All categories

3 years ago

Which expression can be written as

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

5 0

Answer:

B. $\sqrt{108}$

Step-by-step explanation:

The simplified forms of these roots are :

A. $\sqrt{63}$ = $3 \sqrt{7}$

B. $\sqrt{108}$ = $6 \sqrt{3}$

C. $\sqrt{144}$ = $3 \sqrt{286}$

D. $\sqrt{150}$ = $5 \sqrt{6}$

Check:

$\sqrt{108}$

$\sqrt{36(3)}$

$\sqrt{ {6}^{2} \times 3}$

$6 \sqrt{3}$

<h3>Hope it is helpful...</h3>

You might be interested in

What is the difference when the product of 0.3 and 0.4 is subtracted from the sum of 0.3 and 0.4?

Rudik [331]

Answer:

0.58

Step-by-step explanation:

The first approach to solving the question above is to find the product of 0.3 and 0.4 thus:

$0.3 \times 0.4 = 0.12$

Next step is to find the sum of 0.3 and 0.4 thus:

$0.3 + 0.4 = 0.7$

The final step is to find the difference between the two results. Thus:

$0.7 - 0.12 = 0.58$

Therefore, the product of 0.3 and 0.4 subtracted from the sum of 0.3 and 0.4 is 0.58

7 0

3 years ago

Criminal investigators use biometric matching for fingerprint recognition, facial recognition, and iris recognition. When matchi

Art [367]

Answer:

It is not a Type I error neither a Type II error.

Step-by-step explanation:

Let $\mu$ be the true mean match score. The null hypothesis is $H_{0}: \mu = 80$ and the alternative hypothesis is $H_{1}: \mu > 80$ (upper-tail alternative). When the test shows that the mean match score is more than 80 when actually is equal to 80 a Type I error is made. On the other hand, when the test shows that the mean match score is equal to 80 when actually is more than 80 a type II error is made. Therefore, when the test shows that the mean match score is more than 80 when the person does not actually have a fingerprint match, does not correspond to a Type I error neither to a Type II error.

6 0

3 years ago

PLEASE HELP!!

PSYCHO15rus [73]

<u><em>Answer:</em></u>

The bird is approximately 9 ft high up in the tree

<u><em>Explanation:</em></u>

The required diagram is shown in the attached image

Note that the tree, the cat and the ground form a right-angled triangle

<u>Therefore, we can apply special trigonometric functions</u>

<u>These functions are as follows:</u>

$sin(\alpha)=\frac{opposite}{hypotenuse} \\ \\ cos(\alpha)=\frac{adjacent}{hypotenuse} \\ \\tan(\alpha)=\frac{opposite}{adjacent}$

<u>Now, taking a look at our diagram, we can note the following:</u>

α = 25°

The opposite side is the required height (x)

The adjacent side is the distance between the cat and the tree = 20 ft

Therefore, we can use the <u>tan function</u>

<u>This is done as follows:</u>

$tan(\alpha)=\frac{opposite}{adjacent}\\ \\ tan(25)=\frac{x}{20}\\ \\x=20tan(25) = 9. 32 ft$ which is 9 ft approximated to the nearest ft

Hope this helps :)

5 0

3 years ago

Can someone please help me

babymother [125]

Answer:

Its a i just took the test

Step-by-step explanation:

4 0

3 years ago

15) In your own words, write three or four sentences explaining what exponents are and how they are used in math

Scorpion4ik [409]

Answer:

Exponents

Step-by-step explanation:

exponents are basic short cut to write numbers like 100, 1000, 10000, 1000000 and so on.

Exponents can also be defined as 10 raised to a power x whether positive or negative

$10 {}^{x}$

They are mostly used in expressing units in standard form.

<h3>examples of basic positive exponents</h3>

${10}^{2} = 100$

$10 {}^{3} = 1000$

${10}^{4} = 10000$

${10}^{5} = 100000$

basically the power represent the the number of zeroes after the 1.

<h3>examples of basic negative exponents</h3>

${10}^{ - 2} = 0.01$

${10}^{ - 3} = 0.001$

${10}^{ - 4} = 0.0001$

$10 ^{ - 5} = 0.00001$

in negative exponents the power represents the number of zeroes before the 1. including the 0 behind the decimal point.

this is the basic lay down of how exponent work but one more quick example for maximum understanding

<h3>quick example</h3>

$4 \times {10}^{4} = 0.0004$

$4 \times {10}^{4} = 40000$

$8.69 \times 10 {}^{ - 3} = 0.00869$

$8.69 \times 10 {}^{ 3} = 8690$

hope you grasp the concept involved in multiplication with other terms.

cheers

6 0

3 years ago