The length of an insect’s wing, drawn at a scale of 50:1, is 15 cm. What is the actual length of the wing?
2 answers:
Answer:
0.3 cm
Step-by-step explanation:
The scale is 50:1 this means if the wing had a real length of 1 cm, in the drawing it will be of 50 cm.
We want to know the real length of the wing of the drawing has a wing with a length of 15cm.
We can express the information we have as follows:
Drawn length Real Length
50cm 1cm
15cm x
Where x is the real length of the wing when the drawing has a length of 15cm.
We can solve the problem by applying<u> rule of three</u>, we must multiply the cross quantities and divide by the remaining amount.
The actual length of the wing is 0.3cm.
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Answer:
x = 12
Step-by-step explanation:
The segment from the vertex to the base is a perpendicular bisector.
Using Pythagoras' identity on the right triangle on the right.
( x )² + 3² = (
)² , that is
x² + 9 = 45 ( subtract 9 from both sides )
x² = 36 ( multiply both sides by 4 )
x² = 144 ( take the square root of both sides )
x = = 12