We have been given that a right △ABC is inscribed in circle k(O, r).
m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.
First of all, we will draw a diagram that represent the given scenario.
We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.
We will use sine to find side AB.
Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is 
.
Therefore, the radius of given circle would be 18 cm.
Answer:
17 quarters, 37 nickels
Step-by-step explanation:
We just have to set up a system of equations
quarters are x
and nickels are y
x+y=54
0.25x+0.05y=6.10
now we can get ready to substitute
x=54-y
substitute it in
0.25(54-y)+0.05y=6.10
simplify/evaluate
13.5-0.25y+0.05y=6.10
-0.2y=-7.4
y=37
plug it back in
x+37=54
x=17
It is 45 because angle EBC is congruent to CDE (x) because of a rule called alternate angles. so x= 45°
Answer:
56 miles
Step-by-step explanation:
First, we minus the total paid with the cost of the taxi = $18-$4 = $14
$14 is what Alex paid for total of miles she travel
Each mile = $0.25
So, $14 ÷ $ 0.25 = 56 miles
