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Sonbull [250]
2 years ago
9

Non proportional or proportional

Mathematics
1 answer:
Elan Coil [88]2 years ago
4 0
Non proportional it should be
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12 multiple choice and 8 true/false

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Please solve this question.
andre [41]
  • <em>Answer:</em>

<em>x = - 2</em>

<em>y = 5</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>2x + 9 = y</em>

<em>y = - 4x - 3</em>

<em> </em>

<em>equality</em>

<em>2x + 9 = - 4x - 3</em>

<em>2x + 4x = - 9 - 3</em>

<em>6x = - 12</em>

<em>x = - 12 : 6</em>

<em>x = - 2</em>

<em>replace x = - 2</em>

<em>2(-2) + 9 = y</em>

<em>- 4 + 9 = y</em>

<em>y = 5</em>

<em>Good luck !</em>

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8 0
3 years ago
Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. Find the direction and
Anastaziya [24]
The problem is modelled in the first picture shown below

To work out the resultant vector, we modelled the vectors 150N and 75N as triangle AOB is shown in the second picture with AB as the resultant vector. 

We use the cosine rule to work out the length AB
AB^{2}= 75^{2}+ 150^{2}-(2*75*150*cos(60))
AB^{2} =28125-11250
AB^{2}=16875
AB= \sqrt{16875} =130(nearest whole number)

The third picture shows the full diagram of the vectors

To work out the direction of the resultant vector, we use the sin rule to find the size of angle A and angle B

Angle A
\frac{130}{sin(60)}= \frac{75}{sin(A)}
130sin(A)=75sin(60)
sin(A)= \frac{75sin(60)}{130}
sin(A)=0.4996300406
A= sin^{-1}(0.4996300406)
A=30 (rounded to nearest whole number)

Angle B
B=180-60-30=90

Direction is 60° toward negative x-axis

Answer: Magnitude 130N and direction 60° toward negative x-axis

3 0
3 years ago
A museum gift shop manager wants to put 1,644 polished rocks into small bags to sell as souvenirs. If the shop manager wants to
klemol [59]
You’ll need to divide 1,644 and 13 since the manager wants to put 1,644 polished rocks into small bags. And 13 rocks is how much will be in each bag. So you’ll do 1,644/ 15 = 109 with 6 left over. Hope it’s correct :)
3 0
3 years ago
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