Answer:
165 ft^2
Step-by-step explanation:
We need to break the figure into 2 parts
We have the square at the bottom right
The square is 5 by 5
A = 5*5 = 25
The rectangle is then 20 by (12-5) =7
The area of the rectangle is
A = 20 *7 = 140
Add the areas together
140+ 25
165 ft^2
Answer:
The data are at the
<u>Nominal</u> level of measurement.
The given calculation is wrong because average (mean) cannot be calculated for nominal level of measurement.
Step-by-step explanation:
The objective here is to Identify the level of measurement of the data, and explain what is wrong with the given calculation.
a)
The data are at the <u> Nominal </u> level of measurement due to the fact that it portrays the qualitative levels of naming and representing different hierarchies from 100 basketball, 200 basketball, 300 football, 400 anything else
b) We are being informed that, the average (mean) is calculated for 597 respondents and the result is 256.1.
The given calculation is wrong because average (mean) cannot be calculated for nominal level of measurement. At nominal level this type of data set do not measure at all , it is not significant to compute their average (mean).
Answer:
A, D , and E
Step-by-step explanation:
We have that:


is the image of CD after a dilation of scale factor n.
We use the relation between the image length and object length:

Option A
If n=3/2, then

This is true.
Option B
If n=4, then

This is false.
Option C
If n=8, then

This too is false.
Option D
If n=2, then

This is true
Option E
If n=3/4, then


This is also true.
I will go about solving this using the elimination method.
First, convert the equations.
10x + y = -20
4x + y = -12
Second, find the easiest variable to get rid of and get rid of it! (In this case, y) We will subtract to get rid of y.
6x = -8
Third, you want to solve the equation.
6x = -8 (divide by 6)
x =

Fourth, solve for y by inserting the answer for x into one of the equations.
10(

) + y = -20

+ y = -20 (subtract

)
y =

The solution for this system of equations is (

,

).
Answer:
πr²= 12.56
r²=12.56/3.14 = 4
r= 2
therefore , diameter = 2r = 2×2= 4 mm