Answer:
278.25 cm2
Step-by-step explanation:
If the width of the rectangle is x (cm), as the length is 8cm longer, so that the length of the rectangle is: x + 8 (cm).
In the attached image, we can see the length of each side. Total length of the sides are 90 cm.
=> (x + x + 8) + x + 8 + (x+8) + (x + x + 8) + x + 8 + (x +8) = 90
=> 8x + 48 = 90
=> 8x = 90 - 48 = 42
=> x =42/8 = 5.25 (cm)
=> The width of the rectangle is 5.25cm
=> The length of the rectangle is: 5.25 + 8 = 13.25 cm
=> The area of one rectangle is: Length x Width = 5.25 x 13.25 = 69.5625 cm2
As the 8-sided shape is made from 4 rectangles, so that:
Area of 8 sided shape = 4 x Area of the rectangle = 4 x 69.5625 = 278.25 cm2
Answer:
x=1
Step-by-step explanation:
3^x +1
f(x)=3x+1
f(x) =g(x)
3x +1 =3^x +1
Subtract 1 from each side
3x = 3^x
Let x =1
3*1 = 3^1
3=3
Subtract 3 from both sides,
Let x = X and y - 3 = Y
Then,
So, we have shifted the origin to a point (0, 3).
This is an odd function and the graph of an odd function is symmetrical about the origin.
That is, symmetrical about X = 0, Y = 0
Symmetrical about x = 0,, y - 3 = 0
Symmetrical about x = 0, y = 3.
Hence, the graph is symmetrical about the point (0, 3).
The relative frequency of it landing on tails is 20/30 or 2/3 or 0.667
