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matrenka [14]
3 years ago
10

Sam kicks a soccer ball from the ground. The height of

Mathematics
1 answer:
Alexeev081 [22]3 years ago
8 0

Answer:

The ball will take 2.6 seconds to hit the ground again.

Step-by-step explanation:

Sam kicks a soccer ball from the ground. The height of  the ball (in feet) can be modeled with the function,  h(t) = −16t(t − 2.6), where t is the time in seconds  after the ball is kicked.

So, the ball will be at ground when h = 0 = - 16t(t - 2.6)

⇒ t = 0 or t = 2.6.

Therefore, the ball will take 2.6 seconds to hit the ground again. (Answer)

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Answer: The number of supervisors are 9 times the number of unicorns.

Step-by-step explanation:

Let the number of supervisors be 'n'.

Let the number of unicorns be 'u'.

According to question, a unicorn daycare center requires there to be 2 supervisors for every 18 unicorns.

So, Mathematically, it is expressed as

\dfrac{n}{u}=\dfrac{2}{18}\\\\\dfrac{n}{u}=\dfrac{1}{9}\\\\9n=u

so, we established the relationship between the number of supervisors and number of unicorns.

Hence, the number of unicorns are 9 times the number of supervisors.

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3 years ago
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Given that sinθ=-3/4 in quadrant 4 find cosθ
Gekata [30.6K]

Step-by-step explanation:

sin∅=-3/4 in 4 quadrant which sine is negative there

using soh cah toa

sin=opp/hyp

where our opp=-3 and our hyp=4

using pythagoras theorem

hyp²=opp²+adj²

(4)²=(-3)²+adj²

16=9+adj²

16-9=adj²

adj²=7

adj=√7

from soh cah toa

cos∅=adj/hyp

cos∅=√7/4

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