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3 years ago

Evaluate the square root of 24-x when x is 6

Mathematics

2 answers:

Romashka [77]3 years ago

5 0

Sever21 [200]3 years ago

5 0

The square root is 4.2426068712

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-2.105 as a fraction?

Bezzdna [24]

The easiest way is if it doesn't need to be simplified. Multiply -2.105 by $\frac{1000}{1000}$ . You get the fraction $-\frac{2105}{1000}$ . While this is technically the answer, you can simplify this down to $\frac{421}{200}$ . Because 421 is a prime number, this can not be simplified any further. Therefore, the solution is $\frac{421}{200}$ .

$\frac{421}{200}$ .

6 0

3 years ago

Find the missing sides using special right triangles

ANTONII [103]

Answer:

The answers are;

m = 9, e = 9

Step-by-step explanation:

The question relates to right triangles with special properties;

The given parameters of the given right triangles are;

The measure of an interior angle of the triangle = 45°

The length of the given leg length of the triangle = (9·√2)/2

The length of the other leg length of the triangle = n

The length of the hypotenuse side = m

A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal

Therefore;

The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2

∴ n = (9·√2)/2

n = (e·√f)/g

Therefore, by comparison, we have;

e = 9, f = 2, and g = 2

By Pythagoras's theorem, we have;

m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9

m = 9.

5 0

3 years ago

22. What is the average rate of change over the interval (-3, 2)? SEE EXAMPLES

ivann1987 [24]

The average rate of change over the interval (-3, 2) is 1

<h3>Average rate of change</h3>

The average rate of change of a function, graph, table or ordered pair is simply the slope of the relation

<h3>Interval</h3>

The interval is given as: (-3,2)

From the graph, we have:

f(-3) = -5
f(2) = 0

So, the average rate over these intervals is calculated as:

$m = \frac{f(b) - f(a)}{b -a}$

This gives

$m = \frac{f(-3) - f(2)}{-3 -2}$

Substitute known values

$m = \frac{-5- 0}{-3 -2}$

Simplify

$m = \frac{-5}{-5}\\\\$

$m =1$

Hence, the average rate of change is 1

Read more about average rate of change at:

brainly.com/question/8728504

4 0

2 years ago

8, 12, 16, ...<br> Find the 49th term

Ivanshal [37]

Answer:

200

Step-by-step explanation:

the above is an arithmetic progressions

number of terms of an AP = a+( n -1 )d

a= first term= 8

d= common difference= 12-8= 4

49th term:

= 8+(49-1)4

= 8+(48)4

= 8+192= 200

therefore, the 49th term is 200

5 0

2 years ago

Carmen simplifies the expression (4 y 8 x 6) 25 (4 x 6 y 7). The coefficient of the variable y in her simplified answer is 4. 6.

Sever21 [200]

Carmen simplifies the expression and gets the coefficient of y is 10. Thus, the correct option is C.

<h3>What is simplification?</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

Carmen simplifies the expression $\rm (4 y + 8 x + 6) + 25 + (4 x +6 y +7)$ .

We can add x term with x, y term with y, and constant with constant.

On simplifying, we have

$\rm (4 y + 8 x + 6) + 25 + (4 x +6 y +7)\\\\12x + 10y + 38$

Thus, the coefficeint of y is 10.

More about the simplification link is given below.

brainly.com/question/12616840

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2 years ago