Area Questions and Answers

15 One litre of latex paint covers approximately 8 5 m and costs 12 a Copy and complete this table Volume of Paint p L Cost c 0 24 Area Covered A m 0 17 0 2468 b Graph the area covered as a function of the volume of paint c Graph the area covered as a function of the cost d Write the domain and range of the functions in parts b and c

Find the slope of the curve below at the given points Sketch the curve along with its tangent lines at these points R r 9 9 cos 0 0 2 T The slope at the point 0 2 Simplify your answer is www

A right circular cone has a radius of 2x 4 and a height 5 units less than its radius Express the volume of the cone as a polynomial function The volume of a cone is Vr h for radius r and height h Enter as pi help formulas V x

A rectangle has a length of 12 units and a width of 6 units Squares of x by x units are cut out of each corner and then the sides are folded up to create an open box Express the volume of the box as a polynomial function in terms of x f x help formulas

In ANOP T is the centroid If TQ 6 find PT O Q N R T S P

Answer Attempt 1 out of 5 Equilateral O Isosceles Acute Scalene Acute D Isosceles Right 43 4 6 7 85 102 C 5 49 35 B Isosceles Obtuse O Scalene Obtuse O Scalene Right S

What type of reasoning is used in the story below Is it poor or strong logic Why Dan noticed that each of the four times he ate a hamburger and shake at the Fast Food Emporium he got a poor grade on a Spanish test that day He conjectures that he should eat only Mexican food on the day of a Spanish test

U What is the value of x 3 B 5 12 T S 3x 20 cm

16 What is the one remaining type of transformation that is not on this test page Is that remaining type of transformation rigid or non rigid

1 ABC geninde m B 60 AC 12 3 cm ise genin evrel emberinin yar ap ka cm dir A 12 3 bin B 9 3 A C 6 3 106 D 12 Q E 9 ossa Me OA

Find all solutions of the given equation Enter your answers as a comma separated list Let k be any integer Round terms to two decimal places where appropria 3 sec 0 4 0 8 x n 6 2 rad

Solve the given equation Enter your answers as a comma separated list Let k be any integer Round terms to three decimal places where appropriate If there is no solution enter NO SOB 5 tan 0 sin 0 4 tan 0 0 0

The measures of the angles of a triangle are shown in the figure below Solve for x 5x 6 106 43

Find all solutions of the given equation Enter your answers as a comma separated list Let k be any integer Round terms to two decimal places where appropriate 5 sin 0 1 0 0 rad

October 20 A 3 2 7 9 S A un m N 6 5 4 3 2 1 1 2 45 B 5 6 3 4 5 6 7 8 9 10 11 12 13 14 15 P 0 2 4 4 C 13 2 D 5 2

Fill in the blank to correctly complete the If a function f has an inverse then the graph off may be obtained by reflecting the graph of f across the line with the equation Type an equation

A telephone line hangs between two poles 14 m apart in the shape of the catenary y 22 cosh 7 5 0 0 0 7 x 2 17 where x and y are measured in meters 22 a Find the slope of this curve where it meets the right hand pole Round your answer to four decimal places b Find the angle 8 in degrees between the line and the pole Round your answer to two decimal places 8

angle me Jane and Opal s straw designs knowing that the lines created by the straws in their designs were parallel 70 Jane s straw design 135 140 xo to 70 Opal s straw design Find all of the labeled angle measurements knowing that the lines created by the straws are parallel Explain the reasoning for your results

a Find the domain of f The domain of f is 0 00 Type your answer in interval notation b Choose the correct graph of f A Ay B O C Q O D

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Simplify the trigonometric expression 5 sin t 6 tan t tan t

4 Do the shapes below have rotational symmetry Why or why not If so by how many degrees

X PY H W BALD Transformations mation given Graph the image of the figure using the transformation given 1 translation 2 units left and 7 units up X nosalamati Name Seda aliny Stmonlean 2 dilation of 2 5 F hodnotbal songs lemey Batkitar T Include Vector Rules X Rule M 2 5x2 5y

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Determine the perimeter of given figure on th coordinate plane Round your answer to the nearest hundredth if necessary Figure ABCDEF A YA F 86 4 2 B 8 0 O 8 6 4 22 LE 6 8 C 2 4 6 8 D AX

X W 35 Z 4x 7

Measure and record the slopes of these line segments in the original logo Then set n 0 5 and n 2 and record the slopes of the corresponding line segments in each resulting image BIUX X 14pt E V AVA Line Segment Original Slope Slope After Dilation n 0 5 LK GB AH n 2 Space used includes formatting 1008 15000

A scale drawing of a rectangular park is 8 inches long and 5 inches wide The rectangular park is 320 feet long in real life 8 inches inches Scale drawing 320 feet Real life park Question What is the area of the rectangular park in real life What is the area of the rectangular park in real life What are the units of your answer I Skip Question Scratch Paper Optional To Use Functions 7 Previous Question 1 8 LO 2 AC 9 6 3 X I

Solve for the value of v 50 v 7

6 ft 14 ft 14 ft 14

Find the total surface area of the composite figure 7 4 ft 14 ft 8 ft 12 ft 8 ft

7 660 9 260 Find the reference angle create a triangle and find all angles of the triangle 10 11 12 215 8 105 100 13 340 690

Consider the function y 2 arcsin x a Use a graphing utility to complete the table Round your answers to four decimal places 1 0 8 0 6 0 4 X Y X Y 0 0 2 0 4 0 6 b Plot the points from the table in part a and graph the function Do not use a graphing utility 2 0 2 0 8 1

The tallest television transmitting tower in the world is in North Dakota and it is 2059 feet tall If you are on level ground exactly 5280 feet one mile from the base of the tower what is your angle of elevation looking up at the top of the tower Give your answer in degrees Oa 68 7 Ob 23 0 Od 68 1 Od 21 3

31 32 33 Find the coordinates to endpoint P given the coordinates 11 10 for endpoint Y and given the coordinates 3 9 for the midpoint 030 AS Name a physical object in the world around us that represents concentric circles Solve for the measure of angle A below A x 44 55

f x 4x 8x Does the parabola defined by f open upward or downward Downward Upward Determine the vertex in x y form of the parabola defined by f Determine the y intercept in x y form of the parabola defined by f Determine the x intercept s in x y form of the parabola defined by f If multiple x intercepts exist enter the solutions using a comma separated list If no x intercepts exist enter DNE Determine the axis of symmetry of the parabola defined by f

12 pts Solve the equation below twice once using factoring and once using the quadratic formula Find the radian solutions on the interval 0 2m If possible give exact answers Otherwise round answers to 4 decimal places 3 tan T tan z 2

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

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

2t 3 13 when t

ngle below Carry your intermediate computations to at least four decimal places Round your answer to the nearest hundredth Find the area or 13 in 140 8 in in X

20 Earth takes 365 25 days to travel one full revolution around the Sun By approximately how many degrees does the Earth travel each day in its orbit around the Sun 21 Earth completes one full rotation each day making the Sun appear to rise and set If the Sun passes directly overhead by how many degrees does its position in the sky change every hour

13 A 29 7 b 41 5 ft a 27 2 ft

A birthday party caterer counted the number of juice cups on the table The cups contained different flavored juices and different shaped straws Orange juice Grape juice Heart shaped straw Star shaped straw 2 3 4 6 What is the probability that a randomly selected cup contains a star shaped straw given that the cup contains orange juice Simplify any fractions

17 Mia has 80 m of fencing material and would like to fence a rectangular plot o Determine the a dimensions of the plot that would ensure maximum area b maximum area that can be enclosed with 80 m of fencing material c the domain and range for the area function

1 Pin 2n Zn 26 A 29 4 5 1 0 13 13 23 21 2 25 1 3CH 28 26 F v T 27 a v COS sin 12 i 2 iv 0 v 6 cot 14 d iv g viii and 35 D 39 B 43 D 11 21m viii 6 and 0 ix a circle ii F vi T b i e ii b vii 29 No 33 27 B 30 False 2x 3 NIO EXEMPLAR PROBLEMS MATHEMATICS 36 C 40 A 44 D 2 P n 1 2 3 28 A 5 3EXERCISE NIM Fa 3 0 2 30 15 vi vii 0 x 2 3 21 i T vii F c 1 vi 4a 1 37 B 41 A 45 B 34 Real axis 38 A 42 B 31 2 3 21 46 2 B iv T vii F be repubished hed

X is normally distributed random variable with mean 63 and standard deviation 6 The probability that X lies between 45 and 81 is Note Write your answer as a decimal rounded to the nearest thousandth

Which angles are alternate exterior angles F I E G ZIJL and ZFGJ ZIJL and ZHGJ H K ZIJL and ZHGE ZIJL and ZFGE

In the image below you can slide the point along the curve to visualize this scenario 5 0 5 2 1 5 Enter the coordinates of the closet point Round each coordinate to two decimal places