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Firdavs [7]
3 years ago
5

Please help immediately

Mathematics
1 answer:
Softa [21]3 years ago
5 0
Let a = arc distance of the sector
let r = radius of the circle


a + 2r = 8
a = (8-2r)

Find the portion of the circle in the sector (arc/circumference)

a/2r •r

Replace a with ( 8-2r)

(8-2r/2•square root • r)

Simply

(8-r/square root •r)

( 4-r) / square root R


Find the area of the sector
(4-r)/square root •r • square root •r ^2

Cancel pi*r


A = (4-r) * r
A = -r^2 + 4r

Max of this quadratic equation occurs at the axis of symmetry; x=-b/(2a)


R=-4/2•(-1)

R= 2 cm

Find the max area

A = -2^2 + 8(2)
A = -4+ 16
A = 12 sq cm max area
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Plz help
crimeas [40]

Answer:

-20/33

Step-by-step explanation:

y2 - y1 / x2 - x1

1/6 - (-1/4) / -5/16 - 3/8

5/12 / -11/16

= -20/33

8 0
2 years ago
Christina had a total of $120 to spend while shopping. She already spent $68 on clothes . She wants to buy some video games that
avanturin [10]

Answer:

5 video games.

Step-by-step explanation:

In order to find the total number of video games that Tracy can buy with the money, she has we first need to find how much money she has left after buying the clothes. To do this we subtract the amount she spent on clothes by the initial total that Christina had.

120 - 68 = 52

Now that we know Christina has a remaining $52, we can divide this amount by the value of each individual game ($10) in order to calculate how many she can actually afford.

52 / 10 = 5.2

Finally, we can see that she can afford to only buy 5 video games.

4 0
2 years ago
Which addition sentences show you how to find 16-9?
Valentin [98]
This dosent make sense and where are the sentences ;-;
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3 years ago
What is the surface area of the box 12in ,4in and 3in
BabaBlast [244]
Which one is height, width, and length?
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The___ of an angle is the ratio of the opposite leg length to the hypotenuse length.
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The answer would be sine
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