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IRISSAK [1]
3 years ago
13

A clown is shot out of cannon with a velocity of 200 feet per second at an angle of 24°

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

Answer:

Vertical component of velocity is 81.35 ft/sec.

Horizontal component of velocity is  182.6 ft/sec.

Step-by-step explanation:

Horizontal component of velocity is defined as:

v_{x} = v\times cos\theta

Vertical component of velocity is defined as:

v_{y} = v\times sin\theta

Where v_{x} , v_{y} are the horizontal and vertical components of velocity.

v is the actual velocity and

\theta is the angle with horizontal axis at which the object was thrown.

Here, we are provided with the following:

v = 200 ft/sec

\theta = 24^\circ

v_{x} = 200 \times cos24^\circ\\\Rightarrow 200 \times 0.913\\\Rightarrow v_{x} = 182.6 ft/sec

v_{y} = 200 \times sin24^\circ\\\Rightarrow 200 \times 0.407\\\Rightarrow v_{y} = 81.35 ft/sec

So, Vertical component of velocity is 81.35 ft/sec.

Horizontal component of velocity is  182.6 ft/sec.

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3 years ago
Read 2 more answers
What is the sum of 20x^2-10x-30
ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

ax^{2} +bx+c=0

The sum of the roots is equal to

-\frac{b} {a}

in this problem we have

20x^{2} -10x-30=0  

so

a=20\\b=-10\\c=-30

substitute

-\frac{(-10)} {20}=0.5

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

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

a=20\\b=-10\\c=-30

substitute

x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}

x=\frac{10\pm\sqrt{2,500}} {40}

x=\frac{10\pm50} {40}

x=\frac{10+50} {40}=1.5

x=\frac{10-50} {40}=-1

The roots are x=-1 and x=1.5

The sum of the roots are

-1+1.5=0.5 ----> is ok

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3 years ago
Cakes and More baked 1,450 chocolate chip cookies. The bakery sold them in boxes of 25 cookies each. How much money will the bak
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Answer:

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Step-by-step explanation:

Step one:

given data

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2 years ago
I need help on this
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Step-by-step explanation:

x=90

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y=58

y+90+z=180 they are supplementary

58+90+z=180

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Find the product.<br><br><br> (−7)(8) =
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