find the missing side​

Step-by-step explanation:

[tex] \sin( \alpha ) = \frac{ \sqrt{5} }{3} \\ \alpha = 48.19 \: degrees \\ \cos( \alpha ) = \frac{2}{3} [/tex]

Answer:

cos theta =± 2/3

Step-by-step explanation:

sin theta = sqrt(5) /3

sin theta = opp side / hypotenuse

We know that

a^2 + b^2 = c^2 from the pythagorean theorem

opposite side ^2 + adjacent side ^2 = hypotenuse ^2

( sqrt(5)) ^2 +   adjacent side ^2  = 3^2

5 +  adjacent side ^2  = 9

Subtract 5 from each side

5-5 +  adjacent side ^2  = 9-5

 adjacent side ^2  = 4

Taking the square root of each side

 adjacent side   = ±2

We know that

cos theta = adj side / hyp

cos theta =± 2/3

Answer:

A. System C simplifies to 2x - 3y = 4 and 4x - y = 54 by dividing the second equation by three (3).

B. Systems A and C have the same solutions.

C. Systems A and B have different solutions.

Step-by-step explanation:

Given the following system of equations;

System A

2x - 3y = 4  .....equation 1

4x - y = 18  .......equation 2

We would solve the above equations using the elimination method;

Multiplying eqn 1 by 2;

2*(2x) - 2*(3y) = 4*2

4x - 6y = 8  ...... equation 3

Subtracting eqn 2 from eqn 3;

(4x - 4x) + (-6y - (-y)) = 8 - 18

0 + (-6y + y) = -10

-5y = -10

5y = 10

[tex] y = \frac {10}{5} [/tex]

y = 2

To find the value of x;

2x - 3y = 4

2x - 3(2) = 4

2x - 6 = 4

2x = 4 + 6

2x = 10

[tex] x = \frac {10}{2} [/tex]

x = 5

Solutions (x, y) = (5, 2)

System B

3x - 4y = 5  ..... equation 1

y = 5x + 3  ..... equation 2

We would solve the equations using substitution method;

Substituting eqn 2 into eqn 1, we have;

3x - 4(5x + 3) = 5

3x - 20x - 12 = 5

-17x - 12 = 5

-17x = 12 + 5

-17x = 17

[tex] x = \frac {-17}{17} [/tex]

x = -1

To find the value of y;

y = 5x + 3

y = 5(-1) + 3

y = -5 + 3

y = -2

Solutions (x, y) = (-1, -2)

System C

2x - 3y = 4  ..... equation 1

12x - 3y = 54  ...... equation 2

We would solve the above equations using the elimination method;

Subtracting eqn 2 from eqn 1;

(2x - 12x) + (-3y -(-3y)) = 4 - 54

-10x + (-3y + 3y) = -50

-10x + 0 = -50

-10x = -50

10x = 50

[tex] x = \frac {50}{10} [/tex]

x = 5

To find the value of y;

2x - 3y = 4

2(5) - 3y = 4

10 - 3y = 4

3y = 10 - 4

3y = 6

[tex] y = \frac {6}{3} [/tex]

y = 2

Solutions (x, y) = (5, 2)

Answer:

Step-by-step explanation:

3n  +4 sequence

n = 1 ,   3*1 + 4 = 3 + 4 = 7

n = 2 ;   3*2 + 4 = 6 + 4 = 10

n = 4 ;   3*3 + 4 = 9 + 4 = 13

n = 5 ;   3 *4 + 4 = 12 + 4 = 16

Sequence :  7, 10, 13 , 16, ........

4n - 5

n= 1 ;      4*1 - 5 = 4 - 5 =  -1

n = 2;    4*2 - 5 = 8 - 5 = 3

n = 3 ;   4*3 - 5 = 12 - 5 = 7

n = 4 ;   4*4 - 5 = 16 - 5 = 11

Sequence: -1, 3 , 7 , 11 ,........

Answer:

11 red

9 blue

20 green

as a ration is

11:9:20

since 9 and 11 are even numbers and can't be simplified

400th answer

Hope This Helps!!!

Answer:

P = 2(L + 6)

Step-by-step explanation:

The perimeter (P) of a rectangle is = 2(Length + Width)

Length = L

Width = 6

.: P = 2(L + 6)

Answer:

A

Step-by-step explanation:

simplify

-7+3(-4e-3)

=-7-12e-9

=-16-12e

rearrange

-12e-16

take -4 from equation

-4(e3+4)

or

multiply -4 in a

-4(3e)+-4(4)

-12e-16

Answer:

c. none of the above

Step-by-step explanation:

-7+3(-4e-3)

-4(-4e - 3)

Answer:

1372 cubic centimeters

Step-by-step explanation:

V = 4/3(π)(r^3)

Exchange π for 3

4/3(3)(r^3) = ?

Exchange r for the radius, 7

4/3(3)(7^3) = ?

4/3(3)(343) = ?

4(343) = 1372

1372 cubic centimeters

Answer:

−426500

Step-by-step explanation:

Answer:

bgyuhjvy;uhclgcxfghvmdxultgjvffgxfbc hgv

Step-by-step explanation:

vgfdhvczczxcgfzdsdvcxfdghcbcd

Answer:

$70.00

y=5r+20

Step-by-step explanation:

1. y=5(10)+20

y=70

The cost he will pay for 10 rides will be $70 and for r rides will be [tex]20+5r[/tex].

Given,

The price of admission into the park is $20.

The price for each ride is $5

David takes 10 rides,

So, the cost he will pay if he took 10 rides will be,

[tex]c_1=20+5 \times 10\\c_1=20+50\\c_1=70$[/tex]

If he had r rides,

So, the cost he will pay if he took r rides will be,

[tex]c_2=20+5 \times r\\c_2=20+5r[/tex]

Therefore, the cost he will pay for 10 rides will be $70 and for r rides will be[tex]20+5r[/tex].

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Answer:

20/60 = 33%

18/60 = 30%

21/60 = 35%

31/60 = 52%

Step-by-step explanation:

Just divide em'

Simple as that.

Answer:

I hope th is helps you I just divided the fractions by the way :)

Answer:

We know that the polynomial:

x²- 6y²- xy - 5x - 5y + 6

is rewritten as:

(x+ay+b)(x+cy-2)

First, lets expand the above expression:

x^2 + x*(cy) + x*(-2) + (ay)*x + (ay)*(cy) + (ay)*(-2) + b*x + b*(cy) - 2*b

Now we can simplify this to get:

x² + c*(xy) - 2*x + a*(xy) + ac*y² - 2a*y + b*x + bc*y  - 2b

now let's group together the terms with the same variables:

x² + (c + a)*(xy) + (b - 2)*x + (bc - 2a)*y + ac*y² - 2b

And that must be equal to:

x²- 6y²- xy - 5x - 5y + 6

notice that equations are equal if and only if all the correspondent factors are equal.

notice that in both cases, the factor that multiplies the x² term is 1.

for the y² term we will have:

a*c = -6

for the xy term we will have

c + a = -1

for the x term we will have

b - 2  = - 5

for the y term we will have

bc - 2a = -5

for the constant term, we will have:

-2b = 6

Then we have a lot of equations, rewriting these we have:

a*c = -6

c + a = -1

b - 2  = -5

bc - 2a = -5

-2b = 6

From the fourth equation, b - 2  = -5

we can get:

b = -5 + 2 = -3

b = -3

notice that for the last equation:

-2b = 6

b = 6/-2 = -3

we have the same solution

Then we can replace the value of b in the above equations to get:

a*c = -6

c + a = -1

-3*c - 2a = -5

Now, we need to isolate one of the variables in one of the equations.

For example, we can isolate c in the second one to get:

c = -1 - a

now we can replace that in other equation, for example the third one:

-3*(-1 - a) - 2a = -5

now we can solve that for a.

3 + 3a - 2a = -5

3 + (3 - 2)a = -5

3 + a = -5

a =  -5 - 3 = -8

a = -8

now we can use the equation "c = -1 - a" to find the value of c:

c = -1 -(-8) = -1 + 8 = 7

c = 7

then we have:

b = -3

a = -8

c = 7

then:

a + b*c = -8 + (-3)*7 = -8 - 21 = -29

Answer:  B. Probability

For example, let's say you want to know the probability of flipping tails.

There's 1 way to get tails out of 2 sides total. So 1/2 = 0.5 is the probability of flipping tails.

We define "success" as "getting tails".

Answer:

Step-by-step explanation:

A vertical line is an "x = " equation. To find out what this equation is, just plug in the value that satisfies the x value in the coordinate:

x = -5

If we were looking for the horizontal line that goes through that same point, we only need remember that a horizontal line is a "y = " line. To find out what this equation is, just plug in the value that satisfies the y value in the coordinate:

y = -2

Answer:

W

Step-by-step explanation:

The vertical line test is a simple tool to determine if a graph is a function. Draw a vertical line through the graph. If at any point where you draw this line you hit the relation twice or more you know it to not be a function. What I mean is that if you have multiple Y's for a single X, then it cant be a function.

Side note: Vertical is up and down, like the line in X.

Answer:

0.09

Step-by-step explanation:

9% written as a decimal is 0.09

8%=0.08

7%=0.07

6%=0.06

5%=0.05

4%=0.04

3%=0.03

2%=0.02

1%=0.01

Given:

The functions are:

[tex]f(x)=\log_4x[/tex]

[tex]g(x)=f\left(\dfrac{1}{3}x\right)[/tex]

The function f(x) is dilated to become g(x).

To find:

The effect on f(x).

Solution:

Transformation is defined as:

[tex]g(x)=f(kx)[/tex]            ...(i)

Where, k is the factor of horizontal stretch and compression.

If 0<k<1, then the graph of f(x) stretched horizontally by factor [tex]\dfrac{1}{k}[/tex].

If k>1, then the graph of f(x) compressed horizontally by factor [tex]\dfrac{1}{k}[/tex].

It is given that

[tex]g(x)=f\left(\dfrac{1}{3}x\right)[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]k=\dfrac{1}{3}[/tex]

Therefore, the graph of f(x) stretched horizontally by factor [tex]3[/tex].

Answer:

I got 5.51x10^-4

Step-by-step explanation:

Answer:

.0005507

Step-by-step explanation:

5.6 x [tex]10^{-4}[/tex]

9.3 x [tex]10^{-6}[/tex]

 560 x [tex]10^{-6}[/tex]

- 9.3 x [tex]10^{-6}[/tex]

550.7 x [tex]10^{-6}[/tex]

.0005507

Answer:

x is 21°

Step-by-step explanation:

The angles formed between the transversal t and lines m and n are; (8·x - 7)°, and (9·x - 28)°

Based on the similar location the angles are formed by the transversal, t, and lines m and n, the angles are corresponding angles

Given that lines, m and n are parallel, we have the corresponding angles formed by the transversal, t, and the lines are equal, therefore;

(8·x - 7)° = (9·x - 28)°

Simplifying the above equation to make x the subject, we get

(28 - 7)° = 9·x - 8·x = x

∴ 21° = x

x = 21°.

Answer:

7066.66666667

Step-by-step explanation:

Sorry if i'm wrong

Answer:

g(x) = (x + 5)(x + 1)(x - 7)

Step-by-step explanation:

i know for a fact im right

The complete equation of function whose zeros are given;

                               f(x) = (x+5)(x+1)(x-7)

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number.

Here, given zeros are;

   -5, -1, 7

then we can write;

x = -5,  x = -1; x = 7

x +5 = 0 ; x + 1 = 0 ; x - 7 = 0

On multiplying all the terms we get;

(x+5)(x+1)(x-7) = 0

Thus, The complete equation of function whose zeros are given;

                               f(x) = (x+5)(x+1)(x-7)

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Answer:

The answer is 80

Step-by-step explanation:

we know that

the outlier is 50, as it is not around the other numbers in the data set.

therefore

mean=[76+ 79 + 80 + 82+ 78 + 83 + 79 + 81 + 82]/9

mean=[720]/9

mean=80

Answer:

80

Step-by-step explanation:

mean=[76+ 79 + 80 + 82+ 78 + 83 + 79 + 81 + 82]/9

mean=[720]/9

mean=80

Answer: The expression would look like 2x+(25+3y).

Step-by-step explanation:

Let the number be x

2x+(25+3y)

The algebraic expression will be [tex]2x+(25+3y)[/tex] .

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

A number [tex]x[/tex]

Number [tex]y[/tex],

The sum of twice the number [tex]x[/tex] and [tex]25[/tex] more than [tex]3[/tex] times the number [tex]y[/tex] ,

So,

According to the question,

sum of twice the number [tex]x[/tex] [tex]=2x[/tex]

And,

ore than [tex]3[/tex] times the number [tex]y[/tex] [tex]=25+3y[/tex]

Now,

The whole  algebraic expression,

[tex]2x+25+3y[/tex]

Hence, we can say that the algebraic expression will be [tex]2x+(25+3y)[/tex] .

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Answer:

[tex]y=-2(sin(2x))-7[/tex]

Step-by-step explanation:

1. Approach

Given information:

What conclusions can be made about this function:

Therefore, one has the following information figured out:

[tex]y=-n(sin(ax))+b[/tex]

Now one has to find the following information:

2. Midline

The midlines can simply be defined as a line that goes through a sinusoidal function, cutting the function in half. This is represented by the constant (b). One is given that point (0, -7) is where the graph intersects the midline. The (y-coordinate) of this point is the midline. Therefore, the midline is the following:

y = -7

2. Amplitude

The amplitude is represented by the coefficient (n). It can simply be defined by the distance from the midline to point of maximum (the highest part of a sinusoidal function) or point of minimum (lowest point on the function). Since the function reaches a point of minimum after intercepting the (y-axis) at its midlines, the amplitude is a negative coefficient. One can find the absolute value of the amplitude by finding the difference of the (y-coordinate) of the point of minimum (or maximum) and the absolute value of the midline.

point of minimum: [tex](\frac{\pi}{4},9)[/tex]

midline: [tex]y=-7[/tex]

Amplitude: 9 - |-7| = 9 - 7 = 2

3. Period

The period of a sinusoidal function is the amount of time it takes to reach the same point on the wave. In essence, if one were to select any point on the sinusoidal function, and draw a line going to the right, how long would it take for that line to reach a point on the function that is identical to the point at which it started. This can be found by taking the difference of the (x- coordinate) of the intersection point of the midline, and the (x-coordinate) of the point of minimum, and multiplying it by (4).

point of minimum: [tex](\frac{\pi}{4},9)[/tex]

midline intersection: [tex](0, -7)[/tex]

Period: [tex]4(\frac{\pi}{4}-0)=4(\frac{\pi}{4})=\pi[/tex]

However, in order to input this into the function in place of the variable (a), one has to divide this number by ([tex]2\pi[/tex]).

[tex]a=\frac{2\pi}{\pi}=2[/tex]

4. Assemble the function

One now has the following solutions to the variables:

[tex]n =-16\\a=2\\b=-7\\[/tex]

Substitute these values into the function:

[tex]y=-2(sin(2x))-7[/tex]

Answer:

x ≤ 6.5

Step-by-step explanation:

x−4 + x ≤ 9

Combine like terms

2x-4≤ 9

Add 4 to each side

2x-4+4≤ 9+4

2x≤ 13

Divide by 2

2x/2 ≤ 13/2

x ≤ 6.5

Step-by-step explanation:

Concerning the peculiar interrogate, I will be providing correction(s) to the following answers inserted:

Y = 3x - 1

Slope = 3

Y-intercept = -1

X - 3 = y

Y = x - 3 <== Slope-Intercept Form.

Slope = 1

Y-intercept: -3

Y = 1 - 3x

Slope: -3

Y-intercept: 1

-x + 3 = y

Y = -x + 3 <== Slope-intercept Form.

Slope: -1

Y-intercept: 3

Thus, the following configurations have been defined or derived from the origin of the proposed interrogated.

*I hope this helps.

Answer:

Step-by-step explanation:

Scale measure is a one-to-one thing while volume is a cubed thing. If we want to find the volume that the actual car can hold, we have to find the volume that results from cubing the one-to-one measure.

[tex]\frac{m}{a}:\frac{1^3}{48^3}=\frac{1}{110592}[/tex] That last fraction is the ratio of the volumes. Remember, volume is a cubed measure (where distance is a linear measure and area is a squared measure. We find ratios of areas by squaring the one-to-one {distance} measures, and we find ratios of volumes by cubing the one-to-one measures). We have a given volume for the model (m in our ratio) and we are looking for the capacity that the actual car (a in our ratio) can hold. Set up the proportion as follows:

[tex]\frac{1}{110592}=\frac{90}{x}[/tex] and cross multiply

x = 9,953,280 inches cubed

Answer:

(f-g)(2) = 14

Step-by-step explanation:

f(x) =3x^2 +1 and g(x) = 1 -x

f(2) = 3(2)^2 +1 = 3(4)+1 = 12+1 = 13

g(2) = 1-2 = -1

f(2) - g(2) = 13 - -1 = 13+1 =14

Answer:

14

Step-by-step explanation:

(f-g)(2) means f of x minus g of x when x equals 2.

To solve, first set up the equation

[tex](3x^2}+1)-(1-x)[/tex]

Change the signs in the second part. {because this is subtraction}

[tex]3x^2}+1-1+x[/tex]

Replace x with 2.

[tex]3(2^2})+1-1+2[/tex]

Solve.

[tex]3(4)+2[/tex]

[tex]12+2[/tex]

[tex]14[/tex]