DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 149)

Problem 1 :

In a 3-4-5 right triangle, if the length of the hypotenuse is 17, what is the length of the perpendicular line segment drawn from one of the vertices to hypotenuse?

Solution :

Problem 2 :

x³ + px² – 12x + 4 = 0

For the above equation, if x = –2 is one of the solutions and p is a constant, what is the sum of all the solutions?

A)  5

B)  6

C)  7

D)  8

Solution :

Problem 3 :

A gym is offering a promotion where the first month is free, the second month is half off the regular price and the remaning months are regularly priced. If the regular price for a month is $24.50, which function f gives the total cost, in dollars, of x months of gym use during this promotion, where x ≥ 2?

A)  f(x) = 24.50(x – 1) + 12.25

B)  f(x) = 24.50(x – 2) + 12.25

C)  f(x) = 24.50(x – 1) + 12.25(x – 2)

D)  f(x) = 24.50(x – 2) + 12.25(x – 1)

Solution :

Problem 4 :

It is given that a = 3x + 20 and b = x – 10. If cos a° = sin b°, what is the value of x?

A)  20

B)  25

C)  28

D)  30

Solution :

Problem 5 :

In the triangle above, the length of AC is 6. What is the area of triangle ABC?

A)  2√3

B)  3√3

C)  6√3

D)  5√3/3

Solution :

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