Answer:
7.48m (3s.f.)
Step-by-step explanation:
Let the missing side be x m.
Applying Pythagoras' Theorem,
x² +5²= 9²
x² +25= 81
x²= 81 -25 <em>(</em><em>-25</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x²= 56


x= 7.48 (3 s.f.)
∴ The missing side is 7.48 m (3s.f.)
I would say A. I'm assuming this is to do with the equation y=kx, therefore A has the k value of -12
Blue triangle: perimeter is 4x+2+7x+7+5x-4, or, after simplification,
16x + 5
Red triangle: perim. is 2x-5+x+7+x+3 (and so on).
The hint says that volume of a rectangular solid = l*w*h, where l = length, w = width, and h = height. Use this to solve for the height of the solid by plugging in the numbers you know.
You know that length, l = 2cm, width, w = 8cm, and, *EDITED* volume = 160 cm^3. Plug these values into the equation for volume (the hint) and solve for h, the height:
Volume = lwh
160 = (2)(8)(h)
160 = 16h
h = 10cm
-------
Answer: The height is 10 cm