Coordinate system Questions and Answers

Rebecca supplies costumes to a number of theater companies and recently lent out a number of different hats turbans berets mortarboards top hats 6 3 3 2 What is the experimental probability that the next hat requested from Rebecca s inventory will be a turban Simplify your answer and write it as a fraction or whole number P turban

3 10 Determine the exact value tan sin 7

What is P heads or tails Simplify your answer and write it as a fraction or whole numb

13 The locations of wildflowers and honeybee hives are plotted on a coordinate plane A beehive is located at 2 8 and its bees were found visiting flowers as far as a flower patch located at 4 2 Write the equation that models the circumference of the circular area in which the bees were foraging y

Graph the line that passes through the points 6 4 and 3 0 and determine the equation of the line 10 9 8 7 6 5 4 3 2 1 10 y 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10

Extra Credit Find an equation of the parabola that passes through the points 2 31 4 31 and 8 151 Hint It isn t that hard to find h Then use the given points to find a by looking at k Then find k

If mTA 42 and mMI 130 find m C A T M

Chapter 13 K The diagram on the right is a floor pla the floor plan

1 Find the value of all six trigonometric functions for the angle represented k 4 S 1 4

A hiker whose eye level is 2 meters above the ground wants to find the mirror horizontally on the ground 20 meters from the base of the tree a point C which is 4 meters from the mirror B he can see the reflection o tree a 10 m b 18 m c 22 m d 40 m O A 2 m C 4 m B 20 m

Jamal wants to build two ramps to use as bik ramps will have the same launch angle Wha a They are similar triangles b They are congruent triangles c They are equilateral triangles d They are isosceles triangles

Which similary postulate or the C AABD ACDE by SS AABC ACDE by SA They are not similar

Untitled Question What is the value of x 12 1 5 E 42 67 9 5 6

ven the circle below with secants GHI and KJI If JI 30 KJ 17 and I 31 find the length of GH Round to the nearest tenth if necessary I J K G

Find the coordinates of the midpoint of each segment and find the length of each segment 1 ME 2 ET 3 TR 4 RM AY M a 2b Formulas E 2a 2b the Sma R 0 0 T a 0

1 5 Tranformations R a The graph of y 2 is shown in black K Match each equation with a graph above B 21 2 1 2 1 2 1 Submit Quortion a green G b red R c orange 0 d blue B Question Help Video Post to forum

1 5 Tranformations Starting with the graph of f x 92 write the equation of the graph that results from a shifting f x 1 units upward y b shifting f z 8 units to the right y c reflecting f x about the x axis and the y axis y

Given the function f x x graph consider the transformation g x f x 2 a Is this a horizontal or a vertical change Horizontal Vertical b Which way is the graph shifted and by how many units f x is shifted LEFT by This is not a decimal or integer value units Enter aii integer or decimal number more c The graph of f x is shown below Graph g x on the same axes Use two points on g x that have been transformed from f x 5 4 2 1 Clear All Draw m 2 1 7 2 3 5 3 4

hine the amplitude and period of the follow 9 1 6 sin

Find an equation for the ellipse whose vertices are at 1 6 and 1 2 and focus is at 1 1 Graph the equatio The equation of the ellipse is 1

State the coordinates of the point 10 5 10 LO 5 5 10 y of 5 10

State the coordinates of the point 10 5 10 5 5 y 5 10

State the coordinates of the point 10 5 10 5 5 10 y 5 10 10

O is the center of the regular pentagon below Find its area Round to the nearest tenth if necessary Answer A Submit Answer 2 square units

O is the center of the regular hexagon below Find its area Round to the nearest tenth if necessary Answer A O 15 square units

What is the image point of 0 8 after a translation right 3 units and down 5 units

What is the image of 3 0 after a dilation 1 by a scale factor of centered at the origin

Figure is the result of a transformation on transformation would Figure B Which accomplish this 7 6 O 5 O 4 3 2 1 7 6 5 4 3 2 1 1 2 3 4 5 y 6 7 2 Figure C O A reflection over the y axis Figure B 4 5 6 7 O A reflection over the x axis A rotation 90 clockwise about the origin A rotation 90 counterclockwise about the origin

Watch help video What is the sum of 6 of the interior angles of a regular nonagon

Play Video Ga Does Not Play Jordan interviewed her 30 classmates on whether or table shown Which statement is true More than half of her classmates drink soda and play video gam About 67 of her classmates play video games

Find the measure of angle b 1 b 46

The figure shows right triangles drawn inside of a rec sin p cos Choose Choose IKE Select from the drop down menus to correctly complete each statement m cos k sin Choose Choose m ectangle k D m p

Which parametric equations describe a spiral beginning at the origin for t 20 Select one O a x tsint and y tsint O b x cost and y sint O c x cost and y tsint O d x 5cost and y 5sint O e x tand y sint Find the component form of the vector

Fill in the blank and round your answer to the nearest hundredth Use this vector for questions 13 and 14 41 3 The magnitude of the vector is Write your answer as a number only

Use the polar symmetry tests to determine if the graph is symmetric about the x axis y axis or origin r 3 5sine Select one O a y axis O b origin O xoris

Graph f z log z 3 below First locate the ver graph 6 333 Asa 4 2 1 8 7 6 5 4 3 2 1 11 2 3 1 2 3 4 5 6 7 8

12 3 Which of the following is the symbolic form of f x x 2 x 2 B f x sinx 2n x 0 X X 0 x 2 x 2 D f x cos X 2n x 0 X X 0 Select one A 2 DI x 2 x 2 A f x sin x 2 x 0 X X 0 x 2 x 2 C f x cos X 2 x 0 X X 0

b Sketch a graph with a line of symmetry of at x 2 a range of y 4 0 and x intercepts 5 units from the line of symmetry 2

a b Similar Both Neither C d Rule Congruent 4 6A Match each coordinate rule with the letter describin x y x 3 y x y 2x 2y Match Letter A B Des Tran Tran

3 Let f x 1 01e 4 62e 3 11e 12 2e 1 99 a Use three digit rounding arithmetic the assumption that el 53 4 62 and the fact that en e n to evaluate f 1 53 using just addition and multiplication That is assume that you cannot compute e2 1 53 e3 06 directly so you have to compute it as e2 1 53 e1 53 2 4 62 b Rewrite f x in a nested form as we did in class for polynomials c Redo the calculution in part a using the nested form from part b d Compare the approximations in part a and part c to the true three digit result f 1 53 7 61 Which method has greater accuracy

Use a polar coordinate system to plot the point with the given polar coordinates Then find another representation r 0 of this point in which a r 0 2 0 4 b r 0 0 0 2 c r 0 2 0 0 10 0 37 4 Choose the correct graph below O A 5 10 B 5 10 N C N O D 5 10 Ly

Label the vertices foci and asymptotes of the graphed hyperbolas y 3 4 Select O Select O 10 Select y 10 5 5 Select O Select 10 X Select O

3 Triangles ABC and A B C are similar figures Determine the length of Side B C 8cm 13cm 2

Plot the points with polar coordinates 2 1 and 51 4 m 4z 27 3 EN 63 In 4 11 3 4 X using the pencil

A circle has a circumference of 16 inches What is the exact area of the circle in square inches

Line m represents a translation 3 units down of line 1 Which equation represents line I A y 3 2 x 5 B y 2 3 x 5 C y 3 2 x 1 D y 2 3 x 1

5 6 The ratio of the diameters of two similar cylinders is 3 5 If the surface area of the smaller cylinder is 378 square inches find the surface area of the larger cylinder Type your answer 1 point The ratio of the surface areas of two similar pyramids is 16 9 If the volume of the smaller pyramid is 297 cm find the volume of the larger pyramid Type your answer 1 point Cone A and Cone B are similar The surface area of Cone A is 108 mm2 and the surface area of D 0575

Find the reference number for each value of t a t 9n 0 b t 4T 6 5 6T GE 5 4 25x 6 X X

Maria works for a not for profit company that offers 50 matching for their 403 b plan A 403 b plan is very similar to a 401 k plan and allows employees to invest their money pre tax The plan predicts investors will earn 4 9 If Maria invests 199 per month how much money will her company match her every month Round your answer to the nearest cent

2 32 Determine the resultant of the force system shown in Figure P2 32 104 lb 70 lb 90 lb 12 25 5 75 80 lb