Answer:
The height of the rock is 15 mm.
Step-by-step explanation:
Given : Cristian put a large rock on the bottom of the terrarium he made for his pet turtle.
To find : How high is the rock?
Solution :
The rock is a right rectangular prism 10 cm wide by 12 cm long.
Let the height be 'h'.
The volume of the right rectangular prism is 
i.e. 
The rock displaces 1800 cm³ of water.
i.e. The volume of the right rectangular prism is equal to the rock displaces of water.
So, 
Therefore, the height of the rock is 15 mm.
Answer:
When writing the grades of a diamond using the AGS Scale, diamond Cut grade is first, then diamond Color, Clarity, then Carat Weight—in that order. If a diamondpossessing the finest diamond Cut grade is also colorless, free of inclusions and blemishes, and weighs one carat, it would be written as: 0/0/0–1.000 carat.
Step-by-step explanation:
I Googled the question and found the answer, so you can do the same if you're confused about what I wrote.
The upside down u (intersection) just wants us to find what the two sets have in common....
which is 4 and 6
Substitute 8 into the formula and out comes 16<span>π!</span>
Numerator
<span><span>cos<span>(<span>π/2</span>−x)</span></span>=<span>cos<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>sin<span>(<span>π/2</span>)</span></span><span>sinx</span></span>
now <span><span>cos<span>(<span>π/2</span>)</span></span>=0 and <span>sin<span>(<span>π/2</span>)</span></span>=1</span>
simplifies to : 0 + sinx = sinx
Denominator
<span><span>sin<span>(<span>π/2</span>−x)</span></span>=<span>sin<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>cos<span>(<span>π/2</span>)</span></span><span>sinx</span></span>
simplifies to : cosx + 0 = cosx
<span>⇒<span><span>cos<span>(<span>π/2</span>−x)</span></span><span>sin<span>(<span>π/2</span>−x)</span></span></span>=<span><span>sinx/</span><span>cosx</span></span>=<span>tan<span>x</span></span></span>
