 Geometry
Area
A birthday party caterer counted the number of juice cups on the table The cups contained different flavored juices and different shaped straws Orange juice Grape juice Heart shaped straw Star shaped straw 2 3 4 6 What is the probability that a randomly selected cup contains a star shaped straw given that the cup contains orange juice Simplify any fractions Geometry
Area
17 Mia has 80 m of fencing material and would like to fence a rectangular plot o Determine the a dimensions of the plot that would ensure maximum area b maximum area that can be enclosed with 80 m of fencing material c the domain and range for the area function Geometry
Area
1 Pin 2n Zn 26 A 29 4 5 1 0 13 13 23 21 2 25 1 3CH 28 26 F v T 27 a v COS sin 12 i 2 iv 0 v 6 cot 14 d iv g viii and 35 D 39 B 43 D 11 21m viii 6 and 0 ix a circle ii F vi T b i e ii b vii 29 No 33 27 B 30 False 2x 3 NIO EXEMPLAR PROBLEMS MATHEMATICS 36 C 40 A 44 D 2 P n 1 2 3 28 A 5 3EXERCISE NIM Fa 3 0 2 30 15 vi vii 0 x 2 3 21 i T vii F c 1 vi 4a 1 37 B 41 A 45 B 34 Real axis 38 A 42 B 31 2 3 21 46 2 B iv T vii F be repubished hed Geometry
Area
X is normally distributed random variable with mean 63 and standard deviation 6 The probability that X lies between 45 and 81 is Note Write your answer as a decimal rounded to the nearest thousandth Geometry
Area
Which angles are alternate exterior angles F I E G ZIJL and ZFGJ ZIJL and ZHGJ H K ZIJL and ZHGE ZIJL and ZFGE Geometry
Area
In the image below you can slide the point along the curve to visualize this scenario 5 0 5 2 1 5 Enter the coordinates of the closet point Round each coordinate to two decimal places Geometry
Area
Lesson 1 Practice Problems Here is a diagram of a straightedge and compass construction C is the center of one circle and B is the center of the other Explain why the length of segment BD is the same as the length of segment AB O Geometry
Area
a y b PQ c QR 13 If AC 63 AB 4z 9 BC 3z 12 find the value of z Then find the length of AB and BC AC AB BC 42 9 32 12 63 72 24 63 21 L N 21 84 L 2 12 14 If DE is the same value as EF DE 3x and EF 2x 8 find the value of x Then find the length of DF Part 3 Construction Use a compass and straightedge only 15 Construct a circle L 7 Construct a semicircle by using the radius NO A D E 16 Construct a circle C by using the radius CD 18 Construct a quarter circle by using the radius NO Geometry
Area
C 21 3 X 66 4 Geometry
Area
7 In an experiment the probability that event A occurs is and the probability that event B 8 occurs is 334 If A and B are independent events what is the probability that A and B both occur Simplify any fractions Geometry
Area
2 In 1856 Andrew Waugh announced Mount Everest to be 8840 m high after several years of calculations based on observations made by the Great Trigonometric Survey More recent surveys confirm the height as 8848 m Calculate the percentage error made in the earlier survey 4 The temperature today in Chicago is 50 F Instead of using the standard conversion 5 formula C x F 32 Tommaso uses his grandmother s rule which is easier but gives an approximate value Subtract 32 from the value in F and multiply the result by 0 5 Geometry
Area
Find the percentage error in using 3 14 instead of 7 Geometry
Area
a Use Gauss elimination method to solve the following problem A shopkeeper is selling 3 types of fruits namely mango guava and pineapple By selling 3 kg of mangoes 1kg of guava and 2 pineapples he made a gain of 35 By selling 2 kg of mangoes 3kg of guavas and 1 pineapple he made a gain of 10 By selling 2 kg of guavas and 1 pineapple he made a loss of 5 How much profit or loss will he make if he sells 3 kg of mangoes and 2 pineapples b For which real values of a and b the matrix 20 bl becomes orthogonal Geometry
Area
33 The perimeters of two similar figures are 20 in and 50 in What is the ratio of the areas of the two figures State your answer as a fraction 34 If triangle ABC is similar to triangle MNO and side AB 23 when side MN 10 what is the length of side BC when side NO 33 O 72 03 O 77 94 O 75 9 O 74 26 Geometry
Area
2 3 The perimeter of this figure is O 11 in 15 in O 16 in 12 in2 O 12 ft 16 ft 2 1 and the area is 2 Geometry
Area
a Asked to name the distance that corresponds to the height slant height and base of parallelogram DEBT Brian and Briana Bronco wrote down different answers How they differed on identifying the base is shown below Complete the chart with rest of their answers slant height base height Briana TD Brian Find the area and perimeter of DEBT DE T B 6 G 65 9 7 2 D F 77 E 7 5 Measurements are in inches When they calculated the perimeter and area of DEBT did the Bronco twins Brian and Briana get different answers Explain Geometry
Area
ZABD and ZDBC are A B What is the measure of x D 7 complementary angles X x C Angles are not drawn to scale Enter Geometry
Area
Line RS bisects segment PQ at point R Find RQ if PQ 14 centimeter 3 5 7 centimeters 14 centimeters 28 centimeters centimeters Geometry
Area
B Find the perimeter of each polygon 1 3 9 2x 2 5x 3 4x 1 2x 1 2x 10 x 7x 2 5 The triangle has a perimeter of 9x 1 Find a polynomial expression to represent the third side x 3 Find the area of each polygon 7 3x 4 4x 3 2x 5 2 4 2x 1 8 8x 15 6 If the perimeter of the rectangle is 6x 18 what is the height 10 4x 2 2x 3x 5 8x 15 4x 6 3x 4 3x 2 4x 6 3x 4 4x 2 2x 1 Susan Poe Geometry
Area
2 8 37 2 40 3 21 4 21 5 21 0 333333 7 Geometry
Area
For the following exercise perform the indicated operations and express the result as a simplified complex number 9 108 3 Geometry
Area
43 Which ordered pair is in the solution set of the system of inequalities shown in the accompanying graph 1 0 0 2 0 1 3 1 5 4 3 2 5 4 3 2 1 ST 543 2 1 2 3 4 5 1 N 2 3 5 X Geometry
Area
with a circles are congruent are congruent Radii Geometry
Area
3x 4 3 Find the area of the composite figure 2X x 1 Geometry
Area
Calculator A cosine function has a period of 5 a maximum value of 20 and a minimum value of 0 The function is not a reflection of its parent function over the x axis Which function could be the function described f x 10 cos 5x 10 O f x 10 cos 5x 10 f x 10 cos 2x 10 O O f x 10 cos x 10 1 2 3 4 5 Next Geometry
Area
5 North C 104 33 135 Points A B and C are at sea level A is 104 m from C on a bearing of 064 Bis 135 m from C on a bearing of 122 a Calculate AB b Calculate the bearing of A from B c A boat T travels in a straight line from C to B Calculate the shortest distance of T from A during this journey d C is a point at the base of a vertical cliff D is the point on the top of the cliff vertically above C The angle of depression of B from D is 27 B Geometry
Area
10 The diagram shows two circular discs with centres A respectively They lie and B of radii 11 cm and 7 cm on a straight line MPQN and touch each other at R such that ARB is a straight line M 11 cm 18 R B 7 cm P 17 5 Q i Show that ZPAB is approximately 77 2 ii Hence find the area of the shaded region N Geometry
Area
Find the missing values by solving the parallelogram shown in the figure The lengths of the diagonals are given by c and d Round your answers to two decimal places a 27 b 41 27 x Show Transcribed Text 110 110 Geometry
Area
A parking lot has the shape of a parallelogram see figure The lengths of two adjacent sides are 70 meters and x 120 meters The angle between the two sides is 70 What is the area of the parking lot Round your answer to one decimal place m 70 4411 40 Show Transcribed Text C To determine the distance between two aircraft a tracking station continuously determines the distance to each aircraft and the angle A between them see figure Determine the distance between the planes when A 40 b 35 miles and c 22 miles Round your answer to one decimal place Geometry
Area
Find the following expressions using the graph below of vectors u v and w To enter vectors use angular brackets and 1 u v 2 2u w 3 3v6w 3 2 W H Geometry
Area
1 B KX E DEF ACB geninin y kseklik ayaklar n n olu turdu u gensel b lgedir FD 12 cm ED 8 cm FE 7 cm D C Yukar daki verilere g re KE x ka cm dir A 1 4 B 2 C 2 4 D 2 8 E 3 Geometry
Area
The building cost is 110 per square foot and the district s budget for building the entire school is 48 034 494 Each wing is estimated to cost 12 008 624 Complete the table to determine the area of the high school wing and the cost to build it for different values of x How large can x be for the wing to still fit within the guidelines for high schools of 349 00C square feet and be within the district s budget Value for x 0 5 10 Length of the wing Width of the wing Total area of the wing Cost to build Within Budget Geometry
Area
Find the measure ZBCD in the following parallelogram A B X 2x mZBCD C 0 D Geometry
Area
A company makes paper labels for cans of soup As shown below each can is in the shape of a cylinder with a height of 8 cm and a radius of 3 cm The paper abel is wrapped around the can and covers only the side of the can not the top or bottom If the company makes 15 labels how many square centimeters of paper will be needed Use 3 14 for and do not round your answer 3 cm 8 cm 0cm X Geometry
Area
Find the surface area of this triangular prism Be sure to include the correct unit in your answer 10 cm 24 cm 26 cm 20 cm 0 cm X cm cm Geometry
Area
SA 20 ft ft 5 ft 25 ft 5 ft 25 ft 5 ft Geometry
Area
The perimeter of a triangle is 60cm The length of one side is 5cm more than the length of the shortest side and the length of the other side is 7 more than twice the shortest side 20 Develop algebraic expressions for each side of the triangle based upon the description Shortest Side a Length of Middle Side Input your answers WITHOUT SPACES 21 Length of Longest Side Input your answers WITHOUT SPACES 22 What is the length of the shortest side Shortest Side cm Geometry
Area
Match the polygon below with the correct name A N gon Undecagon Heptagon Nonagon Triangle Pentagon B the correct name Geometry
Area
4 What would be the best way to label this polygon 5 Find x Geometry
Area
in the blanks to complete the ratios leg to leg 1 leg to hypotenuse leg to leg to hypotenuse Geometry
Area
2 Plug in the information into the Distance Formula D x2 x1 Y2 y Distance Use button to input the equation Input your answer WITHOUT spaces Geometry
Area
Which of the following is true about AB in the figure given A 5 C 15 17 B OAB is a secant to the circle C OAB is a tangent to the circle C OAB is a chord to the circle C OAB is NOT a tangent to the circle C Geometry
Area
Question 4 Points 2 A rectangular plot of land is 40 feet long and 25 feet wide How long is a walkway along the diagonal O 46 17 feet O 47 17 feet O 45 17 feet O 44 17 feet Geometry
Area
Question 5 The radius of a cylindrical tank is 12 ft and its surface area is 1250 sq ft Find the height of the tank O 4 ft O 5 ft O 6 ft Points 3 O 7 ft Geometry
Area
Question 1 There is a circular garden enclosed by a square field The area of the square field is 81 sq cm Find the largest area of the circular garden enclosed by a square field Points 3 63 585 sq cm 64 585 sq cm 65 585 sq cm 66 585 sq cm Geometry
Area
Question 7 Points 2 What three dimensional figure models the fish tank O Sphere O Rectangular prism O Square pyramid Geometry
Area
The units are in inches 8 Hint do not calculate the area of the base of the cone SA in Geometry
Area
6 Find the volume of the box whose length width and height are given respectively 14 mm 3 mm and 6 mm V mm 3 Geometry
Area
3 Find the surface area of the following solid The units are in kilometers SA 25 130 km Geometry
Area
4 Find the volume of the cylinder below 6 cm cm