first he wanted grey paint by mixing 600 ml of both colour so he reduced black paint by 7:12 ratio an we get difference of 3 with that ratio so dividing 600 by 3 and we get amount of blacl paint removed

4 0

1 year ago

Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 3a cubed and 4a cubed

Over [174]

Answer:

106.4622 $a^{3}$

Step-by-step explanation:

Given the information:

A right triangle

Leg lengths of $(3a)^{3}$ and $(4a)^{3}$

Use the pytagon theory to find the hypotenuse of the triangle

$a^{2} + b^{2} = c^{2}$

<=> $((3a)^{3}) ^{2} + ((4a)^{3}) ^{2} = c^{2}$

<=> $(3a)^{6} + (4a)^{6} = c^{2}$

<=> $c^{2} = 4285a^{6}$

Take the square root of both sides

<=> c = 69.4622 $a^{3}$

=> expression in simplest form for the perimeter of a right triangle is:

$(3a)^{3}$ + $(4a)^{3}$ + 69.4622 $a^{3}$

= 27 $a^{3}$ + 64 $a^{3}$ + 69.4622 $a^{3}$

= 106.4622 $a^{3}$

8 0

2 years ago