Solve for cos(A) and select the positive value since A is an acute angle Substitute sin(A) by 11/14 in the above equation The radius is given by the distance between the center of the circle (4, - 5) and the y axis which is 4Īngle A is an acute angle and sin(A) = 11/14. The above equation has two solutions + √7 and - √7Ī circle with center (4,-5) is tangent to the y-axis in the standard (x,y) coordinate plane. How many solutions are there to the equation x 2 - 7 = 0? The radius of the circle is 4 and therefore the circumference is given by What is the circumference of the circle, expressed in coordinate units? In the standard (x,y) coordinate plane, the graph of (x + 3) 2 + (y + 5) 2 = 16 is a circle. Let x be the length of second leg and apply Pythagora's theorem as follows If the hypotenuse of a right triangle is 10 inches long and one of its legs is 5 inches long, how long is the other leg? We first factor 2x 2 + 2x - 12 as follows If the width is 5 in and the length is 3 times the width, then the length isįor all x >2, (2x 2 + 2x - 12) / (x - 2) simplifies to If the width of the rectangle is 5 inches, what is the rectangle's area, in square inches? The length of a rectangle is 3 times its width. If one ball is selected at random, the probability that it is blue is given by If 1 green and 1 blue ball are taken from the box, then there are 7 green, 3 blue and 3 white balls, a total of 13 balls. What is the probability that a blue ball is selected at random from the box? Then 1 green and 1 blue balls are taken from the box and put away. There are 15 balls in a box: 8 balls are green, 4 are blue and 3 are white. Which of the following is equivalent to (x)(x)(x)(x 3), for all x? ACT Maths Practice Questions with Detailed Solutions - sample 1 ACT Maths Practice Questions with Detailed Solutions - sample 1ĭetailed solutions and explanations to 60 Maths questions are presented.
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