Given triangle KLM with two sides given as 45 yd and 20 yd and a 25 degree angle opposite the 20 yd side.
We find the angle made at the opposite of the 45 yd side using the sine rule as follows.
Thus, the third angle is given by 180 - 25 - 71.97 = 83.03 degrees.
We also use the sine rule to find the third side of the triangle as follows.
Therefore, amount of fencing needed to surround the perimeter of the picnic area = 45 + 20 + 46.97 = 111.97 ≈ 120 yds
Answer:
<em>The correct answer is: False</em>
Step-by-step explanation:
<u>If the sum of the opposite angles in a quadrilateral is 180°</u>, then a circle can be circumscribed about the quadrilateral.
Here, 
but, 
So, a circle can't be circumscribed about the given quadrilateral.
Miles driven per hour is 60 miles per hour
Hours driven per mile is 0.01667 hours per mile
<em><u>Solution:</u></em>
Given that,
On a recent road trip, Mr. Yost drove 210 miles in 3 1/2 hours
Therefore,
Miles driven = 210 miles
To find: miles driven per hour and the hours driven per mile
<h3><u>Miles driven per hour</u></h3>
<h3><u>Hours driven per mile</u></h3>
Thus both the miles driven per hour and the hours driven per mile are found
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
