The triangle and the square have equal perimeters. 1.Find the value of x. 2.What is the perimeter of each of the figures? ●What
expression represents the perimeter of the triangle? The perimeter of the square? ●What was your strategy in making an equation? ●What does X mean in the situation? ●Looking at the figures, are there any values that X could not be? Explain your reasoning. ●How does this information help when solving?
1 answer:
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Answer:
4.87 ft
Step-by-step explanation:
The height of the skylight =
The height of the blue △ - the height of the red △
Let <em>b</em> ft be the height of the blue △.
sin 60° =
<em>b</em> = 25 sin 60°
Let <em>r</em> ft be the height of the red △.
tan 40° =
<em>r</em> = 20 tan 40°
The height of the skylight
= 25 sin 60° - 20 tan 40°
= 4.87 ft (rounded to the nearest hundredth)
Answer:
0.0008
Step-by-step explanation:
The formula for a hypergeometric probability is
where N is the population, A is the number of objects of type A, B is the number of objects of type B, n is the sample size and x is the number of successes.
In this problem, N is 13. A is 5, since there are 5 objects drawn, and B is 8, since there are 8 remaining objects.
The sample size, n, is 5, and x is 5: