Answer:
Volume of the triangular prism = 448 cm³
Step-by-step explanation:
Volume of the triangular prism = Area of the triangular base × Height of the triangular prism
Area of the triangular base = 
= 
= 64 units²
Volume of the triangular prism = 64 × 7
= 448 cm³
Answer:
ow sorry i can't understand:( btw thank you for using brainly:))
Answer: L = 29cm
Step-by-step explanation:
Let's go!!
To find any rectangle area, you have to apply this formula: A = L . w , where L is the length and w is the width.
So, we have w = L - 13 (the width is 13 less than the Length) and then, perimeter is 90 cm.
Well, I hope you remember that the perimeter of rectangle is 2L + 2W. In this case, 2L + 2w = 90
Then, you might to solve this system of equation:
2L + 2w = 90
w = L - 13
Simplifying the first equation, you'll have L + w = 45 (you can divide everything of 2).
Our new system:
L + w = 45
w = L - 13
Using the substituition method:
L + L - 13 = 45
2L = 58
L = 29 cm
the width is 29 - 13 = 16 cm
Because the last equation already has the y eliminated so just need to get the other two to eliminate the y too
multiply 4 to the first equation to eliminate y, and you get
-4x-4y-4z=-32
-4x+4y+5z=7
now get rid of y so all you have left is
-8x+z=-25 (let call this equation #4)
now take equation #3 and #4 together to solve for one of the variables, i’ll solve for z first so i’ll get rid of x by multiply the equation #4 all by 4, you get
8x+8z=16
-8x+z=-25
solve it and get 9z= -9; z=-1
now you have z so take it and ply it into equation #3
2x+2(-1)=4
2x=6; x=3
take both of them, plug it in equation #1
-3-y-(-1)=-8
-y=-6 ; y=6
done so the answer is (x,y,z) = (3,6,-1)
