Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven
2 answers:
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Answer: The fraction would be 0.53.
Step-by-step explanation:
Since we have given that
where, A is the constant initial production rate
t is the time.
For 98 years, the production rate in motorcycles per year would be
For 13 years, the production rate in motorcycles per year would be
So, the fraction of their total production was built during the last 13 years would be
Hence, the fraction would be 0.53.
Answer:
x = 16
y = 20
Step-by-step explanation:
the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.
since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²
; 9² + 12² = c²
; 225 = c²
;√225 = c
; 15 = c
since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',
;
; x 9 = Sinx
36.86 = x
now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.
; 90 - 36.86 = 53.13
; x Sin 90 = 20
y = 20
again, since we have 2 sides of a right angled triangle we use a² + b² = c²
we arrange this formula since we have the hypotenuse
; 20² - 12² = 256
; √256 = x
; 16 = x