Coordinate system Questions and Answers

A trapezoidal fuel tank has a height of 9 feet one base of 28 875 inches and another base of 41 125 inches If this tank can hold 7893 82 pounds of jet fuel what is the width of the tank to the closest foot 6 ft 72 3 in 37 2 in

A cylindrical shaped oil tank has a diameter of 6 inches and holds 26 pounds of oil What is the total surface area of this tank Hint Find the volume of the tank first Then find the height of the tank The total surface area is the sum of the areas of the two end caps and an area of a rectangle formed by the tank height and the circumference of the end cap 905 7 in 590 7 in

4 points If this oil tank was made out of 090 aluminum how many cubic inches of aluminum would be used in the fabrication of the tank Hint Remember the end caps and the thickness is the third dimension 18 125 15 in 158 9 in 178 12 in 26h

Remember to add the appropriate sign when necessary When you have answered all the questions you must click tap the Submit button to complete this project 4 points If the owner of an airplane wanted a single 120 gallon tank installed in the fuselage and the fuselage had a diameter of 27 inches how long we the tank have to be Hint Find the volume of the tank first Then find the height length of the cylinder using the volume formula 24 7 57 48

For Items 7 10 use the figure shown A O B 13 C 43 C b 134 76 15 What is the length of side b OD 169 D 24 0

4x All 312 23 2x 146 2 23 and me2 68 what is meg 12 423 B68 CRC

Sketch y f x 3 x intercepts and relative minimums PANZA

Identify the conic given by the polar equation 5 then determine its directrix and eccentricity 2 4 cos 0 The conic is a The directrix is parallel to the The equation of the directrix is the line enter x or y

Let A 4 3 and B 7 1 be points in the plane Find the polar equation of the circle with center A that passes through the point B Also find the polar equation of the line AB and for the line through A perpendicular to the line AB Finally sketch the two lines and the circle on one graph

For Items 1 10 use the figure shown O O n What is the length of side a C 43 134 76 ID

Use the figure shown A 44 1 B What is the measure of side a 11 C

A graph of f x is shown below Carefully complete the following transformations on a 5x5 grid A Graph f x 1 B Graph f x 1 C Graph f x D Graph f x E Graph 2 f x F Graph f 2x

Sketch a graph of a function that has the following characteristics Domain 4 6 Range 5 5 Interval over which increasing 2 0 u 4 6 Interval over which decreasing 4 2 u 0 4 Interval over which positive 4 3 Interval over which negative 3 6 Vertical intercept 0 2 Horizontal intercepts 3 0 and 6 0 f 4 4

To receive FULL credit you must show ALL work on your final submission For the quadratic f x x 4x 21 Find the A factored form f x B vertex form f x C Find the line of symmetry x y intercept x intercepts and vertex point D carefully graph on grid paper including the vertex x intercepts y intercept and one other point using symmetry You may check the graph on Desmos but neatly graph it yourself on graph paper or answer sheet Type the word graph

TUVW is a rhombus What is the measure of x X 100 X

Select all the statements that would provel m 0000000 2 6 1 8 25 is congruent with 27 23 and 26 are supplementary 23 is congruent with 25 22 is congruent with 24 23 and 22 are supplementary 27 and 28 are supplementary 22 is congruent with 26 1 point Which value for x would make a b 4x 30 2x b

Find the zeros of f x 3x 11x 8x 4 and describe the behavior of the graph at each zero B I x 2 as x goes in

3 9 10 3 points Match the angles by smallest middle and largest angle 3 5 03 S G H 5 1 largest angle smallest angle middle angle 3 points Match the angles by smallest middle and largest angle AB 17 BC 21 AC 18 middle angle smallest angle largest angle 3 points Match the angles by smallest middle and largest angle AB 15 AC 16 BC 17 smallest angle largest angle middle angle

Write the standard form of the equation that is parallel to y 3x 3 and goes through point 5 5 O y 3x 3 O 3x y 10 O 3x y 10 Oy 3x 3 O None of the other answers are correct

Point Y of Triangle WXY is located at 7 8 What is the image of Y after Triangle WXY is translated using the transformation x y x 3 y 4 O 21 24 O 21 32 O 10 12 10 4 O None of the other answers are correct

In the triangle below suppose that mZB x 6 mZC 4x 2 and mZD 3x Find the degree measure of each angle in the triangle 3x De 4x 2 x 6 B m4B m2c 0 m2D 0

5 ABCD is a parallelogram a Determine the perimeter of ABCD b Determine the mzB D A 4x 2x 6 5y y 8 3y

A sports car and a transport leave a gas station at the same time The sports car travels east at 150 km h while the transport travels north at 80 km h At what rate is the distance between the two vehicles changing after 3 hours has passed

ule T 5 3 is used for point 5 1 Where is the translated point in the coordinate system A Quadrant I B Quadrant II Quadrant III Quadrant IV 31 Which of the following statements is true A AJKL AMNO BAJKL APQR ASTU AMNO DASTU AJKL 30The rule T 4 1 is used for point 2 7 Where is the translated point in the coordinate system Quadrant I Quadrant III B Quadrant II D Quadrant IV 0 N 6 4 O 2 01 R 2 U NPX

Plot the points with polar coordinates 4 and 2 316 7x 3x A 54 55 4x KIN N HIM Wilm KIT S 7x KLO 11x X ST 3 using the pencil S

Find the least squares cubic equation that best fits the points 2 2 1 1 0 1 1 2 2 2

4 Haley built a birdhouse by first drawing a blueprint She then constructed the birdhouse using the dimensions from the blueprint Her blueprint PSWGB and birdhouse DMRTV are shown B W To build the birdhouse Haley used a scale factor of RT WG 4 She used equations to represent the sides PS y 1 2 in PB 3x 1 5 in BG 2w 6 4 in VT 4w 5 6 in DV 4x 10 in and DM 6 2y 2 6 in Part A What is the value of x Part B What is the length of DV Part C What is the value of y Part D What is the length of PS

Problem 9 PREVIEW ONLY ANSWERS NOT RECORDED 0 06 09 The graph of a function x is shown above Which value best estimates the value of the definite integral of f x on the interval 2 417 0 12 S 021 A 5 M

7 If you are given A 2 6 B 0 1 and C 7 5 answer the following a Find the distance of AB 1 point b Find the distance of BC 1 point c Find the distance of AC 1 point d Determine whether the triangle is scalene isosceles or equilateral Explain your reasoning 1 point a dAB b dBC

DBC 10x 40 a Solve for x 2 points b Find m DBC 2 points A B D a x b mzDBC

Perform the method of transformations on the basic points of Y cos x and fill the blanks below For each blank your answer should be submitted as a coordinate point with no spaces between any characters such as the point 5 34 0 1 is transformed to the point is transformed to the point 3 1 is transformed to the point is transformed to the point 3m 1 is transformed to the point 12

1 State the parent function 1 point 2 Give the full description of the transformations that were applied to its graph points 3 State the period 4 State the domain 5 State the range 1 point 1 point 2 points 6 List the coordinates of the three key points and their images after each transformation setup a table with transformations and images 4 points

Select all of the following statements that could be used to prove a b n m 8 5 7 6 26 216 215 27 180 21 210 180 232 25 21 28 180 24 212 3 2 16 a 12 13 14 15 9 11 10 MathBits com b

Given the following lines a parallel cut by a transversal and Zd 80 identify all the true statements a b d 80 Lf 80 and h 80 f 80 and b 80 U Lg 100 Zb80 and Zh 80 Le 100 4f 100 Zh 100 Lc 80 and Ze 80 13 h bo 8

The midpoint of AB is M 5 5 If the coordinates of A are 7 8 what are the cooridinates of B type your answer type your answer

Convert the angle measure 3π/4 rads to a degree measure. 90° 115° 120° 135⁰

Kalia is planning the transportation for the senior trip. The number of students in the senior class is 463 but the trip is entirely voluntary, If each bus can seat 48 students, describe the set of the number of busses, b, they may need in set notation.

Geometry is gal,'s is correctly spelled plural noun

The vertices of quadrilateral MATH have coordinates M(-4,2), A(-1,-3), T(9,3), and H(6,8). Prove that quadrilateral MATH is a parallelogram. Prove that quadrilateral MATH is a rectangle.

6. The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fee, plus $3 per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal? F. 1 G. 4 H. 5 J. 6 K. 75

A runner drinks 450 milliliters of water every hour during a race. How many milliliters of water will the runner drink in 2 hours? Enter the answer in the box.

Zoe has several sets of wire segments in front of her. Which set could she use to form a triangle? 3 cm, 3 cm, 6 cm 4 cm, 5 cm, 10 cm 5 cm, 8 cm, 12 cm 2 cm, 11 cm, 22 cm

7] What is the standard form of the equation of a circle with center (-3,1) and radius 2? A] (x-3)² + (y-1)² = 2 B] (x+3)² + (y-1)² = 2 C] (x-3)²+(y-1)² = 4 D] (x+3)²+(y-1)² = 4

91 Which of the following is true about a circle whose equation is (x+5)²+(y-3)² = 36 ? ** A = πr² C = 2лr A] It has a center of (5,-3) and an area of 12π B] It has a center of (-5,3) and a diameter of 6 C] It has a center of (-5,3) and an area of 36π D] It has a center of (5,-3) and a circumference of 12π

Two sides of a triangle are 8 inches and 12 inches long each. Which of the following could be the length of the third side that would form a triangle? Select all that apply. 3 inches 6 inches 8 inches 12 inches 18 inches 22 inches

Carla needs to find the area of the regular hexagon shown here, but she does not know the formula for this shape, Carla has a ruler and can accurately measure any side or length, and she knows how to find the area of triangles and quadrilaterals. What could she do to find the area of this hexagon? Select all that apply. Break the hexagon into three congruent parallelograms, find the area of one parallelogram, and multiply by three. Break the hexagon into two congruent trapezoids, find the area of one trapezoid, and multiply by two. Break the hexagon into six congruent triangles, find the area of one triangle, and multiply by six. Break the hexagon into four congruent squares, find the area of one square, and multiply by four.

Which of the following equations describes a circle with radius 4, centered at the point (-1, -1)? (x+1)² - (y+1)² = 16 (x-1)² + (y-1)² = 4 (x-1)² + (y-1)² = 16 (x+1)² + (y+1)² = 16

Select the equation of the circle centered at (2, -3) with radius 3 (x-2)² + (y + 3)² = 9 (x + 2)² + (y - 3)² = 3 (x-2)² + (y + 3)² = 3 (x + 2)² + (y - 3)² = 9

In ΔABC, ∠C is a right angle, BC = 200, and m∠A = 33°. Which expression represents the length of AC ? 200/sin 57° 200/tan 33° 200/tan 57° 200/sin 33°

Find the angle of elevation of the sun when a 7.6-meter flagpole casts a 18.2-meter shadow. Round to the nearest tenth of a degree.