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zhuklara [117]
2 years ago
14

Find the measure of the reference angle for an 11 radian radian angle.

Mathematics
1 answer:
Vesnalui [34]2 years ago
4 0

Answer:

  about 1.56637 radians ≈ 89.746°

Step-by-step explanation:

The reference angle in radians can be found by the formula ...

  ref angle = min(mod(θ, π), π -mod(θ, π))

Equivalently, it is ...

  ref angle = min(ceiling(θ/π) -θ/π, θ/π -floor(θ/π))×π

<h3>Application</h3>

When we divide 11 radians by π, the result is about 3.501409. The fractional part of this quotient is more than 1/2, so the reference angle will be ...

  ref angle = (1 -0.501409)π radians ≈ 1.56637 radians ≈ 89.746°

__

<em>Additional comment</em>

For calculations such as this, you need to use the most accurate value of pi available. The approximations 22/7 or 3.14 are not sufficiently accurate to give good results.

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Match each power of a power expression with its simplified expression.
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Answer:

> (4^6)^{-3} = \frac{1}{4 ^ {18}}

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> (4^0)^{-9} = 4 ^0

> (-4^{-9})^2 = (-4) ^ {-18}

Step-by-step explanation:

We have to expand the powers of each of them:

> (4^6)^{-3} = 4^{(6 * -3)}

          = 4 ^ {-18}

(4^6)^{-3} = \frac{1}{4 ^ {18}}

> (4^{-3})^{-3} = 4 ^ {(-3 * -3)}

  (4^{-3})^{-3} = 4 ^ 9

> (4^0)^{-9} = 4 ^ {(0 * -9)}

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> (-4^{-9})^2 = -4 ^ {( -9 * 2)}

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3 years ago
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3 years ago
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A triangle has sides xcm, (x + 4) cm and 11cm, where x is a whole number of cm. if the perimeter of the triangle is less than 32
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Answer:

  {4, 5, 6, 7, 8}

Step-by-step explanation:

The inequality related to the perimeter is ...

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  x < 8.5

The inequality related to the triangle inequality is ...

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Answers for different section are given below;

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, given function;

   f(x) = -x² - 4x + 6

1.    If we take -1 common from the given function, we get

                      f(x) = -1 (x² + 4x - 6)

                      f(x) = -1 (x² + 4x) + 6

      Thus, first block contains -1 and second block contains 4.

     

2.   Then we add half of the coefficient of x², (b/2)², inside the bracket and subtract it outside a times, a(b/2)².

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3. Then we factorize the bracket and simplify outside the bracket;

                 f(x) = -1 (x + 2)² + 10

Thus, first block contains -1, second block contains 2 and third block contains 10.

Learn more about Function from:

brainly.com/question/12431044

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