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3 years ago

Is 2352 a perfect square if not find the smallest multiple of 2352 which is a perfect square also find its root?

Mathematics

1 answer:

melamori03 [73]3 years ago

4 0

You can do this by finding the prime factors of 2352

2352 = 2 * 2* 2 * 2 * 3 * 7 * 7

We see that its not a perfect square because there is only one 3. If we multiply by another 3 we will have a perfect square.

2*2*2*2*3*3*7*7 = 7056 which is the smallest perfect square as required.

square root of 7056 = 2 *2 * 3 * 7 = 84 answer

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Read 2 more answers

How do you solve this: In ?PQR, PQ = 39 cm and PN is an altitude. Find PR if QN = 36 cm and RN = 8 cm.

ikadub [295]

Answer:

PR = 17 cm

Step-by-step explanation:

Given :

In ΔPQR,

PQ = 39 cm

PN is an altitude.

QN = 36 cm

RN = 8 cm.

To Find : Length of PR

Solution :

Since we are given that PN is an altitude .

So, PN divides ΔPQR in two right angled triangles named as ΔPQN and ΔPRN. (Refer attached file)

So, first we find Length of PN in ΔPQN using Pythagoras theorem i.e.

$(Hypotenuse)^{2}=(Perpendicular)^{2} +(Base)^{2}$

$(PQ)^{2}=(PN)^{2} +(QN)^{2}$

$(39)^{2}=(PN)^{2} +(36)^{2}$

$1521=(PN)^{2} +1296$

$1521 -1296=(PN)^{2}$

$225=(PN)^{2}$

$\sqrt{225} = PN$

$15 = PN$

Thus, Length of PN = 15cm

Now to find length of PR we will use Pythagoras theorem in ΔPRN.

$(PR)^{2}=(PN)^{2} +(NR)^{2}$

$(PR)^{2}=(15)^{2} +(8)^{2}$

$(PR)^{2}=225 +64$

$(PR)^{2}=289$

$PR= \sqrt{289}$

$PR= 17$

Hence the length of PR = 17 cm

3 0

3 years ago

Bruce saved $35.00 to buy a new video game. The game's original price was $42.00, but it was on sale or 30% off. The sales tax r

Tems11 [23]

Bruce does have enough money to buy the video game.

x/42 = 30/100

x=12.60 - This is the amount of money the video game is without tax

x/12.60 = 5/100

x=0.63 - sales tax amount

0.63+12.60=13.23 - amount of video game with tax

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3 years ago

I NEED HELP IMMEDIATELY ITS FIND AREA AND OF L SHAPE HELPP FOR BRAINIST THINGY AND 20 POINTS !!

san4es73 [151]

Answer:

Rectangle 1: 84 ft^2 Rectangle 2: 8 ft^2

Step-by-step explanation:

Split the figure into two rectangles

Rectangle 1:

Width of rectangle 1 can be found by subtracting 8 ft from 15 ft

15-8=7 ft (width)

length is already given as 12 ft

So,

A = L x W

A = 12ft x 7 ft

A = 84 ft^2

Length is already given of one of the rectangles

Rectangle 2:

Finding the width of Rectangle 2 can be found by subtracting 11 ft from 12 ft to find the length of that dashed line or the width of rectangle 2.

12 ft - 11 ft = 1ft (width)

Length: 8 ft

Width: 1ft

A=l x w

A=8 x 1

A=8 ft^2

3 0

3 years ago