Answer:
The length of v is 6 inches
Step-by-step explanation:
Here, we want to calculate the length of v to the nearest inch
The best way to go about this is to use the sine rule
But before we proceed, we need the measure of angle V
Mathematically, since we have a triangle
W + U + V = 180
This is the sum of angles in a triangle
56 + 117 + V = 180
V = 180-56-117
V = 7 degrees
so we proceed to use sine rule to get the length of v
Mathematically;
v/Sin V = u/Sin U
Thus;
v/sin 7 = 44/sin 117
v = 44sin 7/sin 117
v = 6.018
This is approximately 6 inches
Answer:33.6
Step-by-step explanation:
<span>The angles of the figure are complementary, that is, the sum between them is equal to 90º.
Solving:
54º + 4xº = 90º
4xº = 90 - 54º
4xº = 36º
</span>


<span>
We have:
54º + 4.xº = 90º
54º + 4.(9º) = 90º
54º + 36º = 90º
90º = 90º (TRUE)
Answer:
</span><span>
The value of the variable is 9º</span>
Answer:
Mean speed = 41.3 mph
Step-by-step explanation:
Given that,
The speeds of an automobiles are given below:
20, 35, 42, 52, 65, 49, 24, 37, 23, 41, 50, 58
We need to find the mean speed of the cars.
Mean = sum of observations/ no. of observation

So, the mean speed of the cars is equal to 41.3 mph.