Complex numbers Questions and Answers

In a given right triangle If 0 x 90 and sin x 1 2 then cos x Select one O a 3 2 b 3 3 O c 1 2 O d 2

Given the triangle ABC if angle A is 43 side a is 42 m and side b is 33 m find angle C Please round to one decimal Select one a 104 6 Ob 77 2 C 32 4 d 92 3

Complete the formula for the law of sines sin sin 74 4 8 F G 65 6

4 12 ft C G a 18 ind the value of a Round to the nearest tenth w

From the figure below given that B is a right angle what is the value of Sin C C M a A B Select one O a a b b c a O c c b d b c

Given a right triangle ABC where C is the right angle if angle A is 45 and the hypotenuse is 5 2 what is the length of side a Select one O a 10 Ob 2 5 c 5 3 d 5

In a right triangle ABC If sin B 5 13 and cos B 12 13 then tan B 3 Select one a 5 12 Ob 13 12 Oc 13 5 d 12 5

If f x 7 4x and g x 01 1 27 O 10 O 160 270 1 2x what is the value of f 5

n 2018 there were 700 students enrolled in a college course 2019 there were 475 students enrolled in this particular cours Select the true statement about students enrolled in this course from 2018 to 2019 Percentages are rounded to the nearest tenths place

Find an equation for the graph sketched below 5 4 3 2 f x 87 65 6 4 321 7 234 S 6 A co

If f x x 2 what is f x la O f x 9x 18 05 x x 2 O f x 9x 2 1 f x 2x

3 Determine all complex numbers z for which 2z 1 2 z il

the coordinates of parallelogram abcd are a 0 2 b 4 8 c 7 6 and d 3 0 find each side length

1 What is the x value of the solution to this system of equations x 2y 4 7x 5y 66

what two equations can be used to compare the product 63 with the factors 7and 9

4 Given a point P and a line segment AB give a construction of a line segment that has P as endpoint and has triple the length of AB

A student s cell phone provider charges 0 06 dollars per minute of call time plus a monthly fee of 48 dollars Let C m be the cost when m minutes are used An expression for C m is C m If the cost was 94 56 how many minutes were used How much will it cost to use 438 minutes Vide Writte vomnl

Details Suppose the length of a rectangle is 6 more than 5 times the width Find A w which gives the area of a rectangle as a function of its width

0 1 pt 399 Details Is the diameter of a circle a function of the radius Yes No

3 10 points Compute the projection operators P and P

Prove that circle A with center 5 2 and radius 3 is similar to circle B with center 6 7 and radius 5 by first mapping a translation of Circle A then mapping a dilation of that translation

Use the Shell Method to find the volume of a solid obtained by rotating the region B about the x axis b 0 A y x b B a Assume a 2 and b 3 X Use symbolic notation and fractions where needed

To indirectly measure the distance across a lake Natalie makes use of a couple landmarks at points N and O She measures MP PN and PQ as marked Find the distance across the lake NO rounding your answer to the nearest hundredth of a meter

6 5 4 3 2 1 5 4 3 4 2 4 1 2 3 4 5 6 4 2 3 4 A 5T What is the period of the function above What is the positive vertical stretch factor of the function above What is the vertical shift of the function above Give a formula for the function whose graph appears above

How long rounded up to the nearest year will it take me to become a millionaire if I invest 2 000 at 10 interest compounded continuously

K Find the next 0 7 2 9 4 0 7 2 9 4

We want to solve the equation x 4x 5 0 First factor 4x 5 By the zero product property we know 0 OR 0 0 And therefore we know that 0 Do not use decimal approximations in your answe Ilse fractions instead 0 OR

We want to solve the equation 3x 23x 14 0 First factor 3x 23x 14 23x 14 By the zero product property we know 0 OR 0 And therefore we know that 0 OR 0 Do not use decimal approximations in your answer Use fractions instead

3 1 8 Prove that av bw cv dw ac v ad bc v w bd w

ROUNDING TO TWO SIGNIFICANT DIGITS There should be two numbers to the right of the decimal place that are significant Numbers are significant if they are NOT zeroes that immediately follow the decimal Round up or down as necessary EXAMPLES 1 212 1 21 8 694 8 69 1 Round to two significant digits 9 365 37 101 199 01 2 2 0954 19 9954 SCIENTIFIC NOTATION Use exponential notation 10 10 x 10 100 10 10X10 0 00104 0 001 11 919 11 92 100 7 211 21 1 0 01 3 109 2 095 19 995 24 3389 24 34 89 9989 90 00 0 0333 033 12 9956 2 0956 19 9956 10 10 x 10 x 10 1000 10 1 10 10 10 0 001 1000 10 10 10 10 10 0 1

Which function is the inverse of f x 5x 4 4 x 4 05 x x 1 O f x 4x 5 O f x 4x 4

cm 0 1 pont Find al values of x for which rank 41 2 2 2 x 5 16 12

Which of the following whole numbers could not be used as a common denominator to add the 11 fractions O O O 48 72 64 96 6 1 8

If the vertex of a parabola is 8 0 what is the axis of symmetry The axis of symmetry is Type an equation

Available Naprosyn 500 mg per tablet How many tablet s will the nurse administer

Your credit card has a balance of 4900 and an annual interest rate of 12 You decide to pay off the balance over four years If there are no further purchases charged to the card a How much must you pay each month b How much total interest will you pay

per How many mL s will the nurse administer

103 2 degree Fahrenheit celcius

60 pounds KG

Perform indicated operations and write them in standard form a ib i 7 4i 5 11i ii 5 64 3 49

6 Sketch a graph of the function a x 2 x 4 Describe the transformations to the graph of y x

Combine like ter 0 5 x 7 1 F x 7 1 5 x

question below Solve 7t t 8 0 t 1 14 answer in the form a bi 213 14 i 1 14 213 14 i X Enter your

John Lloyd runs around the perimeter of a circular track at 9 ft sec The track has a radius of 90 yd After 25 seconds John Lloyd turns and runs to the center of the track along a straight radial line Upon reaching the center he turns and runs away along a different radial line to his starting positio on the perimeter a How far has John Lloyd traveled once he has returned to his starting position distance feet b How much time will it take for John Lloyd to complete his circuit time seconds c Find the area of the pie shaped sector enclosed by John Lloyd s path area sq yd

0 1 pt 399 Details The complex conjugate of 3 3i is

0 1 pt 399 Details Simplify 4 39i 25i Question Help Video Written F

0 1 pt3 99 Evaluate 15 2 Details

0 1 pt 399 Details Reduce as much as possible 63

0 1 pt 399 Details Subtract 2 6i 1 4i

0 1 pt 399 Details Identify the real and imaginary parts of 11 7 The real part is the imaginary part is and