Geometry Questions

What operation s would you perform on the longer leg across from the 60 degree angle of a 30 60 90 triangle to get the length of the hypotenuse Divide by 2 multiply by 2 Multiply by 2 Divide by 3 multiply by 2 Divide by 2

1 point The sine of 72 degrees is 0 95 What s the cosine of 18 degrees 1 0 95 0 8 0 05

8 1 point B 48 b C a 3 2 a 3 3 46 If c 6 solve for a a 3 a 6

Step 1 of 2 Identify the shape of the more basic function that has been shifted reflected stretched or compressed Answer 3 Points MM MM Keyboard X

Determine in which of the four quadrants angle is located given Answer 5 Points csc 0 0 and cos 0 0

Note I means perpendicular A Given AC LBD and C is the midpoint of BD Prove A ABC ADC B C right angles 3 4 Statements AC LBD C is the midpoint of BD ZBCA and LDCA are D AC AC A ABC A ADC Reasons 1 2 Definition of perpendicular All right angles are Definition of Bisect 5 6 Which choice belongs in space number 3 LABC LADC A BCAA DCA OZBCARGA

What is the volume of the square pyramid cm Round to the nearest tenth as needed C

17 1 point B 1 Which construction is shown Rhombus Copy an Angle Perpendicular Bisector Perpendicular Through a Point C

Which of the following can only be used after you prove triangles are congruent Alternate Interior Angles CPCTC Substitution Reflexive

1 point Which of the following can be used in this picture with no additional information needed Vertical Angles CPCTC Substitution Alternate Interior Angles

6 1 point A B C E Which angle is congruent to angle B Angle E Angle D Angle F Angle C

6 5 ft Surface Area 13 ft 5 ft

6 1 point Given DF ER DH EG and DF ER Prove H is the midpoint of FG Statements DF EH DH EG 1 LDFHLEHG and LDHF LEGH ADFHAEHG Reasons Given Given 2 3 FH HG 4 H is the midpoint of FG 5 Which statement belongs in space number 3 AAS The triangles are not congruent HL ASA

8 1 point Which construction could this be Inscribed Equilateral Triangle Inscribed Star Inscribed Octagon Inscribed Square

Verify each identity 1 tan x tan x 4 COS X cos 2x sin xcsc x

13 Given the formula A r find the area A of a circle whose radius is 0 00000607 in O3 32929 x 10 in 9 70 O 3 721 x 10 in 9 3 51649 x 10 9 in 3 68449 x 10 1 in

Which of the following types of angles are congruent Corresponding Complementary Supplementary Linear Pair

Which of the following can be used when two triangles share an angle Substitution Reflexive Alternate Interior Angles Vertical Angles

18 1 point B This is the first step in which construction Inscribed Octagon Inscribed Triangle Inscribed Hexagon Inscribed Square

13 1 point M P Statements MObisects PN and ZP ZN PO ON N Given Prove MP NO Reasons 1 MObisects PN and P ZN 2 Vertical Angles 4 5 3 A MOP A QON MP NO Which choice belongs in space number 3 ZMPOZNQO LOMP LONQ PMO ONIO

1 point Which of the following can be used when two triangles share a side Reflexive Vertical Angles Alternate Interior Angles Substitution

Each hemisphere of a beach ball has a volume of 281 250 cm What is the radius of the ball in cm 152

O B C 1 4 1 3 B C D A D The distance from B to B is 6 and the distance from A to B is 2 What is the scale factor 3 4

Circle H has a radius of 9 inches in Points M and N are on the circle and form the sector MHN The central angle ZMHN in Circle H measures 115 Determine the area of the sector Express your answer in terms of and round to the nearest hundredth if needed

The area of a sector with a diameter of 12 feet ft is 62 8 square ft Calculate the approximate measure of the central angle of the sector in degrees

It is important to limit in a research project because it will give unreliable information When Kora set up the experiment with a group of teenagers who wanted to improve their metabolism she broke them into two groups One group received hot lemon water made with real lemon The other As she asked them and the flavoring would be received hot water with lemon flavoring the second was called the questions about their weight energy etc she chose not to know who was in which group so this was a study

Consider these five data values 10 14 15 16 20 The mean is 15 0 and the Standard Deviation is 3 6 Now look at these values 10 11 15 19 20 Without doing any calculations what will happen to the standard deviation even though the mean is still the s Select one a The SD will be smaller because 11 and 19 are farther from the mean than 14 and 16 were b The SD will be smaller because the new values effect the range c The SD will be larger because the new values are close to each other d The SD will be larger because 11 and 19 are father from the mean than 14 and 16 were

Johnny was fishing Bass and caught these 5 fish Fish lengths 4 6 7 8 10 The mean is 7 0 based on his catches he calculates an estimated Standard deviation called the Sample Standard Deviation Remember to use Bessel s Correction

Scores on a test are normally distributed with a mean of 200 and a standard deviation of 12 Find the probability a randomly selected student scored less than 218 Select one a 0 75 b 0 90 C 0 45 d 0 93 If the average salary of a computer programmer is 71 800 with a standard deviation of 13 000 approximately 97 800 of the programmers make over

The mean always has a z score value

1 A can of soup is full of vegetables and chicken broth The volume of the chicken broth is 141 37 in I can has a height of 5 in and a base area of 30 in What is the volume of the vegetables in the can a 66 37 in b 8 63 in c 291 37 in d 150 in 3

2 Determine the volume of the figure below given their Faull 000

4 The smaller cone is removed from the larger cone Determine the volume of the figure to the nearest tenth 3 6 12 8 empl

A regular hexagon is shown 10 in What is the length of the apothem rounded to the nearest inch Recall that in a regular hexagon the length of the radius is equal to the length of each side of the hexagon O4 in 5 in O9 in 11 in

5 Determine the volume of the composite figure Round to the nearest tenth 5 mm 4 mm 2 mm last season att et barot sgil altamo s o lo employ

6 A cylindrical pringles can was full of pringles If the cylinder is 13 cm tall and has a diameter of 14 cm and the volume of the pringles in the can is 1632 cm determine the volume of the empty space in the can

E 10 ft A 261 8 B 785 4 C 916 3 5 ft 5 ft 5 ft A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above Of the following which is closest to the volume of the grain silo in cubic feet

Y 4 C Figure ABCD is a parallelogram Points X and Y are placed so that BX DY and CDJ XY The area of BXYC is 71 5 square units What is the area of ABCD O 99 square units O 110 square units O 126 square units O 143 square units

7 Determine the volume of the complex figure below Round to the nearest hundredth 6m 5m 50m

3 The pill below is a cylinder with a hemisphere on top and a hemisphere on bottom What is the vo 4 cm Hint a hemisphere is half of a sphere the shape below if the radius is 2 cm and a 1 r

2 Determine the volume of the composite figure Round to the ne 4m 3 m the 2m 451 637 in

Determine the volume the cylinder with a hemisphere scooped out of the top A 487 in 3 7 in C 457 in 3 3 in

d 410 cm 2 Determine the volume of the composite figure Round to the nearest tenth 4m pec 3 m 4 m Z2m 45m in

What is the measure of each exterior angle of a regular hexagon 000 40 60 72

Fwd the S 24 cm We 714 What is the volume of the shape V 28 938 24 cm V 2 712 96 cm V 7 234 56 cm V 3 617 28 cm V 603 19 cm

8 Calculate the volume of the 3D figure 12 in 13 in

Z Rhombus WXYZ is graphed on a coordinate plane What is the perimeter of the rhombus 16 units O 20 units O 24 units O 28 units

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm 14 cm What is the approximate area of the hexagon O 224 cm O 336 cm O 448 cm O 672 cm

1 Calculate the surface area of a rectangular pris that is 3in by 5in by 2in

HOW 2 Determine the volume of a cone with a dia of 10 in and a height of 4 in Round to the nearest tenth Draw the figure first