Answer: 15 units .
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In this case, a square, the two sides of the square (forming a right triangle) are equal), and the "diagonal" forming is the hypotenuse of the right triangle.
In these cases, the measurements of the angles of the right triangle are "45, 45, 90" ; and the measurements of the sides are: "a, a, a√2" ; in which "a√2" is the hypotenuse.
We are given: "15√2" is the hypotenuse" ; and we are given that this is a right triangle of a square with a diagonal length (i.e. "hypotenuse" of "15√2" ; so the measure of the side of the "square" (and other two sides of the triangle formed) is: 15 units. (i.e., 15, 15, 15√2 ).
Answer:
We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over
Step-by-step explanation:
Find the "unit length" by dividing 1 m by 3.6 cm:
1 m
-----------
3.6 cm
Recall that 1 m = 100 cm. Multiply the following by the conversion factor 100 cm / 1 m:
1 m 100 cm
----------- * ----------------- = 27,7777777...
3.6 cm 1 m
We can get 27 pieces of wire 3.6 cm long and have a piece 7/9 cm left over (verify this by dividing 7 by 9 on a calculator).
Answer is c.
t = 0.5(d+h)
multiply both sides by 2 to cancel out the 0.5.
2t = d+h
2t - d = h
The average rate of change of <em>g(x)</em> over the interval [2, 8] is given by
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2)
In other words, it's the slope of the line through the points (2, <em>g</em> (2)) and (8, <em>g</em> (8)).
Use the definition of the function to evaluate it at the points in the numerator:
• 8 ≥ 4, so using the second piece, <em>g</em> (8) = -0.5(8) + 8 = 4
• 2 < 4, so <em>g</em> (2) = 5(2) + 1 = 11
Then the average rate of change is
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2) = (4 - 11) / 6 = -7/6
Answer:
2x-2+3x
Step-by-step explanation:
2x-2+3x
combine like terms (2x + 3x = 5x)
So 2x-2+3x = 5x-2
