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stiv31 [10]
3 years ago
9

PLEASE HELPPPPPPP MEEEEEE

Mathematics
2 answers:
liq [111]3 years ago
5 0

tan (π/6) + sin (5π/3) . cos (- 3π/4)

= tan 30° + sin 300° . cos (- 135°)

= tan 30° + sin (360° - 60°) . cos 135°

= tan 30° + (- sin 60°) . cos (180° - 45°)

= tan 30° + (- sin 60°) . (- cos 45°)

= tan 30° + sin 60° . cos 45°

= (1/3)√3 + (1/2)√3 . (1/2)√2

= (1/3)√3 + (1/4)√6

= (4/12)√3 + (3/12)√6

= (4√3 + 3√6)/12

erik [133]3 years ago
3 0

Answer:

Option 2

Step-by-step explanation:

tan(pi/6) = 1/sqrt(3) = sqrt(3)/3

sin(5pi/3) = -sin(pi/3) = -sqrt(3)/2

cos(-3pi/4) = cos(pi/4) = -1/sqrt(2)

= -sqrt(2)/2

sqrt(3)/3 + -sqrt(3)/2 × -sqrt(2)/2

sqrt(3)/3 + sqrt(6)/4

Lcm: 12

[4sqrt(3) + 3sqrt(6)]/12

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PLEASE HELP MEEEEEEEEEEEEEEEEEEE
pickupchik [31]

This sequence be represented as a recursive equation by a1=8 and an=2a1

<u>Step-by-step explanation</u>:

  • 'Recursive' refers to the repetition of a specific process in a sequence.
  • The given sequence is {8,16,32,64}.
  • If the value is 2 times the previous value, then an=2a(n-1)

Let a1=8,

then a2 = 2a(2-1)

⇒ a2 = 2a1

⇒ a2 = 2(8)

⇒ a2 = 16

Similarly,

For a2=16,

⇒ a3 = 2(a2)

⇒ a3 = 2(16)

⇒ a3 = 32

For a3=32,

⇒ a4 = 2(a3)

⇒ a4 = 2(32)

⇒ a4 = 64

∴ The equation is recursive as a1=8 and an=2a1 to follow the sequence.

8 0
3 years ago
Question 1 of 3 NE A scale drawing of a fishing boat has a scale of 1 cmn to 2 meters. If the length of the fishing boat is 6 cm
bagirrra123 [75]

Answer:

12 meters

Step-by-step explanation:

Given

Scale= 1cm:2m

Required

Determine the measurement when the scale reads 6cm

Represent this scale with x;

Such that:

Scale = 6cm:x

Equate

Scale= 1cm:2m and Scale = 6cm:x

1cm:2m = 6cm:x

Express as fraction

\frac{1cm}{2m} = \frac{6cm}{x}

Cross Multiply

x * 1cm = 6cm * 2m

x * 1 = 6 * 2m

x = 6 * 2m

x = 12m

3 0
3 years ago
Please help!!
Marysya12 [62]

The LCD of 3 and 4 is 12. To make 4 into 12, we multiply it by three, so 3 would also have to be multiply by 3, turning 3/4 into 9/12.

The same thing applies to 1/3, only it needs to be multiplied by 4. So it would become 4/12

9/12 - 4/12 = 5/12

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800 the strategy I used was adding 32 over and over 25 times
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frutty [35]

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7 0
3 years ago
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