Answer:
Bill = 72
Step-by-step explanation:
Since Bob scored 1/3 of the number of points that Bill would have scored if Bob scored 24 points......
24 divided 1/3
= 72
Basically when the object hits the ground, f(t) is equal zero. So all you need to do is to solve the quadratic equation:
-5t^2 + 20t + 60 = 0
D = b^2 - 4ac = 20^2 - 4 × (-5) × 60 = 400 + 1200 = 1600
t1 = (-b + sqrt(D)) / 2a = (-20 + 40) / (-10) = -2
t2 = (-b - sqrt(D)) / 2a = (-20 - 40) / (-10) = 6
Since time can't be negative, our solution is t2.
So the object will hit the ground in 6 seconds.
<u>Solution-</u>
Given that,
In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.
Then considering ΔPQT and ΔSTF,
1- ∠FTS ≅ ∠PTQ ( ∵ These two are vertical angles)
2- ∠TFS ≅ ∠TPQ ( ∵ These two are alternate interior angles)
3- ∠TSF ≅ ∠TQP ( ∵ These two are also alternate interior angles)
<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>
∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

As QS = TQ + TS = 10 (given)
If TS is x, then TQ will be 10-x. Then putting these values in the equation



∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm
To divide a whole number by a unit fraction, you can always multiply the whole number by the unit fraction's denominator to get the answer! Example: 5 divided by 1/7 is 5*7=35. This answer of 35 makes sense: there are seven 1/7's in a 1, so there are thirty-five 1/7's in a 5.