Find the area of the triangle using Heron's formula. Round your answer to two decimal places as needed.

A. 229.64 yd2
B. 45.93 yd2
C. 32.48 yd2
D. 162.38 yd2


Answer: D

Mathematics

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Determine whether the improper integral converges or diverges. + x3)dx

A. Converges B. Diverges

Mathematics

Solve the system of equations.

A. x = -5, y = 3, z = 0; (-5, 3, 0) B. x = -5, y = 0, z = 3; (-5, 0, 3) C. x = 0, y = 3, z = -5; (0, 3, -5) D. inconsistent

Mathematics

Solve. Graph the solution on a number line, and express it in interval notation.5x - 15 < -3or5x - 15 > 3 

A. x ? -3.6 or x > 3.6, (-?, -3.6] ? (3.6, ?)

B. (-?, 2.4)

C. 2.4 < x < 3.6, (2.4, 3.6)

D. x < 2.4 or x > 3.6, (-?, 2.4) ? (3.6, ?)

Mathematics

Solve.A recent advertisement claimed that 2 out of every 3 doctors recommend a certain herbal supplement to increase energy levels. If a local hospital employs 100 doctors, how many doctors would you expect to recommend the supplement? (Round to the nearest whole number, if necessary.)

A. 150 doctors B. 600 doctors C. 33 doctors D. 67 doctors

Mathematics