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Serga [27]
3 years ago
7

Which expression represents the volume of the pyramid?

Mathematics
1 answer:
Arada [10]3 years ago
6 0

Answer:

V=\frac{1}{3}(n^2)(n-1)\ units^3

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the base of pyramid

h is the height of the pyramid

<em>Find the area of the base B</em>

The area of the square base B is

B=n^2\ units^2

we have

h=(n-1)\ units

substitute the given values in the formula of volume

V=\frac{1}{3}(n^2)(n-1)\ units^3

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What basic trigonometric identity would you use to verify that sinx cosx tanx=1-cos^2x
andre [41]

Answer:

sin^2x+cos^2x=1 is used to prove the given equation.

Step-by-step explanation:

We have given an equation:

sinx\cdot cosx\cdot tanx=1-cos^2x

We will consider right hand side first

tan x can be written as:

tanx=\frac{sinx}{cosx}

So, on substituting tan x in the left hand side of the given equation we get:

sinx\cdot cosx\cdot \frac{sinx}{cosx}

Cancel common term from denominator and numerator which is cosx we get

sin^2x

And we have an identity:

sin^2x+cos^2x=1

\Rightarrow sin^2x=1-cos^2x

Hence, right hand side is equal to sin^2x.


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2 years ago
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Answer:

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Step-by-step explanation:

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1 year ago
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Find x and y intercepts
Airida [17]
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The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:
lisabon 2012 [21]

Answer:  The speed of the motorboat is 70 miles per hour

Step-by-step explanation:  Subtract the initial distance, 35, from the distance at any given time, then divide the remainder by the hours.

For example, at 2 hours, the distance shown on the graph is 175 miles

Subtract: 175 -35 = 140.  Then divide 140/2 = 70

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