Answer:
2.meters 
Step-by-step explanation:
Lenght of ladder = 4 m
θ = 30°
To obtain h;
Using Pythagoras rule :
Sinθ = opposite / hypotenus
Hypotenus = 4 ; opposite = h
Sin 30 = h / 4
0.5 = h / 4
h = 0.5 * 4
h = 2 m
Hence, distance between th efoot of ladder and the base of the wall is 2 m
 
        
             
        
        
        
Call the region in the 

-

 plane, bounded by 

 and 

, 

. Then the volume under the given surface is
 
 
        
        
        
The best prediction for the number of customers is 5450.
To find this value, you just need to plug in 20 for x into the expression. Then, evaluate it using the order of operations.
8(20)^2 + 100(20) + 250
8(400) + 100(20) + 250
3200 + 2000 + 250
5450
        
             
        
        
        
Answer:

Step-by-step explanation:
The equation for a circle is  , where
, where  is the vertex of the circle and
 is the vertex of the circle and  is the radius. Immediately, since the center of the circle is given, we know what
 is the radius. Immediately, since the center of the circle is given, we know what  and
 and  are.
 are.  is 230 and
 is 230 and  is 220.
 is 220. 
The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that  , where
, where  is the change in the x-coordinates of the two points and
 is the change in the x-coordinates of the two points and  is the change in the y-coordinates of the two points. Plug-in
 is the change in the y-coordinates of the two points. Plug-in  for 60 and
 for 60 and  for 50 to get
 for 50 to get  . Solve for
. Solve for  , arriving at
, arriving at  . Therefore, the radius of the circle is
. Therefore, the radius of the circle is  .
.
Finally, we have all of the components to create the equation of the circle. Plug-in 230 for  , 220 for
, 220 for  , and
, and  for
 for  .
.
The equation of the circle will be  .
. 
Hope this helps :)
 
        
             
        
        
        
Answer:
30 pounds is 13.6078 kilograms.
13 x 16 = 208.
Mary's dog should be given 208 mg of medicine.