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adell [148]
3 years ago
5

A flying object is moving at 150 m/s. It makes a complete and final stop in 12 seconds. Calculate the object’s acceleration.

Mathematics
1 answer:
kondaur [170]3 years ago
4 0

Answer:

-12.5 m/s²

Step-by-step explanation:

v (final velocity) = 0

u (intial velocity) = 150 m/s

t = 12s

a= v-u/t

a = 0 - 150 / 12

a = -12.5 m/s²

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Which ordered pair in the form (x, y) is a solution of this equation?
laiz [17]

Answer:

Substitute the x and y values from the ordered pairs into the equation, one by one, until both sides of the equation are equal.

Step-by-step explanation:

A. (-2,-3)

3 * (-2) - 4 * (-3) = 21

-6 + 12 = 21

6 = 21 <u>not equal</u>

B. (0,7)

3 * 0 - 4 * 7 = 21

0 - 28 = 21

- 28 = 21 <u>n</u><u>o</u><u>t</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>l</u>

C. (7,0)

3 * 7 - 4 * 0 = 21

21 - 0 = 21

21 = 21 <u>equal</u>

6 0
3 years ago
25 POINTS
Semenov [28]

If the slope of AB = CD and BC = AD it's a parallelogram:

Slope of AB = 6+1 / -9+5 = -7/4

CD = -2-5 / 3+1 = -74

These are equal.

BC = 5-6 / -1 +9 = -1/8

AD = -2 +1 / 3+5 = -1/8

These are also equal so it is a parallelogram.

Now to find if the diagonals are perpendicular find the slope of the perpensicular points:

AC = 5 +1 / -1 +5 = 6/4 = 3/2

BD = 6+2 / -9 -3 = 8/-12 = -2/3

Because BD is the reciprocal of AC, this means they are perpendicular.

And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.

5 0
3 years ago
Write a equation for (-6, -3)
Vlad [161]

<u>Answer</u>:

equation: y = x/2

<u>Explanation</u>:

let the points be  (-6, -3) ,  ( 0, 0)

slope: \frac{y2-y1}{x2-x1}

         : \frac{0--3}{0--6}

         : \frac{1}{2}

Equation using:

y - y1 = m ( x - x1 )

y - - 3 = 1/2( x - - 6 )

y + 3 = x/2 + 3

y\\ = \frac{x}{2}

5 0
3 years ago
Please help! I dont wanna beg
lesantik [10]
Volume = Length x Width x Height

V= 7.5 ft x 4.2 ft x w fr

The width is 2 as listed.

V= 7.5ft x 4.2ft x 2ft
V=63
6 0
3 years ago
The interior of a regular polygon is 5 times the exterior angle
densk [106]

Step-by-step explanation:

The interior angle of a polygon is given by

\frac{(n - 2) \times 180}{n}

The exterior angle of a polygon is given by

\frac{360}{n}

where n is the number of sides of the polygon

The statement

The interior of a regular polygon is 5 times the exterior angle is written as

\frac{(n - 2) \times 180}{n}  = 5( \frac{360}{n} )

Solve the equation

That's

\frac{180n - 360}{n}  =  \frac{1800}{n}

Since the denominators are the same we can equate the numerators

That's

180n - 360 = 1800

180n = 1800 + 360

180n = 2160

Divide both sides by 180

<h3>n = 12</h3>

<h2>I).</h2>

The interior angle of the polygon is

\frac{(12 - 2)  \times 180}{12}  =  \frac{10 \times 180}{12}  \\  =  \frac{1800}{12}

The answer is

<h2>150°</h2>

<h2>II.</h2>

Interior angle + exterior angle = 180

From the question

Interior angle = 150°

So the exterior angle is

Exterior angle = 180 - 150

We have the answer as

<h2>30°</h2>

<h2>III.</h2>

The polygon has 12 sides

<h2>IV.</h2>

The name of the polygon is

<h2>Dodecagon</h2>

Hope this helps you.

6 0
3 years ago
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