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2 years ago

Write the following as a single sine or cosine function of an angle

Mathematics

2 answers:

mezya [45]2 years ago

8 0

Answer:

idk

Step-by-step explanation:

i wish i did

Vladimir [108]2 years ago

8 0

Answer:

The following as a single sine function of an angle:

$12 sin3\theta \cos3\theta cos 6\theta =3\times \sin12\theta$

Step-by-step explanation:

Given : $12 sin3\theta \cos3\theta cos 6\theta$

Using identity:

$Sin2x=2\times \sin x \cos x$

$=6\times 2\times sin3\theta \cos3\theta \cos 6\theta$

$=6\times (2\times sin3\theta \cos3\theta) \cos 6\theta$

$=6\times \sin 6\theta \cos 6\theta$

$=3\times (2\times \sin 6\theta \cos 6\theta)$

$=3\times \sin12\theta$

The following as a single sine function of an angle:

$12 sin3\theta \cos3\theta cos 6\theta =3\times \sin12\theta$

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Find ten rational numbers between -1 by 5 and 1 by 2

uysha [10]

Answer:

Step-by-step explanation:

First both the rational numbers should have same denominators. So, find least common denominator

Least common denominator is 10

$\frac{-1}{5}=\frac{-1*2}{5*2}=\frac{-2}{10}\\\\\\\frac{1}{2}=\frac{1*5}{2*5}=\frac{5}{10}\\\\\\$

Now multiply the numerator and denominators of the both the numbers by 10.

$\frac{-2*10}{10*10}= \frac{-20}{100} \ and \ \frac{5*10}{10*10}=\frac{50}{100}\\\\\\Now\ 10 \ rational \ numbers \ between\frac{-20}{10} \ and \ \frac{50}{100} \ is \\\\\\\frac{-19}{100},\frac{-18}{100},\frac{-17}{100},\frac{-16}{100}.\frac{-15}{100},\frac{-14}{100},\frac{-13}{100},\frac{-12}{100},\frac{-11}{100};\frac{-10}{100}$

8 0

2 years ago

A company is designing a new cylindrical water bottle. The volume of the bottle will be 211 cm^3. The height of the water bottle

Zinaida [17]

Answer:

The correct answer is 2.912 cm.

Step-by-step explanation:

A company is designing a new cylindrical water bottle.

Volume of a cylinder is given by π × $r^{2}$ × h, where h is the height of the cylinder and r is the radius of the cylinder.

The volume of each bottle will be 211 $cm^{3}$ .

The height (h) of the water bottle be 7.9 cm.

Let the radius of the bottle be r cm.

∴ π × $r^{2}$ × h = 211 ; (π = 3.15)

⇒ $r^{2}$ × 24.885 = 211

⇒ r = 2.912

The radius of the water bottle is 2.912 cm.

4 0

2 years ago

Determine the intercepts of the line. 7x-5=4y-67x−5=4y−67, x, minus, 5, equals, 4, y, minus, 6 xxx-intercept: \Big((left parenth

sesenic [268]

Given:

The equation of line is

$7x-5=4y-6$

To find:

The x and y-intercept of the given line.

Solution:

We have,

$7x-5=4y-6$

Putting x=0, we get

$7(0)-5=4y-6$

Add 6 on both sides.

$0-5+6=4y$

$1=4y$

Divide both sides by 4.

$\dfrac{1}{4}=y$

So, the y-intercept is $\left(0,\dfrac{1}{4}\right)$ .

Putting y=0 in given equation, we get

$7x-5=4(0)-6$

Add 5 on both sides.

$7x=-6+5$

$7x=-1$

Divide both sides by 7.

$x=\dfrac{-1}{7}$

So, the x-intercept is $\left(-\dfrac{1}{7},0\right)$ .

4 0

2 years ago

Read 2 more answers

Let y- 2t+ 5 be a linear function representing the distance from home for an ant tminutes after starting out from a location nea

blondinia [14]

The 5 represents the starting distance from home. In other words, when t = 0, the value of y is y = 5. Replacing t with 0 leads to this y value. This is the y intercept. So at time 0 minutes, the ant is 5 units from home. Replace "units" with whatever units you happen to be using.

8 0

2 years ago

One number is 8 more than the other. When the larger is divided by the smaller, the quotient is 7/5

Wewaii [24]

Answer:

<h3> The numbers are 20 and 28</h3>

Step-by-step explanation:

x - the other number (the smaller one)

x+8 - 8 more than the other number (the larger number)

$\dfrac{x+8}x=\dfrac75\\\\(x+8)\cdot5=x\cdot7\\\\5x+40=7x\\^{\quad-40\qquad-40}\\{}\quad5x = 7x-40\\^{\quad-7x\quad-7x}\\-2x=-40\\^{\div(-2)\quad\div(-2)}\\{}\ \ x=20\\\\x+8=28$

6 0

2 years ago