Solution of triangles Questions and Answers

d the value of each variable nesn srl 300 11 X

Find the value of each variable Express in simplest radical form 8 X 6 5

C b a A C B If B 40 C 70 and c 82 km find A and then find a

A theater is presenting a program on drinking and driving for students and their parents or other responsible adults The proceeds will be donated to a local alcohol information center Admission is 2 00 for adults and 1 00 for students However this situation has two constraints The theater can hold no more than 240 people and for every two adults there must be at least one student How many adults and students should attend to raise the maximum amount of money To raise the maximum amount of money adults and students should attend

Look at the graph 10 5 10 5 O 10 x 5 10 What is the equation of the horizontal asymptote

If y varies inversely with x and y 5 when x 12 find y when x 4 A y 12 B y 20 y 48 D y 15

Use the figure to solve triangle ABC Round lengths of sides to the nearest tenth and angle measures to the nearest degree Find the angles of triangle ABC Round to the nearest degree as needed A B Round to the nearest degree as needed C Round to the nearest degree as needed 19 214 B 27 125 36 8

Use the triangle to find each of the six trigonometric functions of 0 A 5 B 0 C 12

how would i find x and y 60 45 C

Use the figure to complete the proportion 11 PA j y d f bD g a

Find the missing angle measure in the figure 10 75 142

Find the value of x 24 20 Note The figure is not to scale

Using the given diagram solve for x 12 10

Fairview High School has an anime Japanes student can attend The relative frequency table shows the proportion of students in the high school who take Japanese and or are in the anime club In anime club Not in anime club Total Take Japanese A 75 OB About 94 O C 15 D 20 0 15 0 05 0 20 Do not take Japanese 0 01 0 79 0 80 Total 0 16 0 84 1 0 Given that a student is in the anime club what is the likelihood that he or she takes Japanese

Find the perimeter of the triangle Recall that the perimeter of a figure is the distance around a figure The perimeter is Type a whole number or a simplified fraction 18 inch 18 inch 18 inch

Given AB BC AB BC Prove mABmBC 1 B 0 0 Statements 1 AB I BC BC 2 MAB MBC d 0 1 0 e 1 0 A 1 d C 1 e 1 1 d 3 draw the vertical line segment AC 4 ZABC is a right angle 5 AABC is a right triangle X Reasons given application of the slope construction definition of perpendicula definition of a right triang

Which two sets of events are most likely independent A Event A A car is blue Event B The car lasts over 20 years B Event A A student gets enough sleep Event B The student is alert in class C Event A A woman buys cat toys Event B The woman has a cat D Event A A student makes the drama team Event B The student likes macaroni and cheese

The data represented by the following stem and leaf plot range from 4189 5 147 6 235 69 7 OA 49 79 OB 48 76 OC 49 76 D 48 79

If the formula 1 is used to find the mean of the following sample what is the value of n 43 36 93 2 28 83 10 22 9 84 41 3 13 20 66 7 A 16 OB 14 C 13 OD 15

The first quartile of a data set is 51 and the third quartile is 71 Which value in the data set is an outlier O A 20 O B 40 O C 80 D 100

42 This is a kite 53 5 1 38 3

A car dealership s goal is to sell a mean of 35 cars per day In one week it sold the following numbers of cars each day 44 35 23 29 38 30 21 How many more cars would it have had to sell during the week to meet its goal O A 15 OB 5 OC 25 D 35

If there are 16 values in a data set in order from smallest to largest what is the median of the data set OA The mean of the 7th and 8th values OB The 8th value OC The 7th value OD The mean of the 8th and 9th values

6 Classify each polynomial on the left by degree Polynomial 2p p 2x 5n 10n 10 6n 6 Constant Quadratic Quartic 60000

State what you know about the given polynomial expressic 8x 24 5x7 12x The degree of this polynomial is There are 24 is called the in Standard Form terms in this polynomial

Use the dropdown options to fill in row 5 of Pascal s Triangle 1 11 121 1331 14641

Matthew knows that he can use the 6th row of Pascal s triangle to calculate the coefficients of the expansion a b Calculate the numbers in the 6th row of Pascal s triangle and hence write out the coefficients of the expansion a b 5 1 5 10 10 5 1 82 6 15 20 15 6 2 1 7 21 35 35 21 7 1 1 6 15 20 15 6 1 1 3 3 1

In Springville the probability that a football team goes to the city playoffs is 0 25 The probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0 40 What is the probability that a randomly selected team from Springville goes to the city and state playoffs A 0 10 OB 0 15 OC 0 65 D 0 20

Write a polynomial function of least degree with zeros 0 5 and 5 Write your answer using the variable x and in standard form with a leading coefficient of 1 g x

Assume scores are normally distributed Using the normal curve with approximate percentages of scores between the mean and 1 and 2 standard deviations above and below the mean Z Scores Above 60 Below 60 Above 70 Below 70 Approximately what percentage of the students have an exam score that is Above 80 2 Below 80 14 34 34 2 0 1 2 3 Choose Choose Choose Choose 14 Choose Choose

39 If the sector formed by a central angle of 30 has an area of 7 3 centimeters find the radius of the circle

A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose This table shows the results Students Teachers Total Sharks 90 5 95 Moose 10 10 20 Total 100 15 115 A person is randomly selected from those surveyed Are being a student and preferring shark independent events Why or why not OA No they are not independent because P student 0 87 and P student shark 0 83 R OB Yes they are independent because P student 0 87 and P student shark 0 83 OC No they are not independent because P student 0 87 and P student shark 0 95 OD Yes they are independent because P student 0 87 and P studentishark 0 95

Find angle a in the diagram below A 30 20 40 D 60 a 5 E 5

Which of these is an example of numerical data OO O A Country of origin B Daily temperature C Favorite color OD Street name

Which of these is an example of discrete data A Area of a room OB Distance OC Temperature D Rides in an amusement park

Use the identity cosh x y cosh x cosh y sinh x sinh y to verify the identity cosh 2x cosh x sinh x Let x y Substitute x for y in the equation cosh x y cosh x cosh y sinh x sinh y cosh x y cosh x cosh y sinh x sinh y cosh x cosh x cosh sinh x sinh

Anystate Auto Insurance Company took a random sample of 350 insurance claims paid out during a 1 year period The average claim paid was 1 575 Assume o 256 Find a 0 90 confidence interval for the mean claim payment in dollars Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Your answer cannot be understood or graded More Information Find a 0 99 confidence interval for the mean claim payment in dollars Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to two decimal places Your answer cannot be understood or graded More Information

Devise an exponential decay function that fits the given data then answer the accompanying questions Be sure to identify the reference point t 0 and units of t The pressure of a certain planet s atmosphere at sea level is approximately 900 millibars and decreases exponentially with elevation At an elevation of 25 000 ft the pressure is one third of the sea level pressure At what elevation is the pressure half of the sea level pressure At what elevation is it 3 of the sea level pressure What is the reference point t 0 A the elevation at sea level 0 ft OB the elevation 25 000 ft OC 3 of the sea level pressure OD the pressure at sea level 900 millibars What are the units of t OA millibars B feet C pressure levels At what elevation is the pressure half of the sea level pressure feet

Locate the circumcenter of each triangle 7 8

Calculate the length a to two decimal places B 7 B 117 OA 13 68 OB 14 87 O C 187 2 OD 15 A 9 C

Suppose a triangle has two sides of length 32 and 35 and that the angle between these two sides is 120 What is the length of the third side of the triangle OA 58 04 OB 47 43 OC 33 60 OD 53

What is the approximate value of tan B B 7 A 17 46 16 20 A 0 40 OB 0 44 C 0 92 D 2 29 C

Who Is CT Juan and Sasha are suppose to design a dunking booth for the fair They want the booth to be easily accessible from the three entrances Sasha thinks having it equidistant from all three entrances would make the most sense a Juan said for the booth to be equidistant from entrance 1 and entrance 2 it needs to be at the midpoint of both entrances Is Juan correct Explain your reasoning b What other options do they have for the placement of the booth Entrance 1 Entrance 2

Carmine took out a 28 year loan for 151 000 at an APR of 9 9 compounded monthly while Richie took out a 28 year loan for 116 000 at an APR of 9 9 compounded monthly Who would save more by paying off his loan 17 years early A Richie would save more since he has 35 000 less in principal B Carmine would save more since he has 35 000 more in principal C Richie would save more since he has 35 000 more in principal D Carmine would save more since he has 35 000 less in principal