Area Questions and Answers

You will receive a thumbs up Be sure to explain steps 3 A right circular cylinder can is to be designed to hold 17 cubic inches of a liquid The cost for the material for the top and bottom of the can is 12 per square inch while the cost for the material of the side of the can is 4 per square inch Let r 3 represent the radius and h the height of the cylinder The surface area of the side of a cylinder is A 2pirh the surface area of a circle is A pir 2 and the volume of a cylinder is V pir 2h Write the primary and constraint equations needed to minimize the total cost of making the can

You want to enclose a rectangular region with 100 feet of fencing Express A w the area of the region as a function of its with A 22

arks Science Ecology a E Edulastic omplicated Prisms bawi 1 unit T

2 A right square pyramid and its dimensions are s 4 m

More Complicated Prisms Anas Al Tibawi A triangular pris

A pulley system consists of a 10 inch wheel and another whose radius is unknown A point on the rim of the wheel of unknown radius moves 450 inches when it revolves through an angle of 225 degrees Find the angle in degrees the 10 inch wheel turns through Show Work Please

The height of the water H in feet at a boat dock t hours after 6 A M is given by H 27 9 sint Complete par a c a Find the height of the water at the dock at 6 A M 9 A M noon 6 P M midnight and 3 A M The height of the water at the dock at 6 A M is The height of the water at the dock at 9 A M is The height of the water at the dock at noon is The height of the water at the dock at 6 P M is The height of the water at the dock at midnight is The height of the water at the dock at 3 A M is ft b When is low tide and when is high tide Choose the correct answer below ft ft ft ft ft A Low tide is 3 A M High tide is at 9 A M OB Low tide is at noon High tide is at midnight OC Low tide is 3 A M and 3 P M High tide is at 9 A M and 9 P M O D Low tide is 9 A M and 9 P M High tide is at 3 A M and 3 P M OE Low tide is 3 A M and 6 P M High tide is at 6 A M and 3 P M OF Low tide is 6 AM and 3 PM High tide is at 3 A M and 6 P M

Suppose that you have 760 feet of rope and want to use it to make a rectangle What dimensions should you make your rectangle if you want to enclose the maximum possible area The length should be feet The width should be The total area enclosed is feet square feet

Given figure ABDC is a rectangle which of the work shown below could be used to verify analytically that the diagonals would bisect one another 1 2 Slope AD Slope BC 3 3 3 1 1 2 2 2 4 Slope AC 5 1 Slope DB 2 2 4 5 2 Slope AB 2 Slope CD E Midpoint AD 0 1 5 Midpoint BC 2 0 1 5 Midesist RBD Midpoint AB 1 35 Midpoint CD 1 0 5 Midpoint AC 4 3 0 2445 3 3 3 A 7 65 C 2 1 21 B D

0 1 pt 398 Details A point on the x axis that is equidistant from the points 10 9 and 6 10 is

using the isoceles triangle If the base angle two measures 87 find the measu of the two missing Angles vertex bus oloits 2

What is the measure of the angle of one slice of pizza if the length of the crust arc is 4 9 in and the length of one side of the slice is 6 2 in 4 9in 6 2in 0000 45 28 52 7 32 9 14 61

Find the length of the arc 6 cm 847T 24 8 cm 12 cm 196 cm cm 240

Find the area of the indicated sector 30 18 mi 49 mi 4 27 mi 11 mi 3 2023T 2023 mi 12

What is the radius of the circle in the following equation x 1 2 y 7 2 91 Round your answer to the nearest hundredth if necessary

What is the y coordinate of the center of the circle in the following equation x 3 y 4 44 Round your answer to the nearest hundredth if necessary Type your answer

Question 1 1 point Consider the following measures shown in the diagram with the circle centered at Point A Determine the arc length of CB i e Find the length of the arc intercepted by a central angle of 40 and a radius of 6 cm O cm 4 3 2x 0 cm 3 84 O 3 55 3 cm cm A 40 6 cm B 114 x C Figure may not be drawn to scale

Diameter A is 20 cm and diameter B is 5 What is the ratio of circumference A to circumference B 20 5 4

Which equation below best describes the circle shown in the graph 0 2

What is the midpoint of the segment AB given point A 5 2 and point B 1 8 2 3 O 6 10

Which best describes the relationship between the two lines described below Line a 2x 4y 8 Line b 3x 6y 12 perpendicular parallel Osame line Oneither parallel nor perpendicular

Find the volume of the solid bounded by the hyperboloid of one sheet an ellipse with semiaxes a and b is rab A 2645 33 units B 103 11n units 110 22m units 04 70 3 1 and the planes z 2 and z 2 The area o

12 120 The car travels along the circular path such that its speed is increased by at 0 5e m s where t is in seconds Determine the magnitudes of its velocity and acceleration after the car has traveled s 18 m starting from rest Neglect the size of the car s 18 m p 30 m D 120

F12 31 If the motorcycle has a deceleration of at 0 001s m s2 and its speed at position A is 25 m s determine the magnitude of its acceleration when it passes point B 90 300 m

Find the missing length indicated 36 O 64 O 36 O 32 O 42 60 None of the other answers are correct

Find the missing length indicated 81 X O 36 O None of the other answers are correct O 27 108 O 225

A right triangle has legs of lengths 9 cm and 12 cm What is the length of the hypotenuse O 22 cm O 14 cm O 25 cm O 15 cm

Determine the geometric mean of 45 and 15 O 15 3 O 15 O None of the other answers are correct O 20 6 O 15 6

Find the value of each variable Round any radical to the tenths place 3 1 7 y Z 8 N 30 X type your answer I y type your answer typo your 45 10 6

A certain forest covers an area of 2900 km Suppose that each year this area decreases by 7 What will the area be after 5 years Use the calculator provided and round your answer to the nearest square kilometer km

Given the quadratic function f x 3 x 6 2 3 what is the axis of symmetry x Your Answer Answer Question 2 2 points Given the quadratic function f x 4 x 8 2 6 what is the x coordinate of the vertex Your Answer Answer

Two containers designed to hold water are side by side both in the shape of a cylinder Container A has a radius of 4 feet and a height of 15 feet Container B has a radius of 7 feet and a height of 9 feet Container A is full of water and the water is pumped into Container B until Container A is empty After the pumping is complete what is the volume of water in Container B to the nearest tenth of a cubic foot Container A h 15 play Container B r 7

5 Graph the altitude AZ of AABC Determine the slope of AZ Determine the area of AABC 7 6 C A 5 3 2 3 2 1 O B

4 2 11 Review Solve for x and y in the diagram below y 23 63 2x 17

2 SAT Question Systems of Equations If the ordered pair x y satisfies the system of equations below what is one possible value of x y x 4x 4 y 4 x

Leg 11 meters Hypotenuse 15 meters

Questions 37 and 38 refer to the following information According to a well known statistics theorem if patients enter a medical clinic at a rate of m patients per minute and each stays at the clinic an average of W minutes the average number of patients L in the clinic at any point in time is given by L mW The manager of the Kind Care clinic estimates that when the clinic is open an average of 4 patients per minute enter the clinic and that on average each of them stays 45 minutes The manager uses the above theorem to estimate that at any point in time there are 180 patients in the clinic A rival clinic the Speedy Care clinic recently opened across the street The manager of this clinic estimates that when the clinic is open an average of 324 patients per hour enter the clinic and that on average each of them stays 40 minutes The average number o patients in the Speedy Care clinic at any point in time is what percent greater than the average number of patients in the Kind Care clinic at any point in time Note Disregard the percent sign when gridding in our answer For example if your answer is 38 4

Which line graphed below has a slope of 0

Question What is the equation of the line graphe 543 2 2 m S Oy 3x 3 Oy 3x 2 O7 1 3 X x 2 1 2 3 b

Question 18 4 points A pyramid is created with a right triangle base and two of the other faces are also right triangles as shown in the diagram Using the provided measures find the approximate volume of the solid 120 cm 90 cm 162 5 cm 180 cm 13 cm E Figure may not be drawn to scale

Determine the approximate area of the concave figure shown You may assume that any 2 consecutive sides of the polygon are perpendicular Figure may not be drawn to scale 20 cm 24 cm 26 cm 28 cm 4 cm 2cm 2 cm

Question 9 6 points What is the approximate sector area of a sector created by circle with a radius of 9 meters and a 260 central angle i e the shaded region Figure may not be drawn to scale 40 8 S8 S 70 7 18382 260 D A 9m C

4 The length of one side of the square below is 20 Determine the perimeter of the square in simplest radical form

ing 112 feet tall with an initial velocity conds is s 112 96t 16t 2 f the building on its way down

In the figure below g Il n Find the values of z and x 00 g n 5x 67 82 N X 0 X

In the figure below n h Find the values of z and y He 6y 49 77 Z y X Espa

In AABC AB DE Given that CD 18 CB 52 and CE 24 find CA A D E B CA 0 Espa ol X S

C 3 D AD 8 6 F 3 E T 6 O Yes SF 3 4 O Yes SF 4 3 OYes SF 8 3 O No Question 2 8 R ligures below are similar If they are what is the scale factor from the smaller quadrilateral to the larger one 4 12 Determine if the two figures below are similar If they are what is the scale factor from the larger triangle to the smaller one Q O Yes SF 2 O Yes SF 1 4 4 S 8 R T

For the simple harmonic motion described by the trigonometric function find the maximum displacement the frequency the value when t 6 and the least positive value of t for which d 0 Use a graphing utility to verify your results d cos 18 mt a Find the maximum displacement b Find the frequency cycles per unit of time c Find the value of d when t 6 d Find the least positive value of t for which d 0

3 Find the equation for the graph given below 3 8 5 5 AMA 5 1 8 1 7 8 1