Answer:
a) 150°
b) 30°
Step-by-step explanation:
It is easier to work the exterior angle first.
<h3>b)</h3>
The sum of exterior angles is 360°. The exterior angle at any vertex of a regular dodecagon will be 1/12 that:
360°/12 = 30° . . . the measure of one exterior angle
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<h3>a)</h3>
The measure of an interior angle will be the supplement of the adjacent exterior angle.
180° -30° = 150° . . . the measure of one interior angle
X=<span>11/<span>12
hope it helps
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Answer:
6.16 hours
Step-by-step explanation:
Let the number of hours that washed the car together = T
Number of hours Matthew washed = m = 14 hours
Number of hours Arianna washed = a = 11 hours
The formula to calculate how many they wash the cars together is given as
1/a + 1/m = 1/T
1/14 + 1/11 = 1/T
Lowest Common Denominator = 154
Hence:
(11 + 14)/154 = 1/T
25/154 = 1/T
Cross Multiply
154 × 1 = 25 × T
T = 154/25
T = 6.16 hours
Therefore, it will take Matthew and Arianna 6.16 hours to wash the cars together
Answer:
The length of the arc is 0.333
Step-by-step explanation:
The length of the circumference is 6
A circle has 360° in total
So to know what fraction the 20° represent we have to divide it by 360°
20° / 360° = 1/18
This fraction if we multiply it by the circumference we will obtain the length of the arc
1/18 * 6 = 0.333
The length of the arc is 0.333
Step-by-step explanation:
$9100x(1+8%)*5-9100
=$4270.885
=$4271 (cor. to the nearest integer)
The interest is $4271 while the amount is 13371
