9514 1404 393
Answer:
470.16 cm²
Step-by-step explanation:
The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.
The apothem of the base for side length s is ...
s/2 = a·tan(π/8)
a = s/(2·tan(π/8)) ≈ 7.24 cm
The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...
x² = 10² + a² = 100 +52.46
x ≈ √152.46 ≈ 12.35
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The area of the 8 triangular faces will be ...
A = 1/2Px . . . . where P is the perimeter of the pyramid
The area of the base will be ...
A = 1/2Pa
So, the total surface area is ...
A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²
Simple, rewrite this equation, in y=mx+b form.
Move over the 5x, making it look like, -y=-5x+14
Then, just simply divide by the negative one in front of the y.
y=5x-14.
Solution:
<u>We know that:</u>
- Radius: 18 yards
- πr² = Area of circle
- π = 3.14
<u>Finding the area of the circle:</u>
- (π)(r²) = Area of circle
- => (3.14)(18²) = Area of circle
- => (3.14)(324) = Area of circle
- => Area of circle = 3.14 x 324 = 1017.36 yards²
The area of a paralellogram is bh
each dimention is multiplied by n
b turns to bn
h turns to hn
bh turns to (bn)(hn) or bnhn or bhn²
expression is bhnn or bhn² or bhn^2 (depends if the program will let you enter the exponent)
9514 1404 393
Answer:
60 square units
Step-by-step explanation:
The area is given by the formula ...
A = bh
The base of this parallelogram is 15 units, and its height is 4 units. The area is ...
A = (15 u)(4 u) = 60 u²
The area is 60 square units.
