Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle.
Sum the sides and equate to 54, that is
3x + 4x + 5x = 54, that is
12x = 54 ( divide both sides by 12 )
x = 4.5
Thus
AB = 3x = 3 × 4.5 = 13.5 in
BC = 4x = 4 × 4.5 = 18 in
AC = 5x = 5 × 4.5 = 22.5 in
Answer:
33/4
Step-by-step explanation:
Known :
r = 6
h = 8
Asked :
V = ...?
Answer :
V = ⅓πr²h
= ⅓ × 3.14 × 6² × 8
= ⅓ × 3.14 × 36 × 8
= 3.14 × 12 × 8
= 301.44 units²
= <u>3</u><u>0</u><u>0</u><u> </u><u>units²</u> (rounded)
So, the volume of the cone is 300 units²
<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
Answer:
10x^2-11x-6
Step-by-step explanation:
To expand, we use the FOIL method. You do this by multiplying each number inside the parenthesis by the other numbers in the other set of the parenthesis. For example, on this problem, you would multiply 5x by 2x, and then 5x by -3.
Step by step, you would:
5x * 2x = 10x^2
5x * -3 = -15x
2 * 2x = 4x
2 * -3 = -6
In an equation, it would expand to 10x^2-15x+4x-6
To simplify, you add like terms (constants and those with the same variable). In this case, you would add together all the terms ending in x.
-15x+4x=-11x
Now, you have added like terms together, so your simplified answer is 10x^2-11x-6.
Answer:
D: A bond between two atoms
Step-by-step explanation:
