Area Questions and Answers

of these methods can be used t A B SS SAS

Find the area of this rectangle 8 m 13 m 2 m

A rubber ball with a diameter of 6 cm is found on a frozen pond with only 2 cm sticking above the ice surface at its highest point What is the circumference of the circle where the ball touches the ice surface Express your answer to the nearest tenth of a centimetre

Find the area of each figure by addition 7 FI E A 1 2 y 4 2 0 2 4 D 2 C B 4 X

Test Exercise 9 Suppose the upper boundary of the region R in Figure 1 is rotated about the x axis Write an integral that represents the exact surface area of the solid of revolution Use your calculator to approximate the surface area to 3 decimal places Figure 1 27 yy R

Find the area of the geometric figure Give an exact area and then use 3 14 as an approximation for x to approximate the area The exact area is sq in d 5in

srealize com ssturments viewer classes ilations igures to the right are similar The area of one f aller parallelogram 16 ft

Part 1 of 3 In the following figure the smaller triangle is centered at point O Find the scale factor an

Determine the value of tan given that the terminal side of angle intersects the unit circle in the first quadrant at y 14

Move the slider k so that the graph of y x gets shifted up 3 units Then type the new function f x in the answer box 3 T 10 5 2 2 f x x 0 k 0 00 Don t forget to shift the graph up Using function notation i e f x enter the function that results from the transformation

The person in the picture sights a pigeon ab

ative com Make Sense and Perse etermine if x is half of y

definite integral representing the area of the region using the strip shown Evaluate the integral exactly y 4 y Ay y x X 2 8 2 Applications to geometry p 429 Q 42

2 17 23 7 29 AM 6 In building a tent Jada ties a rope from the top stake that is 4 meters away from the base of the pole Jada draws this to help find the angle made between the rope and the ground Which equation can Jada use to find the value of x to Mark only one oval x tan 3 4 tan x 3 4 x tan 4 3 tan x 4 3 37 rope Find the value of x Round to the nearest tenth 17 3 pole 3 1

3 ut of S Given the rectangular c Select one or more a 2 2 4

on 6 red out of n A General Social Survey asks questions about one s happine perspective Not too Happy Pretty Happy Very Happy Health and Happiness Poor 671 945 352 1060 Fair 1287 3516 1 391 104 Good 1 515 1541 4414 7470 Excel 73 5 0 5 0 100

IM3 Pt 2 Unit 7 Probability Quiz 7 5 Is there an association between gender and party affiliation E probability that a randomly selected person is a male democr Party Affiliation

Directions Solve the radical equation X 3x 12 x 8 I

Graph the trigonometric function cos x 3 4 y Plot all points corresponding to x intercepts minima and maxima within one cycle Then click on the graph a function bu 2x 1 20 3it 4jt X

1 Previous Convert to rational exponents x

Use the diagram to answer the follow As shown in the diagram mAB 30 a 110 C A 40 What is the measure of ZE B 30 30 C 15 B

DE LEF 19 5 ft Ad d Are any of the walls of triangle ABC perpen 22 5 ft 72 ft 78 ft b The archaeologists estimate that it will require 45 minutes to an hour to excavate each foot of the exterior walls of the temple site Approximately how long will it take to excavate all the exterior walls Explain in detail how you determined this c The entrance to the ceremony preparation room appears to be along wall AC and directly opposite vertex B What is the distance from B to the entrance to the preparation room

The company you work for produces right circular thin steel canisters for other companies to store their liquid products A customer has ordered 10 000 steel canisters The canisters must hold a volume of 7 cubic feet and includes the top and bottom Your company charges 0 30 per square foot of surface area of the canister and is always minimizing the cost for their customers What is the minimum cost for this customer s order round the radius the height and the minimal surface area to 3 decimal places

Find the amplitude period a phase shift and the mean of the following sinusoidal functions a y sin 5x 6 amplitude period phase shift mean b y 7 sin xx 4 amplitude period phase shift mean c y 4 sin x 2 3 1 5 amplitude period phase shift mean d y 5 4 sin 2x 3 13 8

9 Consider rhombus ABCD A B a Find the resultants of AB AD and AB AD C D b What will the value of AB AD AB AD always be Explain c Is the value of AB AD AB AD the same as your answer to part b Explain

M M 9 Add and subtract radical expressions 146 Subtract Write your answer in simplest 5 10 20 Submit

Subtract Write your answer in simplest form 3 48 7 3

Rates and 3 SAT Question Ratios Proportions Tim s diet plan calls for 60 grams of protein per day If Tim were to meet this requirement by only eating a certain protein bar that contains 30 grams of protein how many protein bars would he have to buy to last a week

Math 1155 Written Assignment 1 v2 4 6 marks 98 47 20 98 52 20 0 116 51 121 45 88 39 G H 33 27 Show work and solution using degrees and minutes Show work and solution using degrees and minutes

Triangle ABC above is similar to triangle DEF What is the perimeter of triangle DEF A 20 B 26 8 C 30 D 36 2

159 M C N 4x 7 What is the measure of arc PN 318 degrees 159 degrees 38 degrees 41 5 degrees

Tyler placed some inch cubes on the bottom of a container He saw that he could completely fill the container with 3 more layers of inch cubes What is the volume of the completely filled container A 15 cubic inches B 24 cubic inches OC C 72 cubic inches OG WER

Brian s company makes solid balls out of scrap metal for various industrial uses For one project he must make copper balls that have a radius of 6 in If copper costs 0 75 per in how much will the copper cost to make one ball 7 If necessary refer to the list of geometry formulas For your calculations do not round any intermediate steps and use the button on the ALEKS calculator Round your answer to the nearest cent 1 X

What number sentence can be used to find the volume of the rectangular prism below O O A 3 x 6 2 20 O Key B represents 1 cubic unit 3 x 6 18 C 6x2x1 12 D 6 2 8

Espa ol The empty gas tank of a truck needs to be completely filled The tank is shaped like a cylinder that is 3 5 ft long with a diameter of 1 4 ft Suppose gas is poured into the tank at a rate of 2 3 ft per minute How many minutes does it take to fill the empty tank If necessary refer to the list of geometry formulas For your calculations do not round any intermediate steps and use the T button on the ALEKS calculator Round your answer to the nearest hundredth minutes HO Aa K

Calculez l aire de chacun des triangles suivants a B 18 8 cm A 106 44 9 Dans chaque cas d terminez chacune des mesures manquantes a B 13 7 cm 119 b b 34 m 19 8 m D 23 63 m 56 m 30 7 m

3 In DEF EG 9 andFO 5 Find DG 6 Find the value of if the altitude bisects the base of the triangle 7 Solve for x 8 Find the value of x 9 find the value of x 10 In the figure below DG EF DF EG 2FDG 30 and EG 8 What is the length of DG 3 pts J G Cham in the below DG EF OF EQ FOG 10 ant EG What is the length w DS 3

For a right pentagonal prism and regular pentagonal pyramid with congruent bases and equal heights the volume of the prism is three times as large as the pyramid elect one True

Given the line y 2 convert it into polar equation form

When graphing the polar equation r3 cos 20 as approaches from 0 the radius changes from to

The polar equation r 8 2sin0 3cos is equivalent to a line with a y intercept of Write in a numerical answer rounding if necessary to the nearest tenth

Sketch a graph of f x 5 4 3 2 1 5 4 3 2 1 1 2 3 4 5 2x1 1 1 2 3 on x it if 2 x 1 if x 1 4

Using the table graph the quadratic equation y x 4x 5 2 X

charity needs to report its typical donations received The following is a list of the donations from one week A histogram is provided to display the dat 10 10 10 10 15 15 15 19 20 20 20 25 25 25 30 30 55 55 Frequency Donations to Charity 10 19 20 29 30 39 40 49 50 59 Donations in Dollars Which measure of center should the charity use to accurately represent the data Explain your answer O The median of 22 7 is the most accurate to use to show that they have plenty of money O The mean of 20 is the most accurate to use to show that they need more money O The median of 20 is the most accurate to use since the data is skewed The mean of 22 7 is the most accurate to use since the data is skewed

At a hotel each double room has 25 more square feet of floor space than each single room If 2 double rooms and 4 single rooms have a total of 1 400 square feet of floor space how many square feet of floor space does a double room have

4 An isosceles triangle has perimeter T and sides of length x x and y Which of the following represents x in terms of T and y A x T y B x T 2y T 2y 2 Sing C x D x T y

A truck traveled at an average speed of 70 miles per hour for 4 hours and had a fuel efficiency of 18 miles per gallon Approximately how many gallons of fuel did the truck use for the entire 4 hour drive A 4 B 10 C 16 D 20

5 When 6 times the number n is subtracted from 8 the result is 20 What is the result when 3 times the number n is subtracted from 5 essile fat A 2 in naidv B 8 C 11 D 20

What is the measure of angle x 84 128 87 103 168 192 60 84 150 72 540 108 360 X 1 point What is the measure of angle 1 given the figure shows a regular polygon

points Use the Venn Diagram to answer the following 0 10 0 20 0 30 0 60 P A n B P Q P A 0 6 0 2 P B 0 1 A and B are inclusive events 0 1