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Neporo4naja [7]
3 years ago
8

What is 2.685 rounded to the nearest hundredths place

Mathematics
2 answers:
RoseWind [281]3 years ago
7 0
The answer is: 2.69
Bingel [31]3 years ago
3 0
2.685 rounded to the nearest hundred is 2.69.
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If you could answer that I would be really grateful
Anastaziya [24]
What’s the question though?
6 0
3 years ago
Among all right triangles whose hypotenuse has a length of 12 cm, what is the largest possible perimeter?
Veronika [31]

Answer:

Largest perimeter of the triangle =  

P(6\sqrt{2}) = 6\sqrt{2} + \sqrt{144-72} + 12 = 12\sqrt{2} + 12 = 12(\sqrt2 + 1)

Step-by-step explanation:

We are given the following information in the question:

Right triangles whose hypotenuse has a length of 12 cm.

Let x and y be the other two sides of the triangle.

Then, by Pythagoras theorem:

x^2 + y^2 = (12)^2 = 144\\y^2 = 144-x^2\\y = \sqrt{144-x^2}

Perimeter of Triangle = Side 1 + Side 2 + Hypotenuse.

P(x) = x + \sqrt{144-x^2} + 12

where P(x) is a function of the perimeter of the triangle.

First, we differentiate P(x) with respect to x, to get,

\frac{d(P(x))}{dx} = \frac{d(x + \sqrt{144-x^2} + 12)}{dx} = 1-\displaystyle\frac{x}{\sqrt{144-x^2}}

Equating the first derivative to zero, we get,

\frac{dP(x))}{dx} = 0\\\\1-\displaystyle\frac{x}{\sqrt{144-x^2}} = 0

Solving, we get,

1-\displaystyle\frac{x}{\sqrt{144-x^2}} = 0\\\\x = \sqrt{144-x^2}}\\\\x^2 = 144-x^2\\\\x = \sqrt{72} = 6\sqrt{2}

Again differentiation P(x), with respect to x, using the quotient rule of differentiation.

\frac{d^2(P(x))}{dx^2} = \displaystyle\frac{-(144-x^2)^{\frac{3}{2}}-x^2}{(144-x)^{\frac{3}{2}}}

At x = 6\sqrt{2},

\frac{d^2(V(x))}{dx^2} < 0

Then, by double derivative test, the maxima occurs at x = 6\sqrt{2}

Thus, maxima occurs at x = 6\sqrt{2} for P(x).

Thus, largest perimeter of the triangle =  

P(6\sqrt{2}) = 6\sqrt{2} + \sqrt{144-72} + 12 = 12\sqrt{2} + 12 = 12(\sqrt2 + 1)

7 0
3 years ago
I'm struggling with this question i need help. please and thank you
soldi70 [24.7K]
The answer is 100X because if you do 5x-4x first it will be 1x. Later on, if you do the exponent you have 1x times 1x. Then you do 1x+9x = 10x

Then you do 10x times 10x because of the exponent is telling you how times you do it and it equals to 100x.

Answer= 100x



I hope this helps YOU!   

7 0
3 years ago
Please help, will give extra points
asambeis [7]

Answer:

59 degrees

Step-by-step explanation:

Since angle BGC is 40 degrees and angle AGC is 19 degrees and they are asking for angle AGB which is the sum of both angles together, you just add the 40 degrees plus 19 degrees.

6 0
3 years ago
Show that AC and BD bisect each other if A(–3, –5), B(2, –3), C(3, 5), and D(–2, 3). Find AC and BD
Mazyrski [523]

Answer

Multipy all of them

Step-by-step explanation:

mulitiply all of them

7 0
3 years ago
Read 2 more answers
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