Answer:
2.40
Step-by-step explanation:
Answer:
My day is going good so far
Anyways, the answer is 7 21/25
Step-by-step explanation:
4 + 8/5 + 8/5 + 16/25 =
4 + 16/5 + 16/25 =
4 + 80/25 + 16/25 =
4 + 96/25 =
4 + 3 + 21/25 =
7 + 21/25 =
7 21/25
Step-by-step explanation:
In trapezoid ABCD, it is given that:
AE = BE & DF = CF
Hence, points E and F are the mid points of the sides AB and CD respectively.
We know that:
In a trapezoid length of the line segment joining the mid points of non parallel sides is equal to one half of the sum of lengths of the parallel sides.
![\therefore \: 4x = \frac{1}{2} \{(x + 5) + 44 \} \\ \\ \therefore \: 4x = \frac{1}{2} \{x + 5 + 44 \} \\ \\ \therefore \: 4x \times 2= \{x + 49\} \\ \\ \therefore \: 8x = x + 49 \\ \\ \therefore \: 8x - x = 49 \\ \\ \therefore \: 8x - x = 49 \\ \\ \therefore \:7x = 49 \\ \\ \therefore \:x = \frac{49}{7} \\ \\ \therefore \:x = 7\\ \\ \therefore \:4x = 4\times 7.. (\because EF = 4x)\\ \\ \: \: \: \: \: \huge \red{ \boxed{\therefore \:EF = 28}}](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%204x%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%7B%28x%20%2B%205%29%20%2B%2044%20%5C%7D%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%204x%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%7Bx%20%2B%205%20%2B%2044%20%5C%7D%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%204x%20%20%5Ctimes%202%3D%20%20%5C%7Bx%20%2B%2049%5C%7D%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%208x%20%3D%20%20x%20%2B%2049%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%208x%20%20-%20%20x%20%20%3D%20%2049%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%208x%20%20-%20%20x%20%20%3D%20%2049%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A7x%20%3D%2049%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3Ax%20%3D%20%20%5Cfrac%7B49%7D%7B7%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3Ax%20%3D%20%207%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A4x%20%3D%204%5Ctimes%207..%20%28%5Cbecause%20EF%20%3D%204x%29%5C%5C%20%20%5C%5C%20%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3AEF%20%3D%20%2028%7D%7D)
Answer:
The diameter was
in.
Step-by-step explanation:
The arc of a circle is given by
![s=r\theta](https://tex.z-dn.net/?f=s%3Dr%5Ctheta)
where
s = arc length
r = radius of the circle
θ = measure of the central angle in radians.
From the information given
s = 4 in
θ = 32º
To find the diameter of the original pizza, we use the formula of the diameter of a circle
![d=2r](https://tex.z-dn.net/?f=d%3D2r)
First, we need to convert the angle to radians
![\theta=32\º \cdot \frac{\pi}{180\º} =\frac{8\pi }{45}](https://tex.z-dn.net/?f=%5Ctheta%3D32%5C%C2%BA%20%5Ccdot%20%5Cfrac%7B%5Cpi%7D%7B180%5C%C2%BA%7D%20%3D%5Cfrac%7B8%5Cpi%20%7D%7B45%7D)
Next, solve for r from the arc formula
![r=\frac{s}{\theta} =\frac{4}{\frac{8\pi }{45}} =\frac{45}{2\pi }](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bs%7D%7B%5Ctheta%7D%20%3D%5Cfrac%7B4%7D%7B%5Cfrac%7B8%5Cpi%20%7D%7B45%7D%7D%20%3D%5Cfrac%7B45%7D%7B2%5Cpi%20%7D)
Then, we use the diameter of a circle formula
![d=2r=2(\frac{45}{2\pi })=\frac{45}{\pi }](https://tex.z-dn.net/?f=d%3D2r%3D2%28%5Cfrac%7B45%7D%7B2%5Cpi%20%7D%29%3D%5Cfrac%7B45%7D%7B%5Cpi%20%7D)