DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 154)

Problem 1 :

Given :

cos (a) = 0.5

sin (b) = 0.39

Find the value of the following expression :

cos (90 - b) sin (b) + sin (90 - a) cos (a)

Solution :

Problem 2 :

(2x - k)(3x² – 48)(5x² – 15x + 7k) = 0

In the equation above, k is a constant and sum of all the solutions of the equation is 5. What is the value of k?

Solution :

Problem 3 :

The figure above shows two squares and a circle. If the length of PS is a, what is the area of the shaded region?

Solution :

Problem 4 :

ax + by – 2 = 0

In the function above, a and b are constants. If the graph of the function has a negative slope and a negative y-intercept, which of the following is true?

A)  a = 0

B)  a > 0

C)  a < 0

D)  a ≥ 0

Solution :

Problem 5 :

In the xy-plane above, MATH is a rhombus and line ℓ passes through points A and H. Which of the following is the equation of line ℓ?

Solution :

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Digital SAT Problems and Solutions (Part - 1)

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Digital SAT Problems and Solutions (Part - 250)

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