Answer: Tom
Step-by-step explanation:
Tom did 1/3 of 30= 10 out of 30
Steven did 3/10 of 30= 9 out of 30
Juan did 20/100 of 30= 6 out of 30
Marcus did 8 out of 30
Here it is given that the width is x ft and total length of the fence is 2400 ft .
Let the length be y ft
So we have
Let A represents area, and area is the product of length and width .
So we get
Substituting the value of y, we will get
Second part
The area is maximum at the vertex, and vertex is
And
And that's the required dimensions .
9514 1404 393
Answer:
a. (-1/2, 5)
Step-by-step explanation:
The coefficients of x have opposite signs, so the x-terms can be eliminated by adding the two equations.
(2y -12x) +(3y +12x) = (16) +(9)
5y = 25 . . . . . . simplify
y = 5 . . . . . . . . .divide by 5
This matches only answer choice A.
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<em>Check</em>
The other part of answer choice A is x = -1/2. We can test this to make sure it works:
2(5) -12(-1/2) = 16
10 + 6 = 16 . . . . . . true, the selected answer works OK
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Answer:
C 24
D 25
Step-by-step explanation:
Consider the choices offered:
5 and 7 will not form a triangle* with any of the other lengths
7 and 12 will not form a triangle with any of the other (longer) lengths
7 and 24 will form a triangle with the other possibilities, 25 and 29. (needs further consideration)
7 and 25 will not form a right triangle with 29, because a right triangle cannot have 3 odd-length sides.
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<em>Further consideration</em>
7^2 +24^2 = 49 +576 = 625 = 25^2 . . . . checking Pythagorean theorem
The side measures 7, 24, 25 will form a right triangle.
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* A triangle can be formed from three segments only if the sum of the shortest two exceeds the length of the longest one.
Answer:
The correct option is 1. The circumference of circle is 12π units.
Step-by-step explanation:
From the given figure it is clear that the radius of the circle is6 units.
The circumference of a circle is
Where, r is the radius of the circle.
The circumference of the circle is
The circumference of circle is 12π units.
Therefore option 1 is correct.
