Euclid used a somewhat different parallel postulate in trying to avoid the notion of the infinite. He observed that when two parallel lines are intersected by a third line, called a transversal, then if you measure two angles formed by these three lines, on the same side of the transversal and between the parallels, they will add to (that is, they will be supplementary). Such angles are called same-side interior angles<span>:</span>
Answer:
see explanation
Step-by-step explanation:
The perimeter is the length of all the sides in the figure.
The arc of the semi- circle is included in this.
length of arc = 
πd ← d is the diameter
here d = 8, hence
arc = π × 8 = 4π ← exact length
Perimeter = 10 + 8 + 10 + 4π ≈ 40.57 in ( nearest hundredth )
Answer:
Hope it helps....!!!!!
Step-by-step explanation:
AB = c = 38
BC = a = 29
AC = b
Angle ABC = 63 degrees
Solving for AC "b":
Cosine rule: c^2 = a^2 * b^2 -2ab * cos C
38^2 = 29^2 * b^2 - (2* 29) * b * (cos 38)
1444 = 841 * b^2 - 58 * b * 0.955
(1444 + 58)/0.955 = b^2 * b
1572.77486911 = b^3
11.62935 = b
11.63 = b (rounded to two decimal places)
Now solving for angle A:
Sine rule: a/sinA = b/sinB
29/sinA = 11.63/sin(63)
sinA/29 = sin(63)/11.63
sin A = (sin(63)/11.63) * 29
sin A = 0.41731
A = sin^-1 (0.41731)
A = 24 degrees 39 minutes 53 seconds
Now solving for angle C:
Sine rule: c/sinC = b/sinB
38/sinC = 11.63/sin(63)
sinC/38 = sin(63)/11.63
sin C = (sin(63)/11.63) * 38
sin C = 0.54682
C = sin^-1 (0.54682)
C = 33 degrees 8 minutes 56 seconds
All I can say is that your equation is wrong
Answer:
Step-by-step explanation:
The balance owed after t months can be given by an exponential function in the following format:
In which B(0) is the initial balance owed and r is the growth rate, as a decimal.
You owe $300 on your credit card. For every month that you fail to make a payment, your balance increases by 1%.
This means, respectively, that 
So
