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3 years ago

an arrow is shot vertically upward from a platform 33ft high at a rate of 174 ft/sec. when will the arrow hit the ground?

Mathematics

1 answer:

Cloud [144]3 years ago

3 0

Answer:

h(t) = -16t2 + 186t + 43

at the ground h = 0

hence; -16t2 + 186t + 43 = 0

solving this quadratic equation using the quadratic formula ; a = -16, b = 186, c = 43 ; x = (-b +-(b2 - 4ac)1/2)/2a

gives t = 11.8 seconds to the nearest tenth (note that the negative root has no practical significance)

Step-by-step explanation:

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As shown in the image below, triangle ABC is reflected onto its image. А B с С" A Which of the following lines represents the li

dybincka [34]

Answer:

Line of reflection will be y = -2

Step-by-step explanation:

From the picture attached,

Triangle ABC has been reflected over an unknown line so that the triangle ABC will overlap triangle A'B'C'.

To find the line of reflection,

Coordinates of point C → (7, 0)

Coordinates of point C' → (7, -4)

Line of reflection = line passing through midpoint of the line joining C and C'

Midpoint of the line joining points C and C' = $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

= $(\frac{7+7}{2},\frac{0-4}{2})$

= (7, -2)

Therefore, line of reflection is y = -2.

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3 years ago

What is the term for protection that guarantees payment to you in the event of financial loss?

earnstyle [38]

Military discount, I guess...

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3 years ago

The circumference of a round swimming pool at a resort is 157 feet. The pool is 6 feet deep but can only be filled to three-four

denis23 [38]

706.5 cubic feet of water should be put in the pool.

Step-by-step explanation:

Given,

The circumference of swimming pool = 157 feet.

The depth of the pool = 6 feet.

For safety purpose $\frac{3}{4}$ th of its height water is there.

To find the amount of the water should be there.

Formula

The volume of the pool = circumference×height

Now,

The height(h) of the water is = 6× $\frac{3}{4}$ ft = $\frac{9}{2}$ ft

So, the volume of the pool = 157× $\frac{9}{2}$ cubic feet

= $\frac{1413}{2}$ cubic feet = 706.5 cubic feet.

Hence,

706.5 cubic feet of water should be put in the pool.

8 0

4 years ago

What’s the correct answer for this?

Svetach [21]

Answer:

c) √137

Step-by-step explanation:

<u><em>Explanation</em></u>:-

The distance between two points formula

$\sqrt{(x_{2}-x_{1} )^{2} + (y_{2} -y_{1} )^{2} }$

Given points are R (3,7) and S(-1,-4)

$RS = \sqrt{(-1- (3 )^{2} + (-4 -7 )^{2} }$

$RS = \sqrt{(-4 )^{2} + (-11 )^{2} }$

$RS = \sqrt{16 + 121 }$

RS = √137

The distance between the two points are RS = √137

8 0

3 years ago

Which fraction names the shaded part of the set?

Mademuasel [1]

It would be 4/12 which is equal to 1/3.

The answer is 1/3

7 0

3 years ago

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an arrow is shot vertically upward from a platform 33ft high at a rate of 174 ft/sec. when will the arrow hit the ground?​

an arrow is shot vertically upward from a platform 33ft high at a rate of 174 ft/sec. when will the arrow hit the ground?