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3 years ago

Is the following statement a good definition? Why?

Mathematics

2 answers:

JulijaS [17]3 years ago

4 0

Answer:

The correct option is D.

Step-by-step explanation:

An an angle is called an obtuse angle if the measure of angle is lies between 90° and 180°. The angle θ is an obtuse angle if

$90^{\circ}$

The given statement is "An obtuse angle is an angle whose measure is greater than 90°."

It is an false statement, because all angles whose measure is more than 90°, are not an obtuse angle.

For example the angle 200° is more than 90° but not less than 180°, therefore the angle 200° is not an obtuse angle. The angle 180° is not an obtuse angle.

Therefore option D is correct.

Zarrin [17]3 years ago

3 0

<span>D No, it is not. A straight angle has a measure greater than 90°, but it is not an obtuse angle.
The sentence should say: </span>An obtuse angle is an angle whose measure is greater than 90° but less than 180°

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INTERPRET THE VALUE OF EACH PLACE VALVE POSITION AS IO TIMES

kompoz [17]

Answer:

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Step-by-step explanation:

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3 years ago

The value of a motorbike depreciates by 32% per year. Work out the current value of a motorbike bought 5 years ago for £3600

DaniilM [7]

$\bf \qquad \textit{Amount for Exponential Decay}
\\\\
A=P(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &3600\\
r=rate\to 32\%\to \frac{32}{100}\to &0.32\\
t=\textit{elapsed time}\to &5\\
\end{cases}
\\\\\\
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3 0

3 years ago

After sailing 12 mi, a sailor changed direction and increased the boat's speed by 4 mph. an additional 18 mi was sailed at the i

inessss [21]

Let the speed for the first 12 mi be x mi/h, the speed for 18 mi was (x+4) mi/h
thus given that
time=distance/speed
the average time will be:
3=(12+18)/(x+x+4)
3=30/(2x+4)
solving for x we get
3(2x+4)=30
6x+6=30
6x=24
x=4 mi/hr
Answer: 12 mi/hr

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2 years ago

Write six and five hundredths in decimal form.

tia_tia [17]

Answer:

6.05

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the following integral. <br> Integrate x + 5/x^2 +10x +26 dx

sweet-ann [11.9K]

Given :

Polynomial , $f(x)=x+\dfrac{5}{x^2}+10x+26$ .

To Find :

Integration of f(x) .

Solution :

We know , integration of $x^n$ is :

$\int x^n \, dx = \dfrac{x^{n+1}}{n+1}+C$

( Here , is C is a constant )

Now ,

$\int f(x)\ dx=\int( x+\dfrac{5}{x^2}+10x+26)dx\\ \\ \int f(x)\ dx= \int x\ dx+\int 5x^{-2}\ dx+\int 10 x \ dx +26\ dx\\ \\ \int f(x)\ dx=\dfrac{x^2}{2}+\dfrac{5\times x^{-1}}{(-1)}+\dfrac{10x^2}{2}+26x+C\\\\ \int f(x)\ dx=\dfrac{11x^2}{2}+26x-5x^{-1}+C$

Therefore , the integration is $\dfrac{11x^2}{2}+26x-5x^{-1}+C$ .

Hence , this is the required solution .

6 0

3 years ago