The measures of the sides of the right triangle below are in inches. What is the sum, in degrees, of the measures of the angles X and Y? X and Y are acute angles such that tanY = cotX. What is the area of the circle that contains all 3 vertices of the triangle? The two legs of a right triangle measure 6 and 8 inches respectively. If the expression x 3 + 2hx - 2 is equal to 6 when x = -2, what is the value of h?įor what negative value of k, the system of equations below has no solutions? If the company generates sales of $5,000,000, how much money does each one of the owners get? The profit is shared equally among the 4 owners of the company. If (a + b) 2 = 25 and (a - b) 2 = 45, then a 2 + b 2 = ?Ī company makes a profit equal to 25% of its sales. What is the largest possible product for 2 odd integers whose sum is equal to 32?
If x + 4y = 5 and 5x + 6y = 7, then 3x + 5y = ?įor all real numbers x, the minimum value of 1 + 2cos(4x) is If r% among the students are 12 years or younger, which of the following expressions represents the number of students who are older than 12? What is the measure, in degrees, of the largest angle? The measures of angles A, B and C of a triangle are in the ratio 3:4:5. Which one of the graphs shows the graph of y = -2x + 2? What is the smallest number of whole pizzas needed for lunch?Īll axes in the graphs below have the same scales. Each person eats at least 3/4 of a pizza. What is the smallest value of x that satisfies the equationĪ group of 7 friends are having lunch together. In the figure below, B is on AD, ∠ BAC and ∠ ACB measure 26° and 131° respectively. The graph of y = 2/(x - 3) is shown belowĪmong the following, which is the best possible graphical representation of y = -2/|x - 3| In the right triangle ABC below, what is the cosine of angle A? If x and y are any real numbers such that 0 < x < 2 < y, which of these must be true? If you drove at average speed of 66 miles per hour, what distance, in miles, did you drive in 99 minutes? If a trapezoid has an altitude of 15 inches, an area of 105 square inches, and one of the bases 22 inches, what is the perimeter, in inches, of the trapezoid? The area of a trapezoid is 0.5 h (b1 + b2), where h is the altitude, and b1 and b2 are the lengths of the parallel bases. When graphed in the (x,y) coordinate plane, at what point do the lines 2x + 3y = 5 and x = -2 intersect? Which of the statements describes the solution set for -2(x + 8) = -2x + 20?ĭ) There are no solution for this equation.Į) All real numbers are solutions of this equation.
What is the area, in square inches, of triangle Δ ABC.Į) cannot be determined from the given information AH is perpendicular to BC and has a length of 2√3 inches. In the figure below ABC is an equilateral triangle. The length of sides AB and AC in the triangle below are equal. Which of the following is divisible (with no remainder) by 4?Ī particle travels 1 x 10 6 meters per second in a straight line for 5 x 10 -6 seconds. What is the ratio of defective to non defective televisions? In a shipment of televisions, 1/50 of the televisions are defective. What are the values of a and b, if any, where - a|b + 4| > 0? What is the radius of this circle?Īngle A is an acute angle and sin(A) = 11/14. How many solutions are there to the equation x 2 - 7 = 0?Ī circle with center (4,-5) is tangent to the y-axis in the standard (x,y) coordinate plane. 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. 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? If the width of the rectangle is 5 inches, what is the rectangle's area, in square inches?įor all x >2, (2x 2 + 2x - 12) / (x - 2) simplifies to The length of a rectangle is 3 times its width. 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?
0 kommentar(er)
