<u>Part</u><u> </u><u>(</u><u>a</u><u>)</u>
Using the quotient rule, the blank is 11/5.
<u>Part</u><u> </u><u>(</u><u>b</u><u>)</u>
Using the product rule, the blank is 9.
<u>Part</u><u> </u><u>(</u><u>c</u><u>)</u>
Using the power rule, the blank is 5.
 
        
             
        
        
        
Answer: SAS similarity postulate
Step-by-step explanation:
According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.
In triangles, QNR and MNP,



Also,
 (Reflexive)
  (Reflexive)
Thus, By SAS similarity postulate,

⇒ Option first is correct.
 
        
             
        
        
        
We can solve this two different ways. I'll do both, and you choose which one makes the most sense:
We can divide the fraction 3/4 by 12. remember, when we divide fractions, we flip the second fraction and change the sign to multiplication:
3/4 ÷12     [starting equation]
3/4 x 1/12  [flip and change sign]
3/48    [now reduce]
1/16 Each step takes 1/16 of an hour. 
1/16 x 60 = 3 3/4, or 3.75 minutes
Second way:
3/4 of an hour is 3/4 of 60...45 minutes.
Still, we divide out:
45 ÷ 12   [starting equation]
3 9/12    [divide with remainder]
3 3/4 minutes...3.75 minutes
        
             
        
        
        
Answer:
<em>The SUV is running at 70 km/h</em>
Step-by-step explanation:
<u>Speed As Rate Of Change
</u>
The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.
This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)
We'll compute  :


We know d'=20 km/h, so we can solve for x' and find the speed of the SUV

Thus we have

Solving for x'

Since y'=-60


The SUV is running at 70 km/h
 
        
             
        
        
        
Answer:
length of a single chain link = 5.33 cm
Step-by-step explanation:
Given data: chain contained 1000 chain links
total length was 0.0533km
<em>1km = 1000m </em>
<em> 1m = 100cm therefore 1km = 100000cm</em>
<em />
total length in cm = 0.0533* 100000
total length in cm = 5330 cm
length of a single chain link = 5330/1000
length of a single chain link = 5.33 cm