A mural measures 135 feet long by 285 feet high. Find the ratio of the height to the perimeter of this mural.

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Solution:

Given that,

A mural measures 135 feet long by 285 feet high

Mural is of rectangular shape

From given,

Length = 135 feet

height = 285 feet

Find the perimeter

Perimeter = 2(length + width)

Perimeter = 2(135 + 285)

Perimeter = 2(420)

Perimeter = 840 feet

Find the ratio of the height to the perimeter of this mural.

Height : perimeter = 285 : 840

Reduce to lowest terms

Height : perimeter = 57 : 168

Thus ratio of height to perimeter is 57 : 168

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.