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1 year ago

Solve on [0,2pi). Answer in order from smallest to biggest cos x sin x = sin x

Mathematics

1 answer:

Musya8 [376]1 year ago

3 0

Answer:

0, π

Step-by-step explanation:

cos x sin x = sin x

cos x sin x - sin x = 0

sin x (cos x - 1) = 0

sin x = 0, x = 0, π

cos x - 1 = 0

cos x = 1, x = 0

So answers: 0, π

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How many bit strings of length 12 are palindromes and contain 10 as sub string

andre [41]

There are as many palindromic 12-bit binary strings as there are permutations with repetition of 6-bit binary strings, which is equal to $2^6=64$ .

There are also only two permutations with repetition of 6-bit binary strings, that when each of them is mirrored and the result is "glued" to the right side of the original string, will give a palindromic string without 10 as a substring.
Those strings are 000000 and 111111.

Therefore there are $64-2=62$ palindromic 12-bit binary strings with 10 as substring.

4 0

2 years ago

A right triangle has side lengths 12 centimeters and 14 centimeters. Name two possible side lengths for the third side, and expl

madam [21]

Answer:

If 12 and 14 are both side lengths then we solve for the hypotenuse:

hypotenuse^2 = 12^2 + 14^2

hypotenuse^2 = 144 + 196

hypotenuse^2 = 340

hypotenuse = sq root (340) = 18.4390889146

If hypotenuse = 14, then third side equals:

(3rd side)^2 = 14^2 - 12^2

(3rd side)^2 = 196 -144

(3rd side)^2 = 52

3rd side = sq root (52) = 7.2111025509

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Travis has 9 1/3 lb of dried beans he will pour an equal amount of beans into 5 sacks how many pounds of beans will be in each s

pentagon [3]

Answer:

Step-by-step explanation:

9 1/3 is the same as 28/3 i got that by multiplying 9(3)=27 after that add 1 which equals 28 so that would make 28/3 after this just divide (28/3)/5 (btw the ilttle dash means to divide looks like this ( / ) after that) it gives you 1.86666667 if you have a calculator just hit math enter enter

5 0

2 years ago

Given f (x) = 8 (3-x) , what is the value of f (-1)

nikdorinn [45]

Answer:

8(3-(-1)) = 32

Step-by-step explanation:

3 0

2 years ago

What is an equation of the line that passes through the point (-7, -6) and is parallel to the line x-y=7?

Alex_Xolod [135]

Answer:

Step-by-step explanation:

For two lines to be parallel their slopes must be equal. For two lines to be perpendicular their slopes must be the negative reciprocal of each other.

Step 1 Find the slope of the equation.

Put it into the slope-intercept form. y = mx + b.

For x-y = 7, move the x to the left; therefore subtract the x from both sides. this leaves you -y = -x + 7

Then, divide both sides by -1 to get a positive y. -y/-1 = (-x + 7)/-1

This leaves y = x - 7 The slope(m) for this equation is m = 1

The other equation must also have a slope of 1 or m=1 for the lines to be parallel.

Use the point given to you (-7, -6) and substitute for (x, y)

The slope-intercept form y = mx + b can once again be used.

x = -7, y =-6, and slope or m = 1

Therefore, y = mx + b substituted will be -6 = (1)(-7) + b; now, solve for b which is the y intercept

-6 = -7 + b add 7 to both sides -6 +7 = -7 + b +7 ; therefore, b = 1

Now you know the slope(m) which is equal to 1 and the y-intercept(b) which is equal to 1.

Finally, substitute the m and b in the slope-intercept form

y = (1)x + 1 or y = x +1

5 0

2 years ago