Answer:
D. Rectangle
Step-by-step explanation:
The base of the Pyramid is a rectangle and you know that the plane that intersects the pryamid is parallel to its base. So the cross section will be also a rectangle.
If you take z=0 (floor or the pyramid base)
Put the plane in z=0 the cross section will be the rectangular base. it is also parellel to the base
Now start to move the plane on the Z axis the cros section will continue to be a rectangle is just is section that changes.
To determine what the circumference is simply take the value of the diameter and multiply it to the value of Pi or 3.141....
C = Pi • d
C = (3.14)(10 cm)
C = 31.41 cm or 31.4 cm, rounded to the nearest tenth.
Answer:
D. 37.22%
Step-by-step explanation:
One of my favorite probability z-table websites calculates the fraction as 0.3722 = 37.22%.
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Your graphing calculator or spreadsheet can probably do the same for you.
I believe the answer is 7^-15, here’s a quick explanation:
multiply the exponents, but my answer is for simplifying the expression, i hope it helped!
Answer:
B . (fog)(-4) = - 61
Step-by-step explanation:
Here, given f(x) = 4 x + 7, g(x) = 3 x- 5
Now, by the COMPOSITE FUNCTION:
(f o g) (x) = f (g(x))
Now here: )f o g) ( -4) = f (g(-4))
<u>Simplifying for g(x) = 3 x - 5</u>
g(-4) = 3 (-4) - 5 = -12 - 5 = -17
or, g (-4) = -17
Now, <u>for f(x) = 4 x + 7 </u>
f ( g(-4)) = f ( -17) = 4 (-17) + 7
= - 68 + 7 = - 61
or, f ( g(-4)) = - 61
Hence, (fog)(-4) = - 61