Answer:
r=2/3
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The highlighted one is correct 
B F(x) = 2 - x²
Step-by-step explanation:
 
        
             
        
        
        
Answer: Approximately 79 Percent
Step-by-step explanation:
The confidence level used in this estimation is approximately 79 percent.
 
        
             
        
        
        
Answer:
The possible solutions are 58 degree, 122 degrees, 302 degrees and 238 degrees
Step-by-step explanation:
Please see the attachment
From the figure, it is evident that 
cos AOB = OB/OA = 53/100 = 0.53
Thus, cos-1 (0.53) = 58 degrees
AOB = 58 degree
Also, there are can be other values depending on the quadrants
COB = 180 -58 = 122 degrees
FOB = 360 -58 = 302 degrees
EOB = 180 + 58 = 238 degrees
 
        
             
        
        
        
Answer:
The new volume is 14,850cm³
Step-by-step explanation:
Given
Volume of a rectangular prism = 550cm
Required
Value of volume when the dimensions are tripled.
The volume of a rectangular prism is calculated using the following formula.
V = lbh
<em>When Volume = 550, the formula is written as follows</em>
550 = lbh
<em>Rearrange</em>
lbh = 550
However, when each dimension is tripled.
This means that, 
new length = 3 * old length
new breadth = 3 * old breadth
new height = 3 * old height
<em>Let L, B and H represent the new length, new breadth and new height respectively</em>
In other words,
L = 3l
B = 3b
H = 3h
Calculating new volume
New volume = LBH
Substitute, 3l for L, 3b for B and 3h for H;
V = 3l * 3b * 3h
V = 3 * l * 3 * b * 3 * h
V = 3 * 3 * 3 * l*b*h
V = 27 * lbh
Recall that lbh = 550
So, 
V = 27 * 550
V = 14,850
Hence, the new volume is 14,850cm³