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tatyana61 [14]
3 years ago
12

Z ÷ 12 = 9. Explain With Detail Plz

Mathematics
2 answers:
kifflom [539]3 years ago
8 0
It simple asks you to multiple 9 by 12.

Z is a variable / a setting unknown number is divided by 12 to give you 9

To find
Z you would have to take the ÷12 to the opposite side crossing over the = sign

which will make it the ÷ sign to change it the opposite which is × ( the opposite of ÷ is × and the opposite of - is + )

You are now left with
Z = 9 × 12

and you know that 9 × 12 is 108 which makes Z, 108.

Z = 108
Elena-2011 [213]3 years ago
4 0
Z=9x12
z=108

.........
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Answer:

Tan(b°) = 3/4 = three fourths (C)

Step-by-step explanation:

Triangle JKL is a right angled triangle in which angle K is a right angle and angle L= b°

We would apply SOHCAHTOA from trigonometry to determine the value for each sides.

For ∆JKL

Sin(b°) = opposite/hypotenuse

Sin(b°) = 3/5

Cos(b°) = adjacent/hypotenuse

Cos(b°) = 4/5

Tan(b°) = 3/4

From the above we know the value of each sides of ∆JKL

Find attached the diagram of the above triangle (1)

∆JKL is dilated by a scale factor = 2

Meaning we would multiply each sides of ∆JKL by 2. The values of the new triangle become:

Opposite = 2(3) = 6

Adjacent = 2(4) = 8

Hypotenuse = 2(5) = 10

To find tan(b°) of the new triangle, we would apply tangent ratio

Tan(b°) = opposite/adjacent

Tan(b°) = 6/8

Tan(b°) = 3/4

Find attached the diagram for the new triangle (2)

Diagram 3 shows the drawing of both triangles together.

From the above, we can see the angle doesn't change when a shape is dilated by a scale factor.

Therefore, tan(b°) = three fourths (C)

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