Area Questions and Answers

What is the surface area of this triangular pyramid 3 mm 3 mm 26 mm 3 mm 3 mm

In baseball a player pitches a ball from the mound to a catcher behind the plate A pitch that passes over the plate above the batter s knees and below his chest is a strike All other pitches are balls provided the batter does not swing at them or hit them foul The table below breaks a sample number of pitches into strikes and balls over the plate and not over the plate Over plate Event C Not over plate Event D Strike Event A 10 0 Ball Event B 5 20 Which conditional probability below is either inaccurately described or inaccurately calculated The probability that a pitch not over the plate is a strike is zero So P AID 0 The probability that a pitch not over the plate is a ball is 1 So P BID 1 The probability that a pitch over the plate is a strike is 10 15 So O The probability that a pitch over the plate is a ball is 5 10 So P BIC 0 5

A park in the shape of a quadrilateral ABCD has ZC 90 AB 9 m BC 12 m CD 5 m and AD 8 m How much area does it occupy

R The volume of a cone is V 1 3 TT R h 6 Suppose the height of a cone h is always 3 times of R and its volume V expands from V 1000 m to 1000 1 m approximate the change in radius with dR

Which statements are correct Check all that apply A chord is sometimes a radius A diameter is always a chord A tangent is never a secant A chord can be longer than a diameter of the same circle A chord can be shorter than a radius of the same circle O A radius is always congruent to another radius of the same circle

12 12 TI F H 6 6 E 69 G Circle A has a radius of 6 Which circles are congruent to circle A Check all that apply circle D O circle E circle F circle G O circle H

2 REAL WORLD CIRCLE PROBLEM You are STARVING and about to order pizza You are deciding between buying one 8 inch pizza or two 12 inch pizzas Which pizza would be best for you to order Why FVE NEVER MET A PIZZA

You play darts with a friend The board is a circle with a 6 inch radius The Bull s Eye is a smaller circle in the center the board with an 0 25 inch radius You throw darts small metal arrows at the board At the end of six weeks she has thrown 500 darts She hit the board every time and hit the Bull s Eye 1 time If you throw 500 darts how many times should you expect to hit the Bull s Eye by random chance Compare this result to your friend s result Is she a skilled player for hitting the bull s eye or is the result of hers expected

Two friends race against each other in 100 meter and 800 meter races Of the 200 races they ran this year the wins losses and ties are shown below 100 meter Event D 800 meter Event E A won the race Event A 30 50 B won the race Event B 60 A and B tied Event T 10 25 25 What percentage of all the races are ties If someone wins the race today is it more likely for A to win or B to win How much more likely

Determine if the scenario involves mutually exclusive events A bag contains six yellow jerseys numbered one to six The bag also contains four purple jerseys numbered one to four You randomly pick a jersey It is purple or has a number greater than five Mutually Exclusive Not Mutually Exclusive

Find the probability Leave your answer in simplest fraction form A six sided die is rolled A number less than 5 or an even number is rolled

Find the probability Leave your answer in simplest fractio form A magazine contains fourteen pages You open to a random page The page number is three or seven

2 cos Z N 16 20 Y 12 X

Use for questions 7 8 Students on a field trip were given choices for a quick breakfast They could choose milk or orange juice OJ for their drink then a muffin bagel or oatmeal 7 The number of students who chose each item is shown in the first table Complete the second table with the relative joint and marginal frequencies Breakfast llem Muffin Bagel Oatmeal Total Milk 8 18 4 30 Drink Choice d P oatmeal milk 85482 OJ 20 16 90 Total 28 72 20 120 Breakfast Item Muffin Bagel Oatmeal Total 8 If a student on the field trip is chosen at random find each probability a P orange juice b P not a bagel Milk e P orange juice muffin Drink Choice OJ c P milk with muffin Total f P bagel or muffin milk

Use for questions 21 24 A group of 100 students were surveyed and asked if they play sports or have a part time job Of the students surveyed 40 play sports 68 have a part time job and 22 both play sports and have a part time job If a student from this group is chosen at random find each probability 21 P plays sports has a part time job 22 P plays sports and has a part time job plays sports 23 P has a part time job does not play sports 24 P does not play sports does not have a part time job

O 6 Diameter of circle area of 226 98 sq in with an

6 The area of a rectangle is x 7x 12 ft and the length is x 3 ft Determine the width

Question 11 1 point Which of the following is the most precise method of determine if 4 vertices on a coordinate plane is a square O Graph the points and look at the figure to see if it is a square Use the distance formula to check if 4 sides are congruent Use the slope formula to check if adjacent sides are perpendicular Check that its diagonals bisect each other are congruent and are perpendicular Previous Page Next Page Page 11 of 13

A membership committee of three is formed from four eligible members Let the eligible members be represented by A B C and D The possible outcomes include S ABC ABD ACD BCD Which statements about the situation are true Select three options There are four ways to choose the committee There are three ways to form the committee if person D must be on it If seven members are eligible next year then there will be fewer combinations If persons B and C must be on the committee there are two ways to form the committee If persons A and C must be on the committee then there is only one way to form the committee

Information about a shipment of mirrors to a local store is shown Broken Total Small Medium Large Total 4 208 6 Not Broken 96 402 102 214 480 Of all of the medium mirrors that were shipped how many of them were broken 68 78 164

1 Consider the circle inside the square below Find the area of the shaded region Round your nearest tenth 12

1 Find the area of the shaded region below Round to the nearest tenth 3

4 Find the area of the shaded region Round to the nearest whole number 3 cm 8 cm

6 Find the area of the shaded region Be careful There is a semi circle Round to the nearest tenth 2

3 Consider the circles tangent to each other in the square below Find the area of the shaded region Round your answer to the nearest hundredth 2 cm

A hall 150 feet in length is to be designed as a whispering gallery If the foci are located 20 feet from the center how high will the ceiling be at the center The ceiling will be about feet high Type an integer or decimal rounded to one decimal place as needed

x 14 4 In the circle A above DF 4 BF 6 FE x 10 and CF a Determine the length of DE b Determine the circle s circumference in terms of E B

1 Determine the value of x in simplest radical form X 14 8 X 10

Find the surface area of the following 10 in 10 in 15 in square inc

Find the surface area 3 2 cm 1 cm A 11 2 cm C 5 1 cm O A 2 cm OB O C OD 3 cm B 17 4 cm D 14 2 cm

19 5 in 8 247 75 in 12 in The surface area is square inches round to the near

What is the surface area 4 3 mm 4 3 mm 4 3 mm O 101 94 mm O 110 49 mm O 110 94 mm O 101 49 mm

Eetch the curve with the given polar equation by first sketching the graph of r as a function of 0 in Cartesian coordinates r 1 9 cos 0

Given the plane r 2 1 5 s 3 2 0 t 1 1 5 s t R The plane cuts the x y and z axes to fo triangular pyramid Find the volume of the pyramid Vpyramid area of the base height

K You have 204 feet of fencing to enclose a rectangular region What is the maximum area of the region OA 2 597 square feet OB 41 616 square feet OC 2 601 square feet OD 10 404 square feet

The volume of the doorstep sketched below 4 inches 1 inch The side is y x

5 In the diagram above AC and AD are tangent to circle B at points C and D respectively If CB 4 and AE 8 determine the length of AC in simplest radical form A E B

3 8 04 Review A right triangle has one leg that double the length of the other If the hypotenuse is 5 what is the length of each leg

2 In the accompanying diagram BA is tangent to circle O at A Radii OA and OC are drawn and OC is 2 determine and state the length of AB extended to intersect at BA at B If AO 3 and BC C B

Find the perimeter and area of the figure The perimeter is 66 ft Simplify your answer Type an integer or a decimal The area is Simplify your answer Tyne an integer or a decimal 16 ft 1 1 5 ft 12 ft 12 ft

A rectangular corn field yielded 2 200 000 ears of corn The dimensions of the corn field are 800 yards by 550 yards How many ears of corn per square yard did the corn field yield x x A 25 per square yard B C 10 per square yard 5 per square yard D 50 per square yard

x Po has a frame that is 9 in x 8 in What is the maximum area the picture can have to fit in the frame A 72 sq in B 81 sq in C 63 sq in D 9 in 96 sq in 8 in

3 A shipping container is in the shape of a right rectangular prism with a length of 12 feet a width of 8 5 feet and a height of 4 feet The container is completely filled with contents that weigh on average 0 25 pound per cubic foot What is the weight in pounds of the contents in the container A 92 B 408 c 102 D 1 632

G H If m GHI 87 degrees what is the measure of ZJ Your Answer

F point Your Answer E G D If E 33 and D is 63 what is the measure of arc FED

Question 10 1 point N Your Answer M If LM 6 and KL 9 find the length of MN Roun your answer to one decimal place

Question 6 1 point E H G Given mGH 21 degrees and mEF 98 Find mZJ

Question 8 1 point B Your Answer E C If BE 10 ED 12 and EC 4 what is the lengt of AE

15 Find the value of x 10x 6 13x 2 71 8x 1

5 Find the area of blue portion of the irregular shape Round your answer to the nearest tenth 1 po 2 in O2 7 in 09 7 in 03 4 in