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1 year ago

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the area of a parallelogram measures 171 cm the base of the parallelogram is 18 cm in length which of the following best represe

nts the height of the parallelogram A. 11cm B. 9.5 C. 13.5 D. 8cm give step by step explanation

1 answer:

goblinko [34]1 year ago

3 0

Answer:

A=bxh

171 cm=18cmxh

h=171/18

= 9.5 cm

which is B no.

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###

Another way to do this:

$\log_ab=\dfrac89\implies a^{8/9}=b\implies a=b^{9/8}$

$\log_bc=-\dfrac34\implies b^{-3/4}=c\implies b=c^{-4/3}$

$\log_cd=2\implies c^2=d\implies\log_dc^2=1\implies\log_dc=\dfrac12$

Then

$abc=(c^{-4/3})^{9/8}c^{-4/3}c=c^{-11/6}$

So we have

$\log_dabc=\log_dc^{-11/6}=-\dfrac{11}6\log_dc=-\dfrac{11}6\cdot\dfrac12=-\dfrac{11}{12}$

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