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3 years ago

Write the expression as the sine, cosine, or tangent of an angle.

Mathematics

2 answers:

elena55 [62]3 years ago

5 0

Answer:

$\sin (8x)=\sin (9x) \cos (x) - \cos (9x)\sin (x)$

Step-by-step explanation:

Given : Expression $\sin (9x) \cos (x) - \cos (9x)\sin (x)$

To write : The given expression as the sine, cosine, or tangent of an angle?

Solution :

The given expression is in the form $\sin A\cos B-\cos A \sin B$

Using trigonometric identity,

$\sin (A-B)=\sin A\cos B-\cos A \sin B$

Substituting, A=9x , B=x

$\sin (9x-x)=\sin (9x) \cos (x) - \cos (9x)\sin (x)$

$\sin (8x)=\sin (9x) \cos (x) - \cos (9x)\sin (x)$

Therefore, The given expression is in the sin form sin(8x).

Georgia [21]3 years ago

3 0

Answer:

sin 8x

Step-by-step explanation:

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PLEASE HELP ME I DON T UNDERSTAND IF YOU PLEASE COULD HELP ME I WOULD GREATLY APPRECIATE IT REALLY THANK YOU

butalik [34]

Find the length of one side.

V = s^3

s = cube root of V

V = 729

s = cube root 729

s = 9

Put this into your calculator as 729^0.333333333

It should bring back 9 or 8.999999 something which means 9.

Net

The net is shown below. You will have to do the labeling. But I can tell you what you should label each face as?

Area of one face = s^2

s = 9

Area of one face = 9*9

Area of one face = 81

So when you draw this, each face should be labeled with 81.

It should have it's units (ft^2) if your marker is picky.

Part C

There are 6 sides.

1 side has an area of 81 ft^2

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5 0

3 years ago

Drag each tile to the correct box. Order the expressions from least value to greatest value.

STatiana [176]

Answer:

-2 19/20, 2 3/5. 3.125, 10.35

Step-by-step explanation:

Let's solve each expression:

Solve:

-4.5 x -2.3

Multiply:

-4.5 x -2.3

10.35

Therefore, the simplified expression is 10.35

Solve:

5/-1.6

Divide:

5/-1.6

3.125

Therefore, the simplified expression is 3.125

Solve:

5 6/15 + (-2 4/5)

First, make the denominators of 4/5 equal to 15:

4/5 = ?/15

Multiply both the numerator and denominator by 3:

4 x 3 = 12

5 x 3 = 15

The new fraction is 12/15.

Add:

5 6/15 + (-2 12/15)

2 9/15

Simplify:

2 9/15 = 2 3/5

(divide the numerator and denominator by 3)

Therefore, the simplified expression is 2 and three-fifths.

Solve:

-3 3/10 - (-7/20)

First, make the denominators of 3/10 equal to 20:

3/10 = ?/20

Multiply both the numerator and denominator by 2:

3 x 2 = 6

10 x 3 = 20

The new fraction is 6/20.

Subtract:

-3 6/20 - (-7/20)

-2 19/20

Therefore, the simplified expression is negative 2 and nineteen-twentieths.

Order from least to greatest:

-2 19/20, 2 3/5. 3.125, 10.35

3 0

3 years ago

Graph the equation Y=- 1/4x-3

Eduardwww [97]

Answer: Choice #2

Step-by-step explanation: The slope of -1/4 means that the line is ascending to the left, which rules out the first and last choice. The y-intercept of -3 means that it crosses the y-axis at (0,-3). This is why it is #2.

Brainliest please?

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3 years ago

1. Simplify. 5–1(3–2)

konstantin123 [22]

Answer with explanation:

Using following law of indices

$1.x^a \times x^b=x^{a+b}\\\\2. (x^m)^n=x^{mn}\\\\ 3. x^{-n}=\frac{1}{x^n}\\\\4. \frac{x^m}{x^n}=x^{m-n}$

$1.5^{-1}\times 3^{-2}=\frac{1}{5}\times\frac{1}{3^2}\\\\=\frac{1}{5\times9}\\\\=\frac{1}{45}\\\\2. \frac{mn^{-4}}{p^0*q^{-2}}=\frac{mq^2}{n^4}\\\\ 3.0.0042=4.2\times 10^3\\\\4.6.12 \times 10^3=6.12 \times 1000=6120\\\\ 5.0.5 \times(8\times10^5})=\frac{1}{2}\times8 \times 10^5=4\times 10^5\\\\6. (9 \times 10^3)^2=9^2 \times (10^3)^2=81 \times 10^6\\\\7.( \frac{1}{2}a^{-4}\times b^2 )_{a=-2,b=4}{\text{or}}( \frac{1}{2}a^{4}\times b^{-2} )_{a=-2,b=4}=\frac{1}{2}\times (-2)^{-4}\times(4)^2{\text{or}}=\frac{1}{2}\times (-2)^{4}\times(4)^{-2}=\frac{16}{2\times16}=\frac{1}{2}$

$9. (4\times x\times y^2)^3\times (xy)^5=4^3\times x^3\times (y^2)^3\times x^5 \times y^5\\\\=64\times x^{3+5}\times y^{5+6}\\\\=64x^8y^{11}\\\\10.(2\times t^3)^3(0.4\times r)^2=2^3 \times (t^3)^3\times (0.4)^2 \times r^2=8\times t^9 \times 0.16 \times r^2=1.28r^2t^9$