Answer:
- area = 14 square units
- perimeter = 19.1 units
Step-by-step explanation:
The base of the triangle extends from x=2 to x=6, a distance of 4 units.
The height of the triangle is 9 - 2 = 7 units.
Then the area is ...
A = (1/2)(4 units)(7 units) = 14 units^2
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The length of the hypotenuse is given by the Pythagorean theorem.
h^2 = 4^2 +7^2 = 16 +49 = 65
h = √65 ≈ 8.1
The perimeter is the sum of the side lengths:
P = 4 + 7 + 8.1 = 19.1 . . . units
We can factor the equation into:
(x-10)*(x-3)
Therefore the roots are:
X = 10
X = 3
Answer: C. 625 and 81
Step-by-step explanation: A relatively prime pair is a pair in which in both numbers given, the only number that can go into each number is one. In 112 and 36, we know 2 can evenly go into each number because they both end in a positive number (112/2 is 56 and 36/2 is 18.) This means A is incorrect. As for B, 11 can evenly go into each number, leaving you with 25 and 7. B is incorrect. And then there's D. 5 can go into each number giving you 160 and 19. D is incorrect.
C is correct because the only numbers that can go evenly into 81 is 1, 3, 9, 27, and 81. None of these numbers, except one can go into 625 also.
Answer:
8 hours worked, 64 dollars
56 dollars, 7 hours worked
themepark:
5 hours worked, 45 dollars
6 hours worked, 54 dollars
8 hours worked, 72 dollars
working at the themepark earns 5 extra dollars when they work for 5 hours.