Since h represents the height of the ball at any given time, t, let h = 25, such that the ball will be 25m high at t.
Now, we have 25 = 20t - 5t²
5t² - 20t + 25 = 0
t² - 4t + 5 = 0
Since the discriminant is less than zero, there are no solutions.
Hence, the ball will never be 25m high.
Answer:
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Step-by-step explanation:
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How many times does he have to drive 160 miles in order to cover 880 ?
880/160 = 5.5 times
He'll need 5 complete tanks of gas, and 1/2 of another one.
Ok so first we need to write a fraction.
75 percent/45 mins
then we convert that into a unit rate
1.67 percent/1 min
so, now that we have the unit rate, we know exactly how fast she is moving.
Now, we divide 25 by 1.67 because 25% is the distance between the completion of the gate and current state of the gate.
So we get 14.97, which we can safely round up to 15.
It will take her 15 mins more to finish the gate, and it has already taken 45, so 45+15=60
60 MINS TOTAL/ 1 HOUR
Answer:
Ratio of the lengths = 1 : 16 and 1 : 15.71
Ratio of the Area = 1 : 251.29
Step-by-step explanation:
Model = 1/2in and 1/6in.
Actual = 2/3ft and 2/9ft.
1 ft = 12 inches
2/3 ft = 8 inches
2/9 ft = 2.67 inches
Model = 0.5 inches and 0.17 inches
Actual = 8 inches and 2.67 inches
Ratio
0.5 : 8 and 0.17 : 2.67
= 0.5 / 8 and 0.17 / 2.67
= 1 / 16 and 1 / 15.71
= 1 : 16 and 1 : 15.71
Area of the tile in the model = length × width
= (0.5 × 0.17) inches
= 0.085 inches
Area of the actual tile = length × width
= (8 × 2.67) inches
= 21.36 inches
Ratio of the area
0.085 : 21.36
= 0.085 / 21.36
= 1 : 251.29
