What is the length of the diagonal, d, of the rectangular prism shown below?
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Answer:
D).
Step-by-step explanation:
<u>STEP 1a:</u> Find the last angle of the triangle. ( which is angle A)
<u>STEP 1b:</u> Solve the equation for A by adding 90 and 45.
<u>STEP 1c:</u> Then Move all terms not containing A to the right side of the equation by subtracting 135 from both sides of the equation
<u>STEP 1d:</u> Subtract 135 from 180.
STEP 2a: Find side b next.
STEP 2b: The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
STEP 2c: Substitute the name of each side into the definition of the cosine function.
STEP 2d: Set up the equation to solve for the adjacent side, in this case b.
STEP 2e: Substitute the values of each variable into the formula for cosine.
STEP 2f: Cancel the common factor of 2.
HOPE THIS HELPS!
