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2 years ago

A triangle having sides of 2, 2, and 3 contains _____.

Mathematics

2 answers:

nikdorinn [45]2 years ago

8 0

Don't quote me but i'm pretty sure it is a right triangle

djyliett [7]2 years ago

4 0

Answer with explanation:

It is given that the triangle has three sides having side length 2, 2 and 3 units.

Since two sides of triangle is equal, So it is an Isosceles triangle.

To check whether it has any of the angle is right angle or Obtuse angle, we will use Cosine formula.

Since Angle Opposite to Larger side is greater.Angle Opposite to Larger side 3 units be m°.

$\cos m=\frac{2^2+2^2-3^2}{2\times2 \times 2}\\\\\cs m=\frac{4+4-9}{8}\\\\ \cos m=\frac{-1}{8}$

⇒→Since , cosine of angle between two sides ,2 and 2 is , Negative.It means it is an Obtuse Angle.

So, other two angles will be acute.

So, the given triangle having sides 2,2,and 3 is Obtuse Isosceles Triangle.

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The outside temperature can be estimated based on how fast crickets chirp. At 104 chirps per minute, the temperature is 63 degre

Rasek [7]

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For 124 chirps per minute the temperature is 68 ºF.

For 68 chirps per minute the temperature is 54 ºF.

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form

$f(x)=b+mx$

b is the constant term or the y intercept. It is the value of the dependent variable when x = 0.

m is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.

We know that

At 104 chirps per minute, the temperature is 63 ºF.

At 176 chirps per minute, the temperature is 81 ºF.

This information can be converted to Cartesian coordinates (x, y). Where x = the number of chirps per minute and y = the temperature in ºF.

To find a linear function that let us find the outside temperature from how fast crickets chirp we must:

Find the slope:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{81-63}{176-104}=\frac{1}{4}$

Find the equation:

$81=\frac{1}{4}\cdot 104+b$

Solving for b

$b=81-\frac{1}{4} (176)=37$

Therefore, the linear function is

$y=\frac{1}{4} \cdot x+37$

Now, using this linear function we can know the temperature when we know the chirps per minute:

For 124 chirps per minute the temperature is:

$y=\frac{1}{4} \cdot (124)+37=68$

For 68 chirps per minute the temperature is:

$y=\frac{1}{4} \cdot (68)+37=54$

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2 years ago

the speed of light is 1.86×10^5 miles per second.how many miles will light travel in 4,200,000 seconds?

stiks02 [169]

Answer: $7.812*10^{11}\ miles$

Step-by-step explanation:

Let be "x" the amount of miles light will travel in 4,200,000 seconds.

Rewrite 4,200,000 seconds in Scientific notation. Move the decimal point 6 places to the left. Then:

$4,200,000\ seconds=4.2*10^6\ seconds$

According to the exercise, light travels $1.86*10^5$ miles in 1 second.

Therefore, based on this data, you can set up the following proportion:

$\frac{1.86*10^5\ miles}{1\ second}=\frac{x}{4.2*10^6\ seconds}$

And finally, you must solve for "x" in order to find its value.

(Remember the Product of powers property: $a^m*a^n=a^{mn}$ )

Then:

$(4.2*10^6\ seconds)(\frac{1.86*10^5\ miles}{1\ second})=x\\\\x=7.812*10^{11}\ miles$

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2 years ago