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3 years ago

The length of the hypotenuse of 30-60-90 triangle is 5. find the perimeter

Mathematics

1 answer:

baherus [9]3 years ago

4 0

Answer:

$7.5+2.5\sqrt{3}$

Step-by-step explanation:

The ratio of sides in a 30-60-90 triangle is $1:2:\sqrt{3}$ . Since the hypotenuse is the longest side, the shortest leg is 5/2=2.5. The leg that would usually be $\sqrt{3}$ is now $2.5\sqrt{3}\approx 4.33$ . Adding all of these together, you get $7.5+2.5\sqrt{3}\approx 11.83$ . Hope this helps!

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Find an upper limit for the zeroes 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0

erik [133]

<u>Answer-</u>

2 is the upper limit for the zeros.

<u>Solution-</u>

The given function f(x) is,

$2x^4 -7x^3 + 4x^2 + 7x - 6 = 0$

For calculating the zeros,

$\Rightarrow f(x)=0$

$\Rightarrow 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0$

$\Rightarrow 2x^4-4x^3-3x^3+6x^2-2x^2+ 4x+3x-6=0$

$\Rightarrow 2x^3(x-2)-3x^2(x-2)-2x(x-2)+3(x-2)=0$

$\Rightarrow (x-2)(2x^3-3x^2-2x+3)=0$

$\Rightarrow (x-2)(x^2(2x-3)-1(2x-3))=0$

$\Rightarrow (x-2)(x^2-1)(2x-3)=0$

$\Rightarrow (x-2)(x+1)(x-1)(2x-3)=0$

$\Rightarrow x-2=0,\ x+1=0,\ x-1=0,\ 2x-3=0$

$\Rightarrow x=2,\ x=-1,\ x=1,\ x=\frac{3}{2}$

From all the 4 roots, it can be obtained that 2 is the greatest zero.

7 0

3 years ago

Helppppp meeee pleassseee

aleksley [76]

Answer:

it is b

Step-by-step explanation:

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3 years ago

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BaLLatris [955]

Answer:

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Step-by-step explanation:

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3 years ago

What is equivalent to 6 + 3 x 9 - 4

STALIN [3.7K]

Answer:

Step-by-step explanation:

6 + 3 x 9 - 4

6 + 27 - 4

33 - 4

=29

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3 years ago