Answer:
27.2mm²
Step-by-step explanation:
Area of a triangle =
* base * height
Base of this triangle = 8mm
Height = 6.8mm
Area = 
= 4mm * 6.8mm
= 27.2mm²
Answer:
7,290
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
because your making it all to the zero power which equals zero
Answer:
angle 4 = 34 degrees
Step-by-step explanation:
angle 4 is equal to angle 2 because it is an alternate interior angle of 34 degrees.
Answer:
- slant height: 6 units
- lateral area: 108 square units
Step-by-step explanation:
<u>Given</u>
A right regular hexagonal pyramid with ...
- base side length 6 units
- base apothem 3√3 units
- height 3 units
<u>Find</u>
- lateral face slant height
- pyramid lateral surface area
<u>Solution</u>
a) The apothem (a) and height (b) of the pyramid are two legs of the right triangle having the slant height as its hypotenuse (c). The Pythagorean theorem tells us the relationship is ...
c = √(a² +b²) = √((3√3)² +3²) = √(27+9) = √36
c = 6
The slant height of the pyramid is 6 units.
__
b) The lateral surface area of the pyramid is the area of each triangular face, multiplied by the number of faces. The area of one face will be ...
A = (1/2)bh = (1/2)(6 units)(6 units) = 18 units²
Then the lateral surface area is 6 times this value:
SA = 6(18 units²) = 108 units²
The lateral surface area of the pyramid is 108 square units.