Answer:
1) x = 15
Step-by-step explanation:
We use the Pythagorean thm for these questions. Where a and b are the legs (So order doesn't matter), and where c is the hypotenuse
1)
a² + b² = c²
9² + 12² = x²
81 + 144 = x²
x² = 225
You square root each side so you can get rid of the exponent on x.
x = 15
The best choice would probably be the third option from the top. Since by using the distance formula you can solve for the length or distance of each of the sides of the triangle, and check to see if it is equal. As would be in an equilateral triangle.
Slope wouldn’t be best for the last leg or bottom leg as there is no change in y and x.
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The surface area (SA) of a cube can be written as:
SA = 6s²
From here we can write, the length of the side s as:
For cube with surface area of 1200 square inches, the side length will be:
inches
For cube with surface area 768 square inches, the side length will be:
inches
The difference in side lengths of two cubes will be:
Rounding to nearest tenth of an integer, the difference between the side lengths of two cubes will be 2.8 inches.
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