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3 years ago

Write sin(2x) cos(6x) as a sum of trigonometric functions.

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

7 0

Use the identity

sin u cos v = 1/2(sin (u + v) + sin(u - v))
so its:-

1/2(sin(8x) + sin (-4x)) Answer

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If 3 times a certain number is increased by 4 the result is 28. What is the number?

k0ka [10]

x = number

the equation to use is: 3x+4=28

3x+4=28

3x=24

x-24/3 =8

x=8

8 0

4 years ago

A pound of turkey costs (3w 8) dollars and a pound of cheese costs (4w-3) dollars.mrs.young bought 2 pounds of turkey and three

zlopas [31]

$x = 2(3w + 8) + 3(4w - 3)$ , where x is the total cost in terms of w.

$x = (6w + 16) + (12w - 9)$

$x = 18w + 7$

3 0

3 years ago

Triangle ABC is similar to triangle QRS by the AA Similarity Postulate. Also, m∠A = 32° and m∠S = 102°. What is m∠B?

nignag [31]

The sum of interior angles of any polygon is:

s=180(n-2)

Since we are dealing with a triangle:

s=180(3-2)

s=180°

That is, the sum of angles of any triangle is 180°.

In this case we are given two angles with measures of 32° and 102° so

a+b+c=180

32+b+102=180 combine like terms on left

b+134=180 subtract 134 from both sides

b=46°

5 0

3 years ago

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ~p → ~q?

Bogdan [553]

It is equivalent to q -> p.

4 0

3 years ago

I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly

KATRIN_1 [288]

Answer:

The circumference of the yellow circle is $9\pi$ or $28.27cm^2$ approximately, the circumference of the blue circle is $6\pi$ or $18.85m^2$ approximately, the circumference of the green circle is $80\pi$ or $251.33mm^2$ approximately, the circumference of the red circle is $5\pi$ or $15.71cm^2$ approximately, and the circumference of the pink circle is $7\pi$ or $21.99cm^2$ approximately.

Step-by-step explanation:

To find the circumference of a circle, you need to multiply the diameter of the circle and multiply it by $\pi$ . In this case, the circumferences of the yellow circle are $9\pi$ or approximately $28.27cm^2$ , the circumference of the blue circle is $6\pi$ or approximately $18.85m^2$ , the circumference of the green circle is $80\pi$ or approximately $251.33mm^2$ , the circumference of the red circle is $5\pi$ or approximately $15.71cm^2$ , and the circumference of the pink circle is $7\pi$ or approximately $21.99cm^2$ .

8 0

3 years ago