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user100 [1]
3 years ago
11

A cylinder has a height of 6 millimeters and a radius of 4 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer t

o the nearest hundredth.
Mathematics
1 answer:
netineya [11]3 years ago
4 0

Answer:

V=301.44\ \text{mm}^2

Step-by-step explanation:

Given that,

Height of the cylinder, h = 6 mm

Radius of the cylinder, r = 4 mm

We need to find the volume of the cylinder. The formula for the radius of the cylinder is given by :

V=\pi r^2 h

Putting given values,

V=3.14\times (4)^2 \times 6\\\\V=301.44\ \text{mm}^2

So, the volume of the cylinder is 301.44\ \text{mm}^2.

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Using complete sentences, explain the key features of the graph of the tangent function.
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Answer:

We are given the tangent function f(x)=\tan x.

Firstly we know that, \tan x=\frac{\sin x}{\cos x}, where \sin x is the sine function and \cos x is the cosine function.

Now, tangent function will be zero when its numerator is zero.

i.e. \tan x=0 when \sin x=0.

i.e. \tan x=0 when x=n \pi, where n is the set of integers.

So, tangent function crosses x-axis at n \pi, n is the set of integers.

Further, tangent function will be undefined when its denominator is zero.

i.e. \tan x=0 when \cos x=0.

i.e. \tan x=0 when x=(2n-1) \frac{\pi}{2}, where n is the set of integers.

Moreover, a zero in the denominator gives vertical asymptotes.

So, tangent function will have vertical asymptotes at (2n-1) \frac{\pi}{2}, n is the set of integers.

Therefore, these key features gives us the graph of a tangent function as shown below.

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3 years ago
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Answer:

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Step-by-step explanation:

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4 0
2 years ago
Find X. See image below.
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1 year ago
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Let’s say (5, 3) is Point A, (5, -4) is Point B, and (8, 3) is Point C. If reflected into the y axis, you would simply just make the x signs the opposite of what they already are. Therefore Point A being (-5, 3), Point B being (-5, 4), and Point C being (-8, 3).
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Another business was valued £80000 at the start of 2013 in 5 years the value of this business was raised to £95000. This is equi
yulyashka [42]
To get the equivalent yearly increase of x% we use the compound formula given by:
A=P(1+r/100)^t
where:
A=amount, P=principle, r=rate, t=time
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A=£95000, P=£80000, r=x%, t=5 years
hence plugging the values we obtain:
95000=80000(1+x/100)^5
simplifying the above we obtain:
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