Answer:
30.7 cm² (nearest tenth)
Step-by-step explanation:
Area of the wooden block = area of rectangle - area of semi-circle
Area of Rectangle = length × width
Length = 9 cm
Width = 4.5 cm
Area of rectangle = 40.5 cm²
Area of semi-circle = ½(πr²)
Radius (r) = ½ of diameter = ½*5 = 2.5 cm
π = 3.14
Area of semi-circle = ½(3.14*2.5²)
Area of semi-circle = 9.8125 cm²
✅Area of the wooden block = 40.5 - 9.8125 = 30.7 cm² (nearest tenth)
<u>Given</u>:
An Exhibitor is selling decorative wreaths at an arts and craft show.
The net profit P in dollars from the sales of the Wreaths is given by
, where N is the number of wreaths sold.
We need to determine the number of wreaths sold to earn a net profit of $100.
<u>Number of wreaths sold:</u>
The number of wreaths sold to earn a profit of $100 can be determined by substituting P(n) = 100 in the equation
, we get;




Thus, the number of wreaths sold is 200.
Answer:
Correct option (A).
Step-by-step explanation:
The probability of an individual catching a flu when he or she has taken vitamin C is, P (F|C) = 0.0342.
The probability of an individual catching a flu when he or she has not taken vitamin C is, P (F|C') = 0.2653.
Th ratio of individuals who caught the flu when they did not take vitamin C to those who took vitamin C is:

This implies that:

Thus, the the individuals not taking vitamin C are 7.7573. Times more likely to catch the flu than individuals taking vitamin C.
The statement is True.
Answer:
An alternative definition for the acceleration ax that can be written in terms of
and
is 
Step-by-step explanation:
We know that :

Now we are supposed to find an alternative definition for the acceleration ax that can be written in terms of
and 
So, We will use chain rule over here :
![a_x=\frac{dv_x}{dt}\\a_x=\frac{dv_x}{dt} \times \frac{dx}{dx}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt} [\frac{dx}{dt}=v_x]\\a_x=\frac{dv_x}{dx} \times v_x\\a_x=v_x\frac{dv_x}{dx}](https://tex.z-dn.net/?f=a_x%3D%5Cfrac%7Bdv_x%7D%7Bdt%7D%5C%5Ca_x%3D%5Cfrac%7Bdv_x%7D%7Bdt%7D%20%5Ctimes%20%5Cfrac%7Bdx%7D%7Bdx%7D%5C%5Ca_x%3D%5Cfrac%7Bdv_x%7D%7Bdx%7D%20%5Ctimes%20%5Cfrac%7Bdx%7D%7Bdt%7D%5C%5Ca_x%3D%5Cfrac%7Bdv_x%7D%7Bdx%7D%20%5Ctimes%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%20%5B%5Cfrac%7Bdx%7D%7Bdt%7D%3Dv_x%5D%5C%5Ca_x%3D%5Cfrac%7Bdv_x%7D%7Bdx%7D%20%5Ctimes%20v_x%5C%5Ca_x%3Dv_x%5Cfrac%7Bdv_x%7D%7Bdx%7D)
Hence an alternative definition for the acceleration ax that can be written in terms of
and
is 