Answer:
10 cm.
Step-by-step explanation:
We'll begin by calculating the area of the small bubble. This can be obtained as follow:
Radius (r) = 5 cm
Area (A) =?
Since the bubble is circular in nature, we shall use the formula for area of circle to determine the area of the bubble. This is illustrated below:
A = πr²
A = π × 5²
A = 25π cm²
Next, we shall determine the total area of the small bubbles. This can be obtained as follow:
Area of 1 bubble = 25π cm²
Therefore,
Area of 4 bubbles = 4 × 25π cm²
Area of 4 bubbles = 100π cm²
Finally, we shall determine the radius of the large bubble. This can be obtained as follow:
Area of large bubble = total area of small bubbles = 100π cm²
Radius (r) =?
A = πr²
100π = πr²
100 = r²
Take the square root of both side
r = √100
r = 10 cm
Thus, the radius of the large bubble is 10 cm
Answer:
c) 6
Step-by-step explanation:
This is a straight-forward application of the Law of Cosines:
... a² = b² + c² -2bc·cos(A)
... a² = 8² +11² -2·8·11·cos(32.2°) ≈ 64 +121 -176·0.8462
... a² ≈ 36.07000
... a ≈ 6.00583
The best choice is c) 6.
Answer:
720 mL ; 1080 ml
Step-by-step explanation:
Givenn:
Apple syrup : water = 2 : 3
Fruit juice volume made using the ratio above = 1800 ml
Sum of ratio = 2 + 3 = 5
Litres of Apple syrup :
(Syrup ratio / total) * total volume of fruit
(2 / 5) * 1800
= 0.4 * 1800
= 720 ml
Litres of water :
(water ratio / total) * total volume of fruit
(3 / 5) * 1800
= 0.6 * 1800
= 1080 ml
Answer:
4/5
Step-by-step explanation:
5x are women
9x are full class
9x - 5x = 4x
4x are men
is the ratio of men to women in its simplest form
Hope this helps ^-^
Answer:
No
Step-by-step explanation:
Solutions to systems of equations are points at which the lines of the equations intersect. Knowing this, only equations representing the same line would have infinitely many solutions because they would intersect at every one of each other's points - they're the exact same line. Therefore, if they are not the same line, they would not intersect at each and every point, and would not have infinitely many solutions.