Area Questions and Answers

PLE In the diagram below MN 5 Determine the length LM and LN siT gi Isib9q2 e no ameldon Ils selg good adi otni ensw s mo algo 30 60 simd

1 AABC is a right isosceles triangle and AB 4 2 Determine the length of AC and BC other

2 In the right triangle below if AC 5 5 and AB 10 find the length of BC in simplest radical for B A C

22T 5 In the diagram above of circle P the number of radians in ZSPR is 45 a Determine the number of degrees in ZSPR EXAM b Determine the number of degrees in ZSPQ c Determine the number of radians in ZSPQ S R P

6 a A cylindrical cup is 8 centimeters in height When filled to the very top it holds 480 cubic centimeters of water What is the radius of the cup rounded to the nearest tenth

In circle P with m NRQ 45 find the m NPQ R N Q

3 We are entering a unit on a key Algebra II tool the Unit Circle What do you know about circles so far Write own anything you remember about them angl What is the an angie the value can be exp

If AABC and AXYZ are congruent which of the following statements below is not tru Angle B and angle Y are congruent Angle CBA and angle ZXY are congruent C D A B AB and XY are congruent AC and XZ are congruent

The three solids below have the same height The cross sections of the parallel planes have equal areas Which solid has the greatest volume C D A B the rectangular solid the cylinder the triangular prism All the solids have the same volume

C D Find the area of the shaded sector Round your answer to the nearest tenth Use 3 14 for T A B 225 141 3m 70 7m 22 5m 3 8m 6 m

3 2 0 1 4 1 2 1 Graph of f The continuous function has domain 3 4 The graph of f consisting of two line segments and a semicircle is shown in the figure above The graph of f has a horizontal tangent at x 1 Let g be the function defined by g x f f t dt for 3 x 4 a Find the x coordinate of each critical point of g on the interval 3 x 4 Classify each critical point as the location of a relative minimum a relative maximum or neither for g Justify each of your answers b For 3 x 4 on what open intervals is g decreasing and concave up Give a reason for your answer c Find the value of g 2 g 2 g 2 or explain why it does not exist Show the computations that lead to your answer d The function is defined b z x g x Find z 2 Show the computations that lead to your answer

Test 10 4 to 10 7 Geometry 1 The figures in each pair are similar Compare the first figure to the second Give the ratio of the perimeters and the ratio of the areas 73 3 16 in 9 26 15 mm A bh 742 Nh 12 mm 28 in 55 5 360 X 55X 1800 5 Area of smaller triangle 74 in x 373 25 16 The figures in each pair are similar The area of one figure is given Find the area of the other figure to the nearest tenth 2288 17 18 4x244 74 4x 518 x 129 5in Use circle H to answer the following questions 8 Name one minor arc 2 HY 9 Name one major arc YWX 10 Name one semicircle WY 11 Find the measure of arc YX 115 12 Find the measure of arc XYW 180 13 Find the measure of arc ZXW 212 14 Find the measure of arc WZY 212 Find the area of the regular polygons 15 A Pentagon with a Perimeter of 55m P a 2 dr 4 4 in 30 cm 56 NAME Audrey Mccormick DATE PER A Z 8 in 10 Area of larger pentagon 120 cm Find the scale factor and the ratio of perimeters for each pair of similar figures 5 two regular pentagons with areas 45 ft and 20 ft 25 2 5M 46 20 BE 6 two equilateral triangles with areas 8 3 cm and 128 3 cm 7 two circles with areas 27 in and 48 in 27 9 48 16 30 3x120 1 10 cm Y 148 32 H 00 22 7m X 3x 120 X 40m 115 8x 2160 W IN 65 X 16 An Octagon with a radius of 6cm 8 6 360 X 1 2 3 4 5 6 7 8 9 P Ratiomm 25 16 A Ratio P Ration A Ratio in x 129 5 in x 40 3 10 11 mm SF P Ratio SF 48em P Ratio em SF P Ratio To in 14 YWX in 24 4 E L 115 12 7002 13 2 2 V 212 2 15 32 7m 16 270 m 9

Geometry What is the ratio of the area of a square with the side length of 2x to its perimeter Explain your reasoning

Two wires support a flagpole FH The first wire is 11 2 meters long and has an angle of elevation of 39 The second wire has an angle of elevation of 47 How tall is the flagpole to the nearest tenth of a meter

15 Choose the correct answer tangent Are the circles tangent concentric or congruent O concentric 1 1 congruent B

1 3 24 13 12 11 10 9 7 6 8 5 4 The figure bellow is composed of three shapes Use the figure for Items 7 and 8 X 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 Name each of the figures and tell the formula would use to find its area you 8 Find the area of the composite figure

6 In the figure below a circle is inscribed in a square that has side length 8 units Express the shaded area of the figure in terms of 8 units 8 units

14 Find the length of the arc of the circle 12 in O 50 24 in Use T 3 14 25 12 in O 120 in 120 12 in Arc on a circle

18 Find the area of the sector of the circle 90 ft O100 ft O 10 ft 25 ft 10 ft A circle sector

A study was done on the circumferences of different types of trees in a forest A random sample of trees were measured and each tree was marked to guarantee that no tree was measured twice The sample contained 250 red maple trees of which 40 had a circumference less than 35 inches Which of the following conclusions is best supported by the data A The average circumference of all the trees in the forest is approximately 35 inches B Approximately 40 of all the trees in the forest have circumferences less than 35 inches C Approximately 40 of all the red maple trees in the forest have circumferences less than 35 inches D The majority of all the trees in the forest have circumferences larger than 35 inches

The total weight of a carton of oranges is 27 3 pounds of which 9 6 pounds is the weight of the carton itself If a fruit vendor pays 46 25 for a carton of oranges which of the following is closest to the cost of the oranges in dollars per pound A 6 50 B 4 80 C 2 60 D 1 70

Jazmine has a spherical balloon that has a diameter of 8 inches Carrie has a spherical balloon that holds twice as much air as Jazmine s balloon What is the diameter of Carrie s balloon Show your work here Hint To add the nth root symbol V type root

Find the surface area of this object Do not forget the units 10 cm 11 cm 5 cm

AHIJ is similar to ASTR What is the perimeter of ASTR a 32 b 37 b 37 c 40 d 42 e 120 H T 10 S 12 F

The cone shown has a 3 in radius and 7 in height What is the volume of the composite figure 311 02in

Find the area of each shape All measurements are in meters Leave answers in terms of pi if needed a 47 7 9

What is the volume of the cone Leave your answer in terms of pi 5 cm 21 cm 525 cm O 70 cm O 1757 cm

4 In the diagram below DF 2 3 Determine length of DE 30 90 12

TH 1 In triangle ABC below mzC What is AC A a

O What is the measure of angle M 110 K S 50 L N 50 30 M

NAME Answer DATE 10 What is the measure of one exterior angle of a regular decagon 36 PERIOD 11 Determine if the statement is true or false If the statement is false correct it to make it true The diagonals of a rhombus are congruent True False C 12 CONSTRUCTION A scissor lift is used to lift heavy objects The supports are joined to form parallelograms in this model the maximum height is reached when m2A 101 U What is m B when the lift is at its maximum height m2B 74

What is the interior angle sum of a nonagon

Consider the polar equations r 5 3 cos 0 and r 5 3 sin 0 whose graphs are shown below 6 2 OC 42 0 2 44 2 6 a What is the area of the region in Quadrant I that lies inside both curves Number b What is the area of the region in Quadrant III that lies inside both curves Number

POSSIBLE POINT A small printing company launched an online ordering system to expand its business The equation c 400 1 03 represents the number of customers c it has in terms of the number of months m since it launched the ordering system If y is time in years write an equation for the number of customers c as a function of the number of years y after the introduction of the ordering system If this model continues to apply for a decade by what factor will the number of customers grow in one decade Expression Numerical Value to the nearest hundredth

Write a logarithmic equation corresponding Use f x log2 x as the parent function X 8 6 4 2 y 8 9 N 2 4 1 3 6 4 6 8 X

cons OA 3 200 cm3 OB 3 466 66 cm3 OC 6 400 cm3 OD 6933 33 cm3 Question 3 slant height one is 52 cm What is the volume of a cone having a radios of 20 in and a slant height of 52 cm A 3200 cm 6400 cm B3466 66 11cm 6933 33 Ticm 3 12 5 pts The radius of a base of a Cone is 18 cm The height is 24 cm What is the volume of the cone 8143m 69953cm 3

To approximate the area of a lake a surveyor walks around the perimeter of the lake taking the measurements shown in the illustration with values below Using this technique what is the approximate area of the lake Hint Use the Law of Cosines on the three triangles shown and then find the sum of their areas v 45 ft w 45 ft x 30 ft y 75 ft z 20 ft F 15 G 105 CRE The approximate area of the lake is Round the final answer to two decimal places as needed Round all intermediate values to four decimal places as needed W

Two tangents of a circle that meet outside of the circle at one point are the same congruent perpendicular

bonding Go to slides 16 30 in the link provided in this assignment to complete the following table Name 1 Sulur Trioxide 2 Dichlorine Heptaoxide 3 Oxygen Difluoride 4 Dinitrgoen Tetroxide 5 Phosphorus Pentachioride 6 Dinitrogen monoxide 7 Carbon Monoxide 8 Sulfur Hexachloride 9 Dinitrogen Trisulfide 10 Carbon Tetrachloride 11 Monoarsenic Tridodide CIDENT Formula

A segment whose endpoints lie on a circle is a 1 tangent 2 secant 3 diam

Find the maximum value of f x y z 30x 3y 21z on the sphere x2 y2 z2 4

Find the volume of the composite solid which has a square base Show your work here 10 0 7 4

Find the volume of the composite solid which has a rectangular base Show your work here 12 12 6 2

What is x O 4 3 6 08 Question 2 X 12

Topic 7 Test A X app formative com formatives 63f5479e9ace61311adb270d Given APQR be true Select P

Winter Math Picture Puzzle Tree Mitten Snowflake Final V V V 21 13 17 V

Let p x x 5 and h x x 5 Find poh x poh x

O Month Week 5 1 2 3 4 5 S S SA Revenue 750 900 1 100 1 250 Expenses 3 010 2 850 Graph the information presented in the table Use that graph to predict the week that revenue will equal exp Note Revenue and Expenses are drawn on the vertical axis and Month is on the horizontal axis 2 700 2 490

A teacher is making a VENN diagram of his students The teacher wants to consider which students have a pet dog and which have a pet cat His student Jessica has a cat and a dog In which region or regions would this place Jessica in the VENN diagram shown Region A and C Region A B and C Region B only Region D only CAT A B DOG

Lessons Question 11 Multiple Choice Worth 4 points 01 07 MC Statement Janet is designing a frame for a client She wants to prove to her client that m1 B Assessments D Justification Segment CD intersects segment AB Given Gradebook