3 years ago

How do you name a triangle

2 answers:

8 0

The labels of the vertices of the triangle, which are generally capital letters, are used to name a triangle.

NARA [144]3 years ago

3 0

You name a triangle by its angles, and its sides.

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Sixty students got off a school bus. 30% of them were wearing college

antoniya [11.8K]

Answer:

42 students

Step-by-step explanation:

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2 years ago

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Which number satisfies the inequality 12n < 3n+28 A) 3 B) 4 C) 5 D) 6

DiKsa [7]

Your answer would be (A)

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2 years ago

What is cos of negative pi/3? what is sin of negative pi/3?

stellarik [79]

Pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2

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2 years ago

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The curve with equation y=e^2x/4+3e^x has one stationary point.find the exact value of the coordinates of this point

Softa [21]

$y=\dfrac{e^{2x}}{4+3e^x}$
$\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}$
$\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}$

Stationary points occur where the derivative is zero. The denominator is positive for all $x$ , so we only need to worry about the numerator.

$8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0$

$e^{2x}>0$ for all $x$ , so we can divide through:

$8+3e^x=0\implies e^x=-\dfrac83$

But $e^x>0$ for all $x\in\mathbb R$ , so this function has no stationary points...

I suspect there may be a typo in the question.

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3 years ago

Find the range. 40, 35, 45, 55, 60 Range:

Tpy6a [65]

The range is 25
That’s the answer

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2 years ago