Answer:
a =
b = 12
c =
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths .
A 30-60-90 right triangle has side lengths .
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length . Therefore, .
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to . This means was multiplied by . This means that side c is .
54x89=4806
123x85=10,455
64x15=960
264x14=3,696
Answer:
49x2−4y2
Step-by-step explanation:
7x(7x)+7x(−2y)+2y(7x)+2y(−2y)
Answer:
517,262
Step-by-step explanation:
A population of butterflies grow in such a way that each generation is simply 1.5 times the previous generation. There were 350 butterflies in the first generation, how many will there be by the 19th generation?
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Ans: (1.5)^18 * 350 = 517,262
Answer:
g(x) is greater
Step-by-step explanation:
it is greater because when mulitplying the function g and x you get a higher number than you would with f(x)
hope that helps!!