Answer:
58
Step-by-step explanation:
Angle NPO is a right angle, then the angle 32 is equal to angle PNO, so x = 90 - 32 = 58.
Answer:
8 and -2
Step-by-step explanation:
8 (-2) = -16
8 + (-2) = 6
multiples of 4: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60
12 24 36 and 48 are the only common factors
so 4 days
<span>The <u>correct answer</u> is:
576 sq. cm.
Explanation:
The surface area of a figure is the sum of the areas of the faces of the figure.
The slant height goes from the apex of the pyramid along a face and is perpendicular to the base at the bottom of that face. This gives us 2 measurements of each triangular face of the pyramid: the height (the slant height of the pyramid is the height of the triangular face), 18 cm, and the base <span>of the triangular face, 12 cm.
The formula for the area of a triangle is A = 1/2bh; using our measurements we have:
A = 1/2(12)(18) = 108 sq. cm.
There are 4 triangular faces on a square pyramid, and each will have an area of 108 sq. cm.; this gives us:
4(108) = 432 sq. cm.
The area of the base is given by length times width, or 12*12 = 144 sq. cm.
This gives us a total surface area of 432+144=576 sq. cm.</span></span>