Where is the table? I need to see a table to give the answer
Answer:
50
Step-by-step explanation:
In a right angled triangle :
Ratio of the leg Adjacent an angle to the hypotenus can be obtained using the Cosine trigonometric ratio
For an angle of 23° and and adjacent leg of 46
Cos 23 = adjacent / hypotenus
Adjacent / hypotenus = 0.92
46 / hypotenus = 0.92
Hypotenus = 46 / 0.92
Hypotenus = 50
The midpoint of the diameter endpoints is the center of the circle...
((2+9)/2, (4+4)/2)
(5.5, 4) is the center of the circle...
The distance between the two endpoints is the diameter of the circle...
d^2=(4-4)^2+(9-2)^2
d^2=0+49
d^2=49
d=7
So the radius is d/2 which is 3.5
Now the equation of a circle is:
(x-h)^2+(y-k)^2=r^2 where (h,k) is the coordinates of the center and r is the radius.
Earlier we found (h,k) to be (5.5, 4) and r=3.5 so our equation is:
(x-5.5)^2+(y-4)^2=3.5^2
(x-5.5)^2+(y-4)^2=12.25
Answer: 2 4/15 months
Step-by-step explanation:
From the question, we are informed that a wagon train traveled from Missouri to Wyoming in 1 2/3 months and from Wyoming to Utah in 3/5 month.
The number of months that it will take the wagon train to travel from Missouri to Utah will be:
= 1 2/3 + 3/5
The common lowest multiple is 15
= 1 10/15 + 9/15
= 1 19/15
= 1 + 1 4/15
= 2 4/15 months
It will take they train 2 4/15 months to travel from Missouri to Utah.