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2 years ago

What is the difference between a theorem and an axion ?

Mathematics

2 answers:

Sliva [168]2 years ago

8 0

Answer:

An axiom is often a statement assumed to be true for the sake of expressing a logical sequence. ... These statements, which are derived from axioms, are called theorems. A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives.

hope it helps

PLEASE MARK BRAINLIEST

postnew [5]2 years ago

5 0

Answer:

A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives. ... An axiom is a statement that is assumed to be true without any proof, while a theory is subject to be proven before it is considered to be true or false.

[/tex] $\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1{cm}^{2}}$ [/tex]

$\\$

$\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1}{cm}^{2}}$

$\:$

$\sf{\red{\dfrac{\tan\theta}{\sec\theta - 1}=\dfrac{\tan\theta + \sec\theta + 1}{\tan\theta + \sec\theta - 1}\:cm^{2}}}$

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Laura goes to a bank and opens a new account. She deposits $5,500. The bank pays 1. 6% interest compounded annually on this acco

HACTEHA [7]

The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

$CI = P(1 +\dfrac{R}{100})^T - P$

The final amount becomes:

$A = CI + P\\A = P(1 +\dfrac{R}{100})^T$

For the considered case, we're given that:

Initial amount Laura deposited = $5,500 = P
Type of interest: Compound interest
Unit of time: Annually
Rate of interest = 1.6% annually = R
Total unit of time for which amount is to be calculated: 4 years = T

The final amount at the end of 4 years in the considered account of Laura is evaluated as:

$A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4 \approx 5860.53 \: \rm (in \: dollars)$

Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

Learn more about compound interest here:

brainly.com/question/11897800

5 0

2 years ago

Please Help With this Question ( The Question is EZ im just tired )<br> Will mark brainliest

dlinn [17]

Answer:

put the right point at 80,12 and put the point on the left at 0,0

Step-by-step explanation:

6 0

2 years ago

I need help lol. Find the lateral surface area of the figure to the nearest tenth.

Mekhanik [1.2K]

Answer:

101.9 sq ft

Step-by-step explanation:

The figure is missing: find it in attachment.

Here we want to find the lateral surface area of the figure, which is the sum of the areas of all faces.

We have in total 5 faces:

- 1 of them is rectangle with sizes (8.5 ft x 3.3 ft), so its area is

$A_1=8.5 \cdot 3.3 =28.1 ft^2$

- 1 of them is a rectangle with sizes (3.3 ft x 5.1 ft), so its area is

$A_2 = 3.3\cdot 5.1 =16.8 ft^2$

- 1 of them is a rectangle with sizes (6.8 ft x 3.3 ft), so its area is

$A_3 = 6.8\cdot 3.3 =22.4 ft^2$

- Finally, we have 2 triangular faces (top and bottom), so their area is

$A_T=\frac{1}{2}bh$

where

b = 5.1 ft is the base

h = 6.8 ft is the height (because the triangle is a right triangle)

So the area of the triangle is

$A_T=\frac{1}{2}(5.1)(6.8)=17.3 ft^2$

So the total lateral surface area of the figure is:

$A=A_1+A_2+A_3+2A_T=28.1+16.8+22.4+2(17.3)=101.9 ft^2$

5 0

3 years ago

A square has side length 3 units. What is the length of the diagonal?

ella [17]

9514 1404 393

Answer:

C. 3√2 units

Step-by-step explanation:

The diagonal of a square is √2 times the side length. For a square with side length 3, the diagonal is 3√2.

If you like, you can see this using the Pythagorean theorem.

d² = s² + s² . . . . . where d is the diagonal, and s is the side

d² = 2s²

d = √(2s²) = s√2

For s=3, ...

d = 3√2

4 0

2 years ago

AN ARTICLE STATED THAT “INTERNAL SURVEYS PAID FOR BY DIRECTORY ASSISTANCE PROVIDERS SHOW THAT EVEN THE MOST ACCURATE COMPANIES G

yan [13]

Using the binomial distribution, there is a 0.3474 = 34.74% probability of getting one wrong number.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

For this problem, the values of the parameters are given by:

p = 0.15, n = 10.

The probability of getting one wrong number is P(X = 1), hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

P(X = 1) = C(10,1) x (0.15)¹ x (0.85)^9 = 0.3474

0.3474 = 34.74% probability of getting one wrong number.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

8 0

2 years ago

What is the difference between a theorem and an axion ?​

What is the difference between a theorem and an axion ?