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butalik [34]
3 years ago
15

Solve for X. 3/4x+7/8=4 1/4 Enter your answer as a mixed number in simplest form in the box.

Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Step-by-step explanation:

\frac{3}{4} x +  \frac{7}{8}  = 4 \frac{1}{4}

\frac{3}{4} x =  \frac{17}{4}  -  \frac{7}{8}

\frac{3}{4} x =  \frac{34}{8}  -  \frac{7}{8}

\frac{3}{4} x =  \frac{27}{8}

3x \times 8 = 27 \times 4

24x = 108

x =  \frac{108}{24}

x =  \frac{9}{2}

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If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )
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Answers: sin(2∅) = 120/169,  cos(2∅) = 119/169, tan(2∅) = 120/119

<h3>What are trigonometric functions?</h3>

Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.

Analysis:

If cos∅ = adjacent/hypotenuse =  12/13,

Then, opposite of the right angled triangle = \sqrt{13^{2} - 12^{2}  } = 5

sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12

sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169

cos(2∅) = cos^{2}∅ - sin^{2}∅ = (\frac{12}{13}) ^{2} - (\frac{5}{13} )^{2} = 144/169 - 25/169 = 119/169

tan(2∅) = sin(2∅) / cos(2∅)  = 120/169 ÷ 119/169 = 120/119

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. An urn contains 6 blue and 5 red marbles. Reach in and grab one marble and then another (without replacing the first one). Wha
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Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.

Probability of Blue first = 5/11

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