Find the length of a diagonal AB in the rectangular prism

Hi there!

Find the length of AB by finding the length of its base:

We can use sine to solve for the length of the Hypotenuse of the triangle located in the base:

sin  = O / H

sin 50° = 24 / H

h * sin 50° = 24 ----> h = 24 / (sin 50°)

h ≈ 31.33 in

Use the Pythagorean Theorem to solve for the length of the diagonal since we have solved for the base of the triangle:

c² = a² + b²

c² = 31.33² + 9²

c² = 1062.57

c ≈ 32.60 in

AB = 32.60 in

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2