The Area of rectangle = 80 unit².
<h3>What is Area of rectangle?</h3>
The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle. Some examples of rectangular shapes are the flat surfaces of laptop monitors, blackboards, painting canvas, etc. You can use the formula of the area of a rectangle to find the space occupied by these objects. For example, let us consider a rectangle of length 4 inches and width 3 inches.
from figure (a)
DE= 40/8 = 5
BC= 100/5 = 20
Now,
AC= AB + BC= 8+ 20 = 28
CE= CD + DE = 10+5= 15
So, area of rectangle
= AC* CE
= 28* 15
= 420
Now, from figure (b)
CD= 24/12= 2
DE= 12/4 = 3
AC= AB+ BC= 14+ 4= 16
CE= CD + DE= 2+3 = 5
So, Area of rectangle= 16*5 = 80 unit²
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Answer:
The answer is 4.
Equation: 4x-2=x+10
Step-by-step explanation:
Answer:
The regression equation for the sample is
Y= 0.430x +0.214
Step-by-step explanation:
Using the regression formula;
a= (nSSXY - MX MY)/(nSSX -MX^2)
a= (20×43- 4×6)/(20×98 - (4^2))
a= 836/(1960-16)
a= 836/1944
a= 0.430
X bar= summation x / n =4/20= 0.2
Y bar= summation y / n =6/20 = 0.3
b= y bar - a xbar
b= 0.3 - 0.430(0.2)
b= 0.3- 0.086
b= 0.214
The regression equation
Y= ax + b
Y= 0.430x +0.214
Answer: 156°
Step-by-step explanation:
As you know angle sum of a quadrilateral = 360°
So, 3x + 5x + 9x + 13x = 360°
Or, 30x = 360°
Or, x = 12°
Hence: 3x = 36°, 5x = 60°, 9x = 108° and 13x = 156°
Answer:
Step-by-step explanation:
Since the population standard deviation 
, is known, we use the z confidence interval for the mean.
This is given by:
For a 95% confidence interval we use 
.
It was also given that: 
, 
and 
Let us substitute the values to get:
<u>Interpretation:</u>
We can say with 95% confidence that the interval between 1463.3 and 1580.7 SAT scores contains the population mean based on the sample 125 SAT scores.
