45+55=100 180-100=80 that makes y = 80, and vertical angles makes x=80
Answer: 250 mi
Step-by-step explanation:
Here we can think in a triangle rectangle:
The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.
And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.
Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.
Now we can apply the Pythagorean's theorem:
A^2 + B^2 = H^2
Where A and B are the cathetus, and H is the hypotenuse:
Then:
H = √(A^2 + B^2)
H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi
Then the estimated distance from Atlanta to Nashville is 250 mi
Answer:
a
b
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
Generally 2 year is equal to 24 months
Generally the percentage of total production will the company expect to replace is mathematically represented as

Generally 

Generally from the z-table

So

Converting to percentage

=>
Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

=> 
From the normal distribution table the z-score for 0.06 at the lower tail is

So

=>
As per the problem
Jing spent
of her money on a pack of pens.
of her money on a pack of markers.
and
of her money on a pack of pencils.
Total fraction of money spent cab be given as below
Fraction of Money Spent =
Take the LCD of denominator, we get LCD of (3,2,8)=24
Fraction of Money Spent =

Answer:
Boat traveled 553.24 feet towards the lighthouse.
Step-by-step explanation:
In the figure attached AB is the light house of height 200 feet.
Angle of depression of the boat from the top of a lighthouse = angle of elevation of the lighthouse from the boat = 14°52'
so 1' =
degree
so angle of elevation at point C = 14 + 
So angle of elevation from C = (14 + 0.87) = 14.87°
Similarly, when boat arrives at point D angle of elevation = 45°10' = 45 +
= 45.17°
Now we have to calculate the distance CD, traveled by the boat.
In ΔABC
tan14.87 = 
0.2655 = 
BC = 
BC = 753.239 feet
Similarly in ΔABD
tan45.17 = 
1 = 
BD = 200 feet
So distance CD = BC - BD
CD = 753.239 - 200
= 553.24 feet
Therefore, Boat traveled 553.24 feet towards the lighthouse.