find the length of side X in simplest radical form with a rational denominator (giving brainliest and thanks to all!)

x= √10/2

Step-by-step explanation:

if you use trig. functions:

sin 45° = opposite side /hypothenuse = x/√5

sin 45° = √2/ 2

√2/2 = x/√5 multiply both sides by √5

x= (√2*√5)/2 = √10/2

if you use that is a 45-45-90 special triangle

the sides are x, and hypothenuse must be x√2 in this type of triangles so in our case:

x√2 = √5 divide both sides by √2

x= √5/√2 multiply by √2/√2 which =1 and help us get rid of the radical from the denominator

x= (√5*√2)/ (√2*√2) = √10/2

the argument of alfred t. mahan, henry cabot lodge, and albert j. beveridge was the economically and mass production the the americans could not consume themselves. this led expansion to sell to other foreign nations for profits.

step-by-step explanation:

this is my explanation

c.) 38 blocks

mark brainliest   : )