The correct answer is: [D]: " 7.2 units" .
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Explanation:
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Use the Pythagorean theorem:
a² + b² = c² ;
in which: "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle); and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle; We wish to solve for "c" ;
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6² + 4² = c² ; Solve for "c" ;
↔ c² = 6² + 4² ;
= (6*6) + (4*4) ;
= 36 + 16 ;
= 52 ;
c² = 52 ;
Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ;
√(c²) = √52 ;
c = √52 ;
At this point, we know the 7² = 49 ; 8² = 64 ; so, the answer is somewhere between "7" and "8" ; yet closer to "7" ; so among the answer choices given;
The correct answer is: [D]: " 7.2 units" .
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However, let use a calculator:
c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
which corresponds to:
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Answer choice: [C]: " 7.2 units" .
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Answer:
In the first expression:
(5^3)^-4 = 5^-12
Step-by-step explanation:
You'd need to find the distance AROUND the garden, which is also PERIMETER.
To find the perimeter of a circle, you use the following equation:
=
=
25.13 ft I don't know what your answer options are, but chose the option closest to 25.13 ft
Steps to solve:
47.5 + 4.5x ≤ 65
~Subtract 47.5 to both sides
4.5x ≤ 17.5
~Divide 4.5 to both sides
x ≤ 3.8888888889...
So, yes, the friends will have to share snacks.
Best of Luck!
The measure of the third angle is 50 because a triangle has a sum of 180 degrees by angle.
so... 46+84=130 and to get to 180, the last angle has to be worth 50.
