Problem 1 :
In a right triangle, one of the angles is x°, if tan x° = 5/12, what is the value of sin x°?
Solution :
Problem 2 :
Dawson needs to measure the height of a building near his house. He chooses a point P on the ground where he can visually align the roof of his car with the edge of the building roof. The height of the car is 4 feet and the distance from point P to Q is 10 feet, as shown in the figure above. If the distance from point Q to point R is 80 feet, and the height of the building is k feet, what is the value of k?
Solution :
Problem 3 :
If a(x + 1) + b(x - 1) = 7x for all real number x, where a and b are constants, what is the value of a?
Solution :
Problem 4 :
According to the formula p = (⅔)k + 81, if trhe value of p is increased by 16, by how much does the value of k increase?
Solution :
Problem 5 :
x2 + y2 = 56
y = √x
According to the system of equations above, what is the value of x?
Solution :
Problem 6 :
A parabola represents the graph of the function f in the xy-plane, where y = f(x). If the vertex of the parabola is (5, –4) and one of the x-intercepts is (–1.5, 0), what is the other x-intercept?
A) (-6.5, 0)
B) (1.5, 0)
C) (3.5, 0)
D) (11.5, 0)
Solution :
Digital SAT Problems and Solutions (Part - 1)
Digital SAT Problems and Solutions (Part - 2)
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