The volume of the solid is 540 mm
Step-by-step explanation:
The volume a rectangular prism is calculated as the product of its length, width and height.
Mathematically, V=l*w*h where l is length of the prism, w is width and h is the height
Given that the dimensions of the rectangular prism as;
Length=15 mm
Width= 6 mm
Height = 6 mm
V=15*6*6= <u>540 mm
</u>
<h2>
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Answer:
109 degrees
Step-by-step explanation:
Since we can see that the line on the top, the one across the yellow box, is the main one, and that one measures 180*, so that means that we have to just subtract 180 by 71, and that will be our answer!
180-71 =109
So, the angle of the missing angle is 109 degrees.
Another proof that this is your answer is that 109 degrees is obtuse, and we can easily say that the angle here is also obtuse.
6x²+x-12
the first thing we need to do is find 2 numbers that add up to equal the middle term (1) but multiply together to get a product of -72 (-12*6)
two numbers that would fit this is 9 and -8
so now we placed 9x and -8x in place of the middle term
6x²+9x-8x-12
now we look for whats common between the first two numbers and divide them out
6x²+9x = 3x(2x+3)
now we do the same with the last two numbers
-8x-12 = -4(2x+3)
notice how the numbers in brackets are the same (2x+3)
we will keep (2x+3) and then combine the numbers on the outside
once we do that you should get an answer of
(3x-4)(2x+3)
hope this helped!
