3 years ago

Algebra 1 Solve number 10 !!!

Mathematics

1 answer:

tangare [24]3 years ago

8 0

Answer:

0.06x + 0.15y = 69.84

x = (69.84 - 0.15y) / 0.06

y = (69.84 - 0.06x) / 0.15

x + y = 852

((69.84 - 0.15y) / 0.06) + y = 852

y = ?

(I'm not trying to give you the answer but guide you how to do it)

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The longer base of an isosceles trapezoid measures 23 ft. The nonparallel sides measure 9 ft, and the base angles measure 80°. F

snow_lady [41]

Check the picture.

Consider the triangle DAB, with |DA|=9 ft, |AB|=23 ft and m(DAB)=80°.

To find the length of the diagonal, |DB|, we use the cosine law:

$|DB|^{2}= |DA|^{2} + |DA|^{2} -2|DA|*|AB|*cos(DAB)$

$=9^{2}+23^{2}-2*9*2*(0.173)=81+529-6.228=603.7$

Thus, |DB|= $\sqrt{603.7}=24.6$ (ft)

Answer: 24.6 ft