(Two office buildings are 51 m apart. The height of the taller building is 207 m. The angle of depression from the top of the taller building to the top of the shorter building is 15 degrees. Find the height of the shorter building to the nearest meter. ) QUESTION In the previous problem how does the angle of depression from the top of the taller building relate to the angle of elevation from the top of the shorter building. (You can pick more than once choice) A:They are congruent B:They are complementary C:They are supplementary D:They are alternate interior angles E:They are alternate exterior angles F:They are corresponding angles.
Graph the system of constraints and find the value of x and y that maximize the objective function.. x>0. y>0. y<1/5x+2. 5>y+x. objective function: c=7x-3y
Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping? x(x2 + 4) + 5(x2 + 4) x2(x + 4) + 5(x + 4) x2(x + 5) + 4(x + 5) x(x2 + 5) + 4x(x2 + 5)
Consider the following incomplete deposit slip: Description Amount ($) Cash, including coins 150 75 Check 1 564 81 Check 2 2192 43 Check 3 4864 01 Subtotal ???? ?? Less cash received ???? ?? Total 7050 50 How much cash did the person who filled out this deposit slip receive? a. $849.25 b. $715.56 c. $7,621.53 d. $721.50
Use this image to answer the following question. The ice cream shop Select one: a. wants to produce mostly chocolate ice cream b. wants to produce mostly strawberry ice cream c. would operate inefficiently if it produced 6 gallons of both flavors d. is most efficient when it produces 2 gallons of strawberry ice cream Download png
In an isometric transformation, the preimage and image must not __________. A.change size B.rotate C.preserve angle measures D.reflect across the -axis
Which of the following pairs of numbers contain like fractions? a. 5 / 6 and 10 / 12 b. 3 / 2 and 2 / 3 c. 3 1 / 2 and 4 3 / 4 d. 6 / 7 and 1 5 / 7
What is the focal length of the parabola whose graph is shown? focus: (-3, 2.6) and directrix: (-0.6)
What is the median value of the data set shown on the line plot? Enter your answer in the box. A line plot with twenty-two data values. Labels are at zero, three, six, nine, and twelve. Tick marks are every one unit. Values appear as x marks above the line. Plot data values are one x mark above one, one x mark above two, two x marks above three, two x marks above four, three x marks above five, four x marks above six, three x marks above seven, three x marks above eight, two x marks above nine, and one x mark above eleven.
What is the sum of the arithmetic sequence 8,14,20... , if there are 22 terms? answers to choose from. a)1,558 b)1,560 c)1,562 d)1,564
Which function has zeros at x = 10 and x = 2Options:f(x) = x2 – 12x + 20f(x) = x2 – 20x + 12f(x) = 5x2 + 40x + 60f(x) = 5x2 + 60x + 100
In the square ABCD, AE = 3x + 5 and BD = 10x + 2. What is the length of line AC? 1. 2 2. 11 3. 22 4. 32 Download png
In order to circumscribe a circle on a triangle, which line must you construct? a.median b.altitude c.diagonal d.perpendicular bisector
1. For ABC, what is the value of cosC? A.) 0.5 B.) 0.6 C.) 0.8 D.) 0.9 2. A right triangle’s hypotenuse is 20 cm long. What is the length of the side opposite a 60° angle? Give your answer to the nearest tenth of a centimeter. A.) 40 B.) 18.5 C.) 20 D.) 17.3 3. A right triangle’s legs are 3 and 4 meters long. What is the measure of the angle adjacent to the 4-meter leg to the nearest tenth of a degree? A.) 35.9° B.) 36° C.) 36.9° D.) 37.5°
Which of the following states the pythagorean theorem? a. in a right triangle, the hypotenuse equals the sum of the squares of the legs. b. in a right triangle, the square of the hypotenuse equals the sum of the legs. c. in a right triangle, the square of the hypotenuse equals the sum of the squares of the legs. d. in a right triangle, the hypotenuse equals the sum of the legs.
Which of the following represents \"the average of 171 and x \"?. . (x + 2)/171. (171 + x)/2. (171 - x)/2
What is a common mistake made in budgeting? a. Over-estimating expenses b. Budgeting for financial goals or savings last c. Writing the budget down d. All of the above
Which pairs of polygons are congruent? pairs 1, 2, and 3 pairs 1, 2, 3, and 4 pairs 2 and 3 pairs 1 and 3Download png
What is the equation of the plane that contains the triangle shown in the diagram? 2x + 3y + z = 6 2x + 3y + 6z = 12 3x + 2y + 6z = 0 6x + 2y + 3z = 18 Download gif
What value of x will make the triangles similar by the SSS similarity theorem? 1.5 20 30 67.5 Download png
Use natural logarithms to solve the equation. Round to the nearest thousandth. SHOW WORK 5e2x + 11 = 30
An oblique prism has trapezoidal bases. Which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units