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AlexFokin [52]
3 years ago
12

In rectangle ABCD, point L lies on diagonal

Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0

Answer:

  ab/(a+b)

Step-by-step explanation:

Without loss of generality, we can put point C at the origin and define line BD by the equation ...

  x/a +y/b = 1

Points (x, y) fall on the line BD, and we have point L where x=y. That value of x, the square's side length, will satisfy ...

  x/a +x/b = 1 . . . . . fill in x=y in the equation

  x(a+b)/ab = 1 . . . .factor out x, add 1/a+1/b

  x = ab/(a+b) . . . . solve for x

The length of the side of the square is ab/(a+b).

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What is the value of a cube if the length of one side is 9 inches
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729 in ^3

Step-by-step explanation:

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3 years ago
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A certain antihistamine is often prescribed for allergies. A typical dose for a 100​-pound person is 25 mg every six hours. Comp
koban [17]

Given that a certain antihistamine is often prescribed for allergies.

And typical dose for 100-pound person is 25 mg every 6 hours.

a) Let us calculate dose per 1 hour for 100-pound person= \frac{25}{6} mg/hr

Since 1 week means 7X24= 168 hours, dosage per 1 week = dosage per 168 hours

                                                                                 =168X\frac{25}{6} = 700mg

The number of 12.8 chew able tablets would be taken in a week= \frac{700}{12.8}=54.6875

Hence number of 12.8mg chew able tablets would be taken in a week is 55.

b) Now we can use earlier answer for this problem, since 12.8mg tablet is replaced with 9ml liquid, 55 bottles of 9ml liquid are to be taken in a week.

Hence amount of liquid histamine should a 100-pound person take in a week = 55X9

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3 0
3 years ago
I need help on 6 please! I’m pretty sure it’s 9, correct me if I’m wrong
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Step-by-step explanation:

3 ways to pick the meat,

4 ways to pick the eggs,

5 ways to pick the cereal.

For each of the 3 meats you can pick any of the 4 egg dishes, so 12 ways to pick a meat and an egg dish.

For each of those 12 you can pick any of the 5 cereals, so 60 ways to pick the meal.

6 0
4 years ago
Euclid’s root beer mug is shaped basically like a cylinder that is eight inches tall with a radius of three inches. Aristotle’s
olchik [2.2K]

The Euclid's mug holds the most root beer.

Step-by-step explanation:

Euclid's mug :

Height = 8 inches

Radius = 3 inches

Volume = π(r x r) h

= (3.14) (9) 8

= 226.08 cubic inches

Aristotle's mug:

Height = 18 inches

Diameter = 4 inches

Radius = 2 inches

Volume = (1/3) π(r x r) h

= (1/3) (3.14) (4) 18

= 37.68 cubic inches

The Euclid's mug holds the most root beer.

3 0
3 years ago
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