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lesya692 [45]
3 years ago
12

Paige has 4 more balloons than Zoee. Emma  has 2 more balloons than Paige. Altogether they have 100 balloons. How many does each

person have>
Mathematics
1 answer:
aksik [14]3 years ago
6 0
52 and 48 if you take away 2 from 50 then,add it to the other 50 52+48
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A triangle with sides of lengths 16, 30, and 35 is a right triangle. O A. True O B. False ​
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B false

Step-by-step explanation:

The Theorem states that for a right triangle,

a^2 + b^2 = c^2

where c is the hypotenuse and a and b are the two shorter sides.

So does our given lengths work? Let's see:

16^2+30^2=35^2

256+900=1225

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Step-by-step explanation:

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A ball is thrown in the air from a height of 3 m with an initial velocity of 12 m/s. To the nearest tenth of a second, how long
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Answer:  1.4 seconds

<u>Step-by-step explanation:</u>

The equation is: h(t) = at² + v₀t + h₀          where

  • a is the acceleration (in this case it is gravity)
  • v₀ is the initial velocity
  • h₀ is the initial height

Given:  

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  • v₀ = 12
  • h₀ = 3

Since we are trying to find out when it lands on the ground, h(t) = 0

EQUATION:   0 = 9.81t² + 12t + 3

Use the quadratic equation to find the x-intercepts

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x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-9.81)(3)}}{2(-9.81)}\\\\\\x=\dfrac{-12\pm 16.2}{-19.62}\\\\\\x=\dfrac{-12+ 16.2}{-19.62}=-0.2\qquad x=\dfrac{-12- 16.2}{-19.62}=\large\boxed{1.4}\\

Note: Negative time (-0.2) is not valid

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3 years ago
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