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Butoxors [25]
3 years ago
13

a corner shelf is 1/4 of a circle and has a radius of 10.5 inches . Enter the area of the shelf in square inches . round your an

swer to the nearest hundredth .
Mathematics
1 answer:
schepotkina [342]3 years ago
5 0
First, find the area of the shelf if it were a full circle.
the formula for the area of a circle is a=pi(r squared)
a=pi (10.5 squared)
a=pi  x 110.25
a=3.14 x 110.25
a=346.185
now, you have to divide that area by 4 to get the area of the 1/4 circle
346.185/4=86.55
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3 years ago
The sides of △FGH are FG = 6 x+ 7, GH = 8x - 5, and FH = 10x - 11. If the perimeter of △FGH is 87, list the angles in order from
irga5000 [103]

Answer:

From largest to smallest: FG, FH, GH

Step-by-step explanation:

Given

FG = 6x + 7

GH = 8x - 5

FH = 10x - 11

Perimeter = 87

Required

Order the sides in descending order

First, we need to solve for x.

Perimeter of FGH is calculated as thus:

Perimeter = FG + GH + FH

Substitute values for FG, GH, FH and Perimeter

87 = 6x + 7 + 8x - 5 + 10x - 11

Collect Like Terms

87 - 7 + 5 + 11= 6x + 8x + 10x

96= 24x

Reorder

24x = 96

Divide through by 24

x = 96/24

x = 4

Substitute 4 for x in FG, GH and FH

FG = 6x + 7

FG = 6 * 4 + 7

FG = 24 + 7

FG =31

GH = 8x - 5

GH = 8 * 4 - 5

GH = 32 - 5

GH = 27

FH = 10x - 11

FH = 10*4 - 11

FH = 40 - 11

FH = 29

In order of arrangement in descending order, we have:

FG =31    FH = 29     GH = 27

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3 years ago
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8 0
3 years ago
Read 2 more answers
Will give brainiest answer if you show the steps.
Nostrana [21]

I wrote your answer on the paper...

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