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3 years ago

The legs of a 45 45 90 triangle have a length of 8 units what is the length of the hypotenous

Mathematics

1 answer:

Crank3 years ago

3 0

Answer:

11.31 units

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + 8^2 = c^2

64 + 64 = c^2

128 = c^2

Opposite of exponents is square roots, and we need to get rid of that exponent in c^2, meaning we find the square root.

$\sqrt{128\\} \\\\$ = c

c = 11.31 units

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2 years ago

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If one root is the square of the other in the equation 8+mx+27x²=0,find the value of m

aleksklad [387]

Answer:

The value of $m$ is -30.

Step-by-step explanation:

Let $27\cdot x^{2}+m\cdot x +8 = 0$ , we notice that expression is a second order polynomials. We can rearrange the polynomial and use factorization to calculate all roots:

$x^{2}+\frac{m}{27}\cdot x + \frac{8}{27} = 0$ (1)

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From (3) we find the least root:

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3 years ago

$550.00 is what percent of $1580.00 ?

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