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romanna [79]
3 years ago
9

Y=+/ (square root sigh) 346

Mathematics
1 answer:
AnnyKZ [126]3 years ago
6 0
= 18.60108 that’s the answer
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Urgent!
boyakko [2]

Step-by-step explanation:

18.

the last one.

-4.9t² + 24.5t + 117.6 = 0

the ball starts at 117.6 meters height. then, during the first seconds the thrust upwards is adding height, until finally, with more and more seconds passing, gravity will win with a vengeance and pulls the ball down faster and faster than any other force in any other direction.

19.

the general solution for a quadratic equation

y = ax² + bx + c

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = t

a = -4.9

b = 24.5

c = 117.6

t = (-24.5 ± sqrt(600.25 - -4×4.9×117.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 2304.96))/-9.8 =

= (-24.5 ± sqrt(2905.21))/-9.8 = (-24.5 ± 53.9)/-9.8

t1 = (-24.5 + 53.9)/-9.8 = -3

t2 = (-24.5 - 53.9)/-9.8 = 8

a negative time does not make any sense, so the real solution is : the ball reached the ground after 8 seconds.

20.

now the equation is

-4.9t² + 24.5t + 117.6 = 49

but this is quickly transformed again into a "= 0" equation :

-4.9t² + 24.5t + 68.6 = 0

t = (-24.5 ± sqrt(600.25 - -4×4.9×68.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 1344.56))/-9.8 =

= (-24.5 ± sqrt(1944.81))/-9.8 = (-24.5 ± 44.1)/-9.8

t1 = (-24.5 + 44.1)/-9.8 = -2

t2 = (-24.5 - 44.1)/-9.8 = 7

again, negative time does not make sense.

the ball will be at 49 m height after 7 seconds.

5 0
2 years ago
Please decrease 90 by 20%
Mashcka [7]

Answer:

Step-by-step explanation:

90 by 20%

10%=9

20%=18

90-18=62

Hope u understand

4 0
2 years ago
Find the area of the trapezoid.
goldenfox [79]

Answer:

<h3>105m²</h3>

Step-by-step explanation:

AREA=

\frac{(a + b)}{2}  \times h

\frac{15 + 6}{2}  \times 10

=105m²

6 0
3 years ago
3. Find the volume of a
weeeeeb [17]

Answer: 401.88

Step-by-step explanation: math

4 0
3 years ago
Jada’s robot walked out 1 foot and then half of that length again
aalyn [17]
The total length is 1.5
5 0
3 years ago
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