Which sequences are geometric? check all that apply.

Mathematics

1 answer:

iVinArrow [24]2 years ago

4 0

It’s probably most definitely the third one but I really don’t know.

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A man walks 10 miles in x hours. How far does he walk in one hour?

Andreas93 [3]

Answer:

Option (c) is correct.

The distance covered by the man in 1 hour is represented by te expression $\frac{10}{x}$ miles.

Step-by-step explanation:

Given: A man walks 10 miles in x hours.

We have to choose a correct expression that represents the distance covered by the man in 1 hour.

Consider the given statement."A man walks 10 miles in x hours."

Using UNITARY METHOD,

(is a method in which we first find the value of a single unit and then multiply it with desired quantity)

Distance covered by man in x hours = 10 miles,

So distance covered by man in 1 hour = $\frac{10}{x}$ miles.

So, The distance covered by the man in 1 hour is represented by te expression $\frac{10}{x}$ miles.

5 0

3 years ago

If sin theta= - 5/7, which of the following are possible?

Sphinxa [80]

Answer:

$\large\boxed{\sec\theta=\dfrac{7}{\sqrt{24}},\ and\ \tan\theta=-\dfrac{5}{\sqrt{24}}}\\\boxed{\cos\theta=\dfrac{\sqrt{24}}{7},\ and\ \tan\theta=\dfrac{5}{\sqrt{24}}}$

Step-by-step explanation:

$\text{Use:}\\\\\sin^2\theta+\cos^2\theta=1\to\cos\theta=\pm\sqrt{1-\sin^2\theta}\\\\\tan\theta=\dfrac{\sin\theta}{\cos\theta}\\\\\sec\theta=\dfrac{1}{\cos\theta}\\\\==========================\\\\\sin\theta=-\dfrac{5}{7}\\\\\cos\theta=\pm\sqrt{1-\left(-\frac{5}{7}\right)^2}=\pm\sqrt{1-\frac{25}{49}}=\pm\sqrt{\frac{24}{49}}=\pm\dfrac{\sqrt{24}}{\sqrt{49}}=\pm\dfrac{\sqrt{24}}{7}\\\\\sec\theta=\pm\dfrac{1}{\frac{\sqrt{24}}{7}}=\pm\dfrac{7}{\sqrt{24}}$

$\tan\theta=\pm\dfrac{-\frac{5}{7}}{\frac{\sqrt{24}}{7}}=\mp\dfrac{5}{7\!\!\!\!\diagup_1}\cdot\dfrac{7\!\!\!\!\diagup^1}{\sqrt{24}}=\mp\dfrac{5}{\sqrt{24}}$