Answer:
Hey! I believe this is your answer:
4 glasses
Hope this helped!
Step-by-step explanation:
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
Answer:
50
Step-by-step explanation:
42/n³∑k²+12/n²∑k+30/n∑1
=42/n³[n(n+1)(2n+1)/6]+12/n²[n(n+1)/2]+30/n [n]
=7n(n+1)(2n+1)/n³+6n(n+1)/n²+30
=7(n+1)(2n+1)/n²+6(n+1)/n+30
=[7(2n²+3n+1)+6(n²+n)+30n²]/n²
=[14n²+21n+7+6n²+6n+30n²]/n²
=[50n²+27n+7]/n²
=[50+27/n+7/n²]
→50 as n→∞
because 1/n,1/n²→0 as n→∞
Answer:
15 < x < 31
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
23 - 8 < x < 23 + 8
15 < x < 31
Answer: Yes you will still get a true statement because 3 is the solution to the equation.
Step-by-step explanation:
Well substitute 3 for x into the equation and solve for to see if they equal each other.
12 = 5(3) - 3
12 = 15 - 3
12 = 12
So if you substitute 3 you get the solution .
Now solve for x in the real equation to see if you get 3.
4x + 12 = 9x -3
-4x -4x
12 = 5x -3
+3 +3
15 = 5x
x = 3
