Given:
A figure of a right angle triangle.
To find:
The value of Tan R.
Solution:
Trigonometric Ratio: In a right angle triangle,

Using the above trigonometric ratio in the given triangle, we get


Therefore, the correct option is C.
Answer:
Barbara's speed in clear weather is
and in the thunderstorm is
.
Step-by-step explanation:
Let
be the speed and
be the time Barbara drives in clear weather, and let
be the speed and
be the time she drives in the thunderstorm.
Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,
(1). 
Also,
(2).
(3).
,
and
(4). 
From equations (2) and (3) we get:


putting these in equation (4) we get:

and substituting for
from equation (1) we get:

This equation can be rewritten as

which has solutions


We take the first solution
because it gives a positive value for 


.
Thus, Barbara's speed in clear weather is
and in the thunderstorm is
.
Answer:
w is 10 and l is 5
Step-by-step explanation:
l=w-5
lw=50
w^2-5w-50=(w-10)(w+5) since the negative solution does not make sense w=10 and therefore l is 5 so the length is 5 while the width is 10
In the attached diagram you can see the graph of the function 
As you can see graph is:
1. increasing from x = −2 to x = −1
2. decreasing from x = 0 to x = 1
3. decreasing and then increasing from x=1 to x=2
4. increasing from x=2 to x=4.
Answer: correct choice is B.
No because 21 ft equals 7 yd
which us bigger than 3 yd