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Pie
2 years ago
15

PLEASE ANSWER THIS GET BRAINLIEST IF YOUR ANSWER IS CORRECT AND 50 POINTS I'm gonna upload the rest on my next question

Mathematics
2 answers:
Phoenix [80]2 years ago
7 0

Answer:

Question 1: <u>24³ units</u>

Question 2: <u>180³ units</u>

Question 3: \frac{1}{16} ^3 units / 0.0625³ units

Step-by-step explanation:

<h3>Question 1:</h3>

V = lwh

V = 4(3)(2)

V = 12(2)

<u><em>V= 24³ units</em></u>

<h3>Question 2:</h3>

<em>V = lwh</em>

V = 12(5)(3)

V = 60(3)

<u><em>V = 180³ units</em></u>

<u><em /></u>

<h3>Question 3:</h3>

<em>V = lwh</em>

V = \frac{1}{2} (\frac{1}{4} ) (\frac{1}{2} )

V = \frac{1}{8}(\frac{1}{2} )

V = \frac{1}{16 } ^3 units

kondaur [170]2 years ago
4 0

Answer:

1.  24 cubic units

2.  180 cubic units

3.  1/16 cubic units

Step-by-step explanation:

<u>Question 1</u>

Volume of a rectangular prism = width × length × height

                                                   = 3 × 4 × 2

                                                   = 12 × 2

                                                   = 24 cubic units

<u />

<u>Question 2</u>

Volume of a rectangular prism = width × length × height

                                                   = 5 × 12 × 3

                                                   = 60 × 3

                                                   = 180 cubic units

<u>Question 3</u>

Volume of a rectangular prism = width × length × height

                                                   = 1/4 × 1/2 × 1/2

                                                   = 1/8 × 1/2

                                                   = 1/16 cubic units

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The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15
katrin [286]
<h2>Hello!</h2>

The answer is: The first graphic representation.

<h2>Why?</h2>

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

h(t)=-16.1t^2 + 150\\0=-16.1t^2 + 150\\16.1t^2=150\\t^2=\frac{150}{16.1}=9.32\\t=+-\sqrt{9.32}=+-3.05\\t1=3.05\\t2=-305

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

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From the given quadratic (or parabola) equation we have:

a=-1\\b=0\\c=150

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

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Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

8 0
3 years ago
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bezimeni [28]

Answer:

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Step-by-step explanation:

see the attached figure to better understand the problem

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so

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m∠1=m∠2+m∠3

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3 years ago
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irina1246 [14]
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Answer:

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Step-by-step explanation:

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