Answer:
An axiom is often a statement assumed to be true for the sake of expressing a logical sequence. ... These statements, which are derived from axioms, are called theorems. A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives.
Step-by-step explanation:
I think this is right, but don't quote me on this.
Rounded it is 11.7 cubic cm.
The perimeter is the total of adding all of the side lengths together.
A square has 4 equal side lengths.
So the perimeter of a square is:
P = s + s + s + s or P = 4s
[P = perimeter s = side lengths of the square]
Since you know the side length of the square is (x + 2 1/4), you can replace s with (x + 2 1/4)
P = 4s
P = 4(x + 2 1/4) Multiply 4 into (x + 2 1/4)
P = 4x + 8 4/4
P = 4x + 9
Since you know the perimeter, you can plug it in.(you could have also plugged it in in the beginning)
P = 4x + 9
14 = 4x + 9 Subtract 9 on both sides
5 = 4x Divide 4 on both sides
5/4 = x
Now that you know x, find the side length of the square.
(x + 2 1/4)
(5/4 + 2 1/4)
2 6/4 = 3 2/4 = 3 1/2 units or 3.5 units
To find the area of a square, you multiply 2 of the sides together:
A = s · s
A = 3.5 · 3.5
A = 12.25 units²
Answer:
30 out of 40: 75%
40 out of 50: 80%
40 out of 50 is the better score
The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
<h3>How to interpret Cycle Graphs?</h3>
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
Read more about Cycle Graphs at; brainly.com/question/24461724
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