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NeX [460]
3 years ago
15

12^3 tanx-4^3tan2xsolve next step fast guys​

Mathematics
1 answer:
shepuryov [24]3 years ago
4 0

Step-by-step explanation:

3 tan 2x - 4 tan 3x = tan² 3x * tan 2x

3 (tan 2x - tan 3x) = tan 3x + tan² 3x * tan 2x

= tan 3x (1 + tan 3x * tan 2x)

3 (tan 2x - tan 3x)/(1 + tan 3x * tan 2x) = tan 3x

3 * (- tan x) = tan 3x

-3tanx = (3 tan x - tan³ x) / (1 - 3 tan² x)

3 - tan² x = - 3 + 9 tan² x

tan x = + √3 /√5 or - √3/√5

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If the measure of the angle in the southwest corner of the intersection of Broadway and 21st Street is approximately 105ºwhat is
Karolina [17]

Answer:

95°

Step-by-step explanation:

The angle on the 20TH street and 22ND street must add up to 180° so the answer is 95°

5 0
3 years ago
PLEASE HELP!!! :))
Nina [5.8K]

For a better understanding of the solution given here please find the attached file which has the relevant diagram.

To answer this question we will have to make use of <u>the Isosceles Triangle Theorem</u> which states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. Thus, as a corollary we know that is EF is the angle bisector of the vertex angle ∠E, then, EF is the perpendicular bisector of the of the base DK.

Please follow the diagram of a complete understanding of the logic and the solution.

As EF is the angle bisector as given in the question, thus we will have:

m\angle DEK=2\times m\angle DE F=2\times 43^{\circ}=86^{\circ}.

Also, from the Theorem we know that KF will be half of DK and thus, KF will be:KF=\frac{1}{2}DK= \frac{1}{2}\times 16=8 centimeters.

Likewise, from the same theorem we have: m\angle EFD=90^{\circ}

4 0
3 years ago
What is ausrdi unscrambled
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Ausrdi scrambled is radius
5 0
3 years ago
Kyle brough a case of 24 12 ounce bottles of water.He drank the same amount of water each day and finished the case after 3 days
Anastaziya [24]

Answer:

96 ounces each day

Step-by-step explanation:

Divide the 24 bottles by 3

24/3 = 8

8bottles per day

8 bottles *12 ounces per bottle

96 ounces each day

3 0
3 years ago
How do I simplify this?
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You can multiply each top and bottom by sqrt 15
then it will be 
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