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3 years ago

Calculate the value of the indicated angle.

Mathematics

1 answer:

allsm [11]3 years ago

8 0

Answer:

56°

Step-by-step explanation:

Using the sine ratio in the right triangle, that is

sin ? = $\frac{opposite}{hypotenuse}$ = $\frac{10}{12}$ , then

? = $sin^{-1}$ ( $\frac{10}{12}$ ) ≈ 56° ( to the nearest degree )

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A square in the board below and a letter in the word ATTENTION is chosen at

kolezko [41]

Answer:

4 /15

Step-by-step explanation:

From the number cube :

Count of Numbers greater than 4 = 16

Sample space of number cube = 20

P(number greater than 4) = 16 / 20 = 4/5

Word : ATTENTION

Count of letters in attention = 9

Count of T's in attention = 3

P(choosing T) = 3 / 9 = 1/3

P(greater than 4, then T) = 4/5 * 1/3 = 4 /15

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2 years ago

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galben [10]

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2 years ago

Which equation describes how the parent function y=x^3, is vertically streched by a factor of 4

Murljashka [212]

Answer:

$y=4x^{3}$

Step-by-step explanation:

It is known that,

<em>'Vertical stretch, stretches the function up and down towards the y-axis'.</em>

The general form of vertical stretch is given by 'kf(x)', where k>1 is the factor by which function is stretched.

As, we have the function $y=x^{3}$ which is stretched by a factor of 4.

Thus, the new function will be $y=4x^{3}$ .

Hence, the equation for the vertical stretch is $y=4x^{3}$ .

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3 years ago

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frutty [35]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Solve for x when <img src="https://tex.z-dn.net/?f=x%5E%7Byz%7D%20%3Dy%5E%7B2%7D" id="TexFormula1" title="x^{yz} =y^{2}" alt="x^

Assoli18 [71]

The value of x in x^yz = y^2 is $x = \sqrt[yz]{y^2}$

<h3>How to solve for x?</h3>

The equation is given as:

x^yz = y^2

Rewrite the equation properly as follows

$x^{yz} = y^2$

Take the yz root of both sides

$\sqrt[yz]{x^{yz}} = \sqrt[yz]{y^2}$

Apply the law of indices

$x^{\frac{yz}{yz}} = \sqrt[yz]{y^2}$

Divide yz by yz

$x = \sqrt[yz]{y^2}$

Hence, the value of x in x^yz = y^2 is $x = \sqrt[yz]{y^2}$