Solve the problem, assuming that the triangles are similar. ?In the left triangle, the hypotenuse has length 10, and the longer leg has length 8. In the right triangle, the hypotenuse has length 5, the longer leg has length 4, and the shorter leg has length 3. Find the length of the shorter leg of the left triangle.

A. 9
B. 4
C. 6
D. 3


Answer: C

Mathematics

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Determine the value of x or ? as requested. Round results to an appropriate number of significant digits.Determine the value of x.

A. 86.9 m B. 4.8 m C. 31.4 m D. 55.5 m

Mathematics

Solve the problem.A rectangular garden has dimensions of 25 feet by 11 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 460 square feet?

A. 7.5 ft B. 7 ft C. 6 ft D. 5 ft

Mathematics

Graph the function to find the stated characteristic of the graph.Graph f(t) = 3.5sin (t + ) -1 in  by . State the phase shift.

A. - 
B. - ?
C.
D. 2?

Mathematics

Solve.In 1998, the population of Country C was 38 million, and the exponential growth rate was 1% per year. Find the exponential growth function.

A. P(t) = 38e0.01t, where P(t) is in millions and t is the number of years after 1998. B. P(t) = 38e1t, where P(t) is in millions and t is the number of years after 1998. C. P(t) = 380.01t , where P(t) is in millions and t is the number of years after 1998. D. P(t) = 38e0.01, where P(t) is in millions and t is the number of years after 1998.

Mathematics