Answer:
HJ = 33
Step-by-step explanation:
Given that point I is on segment HJ, then
HJ = HI + IJ ← substitute values
3x - 9 = x + x + 5, that is
3x - 9 = 2x + 5 ( subtract 2x from both sides )
x - 9 = 5 ( add 9 to both sides )
x = 14
Hence
HJ = 3x - 9 = (3 × 14) - 9 = 42 - 9 = 33
Answer: 
Step-by-step explanation:
Given
The slant height of the square pyramid is 
The length of the side of the base is 
for the square pyramid, height is given by
![\Rightarrow h=\sqrt{l^2-r^2}\quad \quad [\text{where r=}\frac{a}{2}]\\\Rightarrow h=\sqrt{25^2-7^2}\\\Rightarrow h=\sqrt{625-49}\\\Rightarrow h=\sqrt{576}\\\Rightarrow h=24\ ft](https://tex.z-dn.net/?f=%5CRightarrow%20h%3D%5Csqrt%7Bl%5E2-r%5E2%7D%5Cquad%20%5Cquad%20%5B%5Ctext%7Bwhere%20r%3D%7D%5Cfrac%7Ba%7D%7B2%7D%5D%5C%5C%5CRightarrow%20h%3D%5Csqrt%7B25%5E2-7%5E2%7D%5C%5C%5CRightarrow%20h%3D%5Csqrt%7B625-49%7D%5C%5C%5CRightarrow%20h%3D%5Csqrt%7B576%7D%5C%5C%5CRightarrow%20h%3D24%5C%20ft)
Thus, the height of the prism is
2 radical -108 is equivalent to 12 radical 3
You have to multiply 2.5 with 3.5 to get the area.
all the other numbers are just nonsense so to find the area you just need to multiply those 2 numbers.
2.5 km×3.5 km=8.75 km²