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3 years ago

"In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides."

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

It is provable about 180 ways, some of them quite elegant. There was a book published in the 1940s listing what they then knew. Others have been added since and it shows up in the oddest places which you can search out.

That is interesting but it does not answer your question.

A: Nothing is defined. This statement is a truth, but unproved. A is not the answer.

B: No term requires defining unless you don't know what a hypotenuse is, but that is a separate problem.

D: a postulate is a statement that is true that cannot be proven nor does it need to be. There aren't that many around in math. Euclid said "All right angles are congruent." True and not needing proof.

C: It is a theorem. This is a statement that may not be obvious and does require proof.

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How much interest does Ms. Paris earn on an $1800 loan for 6 months with a simple interest rate of 8.5%?

ddd [48]

Answer:

$1136.60

Step-by-step explanation:

The formula for exponential growth is f(x) = a(1 + r)^x where a is the initial value, r is the growth rate, and x is the number of time intervals.

We know that Mr. Paris starts with an $1800 initial value, so we can substitute that into the equation:

f(x)=1800(1 + r)^x

We also know the time intervals is 6 months. So that can be substituted as well:

f(x)=1800(1 + r)^6

They told you that the growth rate is 8.5%, which is 0.085 of 1.

f(x)=1800(1 + 0.085)^6

Add the 2 values in the parentheses and you get 1.085

f(x)=1800(1.085)^6

Now solve.

Order of operations requires you to raise 1.085 to the 6th power before multiplying by 1800. So then you have this:

1800(1.63146751) = 2936.64152. That rounds to 2936.60

So $2936.60 is the total amount of money in the bank account, but were looking for the interest earned, which is the difference between the end value and the initial value.

$2936.60 - $1800 = $1136.60

6 0

2 years ago

A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and

V125BC [204]

Answer:

5.5 gallons to 6.9 gallons

Step-by-step explanation:

Daily a cow

produces a mean of 6.2 gallons (average

of 6.2 gallons, meaning they already

found the mean, "averaged" it out for

you) with a deviation of 7 gallons ("give

or take" .7 gallons). On any given day

(throw these words out) 68% of the cows

(don't need this information to answer

the question either, thrown in to confuse

you) will produce an amount of milk

within which of the following ranges?

Just subtract the deviation ("give or

take number").7 gallons from the mean

(average (already determined)) 6.2

gallons which is 5.5 gallons THEN add

the deviation ("give or take number").

7 gallons to the mean (average (already

determined)) 6.2 gallons which is 6.9

gallons. Your answer is A 5.5 gallons to

6.9 gallons. You don't even have to go

crazy on the math on this question you

can rule them all out but A immediately

with subtracting .7 from 6.2.

hope it helps!

4 0

3 years ago

Read 2 more answers

Evaluat the expression 202-[2(3+7)+6]=<br>

valina [46]

You need to start calculating from the innermost bracket and if there are no signs to do any operation then you need to multiply

6 0

3 years ago

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-hal

inn [45]

Answer:

$y-2=3(x-3)$

Step-by-step explanation:

We want to write the equation of a line in point-slope form.

This is given by:

$y-y_1=m(x-x_1)$

We have that line passes through (3,2).

Assuming the line has a slope of m=3, then the equation in point slope form is:

$y-2=3(x-3).$

7 0

3 years ago

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What is the mean and median of 4,9,26,20,23,0,37??

yan [13]

Answer: Hello, The mean is is 17 and the median is 20

Step-by-step explanation: The mean is a type of average. It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list. To find the mean, add up all the values in the set. ... That is the mean. The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.

7 0

3 years ago

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