E Learning Task 2: Solve each proportion. Write your answer in your notebook
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1) 5/12 = 35/n
2) n/52 = 180/ 120
3) 18/n = 21/28
4) n/4 = 24/6
5) 10/16 = n/56
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PIVOT 4A CALABARZON Math G6

The given expressions can be evaluated by using the arithmetic operations in order to find the value of 'n' in each case.

1) 5/12 = 35/n

Cross multiply in the above expression.

5n = 35 12

Further, simplify the above expression.

n = 84

2) n/52 = 180/120

Cross multiply in the above expression.

180n = 120 52

180n = 6240

Divide 180 by 6240 in the above expression.

n = 34.67

3) 18/n = 21/28

Cross multiply in the above expression.

18 28 = 21n

504 = 21n

Divide 504 by 21 in the above expression.

n = 24

4) n/4 = 24/6

Cross multiply in the above expression.

6n = 24 4

6n = 96

Divide 96 by 6 in the above expression.

n = 16

5) 10/16 = n/56

Cross multiply in the above expression.

10 56 = 16n

560 = 16n

Divide 560 by 16 in the above expression.

n = 35

For more information, refer to the link given below:

link

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Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

Simplifying both sides by 5

Question 2:

Simplifying both sides by 20

Simplifying by 3

Simplifying by 2

Question 3:

Simplifying both sides by 7

Simplifying both sides by 3

Question 4:

Question 5:

Simplifying by 2, both sides

Simplifying by 8, both sides

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this