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Vinil7 [7]
2 years ago
8

What is the exact value of tan(-π/3)?A. -√3B. -√3/3C.√3/3D. √3​

Mathematics
1 answer:
Dimas [21]2 years ago
5 0

\tan \left(-\dfrac{\pi}3\right)\\\\=-\tan \left(\dfrac{\pi}3\right)\\\\=-\sqrt 3

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B.) Marua will spend 2 hours to read 100 pages of sociology which means she can only read 60 pages of economics.
Therefore, the opportunity cost of reading 100 pages of sociology is forfeiting 40 pages (2 hours) of economics.
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At a real estate agency, an agent sold a house for $329,000. The commission rate is 4.5% for the real estate agency and the comm
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Answer: 부동산 수수료 계산기 에 의해 작동 계산 하는 간단한 방정식을 : 합의 된 지급 비율 속성의 / 100 × 가격을. 예를 들어 주택 소유자가 주택을 $ 200,000에 판매하고 수수료율 이 5 % 인 경우 방정식 은 (5/100) x 200,000 = $ 10,000 수수료가 됩니다.2020 년

Step-by-step explanation:

5 0
3 years ago
As you can see I keep getting questions wrong.... Can you answer the last question?
aivan3 [116]

Answer:

  y = 0

Step-by-step explanation:

It is always a good idea to look at the question and make some observations about it. Here, you might observe ...

  • all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
  • y is a factor of every exponent

The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.

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To solve the equation, you can write it in terms of powers of 3.

  (3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)

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  3^(-5y) = 3^(-19y)

  -5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3

  14y = 0 . . . . . . . . . . add 19y

  y = 0 . . . . . . . . . . . one solution

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The rules of exponents we used are ...

  (a^b)(a^c) = a^(b+c)

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4 0
3 years ago
Describe how to transform the graph of f(x) = x² to obtain
lord [1]

Answer:

The functions given are:

f(x) = x²

g(x) = f(-4x-3) + 1

First, find f(-4x-3):

f(x) = x²

f(-4x-3) = (-4x-3)²

Find g(x):

g(x) = f(-4x-3) + 1

g(x) = (-4x-3)² + 1

g(x) = (-1)² (4x+3)² + 1

g(x) = (4x+3)² + 1

First take

y = (x)²

Compress the graph along x axis by multiplying x with 4

y = (4x)²

Shift the graph left by 0.75 units, by adding 3 to x term.

y = (4x+3)²

Shift the graph up by 1 unit by adding 1 to the total terms.

y = (4x+3)² +1

4 0
3 years ago
3. Find the values of the variables and the lengths of the sides of this kite.
Kazeer [188]

Answer:

So, the correct option is A. x = 9, y = 14 , Sides are 11 and 20

Step-by-step explanation:

P.S - the exact question is -

As given in the question ,

Side AB = Side AD

⇒y - 3 = x + 2

⇒y - x = 2 + 3 = 5

⇒y - x = 5                        .........(1)

Also, given

Side BC = Side CD

⇒2x + 2 = x + 11

⇒2x - x = 11 - 2

⇒x = 9

∴ equation (1) becomes

y - 9 = 5

⇒y = 5 + 9 = 14

⇒y = 14

∴ we get

x = 9, y = 14

Now,

as given ,

Side AB = y - 3

⇒ AB = 14 - 3 = 11

Side BC = 2x + 2

⇒ BC = 2(9) + 2 = 18 + 2 = 20

Side CD = x + 11

⇒ CD = 9 + 11 = 20

Side DA = x + 2

⇒DA = 9 + 2 = 11

∴ we get

The sides are 11 and 20

So,

The correct option is A. x = 9, y = 14 , Sides are 11 and 20

8 0
2 years ago
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