Answer:
Step-by-step explanation:
The hour hand is 20 mm and the minute hand is
- 200% of 20 mm = 2*20 mm = 40 mm long
The tip of the hour hand travels 1/12 of the circle and the tip of the minute hand travels full circle in one hour.
Find each length and their difference using circumference formula.
<u>Hour hand</u>
- 1/12*(2*3.14*20) = 10.47 mm (rounded)
<u>Minute hand</u>
<u>The difference between the two above</u>
- 251.2 - 10.47 = 240.73 mm
Answer:
(2x^2+1)(4x+3)
Step-by-step explanation:
8x^3 + 6x^2 + 4x+3
Split into two groups
8x^3 + 6x^2 + 4x+3
Factor out 2x^2 from the first group and 1 from the second group
2x^2( 4x+3) +1( 4x+3)
Factor out (4x+3) from each group
(4x+3) (2x^2+1)
Rearranging the order
(2x^2+1)(4x+3)
40% of 60kg is 24 kg. Therefor the answer is 36 kg
Order of operations.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
We must do parenthesis first.
72 - 13 = 59
We have now
20 + 15(59) - 67 + 6
20 + 885 - 67 + 6
905 - 67 + 6
905 - 61
844
Hope this helped! If you have any questions then leave a comment.
The amount invested in the first account is $9,300 while the amount invested in the second account is $8,800.
<h3>
How do we calculate the amount invested?</h3>
Let x represents the amount invested in the first account.
Therefore, we have:
Amount invested in the second account = x - 500
Interest income from first account = 3% * x = 0.03x
Interest income from second account = 5% * (x - 500) = 0.05x - 25
Total interest income = 0.03x + 0.05x - 25 = 719
Solving for x, we have:
0.08x = 719 + 25
x = 744 / 0.08
x = $9,300
Substituting for x, we have:
Amount invested in the second account = $9,300 - $500 = $8,800
Learn more about the amount invested here: brainly.com/question/24132106.
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