I'll do problem 12 to get you started
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Part (a)
The ratio 3:6:7 means the three sides are 3x, 6x and 7x centimeters long. The x is some positive real number.
The longest side is 7x, which is also 16.1, so 7x = 16.1
Divide both sides by 7 to isolate x
7x = 16.1
7x/7 = 16.1/7
x = 2.3
Now we can calculate the other two sides
3x = 3*2.3 = 6.9
6x = 6*2.3 = 13.8
<h3>The other two sides are 6.9 cm and 13.8 cm</h3>
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Part (b)
Add up the three sides to get
6.9 + 13.8 + 16.1 = 36.8
<h3>The perimeter is 36.8 cm.</h3>
The maximum height that the pendulum can reach will be 45 meters.
<h3>How to calculate the height?</h3>
It should be noted that the total energy at A should be equal to the total energy at B.
Therefore, this will be calculated thus:
1/2(14)² + 10(35) = 1/2(0)² + mgH
98 + 350 = 10H
448 = 10H
H = 448/10
H = 44.8 meters
H = 45 meters approximately
Learn mote about height on:
brainly.com/question/983412
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Step-by-step explanation:
5 - n/2 = 12
10/2 - n/2 = 12
n = (12 × (-2)) + 10
n = (-24) + 10
n = <u>-1</u><u>4</u>
Let's prove it :
Conclusion :
5 - n/2 = 12
5 - (-14/2) = 12
and
n = -14
Answer:
v(t) = 6t^2 +5
Step-by-step explanation:
Velocity is the derivative of position. The derivative of a sum is the sum of the derivatives of its terms. The power rule for derivatives is ...
(d/dx)(x^n) = n·x^(n-1)
So, the derivative of d(t) is ...
v(t) = 2(3t^2) +5(1t^0)
v(t) = 6t^2 +5 . . . . matches choice C
