Geometry Questions

Identify the center and radius of the circle x y 3 16 center x y radius

Melissa needs to translate a figure six units to the right and two units down Which of the following rules correctly represents that translation A z y z 2 y 6 z y z 2 y 6 z y 2 6 y 2 x y z 6 y 2 B C D

In Silicon Valley a number of computer firms were found to be contaminating underground water supplies with toxic chemicals stored in leaking underground containers A water quality control agency ordered the companies to take immediate corrective action and contribute to a monetary pool for the testing and cleanup the underground contamination Suppose that the required monetary pool in millions of dollars is given by the following function where x is the percentage expressed as a decimal fraction of the total contaminant removed Complete parts A through E P x 3x 1 x OA The x intercept s is are x Simplify your answer Use a comma to separate answers as needed OB There are no x intercepts Find the y intercept s Select the correct choice below and if necessary fill in the answer box to complete your choice A Simplify your answer Use a comma to separate answers as needed OB There are no y intercepts E Sketch a graph of P x Choose the correct graph below OA OA The y intercept s is are y 0 x 1 APDO 50 0 A Q Q OB APDO 50 14 GEXED Q 12 OC AP X Q LL Q OD 50 APDO Q Q G

4 Assume each outcome in the sample space represented by the Venn diagram below is equally likely Are A and B independent FOB OO O Yes No

Question 3 of 7 3 Assume each outcome in the sample space represented by the Venn diagram below is equally likely Find P AIB A Answer B

Find the center radius form of the equation of the circle described and graph it center 0 2 radius 2 Type the center radius form of the equation of the circle x y 2 Type an equation Simplify your answer Graph the circle 4 Click to enlarge graph 10 Ay 10

8 cm 9 a Given the square based prism shown where AB 3 cm and AE state whether each statement is true or false Explain i AB GH GH b Calculate the magnitude of BD BE and BH H E F CG iii AD DC iv AH BG ii EA ii EA CG G

4 Vectors a b and care as shown a Construct a b 7 b Construct a b 2 c Compare your results from parts a and b

3 Given the vectors a b and 2 construct vectors equivalent to each of the following b 1 7 fo to

2 Given AABC draw appropriate arrows on the sides of the triangle and give a single vector equivalent for each of the following a BC CA b AB BC CA C AB AC d BC BA

1 The vectors and are drawn as shown below Draw a vector equivalent to each of the following X

11 AB is a vector whose tail is at 4 2 and whose head is at 1 3 a Calculate the magnitude of AB b Determine the coordinates of point D on vector CD if C 6 0 and CD AB c Determine the coordinates of point E on vector EF if F 3 2 and EF AB d Determine the coordinates of point G on vector GH if G 3 1 and GH AB

Sketch a picture with the coordinates of the unit circle on the terminal side clearly labeled assuming the given angle is in standard position Use the picture to find the exact value a sin 4 3 b tan 5 se 3 4

3 7 6 5 44 3 2 1 7 6 5 4 3 98 2 1 2 3 6 7 8 9 y 1 2 3 4 5 6 7 X 8 Position the four points so they do not coincide and so they all lie on the graph of the same logarithmic function

Select the true statements to determine whether ADAC is congruent to ABCA B Show your work here ZACBZCAD 46 The triangles are not congruent AB AD C The triangles are congruent by the SAS criterion 46 ZCABZDCA A The triangles are congruent by the AAS criterion The triangles are congruent by the ASA criterion D

Select all true statements C A Show your work here CB BE AB BD 4 6 B 6 4 AB BE ZBACZBDE because vertical angles are congruent CB BD The triangles are congruent by the ASA criterion ZABC ZDBE because vertical angles are congruent The triangles are congruent by the SAS criterion D The triangles are congruent by the SSA criterion E

Draw the image of the triangle under a dilation about the origin with a scale factor of 2 Show your work here 14 12 10 8 6 4 144 12 10 8 6 6 6 8 10 12 13

OP and MN are parallel Select the valid statements used to prove whether APMO is congruent to ANOM Select as many as apply M Show your work here MOOM MN MO P ZNZP 25 ZOMN ZMOP because they are alternate interior angles The triangles are congruent by the AAS criterion The triangles not congruent 25 N O

Determine whether the triangles are congruent Note the triangles are not drawn to scale 8 Congruent 22 28 63 Show your work here 28 8 O Not congruent

Solve for Lc Submit your answer in terms of degrees A B 76

Solve for Za Submit your answer in terms of degrees Show your work here 113 a A B

The two rectangles are similar Find y y 12 ST 5 3

Joyce is building a railroad track that crosses the road at an angle The rails of the track must be parallel The sides of the road are parallel What must be the measure of z 1 124 I

Solve for Zz Submit your answer in terms of degrees 57 A B

Solve for Lc Submit your answer in terms of degrees B Show your work here 63

Are the lines Y and Z parallel The figure may not be drawn to scale Y Z Show your work here 43 137

1 Civil engineering is of immense importance because it plays a crucial role in designing constructing and maintaining the infrastructure that supports society From buildings bridges and roads to dams airports and water supply systems civil engineering ensures the safety functionality and sustainability of our physical environment It contributes to economic growth enhances quality of life and addresses societal needs such as transportation water re

Which name refers to the same line as DB O EA C O P m A Show your work here E B n F P O OF m G D

Solve for x Leave your answer in simplest radical form 2

Find the value of a to the nearest tenth X IC 8

ABCD is a kite so AC 1DB and DE EB Calculate the length of AC to the nearest tenth of a centimeter D 9 cm 8 cm C E 14 cm B

Find the value of x Leave your answer in simplest radical form X 3

b g g h h 41 55 Y 33 8 B a a B Y d

A propery is being transported through a fhuid a steady state through a constant coss sectional area At point the concentration is 278 x 102 amount of property m and 1 50 x 10 at point 2 at adistance of 20 m away Thedificivity depends on concentration as 80150 14651 a Calculate the steady state fua if the two points were separated by 35 m but with the same concentrators How does the flux vary with the distance between the points Calculate the steady state flux if the concentration at point 2 was 150 x 10 amount of property using the nigral disance 2 0 m How does the way with th diference in concentration b

4 Use the given information to determine the remaining five trigonometric values a Sin A 4 4 7 b 7 b tan A 2 1 2 1 2 1 2 1 H A

5 Verify each equation a cos 60 1 2sin 30 b sin 30 1 cos 600 2

2 Let 0 be an acute angle Complete the following table 0 30 45 60 sin 0 COS A tan 0

4 Suppose is an acute angle and cos B find sin and tan Two ways to do this b 4 B 7 OR

Find the values of the six trigonometric functions of 0 adj 8 sin cos tan 0 0 17 hyp a 15 opp csc sec cot 0 a 8 17 a 64 289 a 225 a 15

Write the expression in terms of sine and cosine and simplify so that no quotients appear in the final expression 1 cot 8 1 cot 0 ese20

A property is being transported through a fuil at steady state through a constant cros sectional area at point the concertation is 278 x 10 amount of property and 150 x 10 point 2at a distance of 20 m away The difusity depends on concentration las 0 150 1 65 b a Calculate the steady state for the two points were separated by 35 m but with the same concentrations How does the fux vary with the distance between the points Calculate the steady state fluxif the concentration at point 2 was 150 x 10 amount of property m using the orgina distance 2 0 m How does the fu vary with he diference in concentration

As per the information given in the question Actual Budgeted Units 600 650 Flexible Budget We need to prepare flexible budget for the sales during the month of May In flexible budget rate will be standard rate or budgeted rate and units will be actual units sold So flexible budget Price per unit 800 780 Units 600 Price per unit 780 Actual Quantity 600 units Standard Quantity 650 units Actual price 800 Standard price 780 Sales price variance SQ AP SP Sales volume variance BP AQ BQ Explanation AQ Actual Quantity SQ Standard Quantity AP Actual Price SP Standard Price Sales price variance is positive so it s favorable Sales volume variance is negative so it s unfavorable Final Answer Total Sales C2 B2 B3 C3 Total Sales B2 C2

1 C 27 G C A 38 36 8 B F B 42 d d2 C 63 d d m ABC m CBE m CFE m EFG m BCF 27 m BEF 36 m BDF D 72 E 81

The slope field for the equation for P 0 is shown below dP dt On a sheet of paper sketch the solutions to this slope field that pass through 0 0 1 4 4 1 4 5 1 2 12 and 2 10 For which interval of positive values of P are the solutions increasing Increasing for For what interval of positive values of P are the solutions decreasing P 0 1P 10 P Decreasing for What is the equation of the solution to this differential equation that passes through 0 0 If the solution passes through a value of P 0 what is lim P t t 00

Description Common Shares Contibuted Surplus Recained Eamnings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable

Description Common Shares Contibuted Surplus Recained Eamnings Cash Debit Earnings Per Share Revenue Debt to Equity Ratio 5 040 000 545 000 7 015 000 Credit 12 600 000 Place only one T in each row below indicating the impact of the share reacquisition journal entry on the following financial statement metrics Positive Negative Not No Impact Determinable

Kayak Company budgeted the following cash receipts excluding cash receipts from loans received and cash payments excluding cash payments for loan principal and interest payments for the first three months of next year January February March Cash Receipts Cash payments 516 000 462 800 406 000 467 000 352 800 533 000 Kayak requires a minimum cash balance of 40 000 at each month end Loans taken to meet this requirement charge 1 interest per month paid at each month end The interest is computed based on the beginning balance of the loan for the month Any preliminary cash balance above 40 000 is used to repay loans at month end The company has a cash balance of 40 000 and a loan balance of 80 000 at January 1 Prepare monthly cash budgets for January February and March Note Negative balances and Loan repayment amounts if any should be indicated with minus sign Beginning cash balance Total cash available Total cash payments KAYAK COMPANY Cash Budget January 40 000 February March

1 40 Find the equation for the parabola that has its vertex at the origin and has directrix at x The equation is

Find the equation for the parabola that has its vertex at the origin and has directrix at y The equation is 1 28

Company A is a global company based in the United States that operates in the financial industry Company A serves its customers with financial products such as checking accounts bank cards and investment products Company A has recently acquired Company B and needs to integrate with or remove similar capabilities and tools from Company B Company B is smaller in size has no dedicated cybersecurity professional role and utilizes third party support for infrastructure needs Company B offers specialized software to medical providers and accepts credit cards as a payment option The executives of the r company have expressed interest in