Answer: the length of the prism is 9cm
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × height × width
Volume = LWH
The length of the rectangular prism is three times the width.. It means that
L = 3W
The height and the width are the same. This means that
H = W
Therefore,
Volume = 3W × × W × W = 3W³
If the volume of the prism is 81 cubic centimeters, it means that
81 = 3W³
Dividing through by 3, it becomes
81/3 = 3W³/3
W³ = 27
Taking cube root of both sides, it becomes
W = 3
Therefore, the the length of the prism would be
L = 3W = 3 × 3
L = 9 cm
Answer: F
Step-by-step explanation:
1+2+...+n = n*(n+1)/2 for all natural numbers n.
Left-hand-side = (5+1)+(5+2)+...+(5+10)=5*10+10*(10+1)/2=50+55=105
Right-hand-side = (4)+(4+1)+...+(4+9)=4*10+9*(9+1)/2=40+45=85
105≠85
The equation is false
H(x) = 3x + 12 + 5x + 10
h(x) = 8x + 22
in 4 hrs Colby can make: 3(4)+12 = 24$
in 4 hrs Dan can make: 5(4)+10 = 30$
together they make 22+30=52$ in 4hrs
if split equally that's 52/2=26$ a piece
yes, Colby doesn't make as much money so he will benefit from teaming up with Dan.
0.6 is just what it seems like. 3/4 needs to be turned into a decimal for it to be compared with 0.6. 3/4 equates to 0.75, so we can see that 0.6 < 0.75.
Answer:
17 ft
Step-by-step explanation:
the fallen portion is 12 ft while the standing part is 5. If you add that together, it is 17.