Answer:
infinitely many solutions
Step-by-step explanation:
The two sides of this equation are identical. Thus, this is an 'identity.' The equation will be true no matter what value is substituted for x. Thus, there are infinitely many solutions.
The net for a triangular prism consists of
2 identical triangles, here all nets have sides 5,12, and 13.
3 rectangles, all with a common dimension: the height H=14 of the prism.
Each of the 3 rectangles should have dimensions
H=14 plus one of the following:
each of 5, 12, 13 corresponding to one side of the base (triangle).
So the dimensions of the rectangles are
5x14, 12x14, 13x14
And dimensions of the triangles are
5,12 and 13.
The total surface area is therefore
(5+12+13)*14 + 2*(5*12/2)
=420+60
=480.
There is only one net that satisfies this condition.
Answer:
37 inches
Step-by-step explanation:
The formula for diameter when you have the circumference is D =C / pi
So, we go 116.18 / 3.14, and we get 37 inches for the diameter of the tire.
Answer:
Matt would be correct because to find the volume you need to multiply the the sides
Step-by-step explanation:
1) x - number of nickels
2x - 1 - number of dimes
y - number of quarters
Altogether number of coins: x+2x-1+y =25, or 3x - 1 +y =25, 3x+y=26
2) 5x + 10(2x - 1) +25y = 490 (cents)
5x + 20x - 10 +25y = 490
25x +25y=500
x+y=20
3) Now, we need to solve a system of equations.
3x+y=26
x+y=20 → y=20 - x
3x+y=26 → 3x + 20 - x =26 → 2x = 6 → x= 3 (nickels)
y=20 - x → y =20 - 3 = 17 (quarters)
2x - 1 = 2*3 - 1 = 5 (dimes)
So, we have 3 (nickels), 17 (quarters), 5 (dimes).