Answer:
r = 5sec(θ)
Step-by-step explanation:
The usual conversion is ...
y = r·sin(θ)
x = r·cos(θ)
__
The second of these can be used here.
r·cos(θ) -5 = 0
r·cos(θ) = 5
r = 5/cos(θ) = 5sec(θ)
A suitable polar equation is ...
r = 5sec(θ)
Answer:
0.25
Step-by-step explanation:
From the given information:
Since the times are uniform distributed over the one hour period (0,1):
Then;


So,
and
are independent; then:




= 0.25
Answer:

Step-by-step explanation:
Remember that complementary angles <em>always </em>add up to 90°.
We know that the two complementary angles are represented by (x) and (x+14). In other words:

So, let's solve for x.
First, combine like terms:

Let's isolate the x by subtracting 14 from both sides:

The left cancels. Subtract on the right:

Divide both sides by 2:

The left side cancels. Divide on the right:

So, the value of x is 38°.
And we're done!
Answer:
Step-by-step explanation: