Pls explain
pythagorean theorem
determine the missing measurements for each tv.

32” tv height: 16” width:

• tv height: 34” width: 61”

• 60” tv height: 30” width:

• tv height: 20” width: 35”

• 52” tv height: width: 45”

if a tv has the following dimensions 48” wide, 27” height, and 55”diagonal. respond to the following questions.

if the tv is 5” wider and 3” higher, what is the new diagonal measurement? (show work)

 if the tv is 3” wider and 5” higher, what is the new diagonal measurement? (show work)

All answers are to 2 decimal places for accuracy.

1. Width is 27.71"

2. TV Size is 69.84"

3. Width is 51.96"

4. TV Size is 40.13"

5. Height is 26.06"

6.

Part 1: Diagonal is 61.91"

Part 2: Diagonal is 60.21"

Step-by-step explanation:

THe pythagorean theorem tells us that the sum of two legs of a triangle squared equal the hypotenuse squared.

Note: This applies for right triangles and the side opposite of the right angle is the hypotenuse

Also, to solve the first 5 problems, we can say:

#1  32” TV height: 16” width: _____

Let width be w

Width is 27.71"

#2  _____ TV height: 34” width: 61”

Let tv size be t

TV Size is 69.84"

#3  60” TV height: 30” width: _____

Let width be w

Width is 51.96"

#4  _____ TV height: 20” width: 35”

Let tv size be t

TV Size is 40.13"

#5  52” TV height: _____ width: 45”

Let height be h

Height is 26.06"

#6

Part1:

New dimensions would be

48+5 = 53" Width

27+3 = 30" Height

Let diagonal be d, so

Diagonal is 61.91"

Part 2:

New dimensions are:

48+3 = 51" Width

27 + 5 = 32" Height

Let diagonal be d, so

Diagonal is 60.21"

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.