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2 years ago

A triangle has sides 12, 35, and 37. Identify whether the triangle is right, acute, or obtuse.

Mathematics

1 answer:

s2008m [1.1K]2 years ago

6 0

Answer:

Right triangle

Step-by-step explanation:

Using pythagorean theorem,

$c^2 = a^2 + b^2\\37^2 = 12^2 + 35^2 \\1369 = 144 + 1225\\1369 = 1369$

Hence satisfied. So it is right triangle.

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Y/x^2 + y/x^3<br><br>perform the operation and express your answer as a single fraction

umka2103 [35]

Answer:

$\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}$

Step-by-step explanation:

Given the expression

$\frac{y}{x^2}+\frac{y}{x^3}$

Let us perform the operation and express your answer as a single fraction

$\frac{y}{x^2}+\frac{y}{x^3}=\frac{x^3y+x^2y}{x^5}$

$=\:\frac{x^2\left(xy+y\right)}{x^5}$

$=\frac{\left(xy+y\right)}{x^3}$

Therefore, we conclude that:

$\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}$

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2 years ago

What is the square root of -15

motikmotik

The square root of -15 is 3.87298335

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2 years ago

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A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

AURORKA [14]

Answer:

For maximum area, all of the wire should be used to construct the square.

The minimum total area is obtained when length of the wire is 10m

Step-by-step explanation:

For maximum, we use the whole length

For minimum,

supposed the x length was used for the square,

the length of the side of the square = x/4m

Area = $\frac{x^{2} }{16}$

For the equilateral triangle, the length of the side = $\frac{23 - x}{3}$

Area = $\frac{\sqrt{3} }{4} a^{2} = \frac{\sqrt{3} }{4} (\frac{23 - x}{3} )^{2}$

Total Area = $\frac{x^{2} }{16}$ + $\frac{\sqrt{3} }{36} (23-x)^{2}$

$\frac{dA}{dx} = \frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x)\\$

$\frac{d^{2}A }{dx^{2} } = \frac{1}{8} + \frac{\sqrt{3} }{18} > 0$ , therefore it is minimum

$\frac{dA}{dx} = 0 \\\\$

$\frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x) = 0\\$

x = 10.00m

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2 years ago

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2x+2(1960/x)=200 please help for math hw

sp2606 [1]

Two solutions:

1. x =(100-√2160)/2=50-6√ 15 = 26.762

2. x =(100+√2160)/2=50+6√ 15 = 73.238

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2 years ago

Evaluate: 8*2 + 3*5 - 10 + 4^{2}

NikAS [45]

The answer would be 37 I hope this helped

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3 years ago