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2 years ago

Find the smallest number by which432 must be multiplied so that their products are a perfect sqaure

Mathematics

1 answer:

snow_tiger [21]2 years ago

5 0

Answer:

i hope this help you

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A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

Crank

Answer:

$A=81(\pi-1)\ in^2$

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ---> the radius is half the diameter

substitute

$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

where

b is the length side of the square

we have

$D=18\ in$

substitute

$18^2=2b^2$

solve for b^2

$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

$A=(81\pi-81)\ in^2$

simplify

$A=81(\pi-1)\ in^2$

8 0

2 years ago

If y varies inversely to x and y=9 when x=-6 find x when y=3

Minchanka [31]

Answer: y =21

Step-by-step explanati

8 0

2 years ago

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In a film, a character is criticized for marrying a woman when he is three times her age. He wittily replies, "Ah, but in 25ye

Sonbull [250]

Answer:age of the man: 75 age of the woman:25

Step-by-step explanation:

First, We need to define the variables

x: age of the man

y: age of the woman

at the first time he has three times her age

x=3y (1)

in 25 years time

(x+25)=2(y+25) (2)

we clear the equation

X+25=2y+50

X=2y+25

we substitute in the (1) equation:

2y+25=3y

y=25

x=3*25=75

5 0

3 years ago

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Which regular polygon, when rotated 180 degrees about its center, may not be carried onto itself ?

prohojiy [21]

The polygon that when rotated at 180 degrees about it's center may not be carried onto itself is a quadrilateral. The reason being quadrilateral is not regular in the sense that different sides have different measures.

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2 years ago

Please Help !!!!!!!!!!!!!!

TEA [102]

Answer:

Step-by-step explanation:

643-166=477

477÷18=26.5

Then, round to the nearest whole.

Which makes it 27 sets.

7 0

2 years ago

Find the smallest number by which432 must be multiplied so that their products are a perfect sqaure​

Find the smallest number by which432 must be multiplied so that their products are a perfect sqaure