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Anestetic [448]
2 years ago
15

Tan 9x - tan 5x/ 1+ tan 9x tan 5x

Mathematics
1 answer:
NeTakaya2 years ago
8 0

Answer:

tan 4x

Step-by-step explanation:

Note the difference identity for tangent ratio is

tan(x - y) = \frac{tanx-tany}{1+tanxtany}

Given

\frac{tan9x-tan5x}{1+tan9xtan5x} ← in the form of the right side of the expansion, thus

= tan(9x - 5x)

= tan 4x

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If the area of an equilateral triangle is 9root3 cm square find its side​
kobusy [5.1K]

Answer:

6 cms.

Step-by-step explanation:

If the side of an equilateral triangle is 2x cm then its height is  √3x and its base is 2x.

Area = 1/2 * base * height

9√3 = 1/2 * 2x * √3x    

9√3 = x * √3x

9 = x^2

x = 3

So length of each side = 2*3 = 6.

x = 9

7 0
2 years ago
Part 4. NO LINKS!! Find the area of the shaded area shown. SHOW WORK PLEASE !! #21​
SIZIF [17.4K]

Area of square

  • 32²
  • 1024

Radius of each circle

  • 32/4/2
  • 8/2
  • 4

Area of 16 circles

  • 16πr²
  • 16π(4)²
  • 16π(16)
  • 256π
  • 803.8cm²

Area of shaded region

  • 1024-803.8
  • 220.2cm²
5 0
2 years ago
Read 2 more answers
4x+2=5x-6. I need this solved with all work shown. thank you.​
PtichkaEL [24]

Answer:

Step-by-step explanation:

4x+2=5x-6

4x-5x=-6-2

-x=-8

therefore, x=8

6 0
3 years ago
Read 2 more answers
What is 1/4 divided by 9/10 rewritten with an important fraction?
lutik1710 [3]

Step-by-step explanation:

{:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}

{:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}

{:}\hookrightarrow\sf \dfrac {10}{36}

{:}\hookrightarrow\sf \dfrac {5}{18}

8 0
2 years ago
3. A large fruit dish with a 36 in. diameter is placed in the center of a banquet across and is completely filled with apples. T
Serga [27]

Answer:

a) 11%

b) 56%

Step-by-step explanation:

a) A= πr^2    6^2π= 36π    A= 18^2π = 324π

36π/324π = .111111111111111111111111 or 11%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

b)   A= πr^2         18^2 π = 324π

     A= πr^2          12^2π = 144π  

              324 – 144  = 180

180π/324π = .5555555555555555555555556 or 56%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

3 0
3 years ago
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