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Temka [501]
3 years ago
10

Pls help me someone

Mathematics
1 answer:
Jet001 [13]3 years ago
8 0

Answer:

cos(49) = x/50

Step-by-step explanation:

(The answer to the equation is 32.8)

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A soccer ball was kicked in the air and follows the path h(x)=−2x2+1x+6, where x is the time in seconds and h is the height of t
madam [21]

The ball will hit the ground at 2 seconds.

Step-by-step explanation:

Given that,

The path of the ball = h(x)=−2x2+1x+6

Here,

x is the time while h is the height of ball.

When the ball will hit the ground, the height will become zero. Therefore,

h(x)=−2x2+1x+6

0 =−2x2+1x+6

or

2x2 -1x - 6 = 0

This is a quadratic equation, hence by applying quadratic equation formula:

x = \frac{-b +- \sqrt{b^{2} - 4ac }   }{2a}

here,

a = 2

b = -1

c = -6

Putting these values in formula, we get

x = \frac{-(-1) +- \sqrt{-1^{2} - 4.2.-6 }   }{2.2}

x = \frac{1 +- \sqrt{1 + 48 }   }{4}

x = \frac{1 +- \sqrt{49 }   }{4}

x = \frac{1 +- 7   }{4}

x = 2, -3/2

As the time cannot be negative. Therefore, the ball will hit the ground at 2 seconds.

6 0
4 years ago
Read 2 more answers
Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)​
ivann1987 [24]

Given :

  • A = {x: 2x² + 3x - 2 = 0 }
  • B = {x : x² + 3x - 4 = 0 }

To find :

  • (A U B ) × (A Π B )

Solution :-

<u>The </u><u>first </u><u>set </u><u>is </u><u>,</u>

  • A ={x : 2x² + 3x - 2 = 0}

<u>Solving</u><u> </u><u>the </u><u>Quadratic</u><u> equation</u><u> </u><u>,</u>

  • 2x² + 3x - 2 = 0
  • 2x² + 4x - x - 2 = 0
  • 2x( x + 2) -1( x + 2 ) = 0
  • (2x -1) ( x + 2) = 0
  • x = 0.5 , -2

<u>Hence</u><u> </u><u>,</u>

  • A ={0.5, -2}

<u>The </u><u>second</u><u> </u><u>set </u><u>is </u><u>,</u>

  • B ={ x :x² + 3x - 4 = 0 }

<u>Solving</u><u> the</u><u> Quadratic</u><u> equation</u><u> </u><u>,</u>

  • x² + 3x - 4 = 0
  • x² + 4x - x - 4 = 0
  • x( x + 4)-1 ( x +4) = 0
  • (x + 4) ( x -1) = 0
  • x = 1 , -4

<u>Hence</u><u> </u><u>,</u>

  • B ={1,4}

<u>Now </u><u>,</u>

  • A U B = { 0.5 , 1 , 4 , -2}
  • A Π B = {∅ }

Since AΠ B is a null set , hence ,

  • A × B = {∅}
8 0
3 years ago
Solve. Express your answer as a simplified mixed number
Semmy [17]
Stick change flip
5/6 x 10/3 = 50/18 2 14/18 simplify 2 7/9
7 0
3 years ago
Read 2 more answers
Given the following diagram, enter the required information.
Verizon [17]
∠СXA = ∠BXA + ∠СXB = 30°20' + 40°35' = 70°55'
6 0
3 years ago
1 7/11 X 2 5/6 find the product
lana66690 [7]
1 7/11  = 18/11

2 5/6  = 17/6


Product = 18/11 * 17/6

 =  306 / 66  = 51/11  = 4 7/11  Answer
3 0
4 years ago
Read 2 more answers
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