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Margaret [11]
2 years ago
9

Solve the equation. \dfrac34 =m+\dfrac14 4 3 ​ =m+ 4 1 ​ start fraction, 3, divided by, 4, end fraction, equals, m, plus, start

fraction, 1, divided by, 4, end fraction m=m=m, equals

Mathematics
1 answer:
RSB [31]2 years ago
3 0

Answer:

\boxed{\dfrac{1}{2} = m}

Step-by-step explanation:

Given equation:

\dfrac{3}{4} = m + \dfrac{1}{4}

<u>Step-1: Subtract 1/4 both sides</u>

\dfrac{3}{4} = m + \dfrac{1}{4}

\dfrac{3}{4} - \dfrac{1}{4} = m

\dfrac{2}{4}  = \boxed{\dfrac{1}{2} = m}

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Answer:

Hello fellow brainlian, I am pretty sure the answer is A)

Step-by-step explanation:

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If csc ( x ) = 4, for 90 ∘ &lt; x &lt; 180, then sin ( x 2 ) = ? cos ( x 2 ) = ? tan ( x 2 ) = ?
svetlana [45]

Answer:

I'm assuming where you wrote x2, you meant 2x.

Anyway, if csc (x) = 2, since csc(x) = 1/sin(x), we know that 1/sin x = 2, so sin (x) = 1/2. Since sin2x + cos2x = 1, cos2x = 1 - sin2x, so cos x = √1 - sin2x. In this case, cos x = √ 1 - (1/2)2 = √(3/4) = (√3)/2. Finally, since sin x = opp / hyp , cos = adj/ hyp: sin x / cos x = (opp/hyp)/(adj/hyp) = opp/adj = tan x. So this means that tan x = sin x / cos x = 1/2 / √ 3 / 2 = 1/√3 = √3 / 3

At this point, all that is necessary is to use the double angle formulas for sin, cos, and tan.

sin (2x) = 2 sin x cos x = 2 (1/2) (√3/2) = √3 / 2

cos (2x) = cos2x - sin2x = (√3/2)2 - (1/2)2 = 3/4 - 1/4 = 1/2

tan (2x) = 2 tan x / (1 - tan2x) = 2 (√3 / 3) / ( 1 - (√3/3)2) = 2/√3 / (1 - 1/3) = 2/√3 / (2/3) = 3/√3 = √3

To sum up, sin (2x) = √4 / 2, cos (2x) = 1/2, and tan(2x) = ✓3.

Step-by-step explanation:

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2 years ago
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Debora [2.8K]

\frac{17}{60} and \frac{1}{4} are the experimental probabilities from the table.

Solution:

Total number of times spun the spinner = 60

Number of times getting 1 = 12

Number of times getting 2 = 17

Number of times getting 3 = 15

Number of times getting 4 = 16

<u>Experimental probabilities from the table:</u>

Probability of getting 1 = \frac{12}{60}=\frac{1}{5}

Probability of getting 2 = \frac{17}{60}

Probability of getting 3 = \frac{15}{60}=\frac{1}{4}

Probability of getting 4 = \frac{16}{60}=\frac{4}{15}

<u>To determine which are the experimental probabilities from the table:</u>

Option A: 15

This is not obtained above. So, it is not the experimental probability.

Option B: \frac{17}{60}

This is obtained in the probability of getting 2.

So, it is the experimental probability.

Option C: \frac{1}{4}

This is obtained in the probability of getting 3.

So, it is the experimental probability.

Option D: \frac{7}{15}

This is not obtained above. So, it is not the experimental probability.

Option E: \frac{12}{43}

This is not obtained above. So, it is not the experimental probability.

Hence \frac{17}{60} and \frac{1}{4} are the experimental probabilities from the table.

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Step-by-step explanation:

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