Can someone help me with this????

Mathematics

1 answer:

Irina-Kira [14]4 years ago

3 0

Angle 5= 46
Angle 7= 46 They are opposite, therefore, they measure the same.

If angle 2 is 134 degrees, so is angle 4.
They are parallel to each other, so angle 2 equals to angle 6, angle 4 equals to angle 8.
The sum of the four angles (5, 6, 7, & 8) is 360. The sum of the angle 2 (6) and angle 4 (8) is 268 (134x2).
360-268=92
92/2=46 Angles 5 and 7 are equal to each other, and their sum is 92, then you just need to divide 92 by two

I do not know about the signs next to 5 and 7, though. I hope this helped you

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A rock falls off a balcony. It's height (in feet) is given by the formula f(x)=-16t^2+13.4t+120, where t is measured in seconds.

pantera1 [17]

Answer:

3.189 seconds

Step-by-step explanation:

You want f(t) = 0, so ...

0 = -16t^2 +13.4t +120

0 = t^2 -0.8375t -7.5 . . . . divide by -16

0 = (t^2 -0.8375t +0.41875^2) -7.5 -0.41875^2 . . . . complete the square*

0 = (t -0.41875)^2 -7.6753515625 . . . . write as a square

√7.6753515625 = t -0.41875 . . . . . . . . add 7.67... and take positive root

t = 0.41875 +√7.6753515625 ≈ 3.189192 . . . . add 0.41875

It will take the rock about 3.189 seconds to hit the ground.

_____

* We complete the square by adding the square of half the coefficient of the linear term (= (-0.8375/2)^2) inside parentheses and subtracting the same amount outside parentheses. This gives a form inside parentheses that is ...

(t^2 -2at +a^2) = (t -a)^2

Completing the square is complicated a little bit by a leading coefficient that is not 1. That is why we divided by -16 first.

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<em>Comment on the question</em>

We note that the rock "falls" from the 120 foot high balcony by first traveling upward at a rate of 13.4 feet per second. We also note that the height function is written f(x), but uses t as the variable. That is, it should be f(t) = ...