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3 years ago

Verify the identity. tan^5x = tan^3xsec^2x -tan^3x

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

5 0

Tan^5x=tan^3x∗tan^2x
sin^2x+cos^2x=1
tan^2x+1=sec^2x
tan^2x=sec^2x−1

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Two bowls of pasta at a restaurant serve 3 people. How many bowls of pasta should be ordered for 12 people?

Butoxors [25]

12 people divided by 3 people = 4

so if 2 bowls serve 3 people...2 bowls x 4 = serve 12 people

therefore, 8 bowls serve 12 people

6 0

3 years ago

Read 2 more answers

Solve the System using elimination. 5x-2y=15 7x+7y=-28

steposvetlana [31]

Answer:

x=1 y=-5

Step-by-step explanation:

7(5x-2y=15) ---> 35x-14y=105

2(7x+7y=-28) --> + 14x+14y=-56

49x=49 --->x=1

5(1)-2y=15 ---> 5-2y=15 ---> -2y=10 ---> y=-5

8 0

3 years ago

Need help with these two question!!??

lawyer [7]

The measure of x in both parts is: 120°

Step-by-step explanation:

Part A:

We can clearly see that the figure in part a has six equal sides. So the given figure is a hexagon.

A hexagon has six equal sides in six equal interior angles.

Sum of interior angles of hexagon is 720°

So,

$Measure\ of\ one\ agnle=\frac{Sum\ of\ interior\ angles}{number\ of\ angles}\\=\frac{720}{6}\\=120$

Part B:

The figure is a Dodecagon with 12 sides.

The Dodecagon has 12 equal sides and angles.

The sum of internal angles of Dodecagon is 1440°

So,

$Measure\ of\ one\ angle=\frac{Sum\ of\ angles}{Number\ of\ angles}\\=\frac{1440}{12}\\=120$

The measure of x in both parts is: 120°

Keywords: Polygons, Hexagon

Learn more about polygons at:

#LearnwithBrainly

6 0

3 years ago

If u took a test that had 150 questions on it but didn’t finish 27 of the questions, what percentage of the questions did u answ

Alenkinab [10]

Answer:

82%

Step-by-step explanation:

Total number of questions = 150

Questions not answered = 27

questions answered = 150 - 27 = 123

percent questions answered

= (questions answered / total questions ) x 100%

= (123/150) x 100%

= 82%

6 0

3 years ago

A cylinder with the height of 6km has a volume of 384km3 what is the radius?

azamat

Answer:

r = 8

Step-by-step explanation:

V = π r^2 h so 383 = r^2 (6)

383 / 6 = r^2

64 = r^2 so

r = 8

4 0

2 years ago