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Nitella [24]
3 years ago
6

Find the exact value of tan(pi/12) using the sum and difference formulas

Mathematics
2 answers:
kari74 [83]3 years ago
7 0
Π/12 is half of π/6, which is 30 degree
tan(α/2)=(1-cosα)/sinα)
plug in the values: tan(π/12)=(1-cosπ/6)/sin(π/6)=(1-√3/2)/(1/2)=2-√3
JulsSmile [24]3 years ago
4 0

Answer:

A

Step-by-step explanation:

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Three more than twice some number
olya-2409 [2.1K]

Answer:

2x + 3

Step-by-step explanation:

Let's call the number x

twice a number is 2 times the number, or in this case 2x

3 more than 2x is 2x + 3

If my answer is incorrect, pls correct me!

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7 0
3 years ago
PLEASE HELP NOBODY WILL HELP ME I WILL GIVE BRAINLIEST
d1i1m1o1n [39]

Answer:

See below

Step-by-step explanation:

Let the number of Payday be p and Baby Ruth be b

<u>Then sub of the candy bars:</u>

  • p + b = 220
  • Payday candy bars worth ⇒ $2p
  • Baby Ruth candy bars worth ⇒ $3b
  • Total ⇒ $600

1. <u>Required equations:</u>

  • p + b = 220
  • 2p + 3b = 600

2. <u>Solving by substitution:</u>

p = 220 - b, consider it in the second equation

  • 2(220 - b) + 3b = 600
  • 660 - 2b + 3b = 600
  • 660 + b = 600
  • b = 660 - 600
  • b = 60

60 Baby Ruth candy bars sold

4 0
3 years ago
Simplify the product using FOIL. (4x + 3)(2x + 5)
Dafna1 [17]
8x^2+20x+6x+15. Combine like terms. 8x^2+26x+15. When using foil just multiply the contents of one pair of brackets on another pair.
3 0
3 years ago
Read 2 more answers
For questions 1 – 6, find the area of the circle to the nearest hundredth.<br> Any help appriciated!
Ganezh [65]

Step-by-step explanation:

The area of a circle is given by :

A = πr²

r is the radius of the circle

(4) Diameter = 22 cm

Since, radius = diameter/2

r = 11 cm

Now, area of the circle,

A=\pi \times (11)^2\\\\A=380.13\ cm^2

(5) Diameter = 30 cm

Since, radius = diameter/2

r = 15 cm

Now, area of the circle,

A=\pi \times (15)^2\\\\A=706.85\ cm^2

(6) Diameter = 4cm

Since, radius = diameter/2

r = 2 cm

Now, area of the circle,

A=\pi \times (2)^2\\\\A=12.56\ cm^2

So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.

4 0
3 years ago
Aubrey played on the playground for 2 1/2 hours. How many minutes did she play?
marshall27 [118]
Aubrey plays for 150 minutes on the playground.
5 0
4 years ago
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