<h2>
Explanation:</h2>
As I understand, you need to know the relationship between the area of similar figures. Two shapes are similar if we can turn one into the other by moving, rotating, flipping, or scaling, so this means we can make one shape bigger or smaller.
From math, if we call 
the scaling factor, then the area of one figure (
) divided by the area of another similar figure (
) will be equal to the scaling factor squared. In other words:
Answer:
160 ft
Step-by-step explanation:
We have
2(length + width)= perimeter
than,
let, width =x
now,
2(x+60+x) = 520
or, 2x+60 = 260
or, 2x = 200
or, x = 100
so length is 100+60 = 160
Answer:
4 seconds
Step-by-step explanation:
using the vertex formula of a quadratic,
, where (h,k) is the vertex
h is height and t is time in seconds
the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)
Height of 1/2
time of 2 seconds
it will take 2 additional seconds to reach the water again.
this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.
You need to multiple 7 and 5 or you could just skip the answer
<h3>
Answer: 73</h3>
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Work Shown:
Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.
tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(37) = x/97
97*tan(37) = x
x = 97*tan(37)
x = 73.094742859971
For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.
