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3 years ago

A room is 12 CM long and 8 m broad. find the ratio of i) length to breadth II) breadth to length

Mathematics

1 answer:

Aleks [24]3 years ago

4 0

Answer:

i. Length : breadth = 3 : 200

ii. Breadth : length = 200 : 3

Step-by-step explanation:

Given the following data;

Length = 12cm

Breadth = 8m to centimeters = 8 * 100 = 800 centimeters.

To find the following;

a. Length to breadth ratio.

Length : breadth = 12 : 800

We would divide both sides by 4

Length : breadth = 3 : 200

b. Breadth to length.

Breadth : length = 800 : 12

We would divide both sides by 4

Breadth : length = 200 : 3

Note: In order to find a ratio, we must ensure that the units of the given parameters (quantities) are the same.

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4 1/8 take away 2 3/4

Rudiy27

Answer:

1.375

Step-by-step explanation:

6 0

3 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by

a_sh-v [17]

Answer:

Dimension of the box is $16.1\times 7.1\times 2.45$

The volume of the box is 280.05 in³.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the box?

Solution :

Let h be the height of the box which is the side length of a corner square.

According to question,

A sheet of cardboard 21 in. by 12 in. by cutting congruent squares from the corners and folding up the sides.

The length of the box is $L=21-2h$

The width of the box is $W=12-2h$

The volume of the box is $V=L\times W\times H$

$V=(21-2h)\times (12-2h)\times h$

$V=(21-2h)\times (12h-2h^2)$

$V=252h-42h^2-24h^2+4h^3$

$V=4h^3-66h^2+252h$

To maximize the volume we find derivative of volume and put it to zero.

$V'=12h^2-132h+252$

$0=12h^2-132h+252$

Solving by quadratic formula,

$h=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h=\frac{-(-132)\pm\sqrt{132^2-4(12)(252)}}{2(12)}$

$h=\frac{132\pm72.99}{24}$

$h=2.45,8.54$

Now, substitute the value of h in the volume,

$V=4h^3-66h^2+252h$

When, h=2.45

$V=4(2.45)^3-66(2.45)^2+252(2.45)$

$V\approx 280.05$

When, h=8.54

$V=4(8.54)^3-66(8.54)^2+252(8.54)$

$V\approx -170.06$

Rejecting the negative volume as it is not possible.

Therefore, The volume of the box is 280.05 in³.

The dimension of the box is

The height of the box is h=2.45

The length of the box is $L=21-2(2.45)=16.1$

The width of the box is $W=12-2(2.45)=7.1$

So, Dimension of the box is $16.1\times 7.1\times 2.45$

6 0

3 years ago

3. Given PQ = 7x - 3 and QR = 32 – 2x and PR = 59. What is the value of x? What is the value of PQ? What is the value of QR? Be

olga2289 [7]

Answer:

wag po kayo mag bibigay ng points na marami

Kasi ma iiscam po kayo

5 0

2 years ago

Read 2 more answers

At the fair 4 employees were paid $8.75 an hour to work at a funnel cake stand. They worked 8 hours at regular pay then for 5 ho

nordsb [41]

Answer:

$125.25

Step-by-step explanation:

8.75*h+11.25*e

h is hours regular pay and e is extra pay for overtime. Since its an extra $2.50 for overtime, add that to the regular pay. Put in the hours:

$8.75*8+11.25*5$

Simplify by multiplying 8.75 by 8

$70+11.25*5$

Simplify by multiplying 11.25 by 5

$70+56.25$

Add

$70+56.25=126.25$

Since it says how much did each earn, as in individually, leave it as it is (unless regular pay was $2.18 an hour, which would be a rip-off). I'm pretty sure including the number of employees was meant to throw you off.

7 0

4 years ago

Similar Triangles

NeTakaya

Answer:

5.3 ft

Step-by-step explanation:

Because CD corresponds to BC, the scale factor from triangle ABC to triangle CDE, is 7/8. Now, DE corresponds to AB, so to get DE, we must multiply the value of AB by 7/8. 6 times 7/8 is 5.25, and rounding to the nearest tenth of a foot, the value of DE is 5.3.

3 0

3 years ago

A room is 12 CM long and 8 m broad. find the ratio of i) length to breadth II) breadth to length​

A room is 12 CM long and 8 m broad. find the ratio of i) length to breadth II) breadth to length