Answer:
Step-by-step explanation:
Given: Perimeter of base of a pyramid = 12.8 m
Height of the pyramid = 12.5 m
To find: volume of a pyramid
Solution:
Perimeter of base of a pyramid = 12.8 m
As base of the pyramid is a square,
12.8 = 
side of a square = 
Area of a square (A) = 
Height of the pyramid (h) = 12.5 m
Volume of the pyramid = 
Let the sides of the polygon (which is a triangle, by the way) be x, y and z. The sum of x, y and z is the perimeter of the original poly, and this equals 18 cm.
Letting f be the scale factor, f(18 cm) = 12 cm. Then f=2/3.
The dilation reduces the size of the polygon by a factor of 1/3, producing a similar polygon which is 2/3 the size of the original one.
In each case we have 3 side lengths but no angles. We can use Heron's formula to obtain the area in each case. Look up Heron's formula. In one version of this formula, p is half the actual perimeter, meaning that p is 18 cm / 2 for the first triangle and 12 cm / 2 for the second.
The area of the first triangle would be
A18 = sqrt( 9(9-x)(9-y)(9-z) )
whereas
A12 = sqrt( 6(6-x*a)(6-y*a)(6-z*a) ), where a represents the dilation factor 2/3.
Then the ratio of the areas of the 2 triangles is
sqrt( 6(6-x*a)(6-y*a)(6-z*a) )
---------------------------------------
sqrt( 9(9-x)(9-y)(9-z) )
Answer:
3/2
Step-by-step explanation:
slope formula:
where y2= 7
y1=4
x2=9
x1=7
so
3/2
Hope this helps!
Answer:
Volume of tent = 189 ft^3
Step-by-step explanation:
triangle area = 1/2 x bh
a = 1/2 x 7 x 6
a = 1/2 x 42
a = 21
now find the volume with a=21 as B and h= 9ft (the length of the tent)
v=Bh
v = 21 x 9
v = 189 ft ^3
