Area Questions and Answers

graph rational functions f x 3x 12 x 2 5x 4

Find the area of the region inside the polar curve r 9 cos that is lying in the second quadrant

M 1 2 Add and subtract complex numbers JVF Simplify 5i 1 6 8i Write your answer in the form a bi i

5 1 point P R 0 Given the circle if Arc RO 190 33 and and Arc QO 16 13 what is m P Round to the nearest hundredth Type your answer

Write an equation for the trig function shown 6 5 4 y G 6 1 5 m 2 3 1 2 3 4 5 6 Write an equation for the function graphed above

Friday 1 27 A 23 B 62 630 D 22 9 E 10 N 2 3 8 11 19 7 H12 18 57 L 25 64 5 13 27 M 15 13 18 60 16 K

Find the measure of Zx m4x Type a whole number 1410 93 X

A cylindrical diesel fuel holding tank has a radius of 6 feet and a length of 12 feet What is the maximum volume of fuel the tank can hold to nearest whole number A 339 ft B 1 357 ft C 2 714 ft

Which solid has a volume that is 3 times the volume of a cone with the same base and height 4x A pyramid B C cylinder sphere

Solve for x 20 50 30 I x 12 Ox 33 3 Ox 60 OX 75

1 In the diagram above of AADE B is a point on AE and D is a point on AD such that Bl AC x AD 8 BC 7 and DE x 10 determine the length of CD B D

What is mZGHI I mZGHI F Write your answer as an integer or decimal O 107 H G

What is mZIKJ H mZIKJ K 35 I Write your answer as an integer or decimal J

In circle F with m EFG 64 9 degrees find the angle measure of minor arc EG E F G

In circle I m GIH 108 degrees Solve for x if the measure of arc GH 5x 20 degrees G H Picture is for reference and is not exact to the angle measures

X1 06 1 11 Consider three points u 1 5 v 2 1 w 8 3 in R2 Let l be the line through u and v be the line through u w and 3 be the line through v w as in the diagram below l u l2 l3 W a Give the matrix equation for which the lines in the diagram above are the row picture b Without solving this matrix equation explain why the the equation has no solutions c Now suppose that u 5 1 Give the new matrix equation the lines l2 l3 are constructed in the same way and again without solving it explain why it has infinitely many solutions

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up The ladder makes an angle of 66 with the ground Find the length of the ladder Round your answer to the nearest tenth of a foot if necessary

A cone with a slant height of 25 meters has a radius of 15 meters 25 m Find the volume of cone using 3 14 Answer 14130 cubic meters 15 m 314 cubic meters 4710 cubic meters 5887 5 cubic meters A

Find the volume of sphere of radius 6 m 3 A 250 m B 288 m C 300 m D 264 m

As the marketing designer for Burger King you are given a 4 inch by 6 inch logo and have been told to create an advertisement with sides six times larger What is the area of your advertisement in square feet 12 inches 1 ft

If the side ratio is 4 17 then the area ratio is

What is mGJ 75 G mGJ H O 100 J I 60

1 point C CE B E D ED Circle B as shown above has two arcs CE and ED given that arc CE measures 110 01 degrees and arc ED measures 116 94 degrees what is the measure of Type your answer

A section of a highway is constructed with a 23 grade What angle does the highway make with a horizontal line Round to the nearest hundredth of a degree OmzA 14 95 OmzA 87 05 O mzA 77 05 Ro m2A 12 95 Question 6 of 6 A section of a highway is constructed with a 11 grade What angle does the highway make with a horizontal line Round to the nearest hundredth of a degree OmzA5 19 OmA 83 72 OmzA 6 28 BE

Find the unknown measures Round lengths to the nearest hundredth and angle measures to the nearest degree R 47 D R 18 A ORA 34 13 mzD 28 m R 52 Po PE ORA 43 42 mzD 67 mzR 23 ORA 34 13 mzD 52 mzR 28

Use your calculator to find cos 0 76 to the nearest degree O 47 O 49 O 41 O 43 Use your calculator to find tan 1 O 79 O 73 O 71 000 5 to the nearest degree

r 8x 16 0 45

C Given AB is the height of the cone A plane parallel to the base of a cone slices through the cone at the midpoint between points A and B Determine the volume of the blue portion of the cone A 659 73 in B 68 91 in C164 93 in D 428 38 in 20 94 25 in

If the Leaning Tower of Pisa which is roughly cylindrical has a height of 55 meters radius of 8 meters what is the volume A 64T B 3250T 440 28160T

Are triangles ABC and DEC congruent A Yes by SSS Yes by AAS Yes by SAS B Not enough information C E D

Q 21 Checkpoint Average rate of change 179 What is the average rate of change of the function f x x 3x 10 on the interval from x 0 to x 2 Submit

1 point For the following triangle order the angle measurements from least to greatest C 25 yd OZD ZE LC ZC ZD LE ZD ZC ZE ZE ZC ZD 42 yd 33 yd

The diagrams represent the sripes used to mark parking spaces on a lot Based only on the information given which diagram could be used to prove AB CD and AC BD C 125 55 B 125 B 55 C 55 125 D D 55 125 55 B C 125 55 55 D n

frame for the front of a tent Which lengths of wood will not make a triangle A 4 ft 5 ft 10 ft B 5 ft 6 ft 9 ft C 6 ft 8 ft 11 ft D 7 ft 8 ft 13 ft O A OB O D 1 point Directions After showing your thinking circle the box you want to select A tree and its shadow create a right triangle The angle of elevation from the ground to the tree is 47 Which one is longer the height of the tree or the length of the shadow

The equation sin 25 can be used to find the length of AB B 9 in O 25 A What is the length of AB Round to the nearest tenth 68 0 in 19 3 in 23 5 in C 21 3 in

In which triangle is the value of x equal to tan Images may not be drawn to scale O 5 2 3 1 X Z 5 2 5 2 21 3 1 5 2 3 1 3 1 X

Use the diagram to complete the statement K 52 Given AJKL sin 38 equals tan 38 cos 52 J tan 52 cos 38 38 L

Find the missing length AUVW AUGH H G 20 18 25 21 24 U 132 132 V W

a 2 09 1 3042 b 7 90 x 0 00034 c 138 012 7300 d 27 4428 x 2 97 326 57 e 83 8 24 013 0 0053013 f 592943 6 5 2584 g 2 06 106 45 767 41 26 h 965 43 x 3 911 9413 4136 6 If the amount of mercury in a polluted lake is 0 400 g mL what is the total mass in grams of Hg in the lake The lake has a surface area of 100 square miles and an average depth of 20 0 ft a Convert the area from square miles to square feet b Find the volume of the lake c Convert amount of mercury to g cm d Convert ft to cm and multiply amount of mercury by volume of lake

What is a defining characteristic of foreshadowing OIt aids the reader in predicting future events in the story It uses vivid language that appeals to sight sound touch taste or sme It contains a reference to something readers will recognize It provides an extended metaphor that continues until the end

Sketch the region enclosed by the curves and find its area y x y x 2 Ctrl

The two polygons are similar Find the values of x and y 6 X X y 73 y 116 61 116 5 4

The triangles are similar Find the value of the variable X 45 35

What is the area of the shaded portion of the figure Express your answer in terms of pi F 112 A T B 2 OD 5 E B AE 4 cm AB 6 cm

Name the intersection of plane BPQ and plane CPQ OA OB OC BP PQ CO OD The planes do not intersect

A shipping company charges fees according to the weight of a package Prices follow the function below y left begin array c 2 80 text for O What is the cost to ship an item that weighs exactly 1 5lbs O 2 80 O 3 00 O 2 90 O 1 50

Justify the last two steps of the proof Given RS UT and RT US Prove ARST AUTS R S U Proof 1 RS UT 2 RT US 3 ST TS 4 ARST AUTS T 1 Given 2 Given 3 4 OA Symmetric Property of SSS OB Reflexive Property of SAS OC Reflexive Property of SSS OD Symmetric Property of SAS

Write the slope intercept form of the equation for the line OA OB OC OD 34 10 3x 2 y 3 y 10 1 2 3 y 3 y x 10 2

2 The figure shows a plan that includes a workshop storage area and the first floor of Measure all of the sides of the first floor that border the living space These are denoted with arrows in the figure below Use the scale provided to determine the actual measurements MIL 5cm do 00 CHEMINEME 4 cm Scale 5 feet 1 cm OVERED PORCH 1em 50m WORKSHOP STORAGE

What is the name of a line segment or ray that intersects a circle twice Question 4 10 points What is the name of a line segment or ray that intersects a circle exactly once