<u>Answer:</u>
Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is <u>5.72cm </u>each.
<u>Step-by-step explanation:</u>
As the base of triangular prism is equilateral:
∴ Area of base = (√ 3 / 4)× (side)²
According to question:
height of prism = height (side) of base
Volume of prism = 81 cm³,
∴ Volume of prism = Area of base x height
⇒ 81 cm³ = (√ 3 / 4)× (side)² × height ∵ side = height
⇒ 81 cm³ = (√ 3 / 4)× (side)³
⇒ 81 × (4/√3) cm³ = side³
⇒ ∛(81 × (4/√3) cm = side
⇒ side = <u>5.72cm</u>
Answer:
(a)12%
(b)20%
(c)49%
Step-by-step explanation:
(a)In the age group 58 and above:
- Number in favor of building the skateboard ramps=6
- Number opposed to building the skateboard ramps=44
- Total = 50
Percentage of those in favor = 
(b)In the age group 18-37
- Number in favor of building the skateboard ramps=40
- Number opposed to building the skateboard ramps=10
- Total = 50
Percentage of those opposed to it = 
(c)
- Total Number of those in favor of building the skateboard ramps=73
- Total Number opposed to building the skateboard ramps=77
- Total = 150
Percentage of those in favour = 
Answer:
The equation the 16 x 6 = 96
and she would have 6 bags of dog treats
Step-by-step explanation:
Divide 108 and 72 by twelve and you get 9 and 6 which all you have to do it multiply together
Answer:
0.75c
Step-by-step explanation:
If we have an expression as:
a*x + b*x
We can see that both terms in the expression, a*x and b*x have an x, so we can call the x a common factor and we can write an equivalent expression as:
a*x + b*x = (a + b)*x
If we replace, for example, a by 2, b by 3 and x by 4, we can test the expression as:
2*4 + 3*4 = (2 + 3)*4
8 + 12 = (5)*4
20 = 20
Therefore, if we have the following expression:
c - 0.25*c
The expression that is equivalent is 0.75c and it is calculated as:
c - 0.25*c = (1 - 0.25)*c
c - 0.25*c = 0.75*c
