D) 5
3(x + 2) + x = 2x + 16
Distribute the 3 to the (x + 2)l
3x + 6 + x = 2x + 16
4x + 6 = 2x + 16
Subtract 2x and 6 from each side.
2x = 10
Divide each side by 2
x = 5
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Step-by-step explanation:
<span>10 +- sqrt( 100 + 60 ) / 6
A is the correct answer</span>
Answer:
5940 cm^3
Step-by-step explanation:
Step one:
given data
Height = 27 cm^3
Area= 220 cm^2
Required
the volume of the box
Step two:
the expression for volume is
V= Area* height
v= 220*27
V= 5940 cm^3
Angle at point A = 180 - 90 - 40 = 50 degrees
To find 2 remaining lengths of sides of triangle we just need to use basic trigonometry.
cos40 = 10/AC => AC = 10/cos40 = 13.05
tan40 = AB/10 => AB = 10*tan40 = 8.39
If we want to check this we can use Pythagoras theorem:
AB^2 + BC^2 = AC^2 and see that lengths that we calculated are correct.