Not sure if this is right or not, but I chose 125.11 after I typed in the equation, haven’t used R-value at all. Will comment if correct — APEX
To answer this question you should begin with the coin that has a higher value. If you start with the dime and then just add the correct number of pennies to total $0.40, you will see that you will need 3 dimes ($0.30) and 10 pennies ($0.10).
I used a guess and check strategy starting with 2 dimes.
Answer:
The parametric equations for the tangent line are
:
x = Cos(10) - t×Sin(10)
y = Sin(10) + t×Cos(10)
z = 20 + 2t
Step-by-step explanation:
When Z=20:
Z=2t=20 ⇒ t=10
The point of tangency is:
r(10)= Cos(10) i + Sin(10) j + 20 k
We have to find the derivative of r(t) to get the tangent line:
r'(t)= -Sin(t) i + Cos(t) j + 2 k
The direction vector at t=10 is:
r'(10)= -Sin(10) i + Cos(10) j + 2 k
So, the equation of the tangent line is given by:
x = cos 10 -t×Sin(10)
y = sin 10 + t×Cos(10)
z = 20 + 2t
We simply need to solve for the circumference of the imaginary circle.
Given:
Diameter = 25 feet.
Circumference = 2 * radius * π OR Circumference = diameter * π
C = 25feet * 3.14
C = 78.50 feet
The pony will walk 78.50 feet to complete one trip around the circle.
<span>1. To
solve this problem you must apply the formula for calcúlate the area of a
trapezoid, which is shown below:
A=(B+b)h/2
A is the area of the trapezoid (A=24).
B is the larger base </span>of the trapezoid <span>(B=5).
b is the smaller base </span>of the trapezoid<span> (b=5).
h is the height </span><span>of the trapezoid.
2. You must clear "h" from the formula:
</span><span>
A=(B+b)h/2
</span> 2A=<span>(B+b)h
</span> h=2A/<span>(B+b)
</span><span>
3. When you susbtitute the values into </span> h=2A/(B+b), you obtain:
h=2A/<span>(B+b)
</span><span> h=2(24)/(5+3)
h=48/8
h=6
</span>
