Geometry Questions

Find the area of the rectangle 4a b c X 3 A 6a b c B 6a b c 3 C 8ab c 2ab5

9 i entify the similar triangles Then find the value of 6 M A K lentify the similar triangles in increasing order of si

5 ABCD is cyclic M is a point of intersection of its diagonals Given AB BC 9 and BM 3 find DM

3 0 F E 6 H triangles AFEHA X Identify the similar triangles in increasing order 2 G A Then find the value of x to the nearest tenth

3 Put the following equation into the standard form for a sphere and find the center a 2 2 2 adius x y 7 fx 8y 27 74 0

9x 22 Part A Find x X G 61 34 5 7 Part B Find the measure of Arc DBC

3 i that the segment lengths form a trian and 9 They form an acute triangle They form a right triangle They form an obtuse triangle

the value of x Then tell whether the side lengths for X 10 Find the value of x to the nearest tenth

A traveller on a boat along a river wishes to estimate the height of the cliff The figure to the right shows the angle measurements she made at points 240 m apart How high is the cliff In the figure the triangle containing the height h is vertical and perpendicular to the path followed by the boat The height of the boat can be ignored River 32 6 240 m Cliff 71 5

Find the total surface area of the partial right cylinder The formula for the total surface area of the partial cylinder is OA 360 0 360 OB 360 0 360 2x 2xrL 4rL x xrL 2rl OC 360 0 360 2x 2xrl 2rl OD 360 0 360 x x 41L r 4tb L 2 in 0 93 in decimal places with units

Find the exact value of sin 22 5 using the half angle identity Select one O a 2 2 2 ob 2 2 2 2 2 OC 2 2 2 O d 2

Write the following as the sum and or difference of logarithms Assume all variables are positive 6b log 7 The answer format in lowercase characters is log number Spaces in the answer are optional

it ket shown Identify his error Given A ABC Prove A is obtuse Statements 1 AABC 2 LA is acute ect proof as Reasons 1 Given 2 Assumption e angle is not the opposite of an obtuse angle the statement in 2 read

In the figure AD is the diameter of the semicircle E is a point lying on AD such that CE BA If AB BC and ZBAD 63 then ZECD Ans 63 63 B E C D

Find the logarithm using common logarithms and the change of base formula log 30050 log 300 50 Simplify your answer Round to four decimal places as needed www

radii Preview 2 1 rad What is the terminal point s distance to the right of the center of the circle measured in radius lengths 2 8 cm cm Preview What is the terminal point s distance to the right of the center of the circle measured in cm What is the terminal point s distance above the center of the circle measured in radius lengths radii Preview 1 What is the terminal point s distance above the center of the circle measured in cm

Is sin A 4 5 cot B 4 and A and B in quadrant 3 find sin A B

Find the center vertices foci and eccentricity of the ellipse x 2y 4x 12y 42 0 Center x y Vertices smaller x value x y larger x value Foci x y smaller x value x y larger x value x y

8 Graph the circle y 654321 6 5 4 3 2 1 0 1 2 3 1234 4 5 56 6 1 2 3 4 56 x y 2 X

Rotate the axes to eliminate the xy term in the equation Then write the equation in standard form Use xp for x and yp for y in your answer Rotate the coordinate axes through an angle 8 with 0 0 2 9x 24xy 16y 80x 60y 0 Sketch the graph of the resulting equation showing both sets of axes SP 4 2 2 4 no 2 O SP 4 2 4 SP 2

1 Hosted by ALEKS Corp 12 2 3 4 8 1 Polar Coordinat 5 6 7 8 17 of 23 1 point Attempt 1 of Unlimited View qu he polar equation to rectangular form and id 3 4

2 Find the area of the circle below Express your answ in terms of pi and as a decimal rounded to the nearest tenth 20 m

3 Convert 75 degrees into radians Write your answer a a decimal rounded to the nearest hundredth

Draw the image of AABC under a dilation whose center is P and scale factor is 3 7 6 5 4 3 A C N 6 1 P 5 4 32 p y 3 P 4 5 6 17 41 62 3 4 5 6 7 B r

5 Find the length of arc EF Leave answers in terms of pi G 20 15 in E F

10 Write the equation of a circle with center at 3 2 which also passes through the point 0 2

9 Write the equation of a circle with center at 4 0 and radius 3

6 What is the area of the gray sector Write your answer as a decimal rounded to the nearest hundredth 16 in 90

1 Find the circumference of a circle with a radius of 4 mm Express your answer in terms of pi and as a decimal rounded to the nearest tenth

7 Identify the center and radius of the circle x 4 y 2 25

4 A pilot wants to fly on a bearing of 67 3 By flying due east he finds that a 51 mph wind blowing from the south puts him on course Find the airspeed of the plane Find the ground speed of the plane

The heights h in inches of pistons 1 and 2 in an automobile engine can be modeled by 5 sin 729 4 7 2 3 75 sin 729 7 2 and h 3 75 sin respectively where t is measured in seconds Use a graphing utility to graph the heights of these pistons in the same viewing window for 0 st s 1 How often in times sec are the pistons at the same place times sec

Filipo is bulding a rectangular sandbox for his younger brother The length of the sandbox is 1 foo longer than twice the width of the sandbox The perimeter of the sandbox is 29 feet Which equation could be used to determine w the width in feet of the sandbox

e on a hillside casts a shadow c 235 ft down the hill If the angle of inclination of the hillside is b 20 to the horizontal and the angle of elevation of the sun is a 50 find the height of the tree Round your answer to the nearest foot ft

Move the slider k so that the graph of y 2 stretches vertically 2 units Then type the new function f x in the answer box 5 4 f x 2 O 3 k 1 00 6 5 4 3 2 1 2 3 You did not stretch your graph correctly Try again 1 www Lesson Exponential Functions and 2 3 O 4 5 T

Solve the triangle with b 4 c 1 and A 120 degrees Solve the triangle with a 4 b 3 and c 6 Suppose that 500 feet away from a lighthouse you measure the anglo level ground up to the top of

f sin a 0 287 and sin 8 0 469 with both angles terminal rays in Quadrant l find the values of a cos 8 a b sin 8 a 0 18099690 X Your answers should be accurate to 4 decimal places

What is the area of sector formed by ZFHG to the nearest hundredth H 64 58 129 15 314 16 O232 48 G 74 10 F

Identify the center and radius of each Then sketch the graph 86 42 Ay 6 4 6 41 21 q 61 4 y 2 x 2 y 3 4 y Center 2 3 Radius 4 16 8 x Center 1 3 Radius 4 6 8 x Center 2 3 Radius 2 2 4 6 8 x Center 1 3 Radius 1 6 8 x

Find the area of the sector O 242 3 lon 2 O 297 8 35 Tom 17 km kom 240 11 km

What is the area of a circle with a radius of 4 feet Leave your answer in terms of pi O 8 ft O 16 ft O 64 ft 24 ft

The graph of which equation would be a circle with a center at 2 3 and a radius of 7 x 2 y 3 7 O x 2 y 3 7 O x 2 y 3 O x 2 y 3 49 O None of the other answers are correct

Find the length of the arc O 1217 12 O 32 3 2 in m ft O km 135 6 ft

What is the circumference feet Leave your answer in terms of pi O 4T ft O 8 ft O 16 ft of a circle with a radius of 4 O 64 ft

When a single coin is tossed what are the odds of tossing a head

The union of set A 1 2 5 and set B 1 2 6 is which of the following sets O 1 2 6 1 O 1 2 5 6 O 1 2 1 2 O 1 5 6 3

Find the probability A box of chocolates contains three milk chocolates four dark chocolates and three white chocolates You randomly select a chocolate It is a milk chocolate or a dark chocolate 0 700 0363 0 818

Bill has 5 quarters and 6 dimes in his pocket He pulls out a coin What are the odds in favor of the coin being a dime

In a Venn diagram what does the overlap between the two circles represent O The union of the two sets The intersection of the two sets The elements that are in either of two sets O The difference between the number of elements in two sets

Find the probability You roll a fair six sided die The die shows a three or a five 0 333 0 28 0 929 0 615 Nong of the other answers oro correct