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Arisa [49]
3 years ago
14

Is the orthocenter of a triangle on the inside ?

Mathematics
2 answers:
Olegator [25]3 years ago
8 0
It isn’t always in the triangle
likoan [24]3 years ago
7 0

Answer:

It turns out that all three altitudes always intersect at the same point - the so-called orthocenter of the triangle. The orthocenter is not always inside the triangle. If the triangle is obtuse, it will be outside. To make this happen the altitude lines have to be extended so they cross.

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The interest rate r required to increase your investment p to the amount a in t years is found by . Find the interest rate r for
Dahasolnce [82]

Answer:

The interest rate was of 0.1173 = 11.73%.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

A = E + P

In this problem, we have that:

A = 10000, P = 8100, t = 2

So

A = E + P

10000 = E + 8100

E = 1900

So

1900 = 8100*I*2

I = \frac{1900}{8100*2}

I = 0.1173

The interest rate was of 0.1173 = 11.73%.

7 0
3 years ago
What’s X and how did you find it?
Gre4nikov [31]

Answer:

X=12

Step-by-step explanation:

2/3x-5=1/2x-3

2/3x=1/2x+2

2/3x-1/2x=2

(6)1/6x=2(6)

X=12

I am not sure

8 0
4 years ago
Sin(x+2y)=cos(2x -y)
patriot [66]

~~~~~~~\sin (x+2y) = \cos (2x-y)\\\\\\\implies \dfrac{d}{dx} \sin(x+2y) = \dfrac{d}{dx} \cos (2x-y)\\\\\\\implies \cos(x+2y)\dfrac{d}{dx}(x+2y) = -\sin(2x-y) \dfrac{d}{dx}(2x-y)~~~~~~~~~~~;[\text{Chain rule}]\\\\\\\implies \cos(x+2y) \left(1+2 \dfrac{dy}{dx}\right) = -\sin(2x-y)\left(2-\dfrac{dy}{dx} \right)\\\\\\\implies \cos(x+2y) + 2\cos(x+2y)\dfrac{dy}{dx} = -2\sin(2x-y)+\sin(2x-y) \dfrac{dy}{dx}\\ \\\\

\implies \sin(2x-y) \dfrac{dy}{dx} - 2\cos(x+2y) \dfrac{dy}{dx} = \cos(x+2y) + 2\sin (2x-y)\\\\\\\implies \left[\sin(2x-y) -2\cos(x+2y) \right] \dfrac{dy}{dx} = \cos(x+2y) + 2\sin (2x-y)\\\\\\\implies \dfrac{dy}{dx} = \dfrac{\cos(x+2y) + 2\sin (2x-y)}{\sin(2x-y) -2\cos(x+2y) }

7 0
2 years ago
Two legs of a right triangle each measure 10 incles how long is the hypotenuse
elena-14-01-66 [18.8K]

Answer:100

Step-by-step explanation:10² + 10² =c² 10x10 is 100 for both since its square root

100+100=c² 100+100 is 200

your always going to divide by 2 so your going to divide 200÷2=100

so the hypotenuse is 100

5 0
3 years ago
Read 2 more answers
What is 87.93 written in word form?
Mekhanik [1.2K]
Eight tens- seven ones and ninety- three hundredth
4 0
4 years ago
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