Area Questions and Answers

19 For the quadratic function f x 2x 2x 5 a Find the vertex and axis of symmetry of the quadratic function and determine whether the graph is concave up or concave down b Find the y intercept and x intercept if any c Find the domain and range of the quadratic function d Determine where the quadratic function is increasing and where it is decreasing e Determine where f x 0 and where f x 0 f Graph the function

2 y 3x y x 6 2 y x x 3 y x 3 y 3x y x 6 y x 6 A y x 6 y x 3 y 6 x 2 y x 3 y 6 x Drag the function given above into the appropriate area below to match the graph e 57 0

12 10 8 6 y 12 10 8 10 10 20 20 30 30 40 40 50 O 12 y 10 81 y 12 10 8 21 10 10 20 20 30 30 40 40 50 b Solve for the input value s at which the graphs of f and g intersect Round your answer to three decimal places 20 901 X c Calculate the area of the region between the graph of f and the horizontal axis from a to b minus the area of the region betw the graph of g and the horizontal axis from a to b Round your answer to three decimal places 149 394 d Calculate the total area of the shaded region s Round your answer to three decimal places 54 203 X

A cylinder with a height of 5 ft and a base radius of 4 ft is shown Answer the parts below Make sure you use the correct units in your answers If necessary refer to the list of geometry formulas a Find the exact surface area of the cylinder Write your answer in terms of Exact surface area 0 b Using the ALEKS calculator approximate the surface area of the cylinder To do the approximation use the button on the calculator and round your answer to the nearest hundredth Approximate surface area 0 010 ft JT ft ft 5 ft 4 ft

3 Alicia has 80 marbles Teddy has 110 marbles and Marty has 60 marbles Thirty percent of Alicia s marbles are blue forty percent of Teddy s marbles are blue and seventy percent of Marty s marbles are blue If Alicia Teddy and Marty combine all their marbles what percentage of the marbles will be blue

man Academy the school day begins at 8 00 am and ends at 3 30 pm When science class begins at 1 15 pm what percentage of the school day remains

The diameter of a circle is 14 cm Answer the parts below Make sure that you use the correct units in your answers If necessary refer to the list of geometry formulas a Find the exact area of the circle Write your answer in terms of Exact area 14 cm b Using the ALEKS calculator approximate the area of the circle To do the approximation use the button on the calculator and round your answer to the nearest hundredth Approximate area 010 J cm cm X cm

Darrius is in an interview for an online customer service manager position with a national telecommunications company He is asked the following question Tell me about a time you had difficulty working with a supervisor or coworker How did you handle the situation Darrius responds At my current job we were switching to a new call waiting system My coworker was absent for the new system training session When he returned to work he didn t take the time to learn the new system Consequently calls to our customer care division kept getting dropped This reflected poorly on our entire team Another coworker and I offered to train him how to use the system properly but he refused What could Darrius do to improve his response to the interviewer s behavioral question O Expand on his current job by explaining how the new system will increase efficiency and is important to the overall success of the company Elaborate on the description of the action he took and provide a result that connects to the current position he is applying for O Provide more description about who the coworker was and why he was absent during the training for the new system To succeed in an interview you need to be aware of what to expect what is acceptable and how to best present your qualifications Be prepared to demonstrate your qualifications by learning to recognize what interviewers are asking asking appropriate questions of the interviewer and closing

Use the Table command and the future value formula on Page 271 Page 305 2nd edition of the Mathematica Companion to compute the value of an ordinary annuity at the end of the first 10 years if the annuity earns 5 annual interest compounded annually and if the annual payments are 12 000 OA 12000 24600 37830 51721 5 66307 6 81623 97704 1 104589 132319 150935 132319 150935 OB 12000 24600 37830 51721 5 66307 6 71623 97704 1 114589 OC 12000 24600 37830 51721 5 66307 6 81623 97704 1 114589 132319 150935 OD 12000 24600 37830 51721 5 66307 6 81623 97704 1 114589 122319 150935

Find the equation of the line through 5 4 that is perpendicular to the line through 1 6 6 Be sure to enter your answer as an equation The equation is

The width of a rectangle is 4 less than twice its length If the area of the rectangle is 84 cm what is the length of the diagonal The length of the diagonal is Give your answer to 2 decimal places cm Note Since you are looking for the diagonal you will want to use the pythagorean theorem a b c 2

8T 8 260 Sketch in standard position and label Weight

GEOMETRY Distinguishing between the area a The figure below shows a rectangular win 34 in 62 in a Use the calculator to find the area and Make sure to include the correct units

In triangle ABC angle C is a right angle Find the value of the trig function indicated Find cos A if c 25 a 7 25 24 24 25 O 7 25

cylinder at the top and a cone at the bottom The diameter of the cylinder is 2 5 meters The height of the grain in the right circular cylinder portion is 4 meters The height of the cone portion is 2 meters The density of grain is 790 kilograms per cubic meter T 4 meters 2 meters T Set up the integral s needed to calculate the work required to empty the entire tank by pumping the grain out from the bottom Be sure you carefully use units in your integrals and show support diagrams to show what you are thinking Integrate and give your final

du dt e 2u 2t that satisfies the initial condition u 0 17

9 Monica retiled her square kitchen for 338 If the company she used charged 2 per square foot how wide is her kitchen Area Width 1 square feet feet

Find the area of each triangle to the nearest tenth 7 B 6 km A 100 16 km C 3 O 8 16 yd K 29 1

www awu aleks com alekscgi x Isl exe 1o u IgNslkr7j8P3jH GEOMETRY Area involving rectangles and triangles A right triangle is removed from a rectangle to create th your answer If necessary refer to the list of geometry formulas

1 Select the expression that is equivalent to m 25 m 10m 25 B m 10m 25 m 5 m 5 D m 5

GEOMETRY Word proble An aquarium is to be the aquarium at a ra

wu aleks com alekscg GEOMETRY Word problem in empty swimming pool

awu aleks com alekscgi x Isl e O MEASUREMENT Surface area of a cube of nd the surface area of this rect

What is the volume of this triangular pyramid 33 yd 58 yd 7 45 yd cubic yards

What is the volume of this triangular pyramid 65 cm 66 cm 45 cm cubic centimeters

5 The coordinate points of triangle ABC are A 5 0 B 2 1 and C 4 4 The triangle is translated 8 units right and 5 units down What are the coordinates of the resulting triangle A B C A A 5 5 B 2 4 and C 4 9 B A 13 5 B 10 4 and C 4 9 CA 13 5 B 10 4 and C 4 9 DA 3 5 B 6 4 and C 4 9

What is the volume 68 ft 68 ft 68 ft cubic feet

What is the volume of this rectangular pyramid 11 cm 9 cm 7 9 cm cubic centimeters

Find the area of the figure Sides meet at right angles 5 ft 2 0 ft 5 ft 2 ft 4 ft 14 ft 2 ft X 5 ft 5 ft Espa ol

What is the volume 10 in 19 in 13 in cubic inches

Which segment is the hypotenuse PG PZ N G P

When 6x 2 32x 16 is divided by a polynomial the quotient is 6x 2 and the remainder is 6 Find the polynomial

7 10 points Let ABCD be a parallelogram 3 DE EC 2 DF 3 FB and A BEC 15 cm Find A AFB Area of AFB 15 cm B

The volume of this cylinder is 4 396 cubic inches What is the height Use 3 14 and round your answer to the nearest hundredth h 10 in inches h

What is the volume of this rectangular pyramid 14 in XL 18 in 18 in cubic inches

4a Consider the triangle below Find the exact value of b 42 b 45

What is the volume 2 m 8 m 3 m cubic meters

8 SPIRAL 3 03 Which of the following reasons could you not use to prove two lines are parallel a same side interior angles are supplementary b alternate interior angles are congruent c corresponding angles are congruent d linear pairs are supplementary

oubles every hour If there are 1000 bacteria at the beginning of the experimen del the number of bacteria 1000 ill there be after 12 hours

4 In right triangle GHL above determine sin G sin H cos G cos H What do you notice about the sin G and cos H tan G tan H 2 1

Firefighters just arrived at the Farquand building with a rescue truck Mr Farquand is stuck on a window ledge 44 feet directly above the top of the truck The base of the ladder is a horizontal distance of 33 feet away from the building Using the Pythagorean Theorem determine how long the ladder must extend to reach Mr Farquand 00 55 feet 44 feet 33 ft 3025 feet O 77 feet 44 ft

Find the missing lengths O x 10 y 5 Ox 5 3 y 5 Ox 10 y 5 3 Ox 5 3 y 5 3 10 Nong of the other answers are correct 30 X

Which of the given side lengths form a right triangle 9 in 12 in 13 in 15 in 12 in 9 in 12 in 9 in 17 in 21 in 12 in 9 in None of the other answers are correct

A fishing trawler off the coast of Alaska was ordered by the U S Coast Guard to change course They were told to travel 6 miles west and then sail 12 miles south to miss a large iceberg before continuing on the original course How many miles out of the way did the trawler travel Round your answer to the nearest tenth miles

Shari went to a level field to fly a kite She let out all 650 feet of the string and tied it to a stake Then she walked out onto the field until she was directly under the kite which was 600 feet from the stake How high was the kite from the ground feet

Directions Complete the forma below bl b 2 m Workspace Tulips should be planted three inches a trapezoidal plot for a flower garden tulips along the parallel sides of the go feet long Tulips are sold in bags of 25

Use Heron s formula to find the area of the triangle Round to the nearest square foot Side a 7 feet Side b 7 feet Side c 4 feet The area is approximately square feet

Mr Gary sketched a scale drawing of his new rectangular patio which was to be 30 feet by 24 feet In the drawing 1 5 centimeters represented 3 feet What were the dimensions in inches of Mr Gary s drawing A B C D 10 cm by 8 cm 15 cm by 12 cm 20 cm by 16 cm 45 cm by 36 cm

Synthetic Division of Po 1 x4 3x 3x 2x 1 x 4 2 5x6 3x4 7x 7 x 2 3 3x4 12x 5x 18x 8 x 4 F 5x 6x 3x 14 x 1 on

Marquez owns a company that produces metal fire pits and sells them for 250 00 The company s weekly profit P x can be modeled by the function P x 0 5x 40x 300 where x is the number of 1 50 price increases for each fire pit Use the graph below to answer the question profit 1000 800 600 400 200 0 450 00 10 310 00 20 30 40 50 60 Approximately what amount should the company sell each fire pit for to maximize profit 2 points O 700 00 70 80 number of price increases