Answer:

Step-by-step explanation:
From the question we are told that:
Number of boys
Number of girls 
Total Number of students


Generally the equation for Probability of Choosing a Girl is mathematically given by



Answer:
Perimeter of given regular hexagon is <em>48.5 ft</em>.
Step-by-step explanation:
Let <em>ABCDEF</em> be the regular hexagon as shown in the attached figure.
<em>O</em> be the intersection point of the diagonals <em>EB</em>, <em>FC </em>and <em>AD</em>.
As per the property of regular hexagon, all the 6 triangles formed are equilateral triangles.
In other words,
are equilateral
.
Area of an equilateral
is defined as
:

Where <em>a </em>is the side of
.
Area of hexagon = 
We are given that area of hexagon = 169.74 
Let <em>s </em>be the side of hexagon.

A regular Hexagon is made up of 6 equal sides, so
Perimeter of a regular hexagon = 
Perimeter = 

So, perimeter of given regular hexagon is
.
Answer:
9 and just 3 times 3 is 9.
Answer:
D
Step-by-step explanation:
We require to calculate the volume (V) of the cone and sphere.
The volume of a cone is calculated as
V =
πr²h ( r is the radius and h the height )
Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus
V =
π × 2.5² × 8 ≈ 52.36 cm³
The volume of a sphere is calculated as
V =
πr³ ( r is the radius )
Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus
V=
π × 2.5³ ≈ 65.45 cm³
Since volume of the sphere is greater than the volume of the cone
Thus when the ice cream melts it will overflow → D
Answer:
-3 and -4
Step-by-step explanation:
x = 1st number
y = 2nd number
set up system of equations:
2x + 3y = -18
3x + 2y = -17
elimination method: multiply 1st equation by -2 and second by 3
-4x - 6y = 36
+
<u> 9x + 6y = -51</u>
5x = -15
x = -3
find y: 2(-3) + 3y = -18
-6 + 3y = -18
3y = -12
y = -4