Area Questions and Answers

13 ASRT ACBD S 70 T 11 x 4 R D 50 B 60 C 14 I 72 J 27 4 4x U L 36 96

The Vaughns make 58 000 a year and live in Florida which has a median annual income of 47 778 If their monthly expenses amount to 4600 per month do they qualify for Chapter 7 bankruptcy OA Yes the Vaughns qualify because their yearly income is above the median annual income of Florida The means test is irrelevant in this case B Yes the Vaughns qualify because their yearly income is above the median annual income of Florida They are eligible according to the means test O C C No the Vaughns do not qualify because their yearly income is above the median annual income of Florida They are ineligible according to the means test

Solve for 2 Round to the nearest tenth if necessary X 64 70 H

Find the exact value of tan C in simplest form 3 B C V21 V30

The law of cosines is a b 2abcosC c Find the value of 2abcosC 2 12 A B 1 OA 3 5 OB 7 O C 7 D 25

Suppose you invest 63 a month in an annuity that earns a 3 3 compounded monthly How much money will you have in this account after 4 years OA 3227 93 OB 3043 63 C 3024 00 D 3025 96

The most Bo can afford to pay per year in mortgage payments is 10 500 and his credit score is currently 544 According to the following table for a 150 000 mortgage by how many points would he need to improve his credit score in order to take a mortgage for 150 000 OA 156 points FICO Score 720 850 700 719 675 699 620 6 560 619 500 559 Monthly Payment Interest Rate 5 59 860 5 71 872 6 25 924 7 40 1 039 8 53 1 157 9 29 1 238

Hunter decides to invest 840 000 in a period annuity that earns a 4 2 AF compounded monthly for a period of 30 years How much money will Hun be paid each month O A 5179 19 O B 4527 12 C 4107 74 D 6297 90

or 14 AB is translated along the vector to produce A B What is the most precise name for quadrilateral ABB A A E the transformation Then write a sentence to justify your answer 2 points each 15 CD is reflected over Line m to produce C D What is the most precise name for quadrilateral CDD C m Wang Tuey 16 EF is rotated about Point F by x to produce E F Classify AEFE by the length of its sides

The crankshaft in a race car goes from rest to w in time seconds a What is the crankshaft s angular acceleration b If w 3000 rpm and t 2 0s How many revolutions does it make while reaching 3000 rpm T Upload files Supported file formats PDF JPG GIF PNG CSV RTF TXT XPS ZIP Word Excel Powerpoint Publisher Open Office Video MATI AR Quartua Vorilo SUSY CRD

7 9 6 12 8 14 8 y 1 6 Find value For cach variable X 3 10 10 16 y 1 20 y 4 x 2 8 12 10 J 8 1 10 x 3 x 2 16 y 1 15 10 y 3

Convert a speed of 105 mi h to units of feet per minute Also show the unit analysis by dragging components into the nit factor slots 105 mi 1h 60 s 1 ft X 60 h Answer Bank 1h 3 ft 1 min 12 in 60 min 1 mi 5280 ft II ft min

Explain what is meant by the statement cos 0 9 25 84

7 AGHI has vertices G 0 20 H 16 24 and I 12 12 What are the vertices of the image after a dilation with 3 a scale factor of using the origin as the center of dilation 4

etry 23 Hanna Anguiano CA Geometry B Illuminate Credit 1 pdf 5 ABCD is a parallelogram Determine whether each statement must be true Select the correct answer for each lettered part A The perimeter of ABCD is 2AB 2BC B DE DB C BC DC D ZDAC ZBCA E AAED ACEB F ZDAC ZBAC O Yes O No O Yes O No O Yes O No O Yes O No O Yes O No O Yes O No A 100 I Optional Complete problems 6 7 10 13 17 18 24 from your textbook on separate lined paper for extra practice When you are finished check the odd problems for solutions at the back of the textbook 11

try 23 Hanna Anguiano CA Geometry B Illuminate Credit 1 pdf 3 2 a 2 4 and b 9 7a 106 16 9b 25 x 6 and y 3 5 2x 2 6y 1 M 20 12 8y 6 4x 10 I

nit 1 Quadratics choose option A or B Option A 1 Design an experiment to collect data that can be modeled as a parabola 2 Graph the data you obtain from your experiment 3 Determine the equation that best fits the data and graph that as well 4 State the following information based on your graph a the roots b the axis of symmetry c the optimal value

4 7 5 11 X 3 5 3 5 x 2 6 6 7 8 6 x 3

HW 1 What is the ratio equivalent of sin C 34 A C 30 28 Complete problems 1 8 below for independent practice 40 3 What is the ratio equivalent of cos A Hint use the Pythagorean theorem to find the missing side B 8 m When you are finished check the solutions with your teacher 21 16 5 The diagram below represents a ladder leaning on the side of a wall The ladder is 28ft long and the height of the wall reaches 21ft What is the angle between the ladder and the ground 96 B 9 A 7 Find the area of the following triangle 7 m 2 What is the ratio equivalent of cos Z 36 39 35 0 B 4 What is the ratio equivalent of tan C Hint use the Pythagorean theorem to find the missing side 28 139 Y 15 Z A 6 Create a diagram of a ladder leaning on the side of a wall The wall is 16ft tall and the ladder is 18 ft long What is the angle between the ladder and the ground 7 mi 63 8 Find the area of the following triangle 4 mi Optional Complete problems 1 3 5 9 11 from your textbook on separate lined paper When you are finished check the odd problems for solutions at the back of the textbook Grometry A 2020 Page 142

7 Throughout this question leave all answers as exact expressions in terms of it and 2n square roots for example 2 n 3 or etc In the diagram below the circle centred at O has radius 3cm The curved line AOC is part of a circle also of radius 3cm centred at D OD is perpendicular to AC a Calculate the length AB DIAGRAM 1 b Calculate the area of triangle AOC A B D c Calculate the area of sector OADC in diagram 1 indicated for refere 2 below DIAGRAM 2 B A d Calculate the shaded area indicated in diagram 1 D 1

12 x ka t r What is x A 13 y D 16 X 12 ekilde verilen 5x5 lik kareye 1 den 25 e kadar say lar birer kez kullan larak yerle tirildi inde her sat r ve s tu nun top The total of every row and column is equal when the numbers to 25 from 1 are placed into 5x5 square in the figure given by used once N B 14 E 17 C 15

Find the value of x 84

Calculate the surface area of to volume ratio for the following two spherical cells Cell A r 3 cm Cell B r 7 cm Show your work Length of Sides cm Surface Area cm Volume cm SA V Ratio RELEVANT EQUATIONS r radius length h height w width s length of one side of a cube Volume of a Sphere V 4 3 r

4 7 ft 34 ft 10 ft 27 ft 19 ft 11

Assignment 5 17 points Given is the following optimization problem max 5x1 3x2 S t X1 12 10 01 2x2 36 3x1 x2 24 21 12 0 5 a Solve this problem graphically Draw the constraints and objective shade the region of feasible solutions and find an optimal solution by moving a ruler parallel to the objective function b Find an optimal solution using the two phase Simplex method When several variables could enter of leave the basis always select the one with the smallest index

D 13 Given the following parallelpiped state whether each of the following statements is true or false Explain a HC HG GC b AE EH HD CB E

8 Find the area of the region inside r 4 sin but outside r 2

5 A force of F pounds is required to pull an object weighing W pounds up a ramp inclined at 0 degrees from the horizonta Find 0 if F 5 100 pounds and W 14 000 lb Approximate the answer to one decimal place 21 4 22 4 23 4 20 4 19 4

17 At what angle A shown below should the support for 0 5000 5 75 4 2 9375 6 5 A 3 0625

In the figure below a 9 b 11 and d 13 Use this information to solve the parallelogram for x The diagonals of the parallelogram are represented by c and d Round your answer to two decimal places X b a 8 ficuno no drawn to gaala

21 In Triangle PQR if PR is extended through R to T If QPR 3x 6 and PQR 2x 6 and QRT 150 degrees Find the value of x

Q13 Which of the following operations is NOT closed under polynomials a Addition b Subtraction c Multiplication d Division

7 Triangle A B C is the image of ABC after a dilation centered at the origin The coordinates of the vertices of ABC are A 2 1 B 2 4 and C 2 3 C If the coordinates of A are 4 2 the coordinates of B are a 8 4 b 4 8 c 4 6 d 1 2

In 12 13 Find the indicated information drawings are not to scale 12 13 1429 9x 5 12r 26 8x 2 Find the length of each side

A spinner with 6 equal sections is shown B C 6 23 5 1 What is the probability of spinning a number greater than 4 2 3

Your Turn Find the unknown side lengths in each right triangle 3 1 30 4 3 60 2 4 P a 45 45 2 6 m 45

10 answer question 8 Figure Shifts of the ADAS Curves Panel a Price level P2 P Price level P P Y Y Real GDP AD SRAS Y Y Real GDP Panel c SRAS SRAS AD A Panel a B Panel b C Panel c DY Ronal d AD Price level P P Price level P P Y Panel b AD Y Y Real GDP Panel d SRAS SRAS Y Real GDP AD SRAS AD 8 Figure Shifts of the AD AS Curves In the short run a decrease in investment is illustrated by

18 Using monetary policy to address a recessionary gap created by a supply shock involves to A decreasing the amount of money in circulation lower the aggregate price level B increasing interest rates decrease investment spending C decreasing interest rates lower the aggregate price level D increasing the amount of money in circulation lower the unemployment rate

X 1 Solve for x for 2 of the followi 370 63

1 In the following diagram A f h B g C ABC is a triangle Given that B 105 ZC 43 and h 13cm a By using sine rule find the length of f b By using cosine rule find the length of g c Find the area of triangle ABC 3 marks 3 marks 3 marks

Sketch the region enclosed by the given curves 5 5 10 y 10 5 TEACHER y 7 cos x y 7 7 cos x 0 x T 0 5 10 1 5 2 0 2 5 3 0 0 5 1 0 1 5 2 0 Find the area of the region 2 5 3 0 ANOTHER X X 5 10 10 5 5 10 U S 1 0 0 5 1 0 1 5 2 0 2 5 3 0 2 0 2 5 3 0 X X Q

3 Find the coordinates of the centroids of the given figure Assume the region is covered by a thin flat plate The region bounded by y x x 2 and the x axis

A 25 foot ladder is set against the side of a house so that it reaches up 15 feet If Camden grabs the ladder at its base and pulls it 3 feet farther from the house how far up the side of the house will the ladder reach now The answer is not 12 ft Round to the nearest tenth of a foot

Classify the graph of the equation as a circle a parabola an ellipse or a hyperbola x2 9x 2y 69 0 O circle O parabola O ellipse O hyperbola

A Given ED bisects ZAEF AAEF is isosceles Prove AD FD D E F Statement Reason

3 1289 X y

5 AACE AMON ZA ZN 20 AC ON EA

A des are congruent Lesson 7 2 Checkpoint Once you have completed the above problems and checked your solutions complete the Lesson Checkpoint Complete the Lesson Reflection above by circling your current understanding of the Learning Goal below 4x 2 1 Look at the isosceles triangle below Determine which of the following angle measures are correct Select two that apply B 7x 34 74 T C Starting D S DA B C D 2 In the figure below LRQT and LRST are bisected forming isosceles triangle QRS and QTS What is the value of LRSQ R m BCA 58 mzBCD 58 m2DCB 122 mZBAC 48

Question 13 of 13 The table below gives the number of calories burned per minute B f w s for someone roller blading as a function of the person s weight w and speed s The number of calories w s The number of calories 120 lbs 140 lbs 160 lbs 180 lbs 200 lbs 9 mph 11 mph 13 mph 15 mph by about i 7 1 by about i 8 3 9 5 10 7 11 9 9 3 10 9 12 4 14 0 15 6 11 7 13 7 15 6 17 6 19 5 13 3 15 6 a Is fe positive or negative Is f positive or negative What do your answers tell us about the effect of weight and speed on calories burned per minute fuis positive C f is positive A heavier person will burn more calories per minute while roller blading than a lighter person as the speed goes up The number of calories burned per minute while roller blading goes up b Estimate f 160 11 and f 160 11 Interpret your answers fe 160 11 160 11 17 8 20 0 22 2 if the weight is increased by 1 pound if the speed is increased by 1 mph SUP

TOS 5 ddo 87 Wyp O ASA Your Turn 1 OASA O ASA hyr tan O AAS O AAS Write whether the AAS Congruence Theorem the ASA Congruence Theorem or neither can be used to prove whether each pair of triangles are congruent O AAS a quis O Neither ONeither O Neither 6 0 6 2 4 O ASA O ASA O ASA U O AAS O AAS O AAS O Neither O Neither W X ONeither