Answer:
C. 18 cm
Step-by-step explanation:
The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio
3 : 4 : 5 = 9 : 12 : 15
Half of XY is 9 cm, so the length of the entire chord is 18 cm.
_____
The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).
The unknown side (a) can be found from ...
15² = 12² +a²
225 -144 = a² . . . . . . subtract 12²
81 = a² . . . . . . . . . . . simplify
9 = a . . . . . . . . . . . . . take the square root
The chord length is 2a, so is ...
2(9 cm) = 18 cm . . . . length of chord XY
Answer:
#6 = 1; #7 = A (5 gallons)
Step-by-step explanation:
#6 it is 1 because you are suppose to divide 10% of 50 which gave yuu $5 and then divide 5 by 20% which is 1
Answer:
a) y = 9.95(x-3) + 20.00
b) Cost of 5 software packages = $39.90
Step-by-step explanation:
Given that:
Cost of 3 software at sale = $20
Cost of regular = $9.95
Let,
x be the number of software purchased.
We will subtract 3 from x because they cost $20.
y be the total cost.
y = 9.95(x-3)+ 20.00
Putting x=5 in expression
y = 9.95(5-3) + 20.00
y = 2(9.95) + 20.00
y = 19.90 + 20.00
y = $39.90
Hence,
a) y = 9.95(x-3) + 20.00
b) Cost of 5 software packages = $39.90
The answer is 2,444444444444444
