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3 years ago

192.5=1/2(26+12.5)h. What is the unknown measure

Mathematics

1 answer:

hram777 [196]3 years ago

8 0

$\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\[-0.5em] \hrulefill\\ a=12.5\\ b=26\\ A=192.5 \end{cases}\implies 192.5=\cfrac{h(12.5+26)}{2} \\\\\\ 385=h(12.5+26)\implies 385=38.5h\implies \cfrac{385}{38.5}=h\implies 10=h$

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Step-by-step explanation:

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3 years ago

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Answer:

Step-by-step explanation:

Given a quadratic equation in standard form, ax² + bx + c = 0 : a ≠ 0

Then the discriminant is Δ = b² - 4ac

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3 years ago

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3 years ago

Simplify

OlgaM077 [116]

Answer:

see below

Step-by-step explanation:

$\frac{x-1}{x^2-3x+2}+ \frac{x-2}{x^2-5x+6} +\frac{x-5}{x^2-8x+15}$

we need to simplify that

$x^2-3x+2=(x-1)(x-2)\\\\x^2-5x+6=(x-2)(x-3)\\\\x^2-8x+15=(x-3)(x-5)$

so we can continue

$\frac{x-1}{(x-1)(x-2)}=\frac{1}{x-2}\\\\\frac{x-2}{(x-2)(x-3)} =\frac{1}{x-3}\\\\\frac{x-5}{(x-3)(x-5)} =\frac{1}{x-3}$

and we can put all together

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Answer:

Step-by-step explanation:

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