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3 years ago

Would a teaspoon be a good way to measure the capacity of a milk carton? Explain

Mathematics

2 answers:

Savatey [412]3 years ago

8 0

Yup, because it's totally efficient to scoop out teaspoon by teaspoon of milk.

NOT

Gala2k [10]3 years ago

3 0

Many containers and cartons of volume are measured in milliliters; a teaspoon is traditionally 5mL, so as a unit to measure capacity: yes, they are good.
However, in a 2 liter bottle (common size) there are 2000/5 = 400 teaspoons. While this is easy enough to write on the label - indeed, soft drink cans are often 355 ml, so there is no real difference bar that of unit - it is extremely difficult to measure out 400 teaspoons accurately. As a way to fill that capacity (i.e. "measure it out"): no, they are terrible. Hope this Helps! :D

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HELPPPP JUST 2 QUESTIONS BASED ON PYTHAGOREAN THEOREM AND IM CONFUSED HELPPPP

Anna007 [38]

9514 1404 393

Answer:

3. no; does not have the correct ratio to other sides

4. (1; right), (2; obtuse), (3; right)

Step-by-step explanation:

3. There are a couple of ways you can go at this.

a) the ratio of sides of a 30°-60°-90° right triangle (half an equilateral triangle) is 1 : √3 : 2. Here, the ratio of sides is ...

(√30/2) : √15 : √30 = 1 : √2 : 2 . . . . MQ is not the height

b) the height is perpendicular to the base, so if MQ were the height, the sides of the triangle would satisfy the Pythagorean theorem:

LQ² +MQ² = LM²

(√30/2)² +(√15)² = (√30)²

30/4 +15 = 30

22.5 = 30 . . . . NOT TRUE

The length MQ cannot be the height of ∆LMN. (It is too short.)

4. To see if these lengths form a right triangle, you can test them in the Pythagorean theorem relation. In the attached we have reformulated the equation so it gives a value of 0 if the triangle is a right triangle:

c² = a² +b² . . . . . Pythagorean theorem

c² -a² -b² = 0 . . . . rewritten

If the value of c² -a² -b² is not zero, then the side lengths do not form a right triangle. The attached shows this math performed by a graphing calculator. The results are ...

right triangle
not a right triangle — long side is too long, so the triangle is obtuse
right triangle

_____

Additional comment

The attached table demonstrates an artifact of computer arithmetic. Not all numbers can be represented exactly in a computer, so a difference that is expected to be zero using exact arithmetic may be slightly different from zero when computed by a computer or calculator. Here, we see a difference of about 6×10^-14 when zero is expected. On most calculators (with 10, or 12 displayed digits), this would be displayed as 0.

The same calculation done "by hand" gives ...

(√425)² -5² -20² = 425 -25 -400 = 0 . . . Triangle 1 is a right triangle

4 0

3 years ago

For the right triangle find the missing length Round your answer the nearest teren

Talja [164]

Answer:

hello! i can answer in the comments if you tell me what the lengs are and where they are located! i cannot see the picture due to my school computer blocking images on the site so that's why i need the explanation. thanks :>

5 0

3 years ago

What is 2.75 rounded to the nearest hundredth

almond37 [142]

Well first off we need to know how to round or what rounding is. Rounding is the approximation of numbers usually decimals to a approximate cut off number for numbers that are too long or hard to work with/remember. To round a number you simply need to look at the number behind that number whether its a whole number (integer) or a decimal, either one will work. Now continuing on (on) how to round the number, look at the number after it and if it is 5 or above the number rounds up +1 and all numbers behind that turn to 0. For example 3.25500 round to the nearest hundredth, 3.26(000). Now if the number is 4 or smaller then you don't do anything at all (no rounding) and all the numbers after the being rounded number turn to 0's like so, 3.254(0000) rounded to the nearest hundredth, 3.25(00000). So now that we know how to round and what rounding is we need to look at are hundredth place on are number here and see what the next number is after that, in this case it is 0 because there is no stated number there the default next number is 0 like so,
2.750 and because 0 is under 5 we don't do any rounding at all here and just leave it as it is. So 2.75 rounded to the nearest hundredth is 2.75

Enjoy!=)

4 0

3 years ago

A package of 10 batteries is checked to determine if there are any dead batteries. Four batteries are checked. If one or more ar

frutty [35]

Answer:

There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.

Step-by-step explanation:

With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:

n=4 (the amount of batteries picked for the sample).
p=3/10=0.3 (the proportion of dead batteries).
k≥1 (the amount of dead batteries in the sample needed to not sell the package).

The probability of having k dead batteries in the sample is:

$P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}$

Then, the probability of having one or more dead batteries in the sample (k≥1) is:

$P(x\geq1)=1-P(x=0)\\\\\\P(x=0) = \dbinom{4}{0} p^{0}q^{4}=1*1*0.7^4=0.2401\\\\\\P(x\geq1)=1-0.2401=0.7599\approx0.76$

8 0

3 years ago

Which best describes the incenter of a triangle?

zhannawk [14.2K]

The correct answer of the given question above about the incenter of a triangle is option B. The statement that best describes the incenter of a triangle is that, it is the point where the three angle bisectors of the triangle intersect. In geometry, an incenter of a triangle is described as the triangle center.

7 0

3 years ago

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