Determine the center and radius of the following circle equation: x^2+y^2+12x-10y+12=0
2 answers:
You might be interested in
Answer:
Building's shadow length = 180 feet.
Step-by-step explanation:
Given:
A 50-foot flagpole is at the entrance of a building that is 300 feet tall.
Its forms a right angled triangle from both ends,both of them are similar because the angle of the sun is the same at the same time of day.
From similar triangle property we can say that.
⇒ length of the building shadow times height of the flagpole's = length of the flagpole's shadow times height of the building
Or
Plugging the values in the above equation we have,
Let length of the building shadow ='x' feet
⇒
⇒
⇒
⇒
⇒ feet.
So the length of the building shadow is 180 feet.
Answer: The total number of logs in the pile is 6.
Step-by-step explanation: Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.
We are to find the total number of logs in the pile.
Let n represents the total number of logs in the pile.
Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with
first term, a = 32 and common difference, d = -6.
We know that
the n-th term of an arithmetic sequence with first term a and common difference d is
Since there are n logs in the pile, so we get
Thus, the total number of logs in the pile is 6.