Answer:

Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:

Our first point, A, is at (1, 1) and our second point, B, is at (-2, 8).
Let's let A(1, 1) be (x₁, y₁) and B(-2, 8) be (x₂, y₂). Substitute this into the distance formula:

Subtract:

Square:

Add:

This cannot be simplified.
So, the distance between the two points is √58 or about 7.6 units.
And we're done!
So... where's my cookie :)?
Total number of ice cream flavors = 4
(chocolate,vanilla,mint chip, coconut)
Number of toppings = 2
(hot fudge , caramel).
Different sundaes could Maggie create using one scoop of ice cream and one toppings = {(chocolate, hot fudge),(chocolate, caramel), (vanila, hot fudge),(vanilla,caramel), (mint chip, hot fudge), (mint chip,caramel), (coconut,hotfudge),(coconut,caramel) }= 8
The number of days is 10 if, in a poultry farm, 50 hens give 200 eggs in 2 days.
<h3>What is a fraction?</h3>
Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
On a poultry farm, 50 hens give 200 eggs in 2 days.
It is required to find the number of days will 20 hens require to give 400 eggs:
Let x be the number of days:
(50×2)/200 = (20x)/400
x = 10
Thus, the number of days is 10 if, in a poultry farm, 50 hens give 200 eggs in 2 days.
Learn more about the fraction here:
brainly.com/question/1301963
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Answer: The correct option is fourth, i.e., 1935 cm³.
Explanation:
It is given that the vase is 30 cm tall and the hexagon base has an area of 64.5 cm².
The area of a hexagon base is,

Where, a is the side length.
The volume of the a hexagon glass is,


Where, A is area of base of hexagon and h is height of the hexagon glass.


Therefore the volume of the glass is 1935 cm³ and the glass can hold 1935 cm³ water. So, fourth option is correct.