Math - Others Questions

A woman wants to measure the height of a nearby building She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building The total length of the building s shadow is 166 ft and the pole casts a shadow that is 5 5 ft long How tall is the building Round your answer to the nearest foot The figure is not drawn to scale Shadow of pole Pole Shadow of building Sun Building ft

In the figure below m3 111 Find mZ1 m42 and m 24 4 3 1 2 m 21 m 22 m 24 0

Are the triangles below acute obtuse or right Triangle A 55 75 Acute Obtuse O Right 50 40 Triangle B 10 Acute Obtuse Right 30 55 Triangle C Acute Obtuse Right 35 50 Triangle D Acute Obtuse Right 80 50

Amazon com Inc AMZN is one of the largest Internet retailers in the world Netflix Inc NFLX provides digital streaming and DVD rentals in the United States Amazon and Netflix compete in streaming and digital services however Amazon also sells many other products through the Internet The sales and total assets in millions from recent financial statements were reported as follows for both companies Amazon Netflix Total revenues sales 135 987 8 831 Total assets Beginning of year End of year 64 747 10 203 83 402 13 587 a Which of these assets are used by Netflix Inc to generate revenu a DVD content library b Distribution centers c Streaming content library d Manufacturing plant 1 a and b 2 a and c 3 a and d 4 b and c b Compute the asset turnover ratio for each company Round to two decimal places Amazon Netflix Asset turnover ratio c Which company generate sales

In the figure below m42 39 Find m41 m43 and m44 T st 3 m 41 m 23 O C m 4

Are the triangles below acute obtuse or right 35 Triangle A Acute Obtuse O Right 55 50 80 Triangle B Acute Obtuse Right 50 60 Acute Obtuse Right Triangle C 60 60 30 Acute O Obtuse Right Triangle D 110 40

ur departments of a company need to order the following amounts of the same products Memo epartment Paper Tape Binders Pens Pads 1 11 3 4 5 7 2 7 4 4 8 7 1 2 4 3 4 aper pe nders emo ads ens 4 0 4 1 e unit price in dollars of each product is given below for two suppliers Supplier A Supplier B 4 5 1 1 4 4 3 4 1 0 4 11 6 a Use matrix multiplication to get a matrix showing the comparative costs for each department for the products from the two suppliers A B Dept TIL Dept 2 Dept 3 Dept 4 b Find the total cost over all departments to buy products from each supplier From which supplier should the company make the purchase O A The total cost for supplier A is and the total cost for supplier B is should make the purchase from supplier B OB The total cost for supplier A is and the total cost for supplier B is should make the purchase from supplier A so the company so the company

A soccer goal is 12 yards wide Suppose a goalie is standing on her line in the center of her goal as a striker from the opposing team moves the ball towards her The near post angle x is formed by rays extending from the ball to the near post and the goalie Similarly the far post angle is formed by rays extending from the ball to the far post and the goalie See the figure a Determine the near post angle and the far post angle when the striker is 28 yards from the near post and 32 yards from the far post b How far is the goalie from the ball c To cover the near post the goalie moves toward the near post in order to make the near post angle and the far post angle equal How far toward her near post does the goalie need to move a Near post B Goalie Far Do

59 6 A positive angle less than 2 that is coterminal with 59 6 is

19T 4 A positive angle less than 2x that is coterminal with 19T is

16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 1 3 5 6 7 8 9 10 11 12 The curve above is the graph of a sinusoidal function It goes through the points 12 0 and 2 0 Find a sinusoidal function that matches the given graph If needed you can enter T 3 1416 as pi in your answer otherwise use at least 3 decimal digits f x

Which of the following graphs is the correct plot of y 3 cos x TT 3 2 4 2 2 2 5 1 J 2 O 2 3 3 4 15 5 2 in O 6 C 4 2 1 3 1 2 3 4 40 5 6

Choose the correct graph below Draw the angle in standard position State the quadrant in which the angle lies Work the exercise without converting to degrees 11T 6 O A x The angle is in quadrant OB point s possible O C Submit test O D

Use properties of logarithms to evaluate the expression without using a calculator 4 log25 5 8 log25 5 log25 625

Find the perimeter of the following polygon Be sure to include the correct unit in your answer 18 in 12 in 12 in 11 in X f

5 4 3 Amplitude Period 8 7 Midline V 6 5 4 3 1 2 Based on the graph above determine the amplitude midline and period of the functia 6

Find a counter example to show that the following statement is fa real numbers x and y x y x y

Which of the following graphs is the correct plot of Y 3 2 5 54 3 3 2 1 st 1 2 C 3 4 5 4 15 6 4 3 d 1 a st 1 2 3 4 5 4 sin x 6 5 4 3 2 1 2 3 4 D st 1 2 O 4 5 6

Use the properties of logarithms to expand each logarithm as much as possible When possible select from the dropdown instead of entering a negative number a log y 7 log x log y b ln y Y ln y In 4 y 4 y

nd the perimeter of the following polygon Be sure to include the correct unit in your answer 11 cm 15 cm 12 cm 11 cm 0 mm km X

The graph of y sinx is shown to the right Use transformations vertical shifts horizontal shifts reflections stretching or shrinking of this graph to graph the following function Then use interval notation to give the function s domain and range f x sin x 5 T O A 6 Choose the correct graph below Q B AV 2x1 3 C U OT KIN 3 Q 4

Use a sketch to find the exact value of the following expression cos tan 1 3 O A Which of the following triangles can be used to find the exact value of the given expression Ay Ve r 3 X X y 2 B Ay Ve 0 r 3 x 2 y Part 1 of 2 Q O C Ay Ve 0 x 3 X y 2 Points U of 1 O D Ve x 2 X y 3 Do Q

6 sec sin 2 giver cos 2 and 73 3 sin 0 In what quadrant does 23 terminate 5

The new dolphin tank at the city aquarium is in the shape of a rectangular prism It is 29 yd long by 12 yd wide by 5 yd deep To make the tank livable for t dolphins the aquarium workers treat the water using bags of salt The amount of water a bag of salt can treat is known in cubic feet a Find the volume of water in the tank in cubic feet Use the table of conversion facts as needed 3 ft b To make the tank livable for the dolphins a bag of salt must be added for each 19 4 ft of water The aquarium doesn t have any salt on hand and the salt can only be purchased in whole bags How many bags of salt must be purchased to treat the water bags c If each bag of salt costs 4 85 how much must the aquarium pay for salt to treat all the water in the new dolphin tank Conversion facts for length 1 foot ft 12 inches in 3 feet ft 1 yard yd 1 yard yd 36 inches in

1 Show all work neatly and in an organized manner to get full points a Find an angle less than 360 degrees co terminal with i 760 ii 5 23 b B 4000 miles 8 The distance between two cities on the Earth can be calculated using the arc length formula s r0 where r is the radius of the Earth 4000 miles and 0 is the difference in latitudes in radians Choose any two cities in the same time zone Google their latitu and calculate the distance between them Then use Google Maps or such a tool to check your answer Show your results

ind the perimeter of the following polygon Be sure to include the correct unit in your answer 7 cm 10 cm 10 cm 16 cm 17 cm 7 mm km X

Assume x is a particular real number and use De Morgan s laws to write negation for x 3 or x 7

Approximate the definite integrals of the following functions Given the definite integral of S e x 1 dx n 6 use Trapezoidal Rule What is the value of 2f x3 2 1234545634789 1 5678902345566

Linda built a compost bin in the shape of a rectangular prism The bin is 60 in long 48 in wide and 24 in deep After the compost cycle is complete the bin be full of potting soil that Linda can sell at a farmer s market The potting soil will be packaged in bags The amount of soil each bag can hold is known in cub feet a Find the volume of the compost bin in cubic feet Use the table of conversion facts as needed 3 ft b Linda is going to put the potting soil in bags Each bag holds 0 35 ft of the soil She is going to bag up as much soil as possible but she won t partially fill any bags How many whole bags will she fill bags c The bags will sell for 5 29 each If Linda sells all the bags how much money I will she collect Conversion facts for length 1 foot ft 12 inches in 1 yard yd 3 feet ft 1 yard yd 36 inches in

1 tan cos 3 Which of the following sketches is used to find the exact value of the given expression O A Q N 07 1 OB 8 X O C X 0 8 1 D 0 8

A kitchen has a tabletop that is a rectangle 36 in long and 24 in wide Lucy is an interior designer and wants to cover the tabletop in small tiles She knows the area each bag of tiles covers but only in square centimeters a Find the area of the tabletop in square centimeters Do not round intermediate computations and round your final answer to two decimal places Use the table of conversion facts as needed 2 cm b The designer wants to cover the tabletop with tiles She doesn t have any to begin with and she can t buy partial 2 bags of tiles Each bag of tiles covers 495 cm How many whole bags of tiles does the designer need to buy to completely cover the tabletop bags c If each bag of tiles costs 4 51 how much will she need to spend on tile Write your answer to the nearest cent Conversion facts for length 2 54 centimeters cm 1 inch in 1 foot ft 30 48 centimeters cm 1 yard yd 0 91 meters m 1 mile mi 1 61 kilometers km Note that means is approximately equal For this problem treat as if it were

A farmer has farmland that is a rectangle 3 km long and 2 5 km wide He wants to completely cover the farmland in dirt He knows the area each truckload of dirt covers but only in square miles a Find the area of the farmland in square miles Do not round intermediate computations and round your final answer to two decimal places Use the table of conversion facts as needed 2 mi b The farmer wants to cover his farmland with dirt He doesn t have any to begin with and he can t buy partial truckloads of dirt Each truckload of dirt covers 0 8 mi How many whole truckloads of dirt does the farmer need to buy to completely cover his farmland truckloads c If each truckload of dirt costs 65 18 how much will he need to spend on dirt Write your answer to the nearest cent Conversion facts for length 1 inch in 1 foot ft 1 yard yd 1 mile mi 1 61 kilometers km Note that means is approximately equal t For this problem treat as if it were B 2 54 centimeters cm 30 48 centimeters cm 0 91 meters m

A kitchen has a tabletop that is a rectangle 61 cm long and 46 cm wide Jenny is an interior designer and wants to cover the tabletop in small tiles She knows the area each bag of tiles covers but only in square inches a Find the area of the tabletop in square inches Do not round intermediate computations and round your final answer to two decimal places Use the table of conversion facts as needed 2 b The designer wants to cover the tabletop with tiles She doesn t have any to begin with and she can t buy partial bags of tiles Each bag of tiles covers 65 in How many whole bags of tiles does the designer need to buy to completely cover the tabletop bags c If each bag of tiles costs 3 27 how much will she need to spend on tile Write your answer to the nearest cent Conversion facts for length 1 inch in 2 54 centimeters cm 1 foot ft 30 48 centimeters cm 0 91 meters m 1 yard yd 1 mile mi 1 61 kilometers km Note that means is approximately equal t For this problem treat as if it were

Tom s rectangular flower bed measures 121 cm long and 89 cm wide He wants to cover the flower bed in mulch He knows the area each bag of mulch covers but only in square feet a Find the area of Tom s flower bed in square feet Do not round intermediate computations and round your final answer to two decimal places Use the table of conversion facts as needed 2 ft b Tom wants to cover his flower bed with mulch He doesn t have any to begin with and he can t buy partial bags of 2 mulch Each bag of mulch covers 1 7 ft How many whole bags of mulch does Tom need to buy to completely cover his flower bed bags c If each bag of mulch costs 3 47 how much will he need to spend on mulch Write your answer to the nearest cent Conversion facts for length 1 inch in 1 foot ft 1 yard yd 0 91 meters m 1 mile mi 1 61 kilometers km Note that means is approximately equal to For this problem treat as if it were 1 2 2 54 centimeters cm 30 48 centimeters cm

The pentagons ABCDE and JKLMN are similar Find the length x of KL A 3 E 2 B 5 4 C D J 1 8 N 1 2 K 3 X L 1 8 M

2 yd deep To haul away all of the dirt from the hole a dump truck will take trips to a nearby landfill The crew knows the amount of dirt the t trip in cubic feet a Find the volume of dirt that will be hauled away in cubic feet Use the table of conversion facts as needed 3 ft b Each trip the truck can haul away 290 ft of dirt To save gas the crew wants to take as few trips as necessary to haul all of the dirt away Since all of the dirt needs to be hauled away the crew might have to take a partial load for one trip How many trips are needed to haul away all of the dirt Count each trip it makes the same even if the truck isn t full trips c If it costs 1075 for each trip that the truck makes how much will it cost to haul away all the dirt S Conversion facts for length 1 foot ft 12 inches in 1 yard yd 3 feet ft 1 yard yd 36 inches in

A rectangular field is 350 meters long and 300 meters wide What is the area of the field in square kilometers Do not round your answer km 2 X Conversion facts for length 1000 millimeters mm 1 meter m 100 centimeters cm 1 meter m 10 decimeters dm 1 meter m 1 decameter dam 10 meters m 1 hectometer hm 100 meters m 1 kilometer km 1000 meters m

Over what interval s is the graph of the rational function decreasing 4 2 y 4 2 A E IN a x 2 2 x 1 b 2 x 4 c 2 x x4 dx1 x 4

k A reciprocal of a quadratic function has the form f x x r x s kER k0 The graph is shown as below If r 1 s 2 and the minimu value of f x is 0 8 over the interval 1 x 2 Determine the value of k rounded to one decimal place Show your work by attaching a file IN SI This graph is not to be scaled A

3 What is true about the function f x 6x 5 as XX Oa f x 0 from below Ob b f x O c f x c d f x 0 from above

Match the graph with its function 1 2 M N 0

Question 1 1 point State the range of f x 1 f x 3x 4 O E a y R y 0 Ob ye Ry Od ye Ry 0

At a factory a worker measures liquid using a beaker that has a volume of 54 7 mL Find how many cubic decimeters of water will completely fill the beaker Use the table of conversion facts as needed 3 dm Conversion facts for volume and capacity 1 cubic centimeter cm 1 milliliter mL 1 cubic decimeter dm 1 liter L 1 cubic meter m 1 kiloliter KL

A fish tank has a volume of 768 L Find how many cubic centimeters of water it would take to completely fill the fish tank Use the table of conversion facts as needed cm 3 X S Conversion facts for volume and capacit 1 milliliter mL 1 cubic centimeter cm 1 cubic decimeter dm 1 liter L 1 cubic meter m 1 kiloliter KL

x r x s A reciprocal of a quadratic function has the form f x k R k 0 The graph is shown as below If r 1 s 2 and the minimu value of f x is 0 8 over the interval 1 x 2 Determine the value of k rounded to one decimal place Show your work by attaching a file S This graph is not to be scaled h

5 csc 2 with Be 3T 2 cos a B given cos a 11 6 with a 0 ar

What is true about the function f x Oa f x Ob f x c f x 0 from above Od f x 0 from below 1 x 6x 7 as x 1

9 Which statements are correct about the function f x 29 The function has no horizontal asymptote The range of the function is R y ER y 1 or y 0 The range of the function is R y R y 0 The function has two vertical asymptotes at x 3 and 3

1 State the range of f x 3x 4 O a y R y 0 b y R y Oc y R y 0 c Od ye Ry d E

A rational function has the form f x ax 1 2x d determine the value of a and if f x has a horizontal asymptote at y 2 and a vertical asymptote at 1 2 Enter the value of a and d in box 1 and 2 respectively x Blank 1 Blank 2 A N