Which equation represents the relationship between the angles shown below?

Step-by-step explanation:

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Using trigonometric identity sin²θ+cos²θ=1, the given identity is proved.

The given trigonometric identity is 1-2cos²x = 2sin²x-1.

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation. There are various distinct trigonometric identities involving the side length as well as the angle of a triangle.

Using trigonometric identity sin²θ+cos²θ=1

Here, 1-2cos²x = 2sin²x-1

⇒ 1+1=2sin²x+2cos²x

⇒ 2=2(sin²x+cos²x)

⇒ 2=2(1)

⇒ 2=2

LHS=RHS

Therefore, using trigonometric identity sin²θ+cos²θ=1, the given identity is proved.

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[tex]3x\sin y+2\cos y=\sin x[/tex]

[tex]\dfrac{\mathrm d(3x\sin y+2\cos y)}{\mathrm dx}=\dfrac{\mathrm d(\sin x)}{\mathrm dx}[/tex]

[tex]\dfrac{\mathrm d(3x)}{\mathrm dx}\sin y+3x\dfrac{\mathrm d(\sin y)}{\mathrm dx}+\dfrac{\mathrm d(2\cos y)}{\mathrm dx}=\cos x[/tex]

[tex]3\sin y+3x\cos y\dfrac{\mathrm dy}{\mathrm dx}-2\sin y\dfrac{\mathrm dy}{\mathrm dx}=\cos x[/tex]

Solve for dy/dx :

[tex]3\sin y+\left(3x\cos y-2\sin y\right)\dfrac{\mathrm dy}{\mathrm dx}=\cos x[/tex]

[tex]\left(3x\cos y-2\sin y\right)\dfrac{\mathrm dy}{\mathrm dx}=\cos x-3\sin y[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\boxed{\dfrac{\cos x-3\sin y}{3x\cos y-2\sin y}}[/tex]

Answer:

c=102°

b=(360-204)/2 = 78°

Answers:

b = 78

c = 102

=================================

Explanation:

Let's find angle b. This angle adds to the 102 to get 180 since the two angles form a straight angle.

102+b = 180

b = 180-102

b = 78

Then we can apply the same idea to find angle c

b+c = 180

78+c = 180

c = 180-78

c = 102

A shortcut to find angle c is to recall that vertical angles are congruent. The proof of the vertical angle theorem is effectively the steps shown above.

Step-by-step explanation:

Here is the correct answer...

I hope you understand...

Answer:

0,180

Step-by-step explanation:

[tex]8 \tan(x) = 0[/tex]

[tex] \tan(x) = 0[/tex]

[tex]x = 0 + 180n[/tex]

This means 0, 180 are the solutions.

Answer:

50 states bb bbdbeu28nefd

Answer:

C

Step-by-step explanation:

Translate up & left then reflect over y axis.

Answer:

C

Step-by-step explanation:

First you have to translate up and then left, then reflect over the y axis.

Answer:

122x12222 = 1491084

Answer:

It is a good app, when used the right way.

Step-by-step explanation:

Your question isn't properly described. 122x1,2222, is that 1.2222 or was it supposed to be 12,222?

Answer:

235.62 Cubic centimeters

Step-by-step explanation:

[tex]v = \frac{1}{3}\pi \: r {}^{2} h \: = \frac{1}{3} \times \pi \times 5 {}^{2} \times 9 \\ \\ = 75\pi = 235.62[/tex]

Answer:

235.62 Cubic centimeters

Step-by-step explanation:

have a nice day.

Answer:

B. Adjacent

Step-by-step explanation:

Supplementary angles add up to 180 degrees, so cross of A. Vertical angles are directly across from each other, so cross off C. Corresponding angles are related to lines and a transversal which you don't have, so you can cross of D, leaving the answer as B.

Hopefully this helps - let me know if you have any questions!

Answer:

Multiples of 4 are the following:

Step-by-step explanation:

2 is a factor of 4, not a multiple. The rest of the numbers listed are multiples of 2. But only the 3 listed above are multiples of 4.

Answer:

4,36,48

Step-by-step explanation:

The multiples of 4 is: 36,48,and 4 because there all in the multiplication chart.
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Answer:

y = 1/2x

Step-by-step explanation:

Points are (8,4)

x = 8

x = 8y = 4

y= −2/1x

4= -2(8)

4= -16

That's wrong

y= −1/2x

4= -1/2(8)

4= -4

That's wrong

y=1/2x

4=1/2(8)

4=4

That's right

y=2/1x

4=2(8)

4=16

That's wrong

So the answer is choice C

The area of the equilateral triangular pyramid is the amount of space on it

The total surface area is 107 square feet

The given parameters are:

Base (b) = 6 feet

Slant height (l) = 10 feet

The lateral surface area is calculated using:

L = 1.5bl

So, we have:

L = 1.5 * 6 * 10

Evaluate the product

L = 90

The total surface area is calculated using:

T = L + 0.25√3b^2

So, we have:

T = 90 + 0.25√3 * 6^2

Evaluate

T = 107

Hence, the total surface area is 107 square feet

Read more about areas at:

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Answer:

107 sq ft

Step-by-step explanation:

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Answer:

3 [tex]\frac{2}{5}[/tex]

Answer:

3 and 2/5 i believe

please say if im wrong or right

Step-by-step explanation:

Answer:

48 - 40 = $8, there is a $8 dollar increase.

Formula for change of percentage;

changed price

___________ x 100% (100/100)

original amount

Replace those values with the values we found;

40/48 x 100/100 = 20% increase.

Answer:

[tex]x=27[/tex]

[tex]y=-6[/tex]

Step-by-step explanation:

substitute in values

[tex]x=21-y[/tex]

[tex](21-y)+3y=9[/tex]

[tex]21+2y=9[/tex]

[tex]2y=-12[/tex]

[tex]y=-6[/tex]

[tex]x+(-6)=21[/tex]

[tex]x=27[/tex]

Answer:

4:3

Step-by-step explanation:

24:18

Divide each side by 6

24/6 : 18/6

4:3

Answer:

452.16 in. or 144π if the answer needs to be in terms of pi.

Step-by-step explanation:

In this case, all of the information is given to you. You can determine this is a cylinder because of its circular bases. Your height is given on the side as 9in. Your radius is given on the base as 4in. You can tell that this value is the radius and not the diameter because the line only covers half of the circular base. If the line went from one edge to the other, you would need to divide the given value by 2. From there, you can just plug the numbers into the proper equation.

V = πr²h​

V = π(4)²(9)

V = 452.16 or 144π

Answer:

1, 1/2, 3/2

Step-by-step explanation:

This is a prism (a 3d rectangle) and so your formula for finding the volume is V= L x W x H.

For the prism:

L= 1 (4 cubes x 1/4 = 4)

W = 1/2 (2 cubes x 1/4 = 1/2)

H = 3/2 (6 cubes x 1/4 = 6/4 = 3/2)

That's your answer, the tile 1, 1/2, 3/2

Answer:

$3.43

Step-by-step explanation:

Multiply 7 by 0.49

Answer:

The answer is -46,8

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Answer:

x=1

Step-by-step explanation:

This can be simplified to -4x+1=x-4

add 4 to both sides

-4x+5=x

Flip it so it is easier to work with

x=-4x+5

add 4x to both sides

5x=5

Divide by 5

x=1

Answer:

H+ = 0.001

Step-by-step explanation:

3 = -log[H+]

Identity to use: [tex]-log_{b}(a) = log_{b}(1/a)[/tex]

3 = log[ 1 / H+ ]

Identity to use: [tex]10^{log(x)} = x[/tex]

Therefore, I am going raise each side of the equation to the power of 10 to isolate [ 1 / H+ ]

10³ = [tex]10^{log(\frac{1}{H+} )}[/tex]

1000 = 1 / H+

H+ = 1 / 1000

Answer: H+ = 0.001

396 cm²

Volume of rectangular prism - -

Formula's :

Here base area:

Length * Width

4 * 9

36 cm²

Volume:

Base area * Height

36 * 11

396 cm²

Answer:

181.82 km/h

Step-by-step explanation:

1 mile = 1.609 km

so 113 miles/hour = 113 * 1.609 = 181.82 km/h

No, because the confidence interval do not overlap we do not have enough evidence to say that the parameters are different.

The confidence interval will help to determine if there is enough evidence in the statistical data draw conclusion that Vicente has the lead.

The confidence interval is 48% - 3% to 48% + 3%, which is equivalent to 45% to 51%.

Since 52% does not lie in the above interval, therefore we can say no, because the confidence interval do not overlap we do not have enough evidence to say that the parameters are different.

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Answer:

Step-by-step explanation:

NO

Answer:

I think it is -12

Multiply -0.75 (3 quarters) by 16.

The negative cancels out the positive number.

Since the exponent is not saying multiply the number by itself a number of times, we could make a hypothesis that this is just multiplication.

Normally, this ↑ is not the case, but here, I could make an exception.

I hope this helps you, let me know if you need something else.

Answer:

3/8 of the total distance.

Step-by-step explanation:

After Saturday = 8/8 - 3/8 = 5/8 of distance left.

Sunday = 5/8 x 3/5 = 3/8 distance.

Hope this helps!

Answer: 52

Step-by-step explanation:

Answer:

The input is a contradiction: it has no solutions