<span>A solid that has faces which consist of two squares and four congruent rectangles is called a rectangular prism. It </span><span>has six faces that are rectangles. It has the same cross-section along a length, which makes it a </span>prism<span>. It is also a "cuboid". Hope this answers the question.</span>
Let
x-----------> <span>the side length of a pyramid square base
h-----------> t</span>he height of the sculpture <span>in the shape of a pyramid
we know that
h=(x-3)
Volume=162 cm</span>³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- <span>this equation can be used to find the length of the sculpture’s base
using a graph tool-----------> </span>to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm
the answer is
<span>
the length of the sculpture’s base is 9 cm</span>
the height of the sculpture is 6 cm
Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
Answer:
Step-by-step explanation:
Answer:
12,495 is the answer
Step-by-step explanation:
if 60 beats = 1 minute, and a minute is 60 seconds then 1,000,000 beats has to be divided by 60 = 16667 rounded to the nearest hundred thousand and divide that by 1440 (How many seconds in a day) = 11.574 days.
That equates to 11days, 13hours, 46 min, and 40 sec