3 years ago

A convex hexagon has interior angles that measure 100°, 127°, 90°, 182°, and 85°. What is the measure of the 6th interior angle?

Mathematics

1 answer:

murzikaleks [220]3 years ago

7 0

The measure of the 6th interior is B. 88

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A storage box has a volume of 56 cubic inches, and the base of the box is 4 inches by 4 inches.

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The height of the box is 3.5in or 3 1/2in

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3 years ago

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Set up and evaluate the optimization problem. You are constructing a cardboard box from a piece of cardboard with the dimensions

ankoles [38]

Answer:

$Shorter\ side=4-2\times 0.845=2.31\ m\\Longest\ side=8-2\times 0.845=6.31\ m\\Height=0.845\ m$

Step-by-step explanation:

Given that , dimension of the cardboard is 4 m by 8 m.

Lets the dimensions of the square is x m by x m.

The volume after cutting the equal size of square from all the four corners is given as

$V=x\times (4-2x)\times (8-2x)\\V=x\times (32-16x-8x+4x^2)\\V=x\times (4x^2-24x+32)\\V=4x^3-24x^2+32x\\$

For the maximum volume

$\dfrac{dV}{dx}=12x^2-48x+32=0\\3x^2-12x+8=0\\$

For maximum value of volume , the value of x will be 0.845

x= 0.845

Therefore the dimensions will be

$Shorter\ side=4-2\times 0.845=2.31\ m\\Longest\ side=8-2\times 0.845=6.31\ m\\Height=0.845\ m$

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3 years ago

Find the measure of CD.

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It’s most likely 16, the third selection.

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Susan begins counting backward from 1298 by 4's, saying one number every 5 seconds. At the same time, Jim begins counting forwar

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Answer:

Step-by-step explanation:

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2 years ago

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One ticket is selected at random from 100 tickets numbered 00,01,02,03.......99. Suppose x is the sum of digits and y is the pro

attashe74 [19]

Answer:

N ( s ) = 100

Y = { 01 , 02 ,03 ,04 ,05 , 06 ,07 , 08 , 09 , 10 , 20 ,30 , 40 ,50 , 60 ,70 ,80 , 90 }

n ( y ) = 18

P ( y ) = n ( y ) / n ( S )

= 18 /100

= 9 /50

x = { 09 , 18 , 27 , 36 , 45 , 54 , 63 , 72 , 81 , 90 }

n ( x ) = 10

P ( x ) = n ( x ) / n ( s )

= 10 / 100

= 1 / 10

so probability of event x is 1/10 and event y is 9/50

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3 years ago