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Keith_Richards [23]

3 years ago

9

Use a trigonometric solution to find the magnitude of the resultant of the following coplanar forces

1 answer:

valentinak56 [21]3 years ago

5 0

To find the magnitude of the resultant of <span>60N at 90 degrees, 80N at 120 degrees and 100 N at 270 degree, you will just minus 180 degrees to 180 degrees since the remaining angle is the resultant velocity of the unmeasured side of the angle. Since there is a given of 30 degrees, then 180 degrees-30 degree = 150 degrees. Th magnitude is Ncos150 where N=squareroot of A^2+B^2 and the answer is 128.06
SO magnitude= 128.06cos150
=110.91
or 111</span>

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An office supply store recently sold a black printer ink cartridge for $17.99 and a color printer ink cartridge for $20.99. At t

UNO [17]

Answer:

40 black ink cartridges and 19 colored ink cartridges

Step-by-step explanation:

Let $b$ represent the number of black printer ink cartridges sold. Let $c$ represent the number of color printer ink cartridges sold.

Set up a system of equations:

$\displaystyle\\\begin{cases}b+c=59\\17.99b+20.99c=1,118.41\end{cases}$

$b+c=59\implies b=59-c$

Substitute:

$\displaystyle\\17.99(59-c)+20.99c=1,118.41\\\implies c=\boxed{19}$

$\implies b+19=59\implies b=\boxed{40}$

⇒ 40 black ink cartridges, 19 colored ink cartridges (ans)

8 0

2 years ago

Find the length of LM. Show your work.

kicyunya [14]

Answer:

<h2>20</h2>

<em>Solution</em><em>,</em>

<em><</em><em>N=</em><em>1</em><em>8</em><em>0</em><em>-</em><em>5</em><em>3</em><em>-</em><em>4</em><em>4</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>8</em><em>3</em>

<h3><em>Apply </em><em>sines </em><em>rule,</em></h3>

<em> $\frac{lm}{sin \: 83} = \frac{14}{sin44} \\ lm = \frac{14 \: sin \: 83}{sin \: 44} \\ lm = 20$ </em>

<em>hope </em><em>this </em><em>helps.</em><em>.</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

4 0

2 years ago

Read 2 more answers

57 is 13.5% of what number?

kondaur [170]

Let, the number = x
It would be: x * 0.135 = 57
x = 57 / 0.135
x = 422.23

Hope this helps!

6 0

2 years ago

Which ordered pale is a solution to the system of equations?

Softa [21]

Answer:

c) (-2, 1)

Step-by-step explanation:

3x - 3y = -9

2x + y = -3

2x + y = -3

-2x -2x

y = -2x - 3

3x - 3y = -9

y = -2x - 3

3x - 3(-2x - 3) = -9

3x + 6x + 9 = -9

9x + 9 = -9

- 9 -9

9x = -18

/9 /9

x = -2

y = -2x - 3

y = -2(-2) -3

y = 4 - 3

y = 1

(x, y) --> (-2,1)

Check your answer:

y = -2x - 3

1 = -2(-2) - 3

1 = 4 - 3

1 = 1

This statement is true

Hope this helps!

5 0

2 years ago

An athletic field has the shape of a 40-yard-by-100-yard rectangle with a semicircle at each end. A running track that is 10 yar

astraxan [27]

Answer:

5000 is the answer

Step-by-step explanation:

mark me brainliest

8 0

2 years ago

Read 2 more answers