Find the area of the shaded region. Round to the nearest hundredth

Answer:

x=5

Step-by-step explanation:

5-3=2

Given:

[tex]\sin x=-\dfrac{15}{17}[/tex]

x lies in the III quadrant.

To find:

The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

[tex]\sin^2 x+\cos^2 x=1[/tex]

[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]

[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]

[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]

x lies in the III quadrant. So,

[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]

[tex]\cos x=-\dfrac{8}{17}[/tex]

Now,

[tex]\sin 2x=2\sin x\cos x[/tex]

[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]

[tex]\sin 2x=-\dfrac{240}{289}[/tex]

And,

[tex]\cos 2x=1-2\sin^2x[/tex]

[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]

[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]

[tex]\cos 2x=\dfrac{289-450}{289}[/tex]

[tex]\cos 2x=-\dfrac{161}{289}[/tex]

We know that,

[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]

[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]

[tex]\tan 2x=\dfrac{240}{161}[/tex]

Therefore, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].

Answer:

Part A: y = 3x

Part B: The relationship of y to x is y is 3 times as much as x.

Part C: (0,0), (1,3), (2,6), (3,9), (4,12)

Step-by-step explanation:

Part A: The product of x and 3 (3 times x) is (equals) y. So we can write this linear equation as y = 3x.

Part B: The linear equation is a representation of the relationship between y and x. Y is equivalent to three times x.

Part C: To create solutions to the linear equation, simply plug in a value of x to output a y.

x = 0 -> y = 3(0) = 0; (0,0)

x = 1 -> y = 3(1) = 3; (1,3)

x = 2 -> y = 3(2) = 6; (2,6)

x = 3 -> y = 3(3) = 9; (3,9)

x = 4 -> y = 3(4) = 12; (4, 12)

Cheers.

Answer:

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Step-by-step explanation:

So don't waste your time on brainly finding answers, you can run out of points fast, some people wont answer at all.

The function has a vertical asymptote at a certain x-value, then the function is undefined at that value.

We have given that,

A function has a vertical asymptote at a certain x-value, then the function------ is at that value.

We have to determine the value and fill in the blank.

A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.

Therefore option D is correct.

Therefore the function has a vertical asymptote at a certain x-value, then the function is undefined at that value.

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Answer:

D. undefined

Step-by-step explanation:

Answer:

Angle A: 90

Angle B: 48

Angle C: 42

Side length A (Hypotinuse): 23.9

SIde length B (Opposite): 17.8

Side length C (Adjacent): 16

Step-by-step explanation:

https://www.calculator.net/triangle-calculator.html?vc=42&vx=&vy=&va=90&vz=16&vb=&angleunits=d&x=0&y=0

Answer:

180- 20

Step-by-step explanation:

A straight line is 180 therefore the piece that is cut off has to be subtracted from 180. 20 is the cut off piece. 180-20= 160

Answer:

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

Step-by-step explanation:

There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.

[tex](a-b)^7[/tex]

[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]

Now simplify, multiply two terms together,

[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]

Repeat this process,

[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]

Repeat this process one final time,

[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]

Answer: 5

Step-by-step explanation:

Answer:

1. x=12

2. x=7

Step-by-step explanation:

Answer:

The probability is 4/16 = 1/4

Step-by-step explanation:

To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin. There are only 4 outcomes which have three heads....hope this helped

Answer:

1. y=2

2. y= - 2

Step-by-step explanation:

Thats my answer hope it helps

Answer:

the solution is : (2 , 3)

Step-by-step explanation:

hello :  here is an solution

3x + 2y=12.....(*)

y=2x -1​.....(**)

put the value for y  in (*) :

3x + 2(2x-1)=12

3x+4x-2 = 12

7x =14

so : x =2

but : y=2x -1

y =2(2)-1 = 3

the solution is : (2 , 3)

Answer:

Step-by-step explanation:

Incomplete question, but if my guess is correct, you're trying to determine which is a better deal between the two. I will go with the second one. The $650/month rent.

I choose so because, $800/month totals to $9600 at the end of the year. While $650/month totals to $7800 per year. Again, with the $650/month, if you try to leave before the end of the year, say 11 months even, you pay a penalty of $1300, which still leaves you on the profit side. And the whole idea of choosing is to find which is more beneficial and cost effective.

Answer: 15

Step-by-step explanation:

The answer is because if you divide 14,130 by 3.14. You'll get 4500 and then divide that by 300 and your finally is 15

The radius of the inflated beach ball is equal to 58 inches.

Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.

Given: The volume of the sphere is 14,310 inches³

we know the volume of the sphere is  4/3 πr³

Thus equating we get

4/3 × 3.14×r³=14310

r³=3417.99

r³=3418

r=58.463 or 58 (approx)

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A=b h................

Answer:

A = 20

Step-by-step explanation:

A = bh

b = 4

h = 5

4 × 5 = 20

Answer:

they try to hack you and steal information that others should not know!! always report them.

Step-by-step explanation:

Answer:

D. a109=-1,953

Answer:

56

Step-by-step explanation:

x=5

so x for the gym is 5 and x+3=5+3=8

add 5 and 8 because that is a whole side.

we are trying to find perimeter which us the outside of the shape. you are just going to "walk the fence" . so now, we have two sides of 15 and two sides of 13 (5+8). 13+13=26. 15+15=30

add the 26 and 30

Answer:

The answer is D

Step-by-step explanation:

Since the input is -6, you input it into the equation. That would make it f(-6)=-(-6)-1 which would be equivalent to f(-6)=6-1 , as the negatives at the beginning of the equation cancel each other out and make it positive. Then you solve and get 5, which is your output. Hope I could help :)

Answer:1

Step-by-step explanation:

4x-4x+4=4h(x)

4=4h(x)

h(x)=1

h(-3)h(-3)=(1)(1)=1

Answer:

72 marbles are yellow

Step-by-step explanation:

Answer:

she is correct

Step-by-step explanation:

along with color she also has the type

like type:leather= color brown ,black ,blue

cloth= tan and gray

multiplication

type =2

leathers color =3

cloth color = 2

= 12

Answer:

Yes.

Step-by-step explanation:

If you change nothing but the angle and positioning of the original shape, then it is congruent.

Answer:

1. if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = 6/2= 3. Thus, the equation describing this direct variation is y = 3x.

2. Partial Variation, where two variables are related by a formula, such as the formula for a straight line (with a non-zero y-intercept)

example :

in the milk factory Carol makes $10 per hour but gets an extra $20 from another job. since Carol gets a $20 allowance regardless of how much she works, if we want to represent Carol's situation in the form of an equation, it would be

Y=10x + 20

therefore if she worked zero hours

(Y=10(0) + 20),

she would still make $20 unconditionally and for every hour she works, she gets $10 more including the initial $20.

thus Carol's equation would be a partial variation, since her income doesn't entirely depend on how much she works.

3. a relation is non linear because it is has a direct relationship between an independent variable and a dependent variable.

In a relation, changes in the output do not change in direct proportion to changes in any of the inputs.

relations does not create a straight line but instead creates a curve.

Answer:

The equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Step-by-step explanation:

The statement is incomplete, the most probable outcome may be the equation of the ellipse based on information given.

The equation of an ellipse whose major axis is vertical and is centered at a point different from origin is defined by:

[tex]\frac{(x-h)^{2}}{b^{2}} + \frac{(y-h)^{2}}{a^{2}} = 1[/tex] (1)

Where:

[tex](h,k)[/tex] - Coordinates of the center of the ellipse.

[tex](x,y)[/tex] - Coordinates of a point in the line of the ellipse.

[tex]a[/tex] - Length of the major semiaxis.

[tex]b[/tex] - Length of the minor semiaxis.

The coordinates of the center of the ellipse is midpoint of the segment between vertices, which are collinear with foci:

[tex](h,k) = \frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2}(x,y)[/tex] (1)

Where [tex]V_{1} (x,y)[/tex] and [tex]V_{2} (x,y)[/tex] are the coordinates of the vertices.

If we know that [tex]V_{1} (x,y) = (2,0)[/tex] and [tex]V_{2} (x,y) = (2, 20)[/tex], then the coordinates of the center ellipse are:

[tex](h,k) = (2, 10)[/tex]

The length of the semimajor axis can be determined by using the following vectorial expression, which is equivalent to the Pythagorean Theorem:

[tex]a = \sqrt{[(h,k)-V_{1}(x,y)]\,\bullet\,[(h,k)-V_{1}(x,y)]}[/tex] (2)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]V_{1} (x,y) = (2,0)[/tex], then the length of the semimajor axis is:

[tex]a = \sqrt{(2-2)^{2}+(10-0)^{2}}[/tex]

[tex]a = 10[/tex]

And the length of the minor semiaxis is found by means of this Pythagorean identity:

[tex]b = \sqrt{a^{2}-c^{2}}[/tex] (3)

Where [tex]c[/tex] is the length between the center and any of the foci. This distance can be found by using this vectorial formula:

[tex]c = \sqrt{[(h,k)-F_{1}(x,y)]\,\bullet\,[(h,k)-F_{1}(x,y)]}[/tex] (4)

If we know that [tex](h,k) = (2, 10)[/tex] and [tex]F_{1} (x,y) = (2,4)[/tex], then the length between the center and any of the foci is:

[tex]c = \sqrt{(2-2)^{2}+(10-4)^{2}}[/tex]

[tex]c = 6[/tex]

And the length of the minor semiaxis is:

[tex]b = \sqrt{10^{2}-6^{2}}[/tex]

[tex]b = 8[/tex]

FInally, the equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].

Answer:

⅖

Step-by-step explanation:

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Step-by-step explanation:

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