Answer:
5.848 in
Step-by-step explanation:
Divide the piece of cardboard into nine equal squares of side z.
The centre square is the base of the cube.
When you cut out the corner squares and fold up the sides, you will have a cube with edge length z.
The cube must have a volume of 200 in³.
V = z³
200 = z³
![z = \sqrt[3]{200}](https://tex.z-dn.net/?f=z%20%3D%20%5Csqrt%5B3%5D%7B200%7D)
![z = \sqrt[3]{8\times25}](https://tex.z-dn.net/?f=z%20%3D%20%5Csqrt%5B3%5D%7B8%5Ctimes25%7D)
![z = 2\sqrt[3]{25}](https://tex.z-dn.net/?f=z%20%3D%202%5Csqrt%5B3%5D%7B25%7D)
z = 2 × 2.924
z = 5.848 in
The edge length of the cube is 5.848 in.
Cost of 1 plant = $ p
Cost of 4 plants = $(4p)
Cost of a 10-gallon tank = $10
Cost of a water dish = $3
Total cost = 4p + 10 + 3 = 4p + 13
35 x 12= 420 Multiply 35 by 12. that equals 420
Answer:
Perimeter of the rectangle=
Step-by-step explanation:
The perimeter of the rectangle with the given coordinates is the sum of its all four sides:
Let the points be A(1,-4), B(1,6), C(3,-4) and D(3,6)
Finding the sides of the rectangle using the Distance formula:
AB=

BC

CD=

AD=

Perimeter of the rectangle=AB+BC+CD+AD
=
Perimeter of the rectangle=
Answer:
A. = 20 in²
B. = 45 ft²
C. = 29.5 ft²
D. = 36 ft²
E. = 28 ft²
Step-by-step explanation:
A. Formula = A = (h_b b)/2 = base 10 ft height_b= 4ft = 20 ft²
B. We have a rectagnle and a triangle: Formula: A = lw
= A = 30 ft² and now the triangle with the same formula as above: A = 15 ft²
30 ft²+15 ft² = 45 ft²
C. we have 2 rectagnle and a triangle: First the small recangle: A= lw = A = 1ft x 2ft = 2ft²
Second rectangle: 5 ft x 4 ft = 20 ft²
Right angeled triangle Formula: (ab)/2 = 3 ft x 5 ft = 7.5 ft²
Add it all together: 2ft²+20ft²+7.5ft² = 29.5 ft²
D. is a rectangle and a triangle: 8 ft x 3 ft = 24ft²
the triangle 8 ft x 2ft = 12 ft²; add 24 ft²+12 ft² = 36ft²
E. is a right-angled triangle (see fromula above) = (14 ft x 4 ft)/2 = 28ft²