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3 years ago

11

Which pair are equal trig values? A) tan 45° and sin 45° Eliminate B) sin 40° and sin 50° C) sin 36° and cos 54° D) cos 65° and

sin 65°

1 answer:

ira [324]3 years ago

3 0

Answer:

C

Step-by-step explanation:

note that sin x = cos(90 - x ) ← Cofunction identity

If x = 36 then 90 - x = 90 - 36 = 54

Hence sin 36° = cos 54° → C

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A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8

aleksklad [387]

Answer:

9/64

Step-by-step explanation:

The probability that the marble on the first draw is blue is 3/8.

The probability that the marble on the second draw is blue is also 3/8.

So the probability that both are blue is:

3/8 × 3/8 = 9/64 ≈ 14%

4 0

3 years ago

Question 2 (multiple choice)

castortr0y [4]

Your x-intercept is at (-2,0) and your y intercept at (0,-3), so it's D

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3 years ago

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

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2 years ago

Please simplify n-2/n^2-4

Doss [256]

Answer:

$\frac{1}{ {n} + {2}}$

Step-by-step explanation:

$\frac{n - 2}{ {n}^{2} - 4} \\ \\ = \frac{n - 2}{ {n}^{2} - {2}^{2} } \\ \\ = \frac{n - 2}{ ({n} + {2})({n} - {2})} \\ \\ = \frac{1}{ {n} + {2}} \\$

8 0

3 years ago

The perimeter of a rectangle is 84 cm. If the length is 25 cm, how wide is the rectangle?

MrMuchimi

Answer: 17 cm

Step-by-step explanation:

84 - 25(2) = 2x

84 - 50 = 2x

34 = 2x

x = 17

17 cm

4 0

3 years ago