Answer:
f(x) = 3x + 1
Step-by-step explanation:
f(x) = 3x + 1
f(1) = 3+1 = 4
f(2) = 3*2 + 1 = 7
f(3) = 3*3 + 1 = 10
f(4) = 3*4 + 1 = 13
it's a linear function with slope 3 and y intercept 1
Answer:
20 cups of punch
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If Elise adds 5 percent of each of the other ingredients
then
the new percentages are
Ginger Ale=40%+5%=45%
Orange Juice=25%+5%=30%
Pineapple Juice=20%+5%=25%
Sorbet=0%
Find out how many cups of punch will she have if she uses 6 cups of orange juice, using proportion
Let
x ----> the total cups of punch

Answer:
20
Step-by-step explanation:
To solve, I converted the fraction to decimals
1.5/(2.25-0.75) X 1.8 = 1.5/1.5 X 1.8 = 1.8
3.2 - 1.20 = 2
3(2/30 - 1/30) = 3(1/30) = 3/30 = 1/10 = 0.1
2(2/64 / 1/16) = 2(32/64) = 2 (1/2) = 1
1.8/0.1 + 2/1 = 18 + 2 = 20
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
.