A school newspaper says that 6% of the students surveyed, can wiggle their ears. How many students were surveyed ? If a school h
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Step-by-step explanation:
We can model the annual consumption of iron by the equation
c = 900 million tons x , where
n is the number of years after 1993 and
c is the consumption for that year.
An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.
This equation simplifies to
C = 900 million tons x (1.025^n - 1) / ln(1.025), where
x is a dummy variable and
C is the total consumption of iron n years after 1993.
Let R be the amount of iron remaining at n years after 1993, so
R = 480 billion tons - C
R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
We need to find the value of n when R is 0, so
0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)
Simplify this equation to obtain
n = 107.4
So the iron will run out in the year 1993 + 107 = 2100
Answer:
720 sq units.
Step-by-step explanation:
Length and width of square prism, w = 12 units
Height of square prism, x = 7 units
Height of square pyramid, y = 8 units
Please have a look at the attached image.
Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.
Here, surface area of the composite figure will be:
<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>
For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.
Let slant height be units.
Using pythagoras theorem, we can find out the value of .
As per theorem:
Lateral surface area of square prism = 4 Area of triangular surface
Surface Area of 5 surfaces of the square prism =
So, total surface area of composite figure:
240 + 480 = 720 sq units.
