 its adding 25 percent so it Turns a 2 step into a 1 step.

1.25*30=37.5

The larger bottle was 37.5 ounces

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3 years ago
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8 0
3 years ago
What is the volume of the regular pyramid below?
Nonamiya [84]
The picture in the attached figure

we know that
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the answer is
3408 units³

8 0
4 years ago
Read 2 more answers
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