Answer:
∠ ABC = 22°
Step-by-step explanation:
OA = OB ( radii of circle )
Then Δ OAB is isosceles with base angles congruent , that is
∠ OBA = ∠ OAB = 17x
The sum of the 3 angles in the triangle sum to 180°
17x + 17x + 11x = 180
45x = 180 ( divide both sides by 45 )
x = 4
Then
∠ OBA = 17x = 17(4) = 68°
BC is a tangent so ∠ OBC = 90°
∠ ABC = 90° - ∠ OBA = 90° - 68° = 22°
The answer is 5 because if you add 10 to -10 it is 0 then add the 5 more and it is 5.
Answer: The interest is: $150.00
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $6000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 6....month(s) time periods.
Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.
Do this by dividing your time, 6- month(s), by 12, since there's 12 months in 1 year.
So, t is 0.5....year time periods.
To find the simple interest, we multiply 6000 × 0.05 × 0.5 to get that:
The interest is: $150.00
Answer:
5m - 4n
5(5) - 4(3) ( As m= 5 and n= 3)
25 - 12
= 13
