Provide an appropriate response.Using Heron's formula, find the area of the triangle as shown. Round the answer to four significant digits. 

A. 147.5 m2
B. 11.13 m2
C. 1,071 m2
D. 32.73 m2


Answer: D

Mathematics

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Solve the system of equations using matrices. Use Gaussian elimination with back-substitution. x + y + z= 2 x - y + 5z=-42x + y + z= 7

A. {(5, -2, -1)} B. {(-2, -1, 5)} C. {(5, -1, -2)} D. {(-2, 5, -1)}

Mathematics

Use a sum-to-product identity to rewrite the expression.sin  - sin 

A. 2sin  cos 
B. 2cos  sin 
C. 2cos  cos 
D. 2sin  sin 

Mathematics

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.Sales at a local ice cream shop went up 20% in 5 years. If 18,000 ice cream cones were sold in the current year, find the number of ice cream cones sold 5 years ago. (Round to the nearest integer, if necessary.)

A. 90,000 ice cream cones B. 15,000 ice cream cones C. 14,400 ice cream cones D. 3600 ice cream cones

Mathematics

Solve the problem.An arch has the shape of half an ellipse. The equation of the ellipse is  where x and y are in meters. How high is the center of the arch? 

A. 30 m B. 36 m C. 18 m D. 15 m

Mathematics