Geometry Questions

Martina is planning to texture coat a building whose dimensions are shown below The front of the building has a window measuring 4 ft by 30 in and a door measuring 40 in by 6 ft The left and right sides of the building each have a window measuring 20 ft by 4 ft The back of the building has no window or door Use the given information to answer the questions Each tab shows a different view of the building a Assuming the roof windows and door require no texture coat what is the area in square feet that needs texture coat Do not round any intermediate computations and give your answer as a whole number ft Conversion facts for length 1 foot ft 12 inches 1 yard yd 1 yard yd 36 QUECER ght view00000 b Martina will use texture coat that is sold in cans Each can contains enough texture coat to cover 130 ft Assume Martina doesn t have any texture coat yet and she can t buy partial cans How many cans will she need to buy in order to texture coat the building cans c If each can costs 12 50 how much will Martina need to spend on texture coat 3 feet 18 ft in Back left view 10 ft 28 ft

A biking track has a length of 0 35 miles mi How long is this in feet 1 P First fill in the blank on the left side of the equation using one of the ratios Then write your answer on the right side of the equation Ratios 1 mi 1760 yd 0 35 mi 1760 yd 1 mi 1 yd 36 in 36 in 1 yd 5280 A 1 mi 5280 A 00000000000 yd E In 00000000000 mi

Tom wants to plant grass in his backyard His backyard is in the shape of a rectangle Its length is 27 feet and its width is 26 feet Suppose each pack of seed covers 13 square feet How many packs of seed will he need to cover the backyard packs

Milan is ordering 3 bags of cat food from Canada Each bag has a mass of 5 kg To determine the shipping costs Milan needs to ow the total weigh pounds What is the weight of the cat food in pounds Use 1 kg 2 2 lb and do not round any computations lb X 00000

A board is 29 inches long How long is the board in centimeters Use the following conversion 1 inch is 2 54 centim cm X

Use the diagram to answer the following question EQ b QE Z What is another name for EQ a O A OB O C OD te C NE d NQ

Find the value of the variable and YZ if Y is between X and Z XY 2c 1 YZ 6c and XZ 81 Just find the length of YZ

Find the distance between the pair of points shown below Round your answer to the nearest tenth if necessary 09 2 6 07 1 O2 9

m 1 and m 3 m 2 and m 3 m 4 and m 5 m 5 and m 8 IIII I I

The endpoints of GH are a 6 2 b 6 6 O A OB OC OD G 0 4 and H 6 2 Find the coordinates of the midpoint M C c 3 1 d 3 3 C C 5

A 1 15kg ball is connected by means of two massless strings to a vertical rotating rod The strings are tied to the rod and form two sides of an equilateral triangle The tension in the upper string is 55 8N String length L Rotating rod If the length of each string is 1 63m what is the tension in the lower string Submit Answer Tries 0 10 od of the ball

uno DA C If BC bisects LABD and mLABC 51 find mLABD and mZCBD B m ABD m CBD

oundations of G figure below is a rectangular shipping box Name two different planes B D E G H A plane CDA plane CDG plane AED plane BEF one CDG plane AED CDA plane BEF

Find the length of segment XY X nswer 6 6 Z 12

2 The Great Pyramid outside Cairo Egypt has a square base measuring 756 feet on a side and a height of 480 feet a 3 pts What is the volume of the Great Pyramid in cubic yards Work 2 pts Replace these words with a cropped picture of your work for question 2a only Answer 0 5 pt Reasoning Explanation 0 5 pt X b 2 pts The stones used to build the Great Pyramid were limestone blocks with an average volume of 1 5 cubic yards Assuming a solid pyramid how many of these blocks were needed to construct the Great Pyramid

You must use the conversion factors provided below when solving these problems 1 yd 3 feet 36 inches 1 ft 12 inches 1 mile 5280 ft Answer 1 pt Conversion Factors 1 m 100 cm 1000 mm 1 km 1000 m 1 mile 1 6 km 1 yd 0 9 m 1 in 2 54 cm 1 lb 0 45 km 1 5 pts A rectangular swimming pool measures 14 feet by 30 feet The pool is surrounded on all four sides by a path that is 3 feet wide If the cost to resurface the path is 2 per square foot what is the total cost of resurfacing the path Work 3 pts I Replace these words with a cropped picture of your work for question 1 only

Question 8 of 12 O O 20 15 Which statement is true about this regression By f 66 By f 66 Population in Thousands 40 f x 2 28e 5 0 04 0 85 Number of Years Since 1900 45 50 55 60 65 2018 WGU Powered by GeoGebra By f 66 31 95 it can be estimated that the city had approximately 31 950 residents in 1966 This is an extrapolation By f 66 33 1 it can be estimated that the city had approximately 33 100 residents in 1966 This is an extrapolation 33 1 it can be estimated that the city had approximately 33 100 residents in 1966 This is an interpolation 310

Given the figure below find the values of x and z 12x 59 13x 57

A rectangular box meets the following criteria All lengths are measured in feet The length is twice as long as the width The height is 1 foot shorter than the length The volume of the box is 147 ft Find the dimensions of the box width W length L height H feet feet feet

Assume t is defined for all time Enter the letter of the graph below which corresponds to the curve traced by the parametric equations Think about the range of x and y and whether there is periodicity and or symmetry 1 x 6 cos t cos 4 5t y 6 sin t 2 x sin t 3 2 sin t 3 x cos t y sin t 1 t 4 x sin t sin 7t y cos t 5 x t sin 5t y t cos 5t A sin 4 5t y cos t 3 2 sin t B C D E

The following parametric equations trace out a loop Find the t values at which the curve intersects itself t Find the x and y values of the intersection Y 8 t y 4t 2 Graph the curve on a calculator Turn in a sketch of the curve

Certain positive angles are marked in the given figure Find the corresponding radian or degrees measures 60 3 radians C Simplify your answer Type an exact answer using x as needed Use integers or fractions for any numbers in the expression 2x radians 120 3 Simplify your answer Do not include the degree symbol in your answer 3x radians 135 4 Simplify your answer Do not include the degree symbol in your answer 5x 150 radians 6 Simplify your answer Type an exact answer using x as needed Use integers or fractions for any numbers in the expression 180 radians Simplify your answer Type an exact answer using a as needed Use integers or fractions for any numbers in the expression 210 radians 7x 6 Simplify your answer Type an exact answer using x as needed Use integers or fractions for any numbers in the expression 225 radians implify your answer Type an exact answer using as needed Use integers or fractions for any 3x 4 2x 3 radians radians 150 180 210 225 Points 0 54 of 1 3 radians 3x 2 90 2 radians 60 4 radians 270 5x 3 radians 30 10 0 radians 330 315 radians O Q S

The length and width of a 6 inch by 8 inch photograph are reduced by the same amount to make a new photograph with area that is half that of the original By how many inches will the dimensions of the photograph have to be reduced Which equation can be used to solve the problem O x 6 x 8 24 O 6 x 8 x 24 O 6 x 8 x 96 O x 6 x 8 48

DEH is adjacent to HEG DEG IS 106 And LHEGIS 55 Find the measure of DEH

approximation to three decimal places b 1 c 24 The exact value of a is The exact value of b is The exact value of c is G C 100002 20 b C 720 API

Activity In this activity you will use the GeoGebra geometry tool to explore the side side side criterion for triangle congruence If you need help watch these short videos about using GeoGebra to measure and create points lines and angles C Part A Create a triangle using the vertices A 4 3 B S 2 and C 2 6 Measure the lengths of all three sides on the triangle using the distance tool and record them in the table BIY X X 14pt Bwww Side Length AB BC AC Space used includes formatting 560 15000 EFFE Part B Keep the triangle that you created in part A You will now copy the triangle to a different location on the grid using three of its sides Submit In a different place on the grid draw a new line segment that is parallel to and has the same length as AB Label this segment DD Next copy AC and BC A reliable way to do this is to draw a circle centered on each endpoint of your new line segment Make the radius of each circle equal to each of the lengths of the two remaining line segments on the original triangle One of the intersection points of the two circles marks the third vertex of your new triangle Place a point on the intersection and label the point F Finish copying the triangle by drawing a polygon through the three points that you ve established BIY X X 15px You should now have two triangles on the grid What do you notice about the two triangles in terms of their size and shape V AVA EF a 8

Draw a dilation of the figure using the given scale factor 15 k 2 C 2 y A B 16 k C AY B

Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement Then find its scale factor 5 7 A A VBI y B k x y k H SIA 6 8 A 6 B y A k B 6 x k the dile

A line segment has the given endpoints Use the scale factor to write the ordered pairs after the dilation 12 A 1 1 B 3 1 and k 2 13 A 4 4 B 8 12 and k 14 A 0 0 B 3 2 and k 5

Point A is a vertex of a polygon Point R is the image of A after the dilation Find the scale factor of the dilation 11 A 2 3 and R 10 15 9 A 3 4 and R 9 12 10 A 9 12 and R 6 8

Name Dilations Worksheet State whether a dilation with the given scale factor is a reduction or an enlargement 1 k 3 2 k 1 3 N 3 k 5 4 4 k 0 93

In a plane if two lines are perpendicular to the same line then they are parallel to each other Show that this is true by completing a two column proof Given 11n min Prove 1 m Statements In min 2 and c6 are right angles 42 90 M46 90 M M 6 Reasons 1 Given 2 Def of perp line I Def of right angles Def of congruent s 5 Converse of corresponding 25 thm 12 43

Question 14 Find the point at which the line f x x 6 intersects the line g x Question Help Video Message instructor 3x 6

3 A rectangular nuclear waste holding facility is 100m long by 70m wide A safety zone of 8 a uniform width must be built around the entire facility Determine the width of the strip of land if the area of the facility and the strip is 90 000m Round your answer to 2 decimal places if necessary Area 90000 m laws A 70 2x 100 2x s 9000 00 140x 200x 4x 90000 occu 90m loom 4 er

2 What are the value s of k that makes the parabola y x kx 10 and the line y 3x 1 have one point of intersection

C What is an equation of the line that passes through the point 4 4 and is perpendicular to the line 4x 5y 10 Question O Watch Video

D A y f x 2 y f x 1 3 y f x 1 3 y f x 2 y f x 1 3 used B E C F

For the symetric truss shown below note the sketch is not to scale determine the size of angle to three sig figs and the length of web member AB to the nearest whole inch a B DEGREES B 5 ft 1 in E 2 7 ft 8 in D 4 ft 3 in

What is the area of this figure 11 mi 4 mi square miles 5 mi 3 mi 8 mi 6 mi 5 mi Write your answer using decimals if necessary 7 m

Writing Equations of Lines Write the slope intercept form of the equation of each line 1 1 2 2 3 A y x 2 y x 2 D y x 2 A y 4x y x 4 B y D ya 4r Write the point slope foral of the equation of the line described perp perpendicular 3 through 2 4 parallel to y 3 3 4 A y 4 3 x 2 B y 4 3 x 2 C y 2 3 x 4 D y 2 3 x 4 4 through 1 4 parallel tox 0 A y 4 3 x 1 B y 1 3 x 4 C 0 x 1 D y 4 0

Find all of the angles of rotation including 360 for a regular decagon a ten sided polygon KA T U sans serif www

DECORATING Camilla made a collage with pictures of her trip to Europe She wants to hang the collage from the ceiling in her room so that it is parallel to the ceiling She draws a model of the collage on a coordinate plane At what point should she place the string 987654 32 2 1 y 0 8 0 0 3 4 O12345678

12 and CF 18 Find each measure In A4BC Hier AufBU 5 CU UF 6 AD 8 BE A E C 16 H LL F D 12

90 1 1445 2 35 95 6 4 7 38

Match the following equations with their direction field Clicking on each picture will give you an enlarged view While you can probably solve this problem by guessing it is useful to try to predict characteristics of the direction field and then match them to the picture Here are some handy characteristics to start with you will develop more as you practice A Set y equal to zero and look at how the derivative behaves along the z axis B Do the same for the y axis by setting equal to 0 C Consider the curve in the plane defined by setting y 0 this should correspond to the points in the picture where the slope is zero D Setting y equal to a constant other than zero gives the curve of points where the slope is that constant These are called isoclines and can be used to construct the direction field picture by hand 1 g 2 2 y 2 2y z e 2x y 3 g 2y 4 g y 2 11 11

Find an angle with 0 0 2 that has the same 12 11 Sine as 0 35x 22 T

olem 5 Suppose that a species of fish in thousands is modeled by t 10 F t 0 5t2 1 120 where t is measured in years after 2000 a What is the initial population b Find F 10 and interpret its meaning c Find all horizontal asymptotes of F t if any d Sketch the graph of the function F t Label and appropriately scale the axes to include the ent graph e Evaluate the average rate of change of F t from 2004 to 2006 Interpret the meaning of y answer and include appropriate units f As time increases describe what happens to the fish population

What are the values of x y and z to 66 45 30 430 Jo 20 119

The Jacksons have contracted with a realtor to sell their home It is a 2 story home measuring 34 feet by 54 feet on each floor The realtor has determined that the average price per square foot for comparable houses is 81 Calculate the square footage of the Jackson s home square feet Calculate the current fair market value of their home

4 Label this shape LMNP Translate it x 1 y 2 Write the coordinates below L M N P L M N P 5 Label this shape QRS Rotate it 90 clockwise about the origin Write the coordinates below Q Q R R S S 6 Label this shape TUVW Dilate it x y 1 5x 1 5y Write the coordinates below T U V W T U V W