3 years ago

1 1/6 as an improper fraction

Mathematics

1 answer:

Cloud [144]3 years ago

5 0

Answer:

The mixed number 1 1/6 converted into an improper fraction is 7/6.

Step-by-step explanation:

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A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?

Maurinko [17]

Answer:

$\frac{7\pi}{4}$ .

Step-by-step explanation:

Given information:

Radius of circle = 8 cm

Area of sector = $56\pi\text{ cm}^2$

Formula for area of sector is

$A=\dfrac{1}{2}\theta r^2$

where, r is radius and $\theta$ is central angle in radian.

Substitute $A=56\pi$ and r=8 in the above formula.

$56\pi=\dfrac{1}{2}\theta (8)^2$

$56\pi=\dfrac{64}{2}\theta$

$56\pi=32\theta$

$\dfrac{56\pi}{32}=\theta$

$\dfrac{7\pi}{4}=\theta$

Therefore, the measure of the sector in radians is $\frac{7\pi}{4}$ .

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Sally painted a picture that has an area of 480 square inches. The length of the painting is 1 1/5 as long as it is wide. What a

marishachu [46]

So Length * Width = 480 in. sq.
L=1 1/5 or 1.2W
substitute the L for 1.2W
1.2W*W=480 in sq
divide both sides by 1.2
w*w= 400
W²=400
square root of both sides
Width = 20 inches
Length= (1.2width) or (20*1.2)
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balu736 [363]

Answer:

yes,no, no, yes

Step-by-step explanation:

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Two years of local Internet service cost $685, including the installation fee of $85. What is the monthly fee?

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Answer:

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Step-by-step explanation:

Divide.

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