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Fynjy0 [20]
3 years ago
11

Find the value of x and y

Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0

A straight line is 180°.

65°, 31°, and 2y° make/add up to the 180°. So you can do:


65 + 31 + 2y = 180

96 + 2y = 180     Subtract 96 on both sides

2y = 84        Divide 2 on both sides

y = 42


A triangle is also 180°.

(4x - 1), 90°, and 31° make/add up to the 180°, so you can do:


(4x - 1) + 90 + 31 = 180

4x - 1 + 90 + 31 = 180

4x + 120 = 180      Subtract 120 on both sides

4x = 60          Divide 4 on both sides

x = 15

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the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer
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Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = vi t + \frac{1}{2} at^{2}

d = distance      vi = initial velocity (m/s)    

t = time (s)     a = acceleration (m/s^{2})

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/s^{2} since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + \frac{1}{2} (9.81m/s^{2})(t)

220.98m = (4.905m/s^{2})(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

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