Answer:
x = 8 units.
Step-by-step explanation:
We'll begin by calculating the length of the two squares attached to the triangle.
From the question given above, the areas of the two square are the same i.e 32 units². Therefore, the length of the two square will be the same.
Now, we shall determine the length of the square as follow:
Area of square (A) = 32 units²
Length (L) =?
Area of square (A) = Length (L) × Length (L)
A = L × L
A = L²
32 = L²
Take the square root of both side
L = √32 units
Therefore, the length of the square is √32 units. This implies that the length of both side of the triangle is √32 units
Now, we shall determine the value of x using pythagoras theory.
From the diagram above we can see that x is the Hypothenus i.e the longest side. Thus, the value of x can be obtained as follow:
x² = (√32)² + (√32)²
x² = 32 + 32
x² = 64
Take the square root of both side
x = √64
x = 8 units.
Therefore, the value of x is 8 units.
Answer:
The dependent variable is p, or number of pizzas delivered.
Explanation:
The amount of money he gets for every pizza delivered will not change, but the amount of pizzas delivered can change.
Answer:
(a) at t=2, the particle is moving toward the origin
(b) a(t) = 70(8 -9t^2)/(3t^2 +8)^3; a(2) = -0.245
(c) the particle approaches x = 1/3 as t gets large
Step-by-step explanation:
(a) The function x(t) is negative for -3 < t < 3, so at t = 2, the particle is to the left of the origin.
The velocity of the particle is given by the derivative of the position function:
Then, at t=2, the expression is positive, indicating the particle is moving toward the origin.
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(b) The acceleration is the derivative of the velocity, so is ...
Then at t=2, the acceleration is ...
a(2) = 70(8 -9·4)/(3·4+8)^3 = 70(-28)/8000
a(2) = -0.245
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(c) As t gets large, the value of x(t) approaches t^2/(3t^2) = 1/3.
Answer:
230 points
Step-by-step explanation:
46 / 0.20% = 230
Answer:
$100
Step-by-step explanation:
If 1=$25, 2=$50, then 4*25=100 and 50*2=100
