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2 years ago

Help me find the answer!! 2-step equation

Mathematics

1 answer:

Vladimir79 [104]2 years ago

8 0

$\looparrowright \sf3\leqslant \dfrac{y}{ - 5} + 7$

$\looparrowright \sf3 - 7\leqslant \dfrac{y}{ - 5}$

$\looparrowright \sf - 4\leqslant \dfrac{y}{ - 5}$

$\looparrowright \sf - 4 \times - 5\leqslant {y}$

$\looparrowright \sf 20\leqslant {y}$

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The time Natasha listens to the radio can be represented as 7 times five sixths, 35/6 or 5/6 + 5/6 + 5/6 + 5/6 + 5/6.

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2 years ago

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castortr0y [4]

See the attached figure to better understand the problem
let
L-----> length side of the cuboid
W----> width side of the cuboid
H----> height of the cuboid

we know that
One edge of the cuboid has length 2 cm-----> <span>I'll assume it's L
so
L=2 cm
[volume of a cuboid]=L*W*H-----> 2*W*H
40=2*W*H------> 20=W*H-------> H=20/W------> equation 1

[surface area of a cuboid]=2*[L*W+L*H+W*H]----->2*[2*W+2*H+W*H]

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multiply by W all expresion
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using a graph tool------> to resolve the second order equation
see the attached figure

the solutions are
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2 cm x 13.52 cm x 1.48 cm
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2 cm x 1.48 cm x 13.52 cm

<span>Find the length of a diagonal of the cuboid
</span>diagonal=√[(W²+L²+H²)]------> √[(1.48²+2²+13.52²)]-----> 13.75 cm

the answer is
the length of a diagonal of the cuboid is 13.75 cm

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