Answer:
The volume of the triangular prism is <em>51</em><em>.</em><em>84</em><em> </em><em>cm</em><em>^</em><em>3</em>.
Step-by-step explanation:
The formula of the volume of a prism is:
V = Ah
where:
V = Volume of prism
A = Area of uniform cross-section or base of prism
h = Height of prism = 6 cm
We can substitute the information given in the problem into this formula.
To find A, we need to find the area of the triangular base.
A = bh / 2
where:
b = Base of triangle = 5.4 cm
h = Perpendicular height of triangle = 3.2 cm
We can substitute the information given in the problem into this formula.
A = ( 5.4 × 3.2 ) / 2
A = 17.28 / 2
A = 8.64 cm^2
Substitute the value of A into the original volume of a prism formula with the other information given in the problem.
V = Ah
V = ( 8.64 ) ( 6 )
V = 51.84 cm^3
Answer:
the greatest common factor is 2
Step-by-step explanation:
none of the other numbers listed can go into 10, 14, and 16.
I don't know if this is right but 0.125
Answer: There will be 25 red roses and 20 pink roses.
Step-by-step explanation: If the ratio is 5 to 4 then we can add 5 and 4 together to get 9. 45 is divisible by 9. 9 goes into 45, 5 times. If we multiply 5 by 5 then it will be 25 which is 5/9 of 45. Then if we do the same thing but we multiply 4 times 5 then we will get 20 which is the other 4/9 of the ratio.
Answer:
c. 3x + 15
The son is currently 12 years old.
The father is currently 42 years old.
Step-by-step explanation:
x = the son's age 2 years ago
x + 2 = the son's age in the present
x + 5 = the son's age 3 years from now
f = the father's age 2 years ago = 4x
f + 2 = the father's age in the present = 4x + 2
f + 5 = the father's age 3 years from now = 3(x + 5) = 4x + 5
*3(x + 5) when distributed is equivalent to 3x + 15
4x + 5 = 3x + 15
x + 5 = 15
x = 10
This means that:
Present age of the son: (10) + 2 = 12 years old
Present age of the father: 4(10) + 2 = 42 years old
~Hope this Helps!~
