Area Questions and Answers

5 Below is an ice cream cone and a scoop of ice cream The volume of the cone is What is the combined volume of the cone and scoop of ice cream 4cm 5 cm 4 cm

5 If tan C 0 6687 find angle C rounded to the nearest degree Angle C is between 0 and 180 3 marks

What is the value of the variable If the answer is not a whole number round to the nearest tenth a x 100 X 100 50 b 9 x 9 4 36 x 6 X 4

Find the value of the variable Q T 40 R S

Honors Geometry 3 2 1 SA 35 19 Kmvolume 12 57 Km 2 km 3 km Name DO NOT LEAVE IN TERMS OF T round to the hundredths SA LA B 2 3 x 4 9 x 2 Filtr TTIA 2 2 3 6 47 Z 35 19 SEM REST V 1 x 1 3 x 3 B A cone with a radius of 3 inches has a surf

Write the standard equation for a circle center 6 8 that passes through 0 0 Select one O a x 6 y 8 14 O b x 6 2 y 8 10 O c x 6 2 y 8 196 O d x 6 2 y 8 100

Find the value of x X Type an integer or a decimal

Find the value of the variable

GK is tangent to circle O at point Q QR is the circle s diameter Find m GQR R O G e K

Find the value of the variables For the circle the dot represents the center 50 b Answer 39 a Input answer as a b c

3 73 8 42 Z YZ X 63 52 Y

The circle below represents Earth The radius of the Earth is about 6400 km Find the distance d that a person can see on a clear day from height habove Earth Round your answer to the nearest whole kilometer h 20 km r d

In the circle what is the value of x X 8 Answer 12

The top of a table is in the shape of a circle that has a radius of 40 ine Which measure is closest to the area of the top of this table A 63 sq in OB 314 sq in OC 1 257 sq in OD 5 027 sq in

Find the value of a The dot represents the center of the circle 74

QV is tangent to circle O at point Q and QB is a secant line If mQFB 252 findm BQV F B V

1 A roll of wrapping paper covers 25 cm Imani plans to wrap the cylinder below in paper How mal rolls of paper will Imani need to purchase 4 cm 2 cm

YOU DO ROUND 2 2 Determine the surface area of the hemisphere below with a diameter of 14 in to the nearest 14 in lberedt sid

1 Which of the figures has a greater surface area Round to the nearest 3m 00 10 m 9m

Sally had just got her license and the first night her parents said she could drive she came home and her little dog ran in front of her To avoid her dog she smashed into the side of the house After everyone was determined to be OK she had the fun of repairing the damage to the house She offered to paint the side of the house for her parents Her parents left it up to her to buy the paint and do all the work Using her amazing Algebra 2 skills she thought she d calculate what to buy The first step was to determine how much paint she would need First she needed to determine the surface area of the side of the house in order to estimate the number of gallons of paint she would need She knew the top of the house was an isosceles triangle She figured she could climb on a ladder to measure the angle between the pitch of the roof and the wall and the rest was pretty easy Using composite figures and trigonometry she calculated the area of the side of the house Image of the house with measurements Next she went to the local hardware store and learned that there are many different types of paint So she created a table to compare the different kinds and determine which would be best Assignment 1 Calculate the square area of the side of the house Image of the house with measurements 2 Create your own table comparing the prices of paint Choose three types of paint Some might contain primer a substance that helps the paint stick better and appear darker These are often more expensive but that would be one less coat of paint You can use this sample table or make your own 3 Summarize the plan of action that Sally should take Type of Paint Behr Sherwin Williams Glidden no Price gallon Coverage 200 400 350 350 Surface Area of the side of the House gallons for one coat Number of coats Total of gallons Cost

L If MLP 17 17 what 18 is the length of LMP 131 90 O 72 O 28 90 M 41 90 72 T TU 17 JU 90 T K

What is the length of HJ PE 15 G 6 60 J H

1 ASU Gammage Auditorium is 75 000 square feet The population density is 0 039 people per square foot How many people can attend an event at Gammage

3 Abigail is putting juice into cone shaped containers to make popsicles She has approximately one quarter of a gallon or 58 cubic inches of juice to make the popsicles with Each container has a height of 3 inches Use the information to complete the table indicating the maximum number of popsicles that Abigail could make with 58 cubic inches of juice Radius of the Maximum Container Number of Popsicles 0 5 inch 1 inch 1 5 inch

Lesson Posttest Question 3 How many lines of symmetry does the isosceles triangle have O 3 02 O 4 Points 1 O 1

Two chords intersect at a point inside a circle that is not the center of the circle Which statement must be true O The measures of each pair of opposite arcs sum to 180 O Each angle measure is equal to the measure of the arc it intercepts O The sum of the measures of each pair of vertical angles is equal to the sum of the measures of the intercepted arcs O Each arc measure is equal to one half the sum of the vertical angles that intercept the arc

0 S R 94 T U In circle Y what is mTU 82 O 100 O 106 O 118

U T Line segment ST is congruent to which line segment O SK O KU O UT OTK

rea Volume 2 Calculate the area and perimeter 10 points HA and the volume and surface area of the solid below 10 point Perimeter Surface Area Period Geometry Final Exam Ope

A circular table top has a radius of 24 inches What is the area of the table top to the nearest square inch Use 3 14 for T O 75 in O 151 in O 1809 in O 7235 in

young women aged 18 to 24 is approximately N 64 5 2 5 1 Sketch a Normal density curve for the distribution of young women s heights Label the points one two and three standard deviations from the mean X Height of women A Standard devotion X 2a xta x 2a 4 39 X 3a 2 What percent of young women have heights greater than 67 inches Show your work 3 What percent of young women have heights between 62 and 72 inches Show your work 4 How tall would a women be she was at the cut off for the lowest 16

The parking lot at the Magic Kingdom in California has 174 spaces designated as accessible How many must be marked as van accessible

10 cm 9 am 8 Find the surface area to the nearest tenth Select one O a 1193 8 cm O b 141 4 cm O c 361 3 cm O d 439 8 cm Find the volume to the nearest tenth Select one

What is the approximate volume of the sphere 10 m Select one O a 1000 m O b 1256 m O c 1570 m O d 524 m

ines that appear to be tangent are tangent O is the center of the circle What is the value of x Do not include the degree symbol in your answer

In the figure to the right if AC 17 and BC 14 what is the radius The radius is approximately B C Round to the nearest tenth as needed D A

The surface areas of two similar figures are given The volume of the larger figure is given Find the volume of the figure S A 36 m S A 225 m V 750 m

Which figure best demonstrates the setup for the box method of finding the area of a triangle 0 O O O

D 10 3 6 4 2 F 164 y 10 8 6 J N 2 to co F6 8 10 2 4 6 10 x E Find the area of the triangle DEF Area square units www

A 9 10 10 6 2 y 10 6 2 DO 10 ON 5 C 4 6 fy R 10 B 7 2 Triangle ABC is a right triangle The length of BC is 5 units The area of ABC is square units

P 10 33 Y 40 6 4 2 6 40 8 10 R The coordinates of the vertices of the triangle are 8 8 8 4 and Consider QR the base of the triangle The measure of the base is b 18 units and the measure of the height is h units The area of triangle PQR is 108 square units

5 4 3 2 LO 5 4 NW 3 2 1 2 CO 4 5 y 2 3 4 X The distance between the two points pictured is d Use the distance formula to find n d x x v V n

the surface are Round your answers to the nearest tenth 6 pts 6 yd 6 yd 12 yd figure below

6 Determine the surface area of the triangular prism below Round your answer to the nearest tenth 5 4 m 2 4 m 8 4 m 4 3 m 4 1 m

5 Determine the surface area of the right rectangular prism below whose base is a square 8 in 8 in 8 in

1 Find the surface area of the triangular prism shown below Round your answer to the 10 ft 16 ft 12 ft 19 6 ft 5 ft

4 Determine the surface area of the right rectangular prism below 5 cm 7 cm 2 cm

Probability Practice 2 6 na statistics class there are 18 juniors and 10 seniors 6 of the seniors are females and 12 of the juniors are males If a student is selected at random find the probability of selecting the following a A junior or a female b A senior or a female c A junior or a senior b A club or a heart or a spade c Aking or a queen or a diamond 7 If one card is drawn from an ordinary deck of cards find the probability of getting the following a A king or a queen or a jack d An ace or a diamond or a heart e A 9 or a 10 or a spade or a club b Doubles or a sum of 6 or 8 da Name Det 8 Two dice are rolled Find the probability of getting a A sum of 5 6 or 7 c Asum greater than 8 or less than 3 ORE Ricarney out alugmo nely and easqnto 20777 il sal better In ho wasten co BIA S dorg beurs HORA ZA aurbest mog E d Based on the answers to part a b and c which is least likely to occur Explain why An urn contains 6 red marbles 2 green marbles 1 blue marbles and 1 white marble If a marble is drawn find the probability of getting a red or a white marble

Find the volume of the square pyramid given its slant height Round to the nearest tenth 13 mm 12 8 mm Select one O a 721 1 mm O b 621 2 mm O c 931 8 mm Od 55 5 mm

Find the surface area and volume of the figure The surface area is 4 Round to the nearest tenth 12 ft 10 ft