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allsm [11]
3 years ago
15

A building engineer analyzes a concrete column with a circular cross section. the circumference of the column is 18 \pi18π18, pi

meters. what is the area of the cross section of the column? give your answer in terms of pi.
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
5 0
Answer: The area of the cross section is 81pi meters.

Since we are given the circumference, we can write and solve an equation about the diameter.

C = pi(d)
18pi = pi(d)
18 = d

Since the diameter is 18, the radius is half of that or 9 meters.

Now, plug 9 as the radius into the area formula.

A = pi(r^2)
A = pi(9^2)
A = 81pi
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5 0
3 years ago
5 - 3tan3x = 0 trên -π< x < π.
serious [3.7K]

Answer:

x = 0.343

Step-by-step explanation:

We want to solve:

5 - 3tan(3x) = 0

such that:

-π< x < π

where π = 3.14

then:

-3.14 < x < 3.14

Let's solve the equation:

5 - 3tan(3x) = 0

-3tan(3x) = -5

tan(3x) = -5/-3 = 5/3

Now we can use the inverse tan function, Atan(x).

Remember that:

Atan( tan(x) ) = tan( Atan(x)) = x

Then if we apply that function to both sides, we get:

Atan( tan(3x)) = Atan(5/3)

3x = Atan(5/3)

x = Atan(5/3)/3 = 0.343

4 0
3 years ago
PLZ HELP!!! I HAVE AN EXAM!! Find cscΘ if sinΘ=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B7%7D" id="TexFormula1" title=
Allisa [31]

\boxed{\bold{\red{csc\theta=-\frac{7}{2}}}}

\large{\red{Solution\: given:}}

Sin\theta=\frac{-2}{7}

we have

cosec \theta=\frac{1}{Sin\theta} =\frac{1}{\frac{-2}{7}}\\=-\frac{7}{2}

8 0
3 years ago
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7 0
3 years ago
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Please help maths homework
kaheart [24]

Answer:

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Step-by-step explanation:

Because algebra

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