Answer:
x= 6.5 cm
Step-by-step explanation:
When a tangent line touches the circle, it forms a right angle triangle at that point
Apply the Pythagorean relationship in this case
Given that the height is = 20.2 cm = b
The hypotenuse is = c= x+14.7 cm
General formulae is;
a² +b² =c²
x² + 20.2² =( x+ 14.7)²
x² + 408.04= x² +14.7x+14.7x+216.09
x² + 408.04= x² + 29.4 x +216.09.........................collect like terms
x²-x² + 408.04-216.09= 29.4x
191.95= 29.4x-------------------------------divide by 29.4 t0 get x
191.95/29.4 =x
x=6.5 cm
For this case we are asked the following question:
"What is the volume of the rubick's cube whose edge measures 3 cm"
By definition, the volume of a cube is given by:
Where:
l: Is the side or the edge of the cube
According to the statement we have:
Substituting:
Finally, the volume of the cube is 
Answer:
Answer:
k = 33
Step-by-step explanation:
7 + k/3 = 18
=>7 + k/3 -7 = 18 - 7
=>k/3 = 11
=>(k/3) * 3 = 11 * 3
=>k = 33
Answer:
It is growth and the percentage rate of increase is 7.5%
Step-by-step explanation:
The exponential equation is as follows;
y = 550(1.075)^x
Now, I can identify that the exponential equation is that of growth.
This is because what is in the bracket i.e can be represented as 1+ 0.075
The 0.075 represents the margin of increase as we move on from one value to another
The percentage rate can be gotten by expressing 0.075 as a percentage
That would be expressing is as a fraction
This is just 7.5/100 which means what we have is 7.5%
