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3 years ago

Show that in a quadrilateral ABCD, AB+BC+CD+DA<2(BD+AC)

Mathematics

1 answer:

Snezhnost [94]3 years ago

7 0

Step-by-step explanation:

We know that the length of the diagonals will be more than the side.

Lets suppose the quadrilateral is a rectangle, with sides 6 and 4.

The length of a diagonal is:

√(6*6)+(4*4)

√36+16

√52

7.21(rounded off to 3 sig. fig.)

So, 6+4+6+4<2(7.21+7.21)

20< 2*14.42

20<28.84, which is true.

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How do you solve equations and check for solutions

Kobotan [32]

It all depends on the math question but usually you solve for x, then check it. Plug x back in and see if it works. But it all depends on the math problem

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3 years ago

Read 2 more answers

A Boston subway train traveling at constant speed traveled 10.1 miles in half an hour. What was the speed of the subway train? m

viva [34]

Answer: 20.2 mph

Step-by-step explanation:

Given

Train travels 10.1 miles in half an hour i.e.

Distance $d=10.1\ \text{miles}$

time $t=0.5\ hr$

we know, $\text{distance=speed}\times\text{time}$

Insert the values

$\Rightarrow 10.1=v\times 0.5\\\Rightarrow v=20.2\ mph$

6 0

3 years ago

Felipe has a job transporting soft drinks by truck. his truck is filled with cans that weigh 14 ounces each and bottles that wei

Ray Of Light [21]

Hello,

Let x be the number of 14-ounce cans

800-x be the number of bottles

Total weight=14*x+70*(800-x)=14x+56000-70x=56000-56x=56(1000-x)

5 0

3 years ago

A 4.5 kg cat requires medication at a dose rate of 5 mg/kg once daily for the next 7 days. The tablets are available in 10 mg st

Marta_Voda [28]

Answer:

Approximately 16 tablets of medicine

Step-by-step explanation:

Based on the information above , we can use a Rule of Three to first figure out how many mg the cat would need to ingest per day.

$\frac{5mg}{1kg} = \frac{x}{4.5kg}$

$\frac{5mg*4.5kg}{1kg} = 22.5mg$

Now we see that the cat needs to take a daily dose of 22.5mg. Since the Tablets come at a strength of 10 mg per tablet then,

$22.5 / 10 = 2.25$

The cat would need to take 2.25 tablets per day. Since she needs to take the dose for the next 7 days then,

$2.25 * 7 = 15.75$

She would need to take approximately 16 tablets of medicine during the week .

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0

3 years ago

Three pairs of gloves- a red pair, a blue pair, and a green pair-are in a drawer. If the gloves are removed at random without re

balandron [24]

Answer:

Step-by-step explanation:

Given that three pairs of gloves- a red pair, a blue pair, and a green pair-are in a drawer. The gloves are removed at random without returning any to the drawer.

We have to find the minimum number that must be removed in order to guarantee having a matched pair of gloves

No of different colours = 3 (red, blue, green)

Hence no of gloves that must be removed = 3+1

If 4 gloves are removed, only 3 can be of different colours 1 will have same colour as any one of the three.

So a pair of same colour would be obtained

Answer is 4

8 0

3 years ago