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zzz [600]
3 years ago
15

ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. find ab

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Answer:

AB= 156

Step-by-step explanation:

96-30 =66

A=66

66+90 = 156

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What is the missing value of n that will make the equation true? 3^8 . 3^n= 3^14
marissa [1.9K]

Answer:

n = 6

Step-by-step explanation:

{3}^{8} . {3}^{n}  =  {3}^{14}  \\  {3}^{8 + n}  =  {3}^{14}   \\ 8 + n = 14 \\ n = 14 - 8 \\ n = 6

7 0
3 years ago
Consider the following proposed proof by contradiction that for all positive integers n, 3n > 2.
laila [671]

Answer:

The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.

Step-by-step explanation:

The proof is rigourous and well written, so we discard the second answer.

This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.

A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.

To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."

7 0
3 years ago
Jamie opened a savings account with $1000. Each month, she will add $35 to the account. Let y represent the amount of money in t
ra1l [238]

Answer:

The answer is c: y = 35x + 1000

Step-by-step explanation:

Jamie starts off with 1000 which means that no matter how much more money she adds to the account she still has to add the 100 she already has. Then she is adding $35 per month so it would be positive 35 so the correct equation is

35x +1000

8 0
2 years ago
A six-sided die is rolled three times. what is the probability that all three rolls will be 6?
PSYCHO15rus [73]

you have a 1/6 probability of rolling a 6

 so for 3 6's it would be

1/6 x 1/6 x 1/6 = 1/216

6 0
3 years ago
A magazine ad states that 4 out of 7 doctors recommend Flash toothpaste. if 1400 doctors were surveyed, how many doctors recomme
Paladinen [302]

Answer:

The number of doctors recommended flash toothpaste <u>800</u>.

Step-by-step explanation:

Given:

A magazine ad states that 4 out of 7 doctors recommend Flash toothpaste.

Now, to find the numbers of doctors recommended flash toothpaste if 1400 doctors were surveyed.

Let the number of doctors recommended be x.

And the total number of doctors surveyed were 1400.

So, as given 4 out of 7 doctors recommend flash toothpaste.

So, 4 equivalent to 7 = \frac{4}{7}.

And, x equivalent to 1400 =\frac{x}{1400}.

Thus, we set the proportion and solve by cross multiplication method:

\frac{4}{7} =\frac{x}{1400}

<em>By cross multiplying we get:</em>

5600=7x

<em>Dividing both sides by 7 we get:</em>

800=x

x=800.

Therefore, the number of doctors recommended flash toothpaste 800.

3 0
3 years ago
Read 2 more answers
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