Answer:
see explanation
Step-by-step explanation:
a
The tangent and the radius at the point of contact form a right angle
Using Pythagoras' identity on the right triangle formed.
Let x be the distance from the centre to P, then
x² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )
x = 
≈ 10.77 cm (to 2 dec. places )
b
let the required angle be Θ, then
Using the sine or cosine ratio in the right triangle.
cosΘ = 
= 
Θ = 
( ) ≈ 21.8°
Answer:
a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables.
Step-by-step explanation:
9514 1404 393
Answer:
12,566 ft ≈ 2.38 miles
Step-by-step explanation:
The circumference of a circle is given by the formula ...
C = πd
For a diameter of 4000 ft, the circumference of a circular crater is about ...
C = (4000 ft)(3.141593) ≈ 12,566 ft
At 5280 ft per mile, that distance is about ...
(12,566 ft)/(5280 ft/mi) ≈ 2.38 mi
The distance around the crater is about 12,566 ft or 2.38 miles.
So what you do is see all the denomenators and factor them (denomenaotrs are the bottom numbres)
10,4,10,25
10=2 times 5
4=2 times 2
10=2 times 5
25=5 times 5
we need to include all of them so we need at leas two 2's, and two 5's
2 times 2 times 5 times 5=100
leact common denomator is 100
