Answer: 500 pieces of wheat
Explanation:
First: set up the proportion
Cookies:wheat = 8:2
Simplify = 4:1
We need to find how much wheat he needs for 2,000 cookies.
We need to assign a variable for wheat
Wheat = W
If Josh needs to make 2,000 cookies he would need W amount of wheat
Original proportion = 4:1
For 2,000 cookies = 2,000:W
To get from 4 to 2,000
2,000/4 = 500
So W/1 = 500
Isolate the variable:
w/1 (1) = 500/1
W = 500
Yo sup??
The x intercept can be found out by putting y=0 in the equation
2x=12
x=6
the x intercept is 6
similarly the y intercept can be found out by placing x=0
-3y=12
y=-4
the y intercept is -4
Hope this helps
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
:
![\dfrac{\sqrt{3}}{4} \times a^{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csqrt%7B3%7D%7D%7B4%7D%20%5Ctimes%20a%5E%7B2%7D)
Where <em>a </em>is the side of
.
Area of hexagon = ![6 \times \dfrac{\sqrt{3}}{4}\times a^{2}](https://tex.z-dn.net/?f=6%20%5Ctimes%20%5Cdfrac%7B%5Csqrt%7B3%7D%7D%7B4%7D%5Ctimes%20a%5E%7B2%7D)
We are given that area of hexagon = 169.74 ![ft^{2}](https://tex.z-dn.net/?f=ft%5E%7B2%7D)
Let <em>s </em>be the side of hexagon.
![\Rightarrow 6 \times \dfrac{\sqrt{3}}{4}s^{2} = 169.74 ft^{2}\\\Rightarrow s = 8.08 ft](https://tex.z-dn.net/?f=%5CRightarrow%206%20%5Ctimes%20%5Cdfrac%7B%5Csqrt%7B3%7D%7D%7B4%7Ds%5E%7B2%7D%20%3D%20169.74%20ft%5E%7B2%7D%5C%5C%5CRightarrow%20s%20%3D%208.08%20ft)
A regular Hexagon is made up of 6 equal sides, so
Perimeter of a regular hexagon = ![6 \times side](https://tex.z-dn.net/?f=6%20%5Ctimes%20side)
Perimeter = ![6 \times 8.08](https://tex.z-dn.net/?f=6%20%5Ctimes%208.08)
![\Rightarrow 48.5 ft](https://tex.z-dn.net/?f=%5CRightarrow%2048.5%20ft)
So, perimeter of given regular hexagon is
.
Answer:
∠1=66⁰
∠2=24⁰
∠3=24⁰
∠4=90⁰
Step-by-step explanation:
∠2=∠ADB=24 (ΔADB is isosceles, so ∠ADB=∠ABD)
∠4 =90 (right angle)
∠3=24 (BD bisects ∠ABC, so ∠2=∠3)
∠1+∠2+90=180 (angles in triangle add to 180)
∠1=66
Answer:
(6,9)
Step-by-step explanation:
3(2,3)
= (6,9)
Hope this helps plz hit the crown :D