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4 years ago

Complete the following statement: the square root of 7 is

Mathematics

1 answer:

JulijaS [17]4 years ago

8 0

Answer:

a real number, but not rational

Step-by-step explanation:

The square root of all prime numbers are irrational.

We want to determine whether $\sqrt{7}$ is rational or irrational and if it is a real number.

Since 7 is a prime number $\sqrt{7}$ is an irrational number.

Both rational and irrational numbers are real numbers.

Therefore $\sqrt{7}$ is a real number but not rational number

The second choice is correct

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How do you express sin x + cos x in terms of sine only?

frez [133]

Answer:

$\sin x + \sqrt{1-\sin^2x}$

Step-by-step explanation:

Given: sin x + cos x

To change the given trigonometry expression in term of sine only.

Trigonometry identity:-

$\sin^2x+\cos^2x=1$
$\cos x=\sqrt{1-\sin^2x}$

Expression: $\sin x+\cos x$

We get rid of cos x from expression and write as sine form.

Expression: $\sin x + \sqrt{1-\sin^2x}$ $\because \cos x=\sqrt{1-\sin^2x}$

Hence, The final expression is only sine function.

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4 years ago

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Inessa05 [86]

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3 years ago

A ray of light with intensity lo falls vertically on the sur face of the sea and at ten meters deep its intensity is 10/3. Assum

seropon [69]

Answer:

intensity = $\frac{Io}{15}$

intensity = $\frac{Io}{30}$

depth = 333.33 m

Step-by-step explanation:

given data

deep = 10 m

intensity = Io

intensity = Io/3

to find out

intensity of light at 50 m and 100 m and 1/100 of initial intensity remain ?

solution

we know here that intensity is inversely proportional to deep so

intensity = k × $\frac{1}{Deep}$ .................1

here k is constant

so we have given 10 m deep so

$\frac{Io}{3}$ = $\frac{k}{10}$

so k = Io × $\frac{10}{3}$ ................2

so from equation 1 when 100 m deep and 50 m deep

intensity = k × $\frac{1}{Deep}$

intensity = Io × $\frac{10}{3}$ × $\frac{1}{50}$

intensity = $\frac{Io}{15}$

and

intensity = Io × $\frac{10}{3}$ × $\frac{1}{100}$

intensity = $\frac{Io}{30}$

and

at intensity Io/100

intensity = k × $\frac{1}{Deep}$

$\frac{Io}{100}$ = Io × $\frac{10}{3}$ × $\frac{1}{D}$

D = 333.33 m

so depth = 333.33 m

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3 years ago

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yarga [219]

(A)+(B)=(2)+(3)=5

therefore (A)+(B)=5

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4 years ago