Answer:
Option B
Step-by-step explanation:
To solve this, the Pythagorean Theorem is needed. For option A, to make the statement true, 4 squared plus 7 squared MUST equal 9 squared. So, if you take 16 and add 49 to it you do NOT get 81.
For option B, 5 squared plus 12 squared is the same as 25 plus 144. That equals 169, which IS 13 squared.
It is not option C because 20 squared plus 22 squared doesn't equal 24 squared
Answer:
672
Step-by-step explanation:
Okay so, the surface area of a figure is just all the areas of the faces added together. The front face ( 9x16 ) would be 144. The back face would be 12x9 or 109. The base would be 20x9 or 180. Now, this is where it might get tricky. The triangles will be 12x20x0.5 or 1/2. The answer for that would be 120. Now since there are two, multiply the 120 by two. ( Technically, since there are two of the same triangles you would not need to multiply by 0.5, but just to be safe i'll do it here. ) Finally, add all the areas together. The final answer is 672. Hope this helps!
Answer:
31
Step-by-step explanation:
In order to guarantee that you get 3 colors, you much choose a number that exceeds the number of marbles of the most prevalent 2 colors.
That is, you could choose 30 marbles and only end up with 16 green and 14 blue. To guarantee that you also choose a red, you must choose 31 marbles.
Answer: -4
Work: So, to get -4, we need to simplify the equation. If you see any equation with +(- that's subtraction. So, with the rule, this equation is basically 8-12, and that's -4.
Answer:
see explanation
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= , substitute values
= ( cross- multiply )
4XZ = 144 ( divide both sides by 4 )
XZ = 36 cm
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Also
= , substitute values
= ( cross- multiply )
16BC = 192 ( divide both sides by 16 )
BC = 12 cm