Find X, round your answer to the nearest tenth of a degree.

Mathematics

2 answers:

murzikaleks [220]3 years ago

6 0

Answer:

Step-by-step explanation:

$\text{Use sine}=\dfrac{opposite}{hypotenuse}\\\\\text{We have}\ opposite=7,\ hypotenuse=12.\\\\\text{Substitute:}\\\\\sin x=\dfrac{7}{12}\approx0.5833\\\\x\approx35.7^o\\\\/look\ at\ the\ table\ in\ the\ attachment/$

Svet_ta [14]3 years ago

3 0

Answer: X = 35.7° (approximately)

Step-by-step explanation: What we have here is a right angled triangle with two sides given. That means we can apply trigonometrical ratios to calculate any of the angles as well as the unknown side of the triangle.

The unknown angle, X shall be the reference angle in this particular question. The side that lies between the right angle and the reference angle is the adjacent, while the one facing the reference angle is the opposite. So we have the hypotenuse already, that is, the longest side, (or the side facing the right angle).

Since we have been given the opposite side (7 units) and the hypotenuse (12 units) we can conveniently apply the sine ratio, which is

Sin X = opposite/hypotenuse

Sin X = 7/12

Sin X = 0.5833

By checking with your table of values, or by using your calculator, we can now find the value of 0.5833

X = 35.65

Rounded off to the nearest tenth of a degree,

X = 35.7°

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12. Venu and Tanuj are running along a circular track. They take 48 seconds and 56 seconds to

brilliants [131]

Answer:

The meet at first time at starting point after 336 seconds,

Vanu have completed 7 laps while Tanuj has completed 6 laps.

Step-by-step explanation:

Given that Venu and Tanuj take 48 seconds and 56 seconds to

complete a lap respectively.

To meet them again at the startiong point, the time taken must be multiple of 56 and 48.

So, the minimum time required to meet them again at the startiong point is time taken for first time meet.

Time taken to first time meet is the smallest number which can be divided by 56 and 48, i.e the lowest common factor (LCM) of 56 and 48 which is 336 seconds or 5 minutes 36 seconds.

Number of laps by Venu

$=\frac{336}{48}=7$