Answer:
45°
Step-by-step explanation:
The hour hand makes a trip of 360° around the face of the clock in 12 hours, so in 4.5 hours will make an angle of ...
... (4.5/12)·360° = 135°
clockwise from straight up.
The minute hand makes that 360° turn in 1 hour, so in 30 minutes, it will be 180° clockwise from straight up.
The difference between the angles of the hands is ...
... 180° -135° = 45°
this could be represented in the following way 5/15
Probability is
Fraction= 1/3
Decimal=0.33333333333333
Percentage:33.33333%
The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
We are given that:
2nd term of geometric progression = 1 / 18
5th term = 4 / 243
Now, we can also write it as:
2nd term = a r ( where r is the common ratio and a is the initial term.)
a r = 1 / 18
5th term = a r⁴
a r⁴ = 4 / 243
Now divide 5th term by 2nd term, we get that:
a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )
r³ = 72 / 243
r³ = 8 / 27
r = ∛ (8 / 27)
r = 2 / 3
3rd term = a r²
a r² = a r × r
= 1 / 18 × 2 / 3
3rd term = 1 / 27
Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
Learn more about geometric progression here:
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Your question was incomplete. Please refer the content below:
The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term
Answer:
The zero would be -2.714 (x-intercept)
Answer:
<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>
Step-by-step explanation:
At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.
The amount of pennies doubled each day. So the series is,

This series is in geometric progression.
As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

where,
a = initial term = 1,
r = common ratio = 2,
As we have find the number of days that would elapse before she has a total of more than 90 trillion, so








