Answer:
all work is shown and pictured
<h3>
Solution (a):</h3>
<em>~Let's change 9.9² to 10² since we have to estimate.~</em>
<u>We know that:</u>
- 10² = 100
- Given expression: 9.9² × 1.79
<u>Solving the expression:</u>
- 9.9² × 1.79
- => 10² × 1.79
- => 100 × 1.79
- => 179
The estimated value of 9.9² × 1.79 is 179.
<h3>Solution (b):</h3>
<em>~Let's change √97.5 to √100 and 1.96 to 2</em> <em>since we have to estimate.~</em>
<u>We know that:</u>
- √100 = 10
- Given expression: √97.5 ÷ 1.96
<u>Solving the expression:</u>
- √97.5 ÷ 1.96
- => √100 ÷ 2
- => 10 ÷ 2
- => 5
The estimated value of √97.5 ÷ 1.96 is 5.
Answer:
(a) ðz/ðt = 1500miles/hr
(b) 10minutes
Step-by-step explanation:
Let x rep plane one
Let y rep plane two
ðx/ðt = 1440miles/hr = speed of plane one
ðy/ðt = 420miles/hr = speed of plane 2
ðz/ðt = ? = rate of change of distance btw two plane moving at right angle to meet at point o...
See attachment
Since x² + y² = z²... equation 1
So therefore (240² + 70²) ^½= z = 250 miles = distance between two planes
Differential rate of equation 1 gives
(2x* ðx/ðt ) + (2y* ðy/ðt) = 2z* ðz/ðt
Substituting to get ðz/ðt
(2*240*1440) + (2*70*420) = 2*250*ðz/ðt
750000 = 500 ðz/ðt
ðz/ðt = 1500miles/hr
B.
Since v = d/t where d = distance = 250miles
t = time = ? = time needed for controller to divert one of e planes , v = 1500miles/hr
t = d/v = 250/1500 = 10minutes
Using the same form as above:
<span>a*1.025^t = 500. </span>
<span>a = 500/(1.025^t), where t=6 and a is the starting amount. </span>
<span>Thus: </span>
<span>a = 500/(1.025^6) = 431.148433 = 431.15$ </span>
Answer:
For a regular polygon, the perimeter is equal to the product of one side length and the number of sides of the polygon. For example, the perimeter of a regular pentagon whose side length 8 cm, is given by; Perimeter of a regular pentagon = 8 x 5 = 40 cm.
Step-by-step explanation:
I hope I've helped :).