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Math Asked by a SnapAndSolve user · about 18 hours ago

Choose the correct answer. If y varies directly as x and inversely as z, and y = 5 when x = 4 and z = 3,...

27. Choose the correct answer.
If y varies directly as x and inversely as z, and y = 5 when x = 4 and z = 3, find y when x = 3 and z = 7.
28. Choose the correct answer.
The ratio of the length of the ____ opposite an acute angle to the length of the leg adjacent to the acute angle is called the tangent of a right triangle.
A) hypotenuse
B) edge

Answer

  1. To solve for y, use the variation equation: y = k * (x/z). Given y = 5 when x = 4 and z = 3, find k: 5 = k * (4/3) which gives k = 15/4. Now, find y when x = 3 and z = 7: y = (15/4) * (3/7) = 45/28. The correct answer is 45/28.

  2. The correct answer is edge. The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side.

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