Convert the polar equ what is the angle between the ropes? Round to the nearest degree.ation r = 16 sin θ to a rectangular equation.

The graph best represents this relationship of the scale model of a statue is B.

For the given question;

On the model 2 inches represents 1 foot on the actual statue.

Thus, model 4 inches represents 2 foot on the actual statue.

This is given by graph B.

Thus, the graph best represents this relationship of the scale model of a statue is B.

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Answer:

Width = 4.7 m, Length = 6.7 m

Step-by-step explanation:

Let the width be [tex]w[/tex]. Then, the length is [tex]w+2[/tex].

[tex]w(w+2)=32 \\ \\ w^2+2w-32=0 \\ \\ w=\frac{-2 \pm \sqrt{2^2-4(1)(-32)}}{2(1)} \\ \\ w \approx 4.7 (w>0) \\ \\ w+2 \approx 6.7[/tex]

Given data:

The given slope of the line is m=1/5 .

The given y-intercept is c=6.

The expression for the equation of the line in slope intercept form is,

Subbstitute the given values in the above expression.

Thus, the equation of the line in slope intercept form is y=(1/5)x+6.

The correct options are 2,3,4,5, according to given question.

What do you mean by equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

According to data in the given question,

We have the given information:

P = 18

w= l/2

Perimeter of a rectangle equals to twice the sum of length and width:

P= 2(l+w)

If we assume width = x, then:

l = 2x

2(x+2x) = 18 or

2x + 4x = 18

If we assume length = x, then:

w = 1/2x

2(x + 1/2x) = 18 or

2x + x = 18

Therefore, the correct options are below:

x + one-half x = 18   === incorrect                        

2 x + x = 18               === correct

2 (x) + 2 (2 x) = 18     === correct

x + one-half x + x + one-half x = 18 === correct, same as second option

2 (x + one-half x) = 18    === correct, same as second option

2 x + one-half x = 18     === incorrect

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Answer:

2/15v + 7/9

Step-by-step explanation:

We take our base equation, then we will make every mixed number into an improper fraction. This will give us  14/5v - 2/3(4v+ 7/6)​. Then we will open the parentheses.  This gives us: 14/5v - 8/3v+ 14/18. We will bring both the v's to a common denominator, giving us 42/15v - 40/15v+ 14/18. Then we can subtract and simplify. 2/15v + 7/9.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=4000\left(1+\frac{0.06}{1}\right)^{1\cdot 5} \implies A=4000(1.06)^5\implies A \approx 5352.90[/tex]

now, we're assuming is a 6% growth of the current amount per year, namely compounded, as opposed to simple interest.

The two circles are said to be similar because they undergo a rigid transformation that does not change its shape.

A similarity transformation is defined as one or more rigid transformations (reflection, rotation, translation) followed by a dilation. Now, when a figure is transformed using a similarity transformation, an image is created that is similar to the original figure. This means that, two figures are similar if a similarity transformation will map  the first figure to the second figure.

By definition of similarity transformation, looking at the given diagram, both shapes are circles and as such it is obvious that one circle has been dilated by a scale factor to get the other circle.

Thus, they have the same shape and are similar circles.

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the inequality for this situation is

T >= -2

Answer:

x=6

Explanation:

Given the equation:

First, cross multiply:

Next, open the brackets:

Subtract 3x from both sides of the equation:

Add 6 to both sides of the equation:

Finally, divide both sides by 5:

The value of x is 6.

A sinusoidal function that matches the given graph is y=cosπx/3+2.

From the given question, the curve is the graph of a sinusoidal function.

It goes through the points (- 4, 0) and (2, 0).

We have to find the sinusoidal function that matches the given graph.

For this problem, we can use either of these general equations :

y = Asin(Bx + C) + D or y = Acos(Bx + C) + D.

A = amplitude = distance on Y-axis from centre of graph to highest or lowest point.

So from the given graph

A = 1

T = period = distance on X-axis over one complete cycle

So from the given graph

T = 6.

So B=2π/6 =π/3

D = distance that graph has been moved up or down on the Y-axis

D = 0

C= horizontal shift (left side if positive)

From the given Graph

C = 2

So, equtaion is

y = Acos(Bx + C) + D

Putting the each variable value

Using π =3.1416.

y = 1*cos(π/3 x + 2) + 0

y = cosπx/3 + 2

Hence, a sinusoidal function that matches the given graph is y=cosπx/3+2.

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Answer:

.

Step-by-step explanation:

we have

Write a quadratic equation in standard form whose graph passes through the given points (1,2) (2,-1) (3,-6)

A quadratic equation in standard form is equal to

y=Ax^2+Bx+C

substitute the given values

(1,2)

2=A(1^2)+B(1)+C

2=A+B+C ------> equation 1

(2,-1)

-1=A(2^2)+B(2)+C

-1=4A+2B+C -------> equation 2

(3,-6)

-6=A(3^2)+B(3)+C

-6=9A+3B+C -------> equation 3

step 1

In the equation 1 isolate the variable A

A=2-B-C -------> equation 4

step 2

substitute equation 4 in equation 2 and 3

-1=4(2-B-C)+2B+C

-1=8-4B-4C+2B+C

-1=8-2B-3C

2B+3C=

Answer:

1= 31 degrees

2= 121 degrees

3= 47 degrees

Step-by-step explanation:

IMPORTANT: SUM OF ALL THREE ANGLES OF A TRIANGLE EQUAL 180

For angle 1 we add 59+90 since those are the 2 known angles

90+59=149

Now subtract by 180

180-149=31

Angle 1 is equal to 31

Now for angle 2 we subtract 59 from 180 since it is on a flat surface the sum of those angles will equal 180 degrees

180-59=121

Angle 2 is 121 degrees

Now for angle 3 we add 121 and 12 since we know those 2 angles

121+12=133

Now subtract from 180

180-133= 47

Angles 3 is 47 degrees

Hopes this helps please mark brainliest

The equation

has two variables: x and y.

And since we have only one equation, the variables have infinite possible values, which are related to that equation.

Another way of seeing that is by calling x the independent variable, and then y will be the dependent variable (its value depends on the value of x).

So, we can isolate y on the left side of the equation, to obtain:

Now, we see that the above equation represents a line (an infinite set of points), that has a slope -3 and a y-intercept 5.

Therefore, all the points on that line are solutions to the given equation.

If we graph that set of solutions on a xy-plane, we obtain the line below:

Three types of juice means 3!

that is ., 3*2*1 =6

He will be able to fill 6 bags with the specified amount of each juice.

In mathematics, the term "factorial" refers to the sum of all positive integers that are less than or equal to a certain positive integer, which is followed by an exclamation point.

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Answer:

100

Step-by-step explanation:

7x - 18

The given expression is:

3 (x - 6) + 4x

Open the brackets by expanding the expression

3x - 18 + 4x

Combine like terms

3x + 4x - 18

7x - 18

"Height of the bridge is 148 m"

Given :

time = 5.49 s

Since pebble is dropped from a height it will have acceleration due to gravity (g = 9.8 m/s²) ∴ a = 9.8 m/s²

Let us assume that Initial velocity (v) is 0 m/s² (pebble is not moving)

we have to find distance d = ?

Now according to formula

d = vt + 1/2 at²

Now putting the values in the formula

d = 0 × 5.49 + 1/2 × 9.8 × (5.49)²

d = 0 + 147.68

d = 147.68 ≈ 148 m

Therefore the height of the bridge is 148 m.

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Maria can draw a number line connecting the points 0 and 12, then divide the distance between them into four equal parts. The division operation produces the location of the point closest to zero.

A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in elementary mathematics. Every point on a number line is assumed to be a real number, and every real number is assumed to be a point.

Integers are frequently represented as specially marked points evenly spaced on a line. Despite the fact that the image only shows the integers from -3 to 3, the line includes all real numbers, which continue indefinitely in each direction, as well as numbers that are between the integers. It is frequently used to help teach simple addition and subtraction, particularly with negative numbers.

The number line is also known as a real line or real number line in advanced mathematics. It is formally defined as the set R of all real numbers viewed as a geometric space, namely the Euclidean space of dimension one. It's also known as a vector space, metric space, topological space, measure space, or linear continuum.

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The Domain of the function is given as 2, 6 and 3 ≤ x ≤ 5.

Given that,
A graph of the function is shown, we have to determine the domain of the graph,

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

here,
The function is defined on the values of x, as 2, 6 and from 3 to 5,
So the domain of the function is said to be as 2, 6 and 3 ≤ x ≤ 5.

Thus, the Domain of the function is given as 2, 6 and 3 ≤ x ≤ 5.

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Start simplifying both numerator and denominator,

rewrite the expression

The simple interest formula is:

I = P R T, where I is the interest earned, P is the principal, R is the insterst per year and T is the time in years

If the initial deposit is $2,200 and after 4 years the balance is still $2,200, then the interest rate is zero

Answer:

Step-by-step explanation:  For this question, we need to make a table first.

For which we'll assume values of x and y.

Let the value of x be 0 then y will be 5

if value of x=3 then y=6

hence, we arrive at two points that are satisfying the equation.

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Answer:

2?

Step-by-step explanation:

I couldn't find an answer but 2 was the most appropriate so try that, and sorry I wasn't much of a help

Answer:

2

Step-by-step explanation:

We can start by placing the center at (-5,1).

The radius of the circle will be the distance between the center and the point (-2,-3).

If we graph this two points, we can use an angle protractor to draw the circle passing through point P(-2,-3) and centered at (C(-5,1):

The measure of angle of a triangle x is 42°.

According to the question,

We have the following information:

In a triangle, the measurements of two of its angles are 27° and 111°.

We know that the sum of three angles of a triangle is 180°.

So, we have the following expression to find the value of x:

27+111+x = 180

Adding the numbers on the left hand side:

(Note that the variable can not be added to any integer. It can only be added to the same variable.)

138+x = 180

Subtracting 138 from both the sides:

x = 180-138

x = 42°

Hence, the value of x for the given triangle is 42°.

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