Coordinate system Questions and Answers

Exercises 1 3 5 7 9 7 Suppose that each of the bases of the hexagonal prism in Exercise 1 has an area of 12 cm and that each lateral face h

2 Draw the altitude of the triangle from vertex A O O B B B C OPTIC B B

6 Which of the following could the segment AB NOT be B O Perpendicular Bisector O Angle Bisector O Median Altitude Mid Segment

Shelby invests 300 in a bank account that earns a fixed 4 interest compounded annually The amount in the account after t years is given by f t 300 1 04 Graph this function on your calculator in an appropriate window Label each axis use an appropriate scale and label three points on the graph 3pt Please select file s Select file s Does f t have an inverse function Explain why using the graph 1pt Pick and write down one ordered pair of the inverse function and give its practical

A railroad bridge is built over a V shaped canyon If the supports are 2 feet long at each end the center support is 518 feet long and the supports increase in length by 4 feet with each support from 2 feet to 518 feet what is the total length of all the supports 67 078 ft O 67 082 ft 67 080 ft O 67 086 ft

Solve the problem A forest ranger at Lookout A sights a fire at a bearing N35 W of her position Another ranger at Lookout B exactly 2 kilometers directly west of A sights t same fire at a bearing of N41 E How far is the fire from Lookout A Round your answer to the nearest 0 01 km O 1 35 km O 1 18 km O 1 56 km O 1 69 km

4 Identify Each Triangle by Side and by Angle Relations 42 3 AAE 4 VA A12 47 A11 A9 44 A10 A5 A1 A6 2 48 A3 10 12 a Equilateral b Isosceles Right c Acute isosceles d Obtuse Scalene e Obtuse Isosceles

11 Find the measures of x and y X y X 70 degrees degrees

2 Find the area of the following figure 13 yds A 12 yds yd 27 yds 27 yds 13 yds

When 6x 2 36x 32 is divided by a polynomial the quotient is 6x 6 and the remainder is 2 find the polynomial

Write an equation that describes the following relationship y varies inversely as the cube root of x and when x 64 y 7 Y

S1 www analyzemath com 2 If the lenght of S2 is 80 feet find the radius of the circle Radius 2 feet 3 Find the Circumference of the circle

Write the vector in the form a b op 6 o 2 2 60 00 X

Write any fractions like this 5 2pi Here is the grapmorld sin wave High T Low B 2 High value 3 Low value 4 New Period Length 5 1 4 of Period 6 Value of interval A D the function y 2sin1 2 x 2pi 1 1 Origin horizontal vertical e g pi 2 E Given

1 Given sin A and cos B a Find the exact value of 1 cos A 7 and both A and B are in the Q1 2 sin B 1 5 points each b Using the values from above use a sum or difference identity to find the exact value of 3 points each 1 sin A B 2 cos A B

Using data and projections from 1950 to 2050 the number of women age 16 years and older in millions in a particular country s civilian labor can be modeled by the following where x is the number of years after 1950 y 0 00009x 0 00636x 1 043x 17 389 Use the model and a graphing utility to estimate when the number of women in the labor force reached 84 million The model projects the civilian labor force to be 84 million in Round up to the nearest year

The lot in the figure shown except for the house shed and driveway is lawn One bag of lawn fertilizer costs 15 00 and covers 5 000 square feet Use this figure to complete parts a and b below Note that the figure may not be to scale a Determine the minimum number of bags of fertilizer needed for the lawn 50 40 ft Drive House 2001 400 11 St

hel 7 Since B is split by a line we must add the two parts of the angle together x 26 x 2 x3x Angle B x 3x 4x Angle A 2x 4 10 Find A B C by plugging in your answer from the last question in for x Angle B x 3x degrees degrees

Question 3 A building in the shape of a square pyramid is washed for decoration The outside of the building is washed using one gallon of cleaning solution for each 100 square feet of surface The slant height of the pyramid is 125 ft Calculate the approximate number of gallons needed to wash the building if 50 ft is the side length of the base 84 O 125 O 150 Points 3 158

Lesson Posttest Question 6 Points 1 What is the surface area of a sphere with a radius of 8 cm O 125 85 cm O 186 5 cm O 804 57 cm O 757 6 cm

Question 7 Points 3 How much glass in square cm is needed for an aquarium without a glass lid that is 100 cm deep 400 cm long and 200 cm wide O 140 000 O 200 000 O 280 000 O 340 000

Express 14 0 1 3 2 3 2 X X x x x 2 2 in the form x What is the value of s O None of these are correct

12 20 8 Explain why the altitude of this triangle is outside of the figure Under what conditions would the altitude be inside or on the side of the triangl

4 Find the area of the triangle The units are in km Area 5 10 km

the system of linear equations ora y and z We get Number y Number z Number 5x 4y 3z 3 5x 5y 3 z 2 5x 4y z 3

Points 3 Question 5 The vertices A 2 3 B 4 10 and C 5 3 form a triangle Find the sides of the triangle O 75 85 and 90 O 80 85 and 90 80 90 and 100 85 85 and 170 Complete Later Complete

Use the given information to prove that QR TR Q P R T Given QT bisects PS PQ ST Prove QR TR Statement S Send To Proof Send To Proof Send To Proof Reason

Use the given information to prove that ARUSATUS R U T Statement S Given RS ST SU bisects RST Prove ARUSATUS Reason Reason Send To Proof Send To Proof Send To Proof

The circle below has center D Suppose that mLBDC 128 Find the following B D A C a b m BAC m BC 0 O O

population of the Canada P t in millions since January 1 1900 can be approximated by P t 55 3 1 9 8e 0 025127 where t is the number of years since January 1 1900 Population millions Part 0 6 Part 1 of 6 60 50 40 30 20 10 0 0 Canadian Population by Year y P t 150 200 250 300 50 100 Year t 0 represents 1900 a Evaluate P 0 round to the nearest tenth of a million and interpret its meaning in the context of this problem

The populations of two countries are given for January 1 2000 and for January 1 2010 Part 0 3 Part 1 of 3 kt a Write a function of the form P t Poe to model each population P 1 in millions I years after January 1 2000 Round the value of k to five decimal places Country Population in 2000 millions 19 0 Australia Taiwan 22 9 Population in 2010 millions 22 6 23 7 P t Poet P t 1 P t X

Line a intersects two vertices Line b bisects each side it passes through Point P is the center of the rectangle a P Which transformation s must map the rectangle exactly onto itself Choose all that apply Clockwise rotation about P by 180 Counterclockwise rotation about P by 90 Reflection across line b Reflection across line a None of the above

Find the measures of angles 1 through 5 in the figure shown m21 m22 m23 m24

The figure shows a 650 foot tower on the side of a hill that forms a 7 angle with the horizontal Find the length of each of the two guy wires that are anchored 70 feet uphill and downhill from the tower s base and extend to the top of the tower

Compute the singular value decomposition for A 1 5 2 5 1 1

Laurel is making a benner shaped ke atrapemid The height of the banner is 3 feet and the hoses are and 5 feet what is the area of the banueet 50 It

E 9 once 12 15 F A Segment EH B Segment EF C Segment HG D ZH K Using the figure above match the segments and angles with theirs most accurate description Some descriptions may be used more than G

Using the Three Dimensional Coordinate System In Exercises 13 14 15 16 17 18 19 20 21 22 23 and 24 determine the location of a point x y z that satisfies the condition s 13 z 1

Classifying a Triangle In Exercises 29 30 31 and 32 find the lengths of the sides of the triangle with the indicated vertices and determine whether the triangle is a right triangle an isosceles triangle or neither 29 0 0 4 2 6 7 6 4 8 Answer 7 7 5 14 Right triangle 30 3 4 1 0 6 2 3 5 6 31 1 0 2 1 5 2 3 1 1 Answer 41 41 14 Isosceles triangle

Question 7 Find the coordinates of the point that divides the line segment joining the points 3 3 and 8 8 in the ratio 1 4 O 5 5 O 4 4 O 6 6 Points 3 O 7 7

Question 10 Points 2 Find the point dividing the line segment joining the points 0 0 and 7 7 in the ratio 2 5 O 2 2 O 2 2 O 2 2 O 2 2

son Posttest Question 1 Points 3 Find the coordinates of the point which divides the line segment joining the points 1 3 and 8 4 in the ratio 4 3 O 5 1 O 1 5 O 5 1 O 1 5

esson Postt Question 3 Points 2 Find the midpoint of the line segment joining the points 2 1 and 9 2 0 1 0 2 3 O 11 2 0 2 2 3

Question 2 Points 2 Which of the following lines is parallel to the given line 8 7 5 4 3 2 1 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 O y 10x 2 66459 3 4 5 6 7 8 9 O y 4 5x 9 Oy 4 5x 10 y 10x 45 O y 10x 9

hts 2 Write an equation of a line that is perpendicular to 4x 2y 3 and passes through the point 2 1 O y 2x 2 O y 2x 2 O y x 2 O y 2x 4

Points 2 Find the equation of the line that is perpendicular to y 5 x 1 and passes through 10 2 91 186 8 B 7 6 99 5 2 2 3 4 5 6 7 8 9 9 8 7 6 5 4 3 214 123456789 2 3 4 5 6 7 8 9 O X 2 5y 2 O x 5y 20 O x 5y 0 y 5x 5 X 1

Points 1 Find the equation of a line perpendicular to y 15 x 1 and has a y intercept of 1 O y 5x 6 O 6y 5x 6 O 6y 5x 6 O y 5x 6

Write an equation of a line that is parallel to y 8x 4 and passes through the point 6 2 O y 8x 46 O y 8x 46 O x 8y 46 O y 13x 55

What polygon can be formed by using the points A 1 1 B 10 1 and C 5 5 Find the distance between A and B O Triangle 9 units Rectangle 10 units O Square 9 units O Triangle 10 units

What is the length of AD in rectangle ABCD S 2 O 4 units O 3 units O 5 units A 2 5 B