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Ghella [55]
3 years ago
8

The area of the sector formed by the 110 degree central angle is 40 units squared what is the radius

Mathematics
1 answer:
IceJOKER [234]3 years ago
7 0
To get the radius we proceed as follows:
area=θ/360πr²
area=40 sq. units
θ=110°
thus the value of r will be:
40=110/360πr²
r²=40(110/360*π)
r²=41.66966
r=6.4552
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Math question down below
Kipish [7]
Answer: 6928

----------------------------------------------------------

Explanation: 

We have two areas we need to find: The area of the trapezoid and the area of the rectangle. Let's call these areas A1 and A2.

Area of Trapezoid = (height)*(base1+base2)/2
A1 = h*(b1+b2)/2
A1 = 80*(150+100)/2
A1 = 80*250/2
A1 = 20000
A1 = 10000

Area of Rectangle = (length)*(width)
A2 = L*W
A2 = 48*64
A2 = 3072

Subtract the two areas (A1-A2) to get the difference D
D = A1 - A2
D = 10000 - 3072
D = 6928

This difference D is exactly equal to the shaded area. 


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After special medicine is introduced into a peril dish full of bacteria, the number of bacteria remaining in the dish decreases
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6 0
3 years ago
The volume of a sphere is 1928π m3 . What is the surface area of the sphere to the nearest tenth?
Rufina [12.5K]
\bf \textit{volume of a sphere}\\\\
V=\cfrac{4}{3}\pi r^3\qquad \begin{cases}
r=radius\\
------\\
V=1928\pi 
\end{cases}\implies 1928\pi =\cfrac{4}{3}\pi r^3
\\\\\\
1928\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3\cdot 1928\pi }{4\pi }
=r^3\implies 1446=r^3
\\\\\\
\sqrt[3]{1446}=r\\\\
-------------------------------\\\\
\textit{surface area of a sphere}\\\\
S=4\pi r^2\qquad r=\sqrt[3]{1446}\implies S=4\cdot \pi \cdot \sqrt[3]{1446^2}
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