Answer:

Step-by-step explanation:
According to congruent chords and arcs theorem, if
then
.
This means that
Thus:
(full circle = 360°)



Plug in the values into the equation


Add like terms

Subtract 36 on both sides


Divide both sides by 12

Answer:
x = 2
Step-by-step explanation:
To solve the equation, you need to set both functions equal to each other and simplify to find the value of "x".
f(x) = 2x + 1
g(x) = -x + 7
f(x) = g(x) <----- Given equation
2x + 1 = -x + 7 <----- Insert functions
3x + 1 = 7 <----- Add "x" to both sides
3x = 6 <----- Subtract 1 from both sides
x = 2 <----- Divide both sides by 3
Answer:
the area of the circle: 25π
Step-by-step explanation:
45/4 π = 11.25π
9/10π = 0.9π
11.25π / 0.9π = x / 2π .... 360° = 2π
x = (11.25π x 2π) / 0.9π = 25π
The answer is the fraction is 66/100 or simplified, 2/3<span />
Answer:
r = 6
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportionality
To find k use the condition r = 4 when M = 160
k =
=
= 2.5, so
M = 2.5r³ ← equation of proportionality
When M = 540, then
540 = 2.5 r³ ( divide both sides by 2.5 )
216 = r³ ( take the cube root of both sides )
r =
= 6