If the scale factor of figure a to figure b is 7:2 find the perimeter of figure a whenever the perimeter of figure b is 35
2 answers:
Answer:
122.5
Step-by-step explanation:
The scale factor of two figures is the ratio of the corresponding sides or in this case the perimeters. The scale factor of figure a to figure b is 7:2 this means that for 7 units of perimeter on the a figure, there are 2 units of perimeter on the b figure.
To obtain the perimeter of the figure a we arrange the equation (the ratio is maintained so both sides of the equation are equal):
where x will be the perimeter of figure a. We solve for a like this:
a figure perimeter is 122.5
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Answer:
IJ is 5.8 ft
Step-by-step explanation:
Here, we want to calculate the length of IJ
to Find IJ, we need the appropriate trigonometric ratio
The trigonometric ratio to use in this case is the one that connects the opposite and the adjacent
from the question, IJ is the opposite
This is the side facing the given angle
HI is the hypotenuse which is the side facing the right-angle
HJ is the third side which is the adjacent
Mathematically;
That is the Tan
Tan 71 = IJ/2
IJ = 2 Tan 71
IJ = 5.8
