Answer:
1/4
Step-by-step explanation:
1)2²= 4
2)4²= 16
3)3x2/3=2
4)6+2-4/8=1/4
A pyramid is regular if its base is a regular polygon, that is a polygon with equal sides and angle measures.
(and the lateral edges of the pyramid are also equal to each other)
Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say
x.
The lateral faces are equilateral triangles of side length
x.
The lateral surface area is 72 cm^2, thus the area of one face is 72/4=36/2=18 cm^2.
now we need to find
x. Consider the picture attached, showing one lateral face of the pyramid.
by the Pythagorean theorem:

thus,

thus:

(cm^2)
but

is exactly the base area, since the base is a square of sidelength =
x cm.
So, the total surface area = base area + lateral area =

cm^2
Answer:

cm^2
The third choice is very useful. It's valid because two things that are both equal to 'y' are equal to each other, and it can be easily solved to find 'x'.
Answer:
x = 75
Step-by-step explanation:
Triangle BDH
The angle must add to 180 degrees
36+ 39 + DHB = 180
75 + DHB = 180
DBH = 180-75
DHB = 105
DBH + x = 180 since it is a straight line
105+ x = 180
x = 75
Answer:
^{2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Bx%5E%7B2%7D%20%2B%208x%20%2B%2041%5D%28x%20%2B%201%29%5E%7B2%7D)
Step-by-step explanation:
If -4 + 5i is a root of a polynomial, then it's conjugate -4 - 5i will also be a root of the same polynomial.
Therefore, the polynomial has 4 degree, and zeroes are (- 4 + 5i), (- 4 - 5i) and -1 with multiplicity 2.
Hence, the polynomial will be

⇒ ![f(x) = [x^{2} + 8x + (4 - 5i)(4 + 5i)] (x + 1)^{2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Bx%5E%7B2%7D%20%2B%208x%20%2B%20%284%20-%205i%29%284%20%2B%205i%29%5D%20%28x%20%2B%201%29%5E%7B2%7D)
⇒
(Answer)