Answer:
P = 28 cm
Step-by-step explanation:
the diagonal divides the rectangle into 2 right triangles with the diagonal as hypotenuse.
the ratio of length : breadth = 4 : 3 = 4x : 3x ( x is a multiplier )
using Pythagoras' identity in the right triangle
(4x)² + (3x)² = 10²
16x² + 9x² = 100
25x² = 100 ( divide both sides by 25 )
x² = 4 ( take square root of both sides )
x =
= 2
then
length = 4x = 4 × 2 = 8 cm
breadth = 3x = 3 × 2 = 6 cm
perimeter (P) is calculated as
P = 2 × length + 2 × breadth
= 2 × 8 + 2 × 6
= 16 + 12
= 28 cm
A) Every T is worth 7 points, and every F is worth 3 points. So if we let T = 7 and F = 3, we can count how many T's and F's each team scored and write it as an expression.
So for the East Side Bulldogs, they have 7 touchdowns and 6 field goals, thus the expression for them is:
7T + 6F
For the West Side Bulldogs, they have 5 touchdowns and 5 field goals, thus the expression for them is:
5T + 5F
B) The difference would be written as:
7T + 6F - (5T + 5F) = 2T + F
C) To determine how many more points the winning team has than the losing team, calculate the scores of the two teams. Then subtract the smaller number from the larger number to determine the score differential.
Website 1
y=1.50x+30
Website 2
y=2x+30
Hope this helps!
For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars
The formula for the variance is,

where,
= sample variance
= the value of the one observation
= the mean value of all observations
n = the number of observations
For given question,
n = 4
First we find the mean of their salaries.
(33 + 31 + 24 + 36 ) / 4 = 31
So, 
Using the formula for variance ,

Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars
Learn more about the variance here:
brainly.com/question/13673183
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Answer:
3
Step-by-step explanation:
Well the square root of 12 is 3.464 and 12 squared is 144, and an intiger is a whole number no decimal or fraction. So round 3.464 to the nearest whole is 3. Hope this helps(: