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3 years ago

What is the right answer. Thank you!!!! :) there is a picture also!

Mathematics

1 answer:

Archy [21]3 years ago

4 0

To solve this problem, you must know that an inscribed angle equals 1/2 of the arc that it intercepts.

Therefore, because <ABC intercepts arc ADC, we know that

the measure of angle ABC = 1/2 * (measure of Arc ADC)

OR, when the values are substituted into the equation

165 = (1/2) (5)(x-3)

When simplified, this equation equals

330 = 5x - 15

345 = 5x

x = 69

Therefore, your answer is the second option, that x = 69 degrees.

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3 years ago

Find the area of the regular decagon if the apothem is 2.8ft and a side is 1.8ft

geniusboy [140]

DECA=10, decagon = 10 sides.

since each side is 1.8 long, all 10 sides will be 10*1.8 or 18 units long, so that'd be the perimeter then,

$\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{2}ap~~
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a=apothem\\
p=perimeter\\
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3 years ago

M(x)=−(x−5) 2 +25m, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 5, right parenthesis, squ

Aleksandr [31]

Answer:

Step-by-step explanation:

Given the function that represents the amount of mosquitoes as;

M(x) = -(x-5)² + 25

To get the maximum mosquitoes possible, we need to first find x;

At the maximum dM/dx = 0

dM//dx = -2(x-5)

0 = -2(x-5)

-2(x-5) = 0

-2x + 10 = 0

-2x = -10

x = 10/2

x = 5

Substitute x = 5 into the function;

M(5) = −(5−5)² +25

M(5) = 0+25

M(5) = 25

Hence the maximum number of mosquitoes is 25

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