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3 years ago

The product of odd numbers is always even true or false ?

Mathematics

2 answers:

mars1129 [50]3 years ago

8 0

Answer:

false

Step-by-step explanation:

If we can show a counter example, then it would be false

3*5 ( both are odd numbers)

15 ( that is odd)

So it is not a true statement

likoan [24]3 years ago

6 0

Answer:

false

Step-by-step explanation:

let's say we have two odd numbers

2k+1 and 2t+1

$(2k+1)(2t+1)\\\\=4kt+2k+2t+1\\\\=2(2kt+k+t)+1$

so we see it's odd

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If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

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3 years ago

Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 77 and a standard deviation

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Are all of those questions I think it’s C

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If the typical balance on Lucy's credit card is $650 and the interest rate (APR) on her credit card is 18%, how much in interest

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General Idea:

$Amount \; Charged \; in \; a \; Month \; = \; Monthly \; Interest \; Rate \; \times Typical \; Creditcard\; Balance\\ \\$

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Conclusion:

Amount of interest that Lucy to be charged in a typical month is <u>$9.75</u>

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