Answer:

Step-by-step explanation:
Given a circle centre J
Let the radius of the circle =r
LK is tangent to circle J at point K
From the diagram attached
Theorem: The angle between a tangent and a radius is 90 degrees.
By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.
Using Pythagoras Theorem:

The length of the radius, 
Answer:
Step-by-step explanation:
Rule Example
+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5
−(−) 6−(−3) = 6 + 3 = 9
+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5
−(+) 8−(+2) = 8 − 2 = 6
Answer:
-51
Step-by-step explanation:
Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable.
Given that y varies directly with x, if we introduce a constant of proportionality, k, the expression becomes
y = kx
If y = 8 when x = 3, then
8 = 3k
k = 3/8
Therefore, the direct variation equation that relates x and y is
y = 3x/8
When x = 12, then
y = 3 × 12/8
y = 4.5
Answer
0.63
Explanation:
Given the expression
tan 32
Using Calculator
tan 32 = 0.6248
Converting to nearest hunderdth
tan 32 = 0.63
hence tan 32 to the nearest hunderdth is 0.63