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Math Asked by a SnapAndSolve user · about 18 hours ago

Choose the correct answer. Convert 45° to radians. π/8 π/3 π/2 π/4 22. Choose the correct answer. If y...

21. Choose the correct answer.
Convert 45° to radians.
π/8
π/3
π/2
π/4
22. Choose the correct answer.
If y varies jointly as x and z, and y = 20 when x = 15 and z = 6, find y when x = 4 and z = 5.
60
3
1 3/4

Answer

  1. To convert 45° to radians, use the formula: radians = degrees × (π/180). So, 45° × (π/180) = π/4. The correct answer is π/4.

  2. If y varies jointly as x and z, then y = kxz for some constant k. Given y = 20 when x = 15 and z = 6, we have 20 = k(15)(6). Solving for k gives k = 20/90 = 2/9. Now, find y when x = 4 and z = 5: y = (2/9)(4)(5) = 40/9 = 4.44. The closest answer is 3.

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