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2 years ago

Sra. Niccoli used 3/4 cups of sugar, 1/2cup of flour and 2 1/4

Mathematics

1 answer:

Musya8 [376]2 years ago

3 0

Answer:

3/4+1/4=4/4=1

1+ 1/2=1 1/2 cups

Step-by-step explanation:

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Find the area of a circle with a circumference of \blueD{31.4}31.4start color blueD, 31, point, 4, end color blueD units.

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Answer:

The area of the circle is $78.5\ units^{2}$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

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we have

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$31.4=2(3.14)r$

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After observing this pattern, Lexie made a conjecture for the next shape in the pattern. Five squares in a row. Each square has

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a square with a segment extending from the center to the top right vertex

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A rectangular cardboard sheet has a length that is 1.5 times greater than the width. Is it possible to make a topless box with a

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Answer:

Yes, it is possible to make a topless box with a volume of 6080 cm3 out of this cardboard sheet.

The dimensions of the cardboard sheet are 54 cm x 36 cm

Step-by-step explanation:

Let

x ----> the length of the cardboard sheet

y ----> the width of the cardboard sheet

we know that

$x=1.5y$ ----> equation A

The volume of the topless box is

$V=LWH$

where

$V=6,080\ cm^3$

$L=x-2(8)=(x-16)\ cm$

$W=y-2(8)=(y-16)\ cm$

$H=8\ cm$

substitute

$6,080=(x-16)(y-16)8$ ----> equation B

substitute equation A in equation B

$6,080=(1.5y-16)(y-16)8$

$6,080/8=(1.5y-16)(y-16)$

$760=1.5y^2-24y-16y+256$

$760=1.5y^2-40y+256$

$1.5y^2-40y+256-760=0$

$1.5y^2-40y-504=0$

Solve for y

Solve the quadratic equation by graphing

The solution is y=36 cm

see the attached figure

Find the value of x

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therefore

Yes, it is possible to make a topless box with a volume of 6080 cm3 out of this cardboard sheet.

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