A circle has centre C and radius 4 cm.
The diagram shows the circle with a point
D which lies on the circle. The tangent at D
passes through the point E. EC = √65 cm.
Find
a) the size in radians of angle DCE
b) the area of the shaded region

Answer:

Option B.

{–9 + i√225 / 24, –9 – i√225 / 24}

Step-by-step explanation:

12a² + 9a + 7 = 0

Using formula method, the solutions to the equation can be obtained as follow:

Coefficient of a² (a) = 12

Coefficient of a (b) = 9

Constant (c) = 7

a = –b ±√(b² – 4ac) / 2a

a = –9 ±√(9² – 4 × 12 × 7) / 2 × 12

a = –9 ±√(81 – 336) / 24

a = –9 ±√(– 225) / 24

Recall

–225 = –1 × 225

Thus,

–9 ±√(– 225) / 24 = –9 ±√(–1 × 225)/24

Recall

√(–1 × 225) = √–1 × √225 = i√225

Thus,

–9 ±√(–1 × 225)/24 = –9 ± i√225/24

Therefore,

a = –9 ± i√225/24

a = –9 + i√225 / 24 or –9 – i√225 / 24

Therefore, the solutions to the equation are:

{–9 + i√225 / 24, –9 – i√225 / 24}

Answer:

it is 0.18

Step-by-step explanation:

I took the test

Step-by-step explanation:

hope this helps....see above for answer

Answer:

b

Step-by-step explanation:

i did it rn

Answer:

B: 57.12

Step-by-step explanation:

2.8 times 1.2 times 17 is 57:12

The total amount each member of the Nantucket recreation center have to pay after the discount is given by the equation A = $ 840

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount for each person after discount be represented as A

Now , the equation will be

The total number of people in the group = 36

The standard fare for each person = $ 1200

So , the total cost of the fare = total number of people x standard fare for each person

Substituting the values in the equation , we get

The total cost of the fare = 1200 x 36

The total cost of the fare = $ 43,200

Now , the discount percentage = 30 %

So , the amount after discount = total cost of the fare - total cost of the fare x discount percentage

Substituting the values in the equation , we get

The amount after discount = 43,200 - ( 30/100 ) x 43,200

The amount after discount = 43200 - 12960

The amount after discount = $ 30,240

Now ,

Total amount for each person after discount A =amount after discount / 36

Total amount for each person after discount A = 30,240 / 36

On simplifying the equation , we get

Total amount for each person after discount A = $ 840

Therefore , the value of A is $ 840

Hence , the amount is $ 840

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Answer:

[tex]6x^4-13-5x^2[/tex]

[tex]given[/tex]

[tex]x^2(6x^2-13x-5)[/tex]

[tex]Factor ~ out ~the~common~Factor~of ~x^2[/tex]

[tex]x^2(3x+1)(2x-5)[/tex]

[tex]Factor ~the ~quadratic~equation[/tex]

[tex]x^2,3x+1,2x-5[/tex]

[tex]These ~factors ~can ~ be ~ the ~dimenions~of ~the ~prism~because~they ~will \\yield~the~ correct ~volume.[/tex]

---------------------

hope it helps...

have a great day!!

Answer:

Hope this helps

Step-by-step explanation:

1. Make 5 3/4 into an improper fraction. That would be 23/4. 2. Write 4 in a fraction way. That would be 4/1. 3. Now do 23/4 X 4/1. That would be 92/4. 4. Turn it into a mixed number by doing 92 divided by 4. That would be 23. No fraction after 23. Jacob rode his bike 23 miles this week. :)

Answer:

5 3/4 times 4 = 23/4 times 4 = 92/4 =23

Step-by-step explanation:

The system of equations -3x + y = 4 and -9x + 5y = -1 has the solution (-3.5 , -6.5).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations. This is what is called as the solution.

Given two equations in x and y,

-3x + y = 4     (equation 1)

-9x + 5y = -1     (equation 2)

Rewrite equation 1 as an equation of y and substitute to equation 2.

(equation 1) -3x + y = 4     ⇒     y = 3x + 4

-9x + 5y = -1     (equation 2)

-9x + 5(3x + 4) = -1

-9x + 15x + 20 = -1

6x = -21

x = -3.5

Substitute the value of x in equation of y and solve for y.

y = 3x + 4

y = 3(-3.5) + 4

y = -6.5

Hence, the solution to the following system of equations is (-3.5 , -6.5).

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Answer:

(-3.5 , -6.5)

Step-by-step explanation:

The first twenty digits after the decimal point of 7/11 when written as a decimal are: 6363636363636. The sum of these digits is 108.

The correct option is y=1/4x.Because it holds the directly proportional relationships.

Two values x and y are said to be directly proportional to each other when the ratio x:y always remains the same. Directly proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

A relationship is proportional if each pair of data values are related in the same way by multiplying by a factor. You can recognize a proportional relationship by looking at data.When two quantities x and y are in direct proportion then they are written as x ∝ y. Symbol “∝” stands for 'is proportional to'.

NOW we find

according to directly proportion

y∝x

y=kx

y/x=k

2/8 =k

1/4 =k

Now we get

y = 1/4x

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Answer:

  (x, {C and/or R}) = (5, 380)

Step-by-step explanation:

You want the break-even point when cost (C) and revenue (R) are given by ...

Profit is the difference between revenue and cost. The break-even point is the point at which profit is zero:

  P = R -C

  0 = 76x -(36x +200)

  0 = 40x -200 . . . . simplify

  0 = x -5 . . . . . . . . . divide by 40

  x = 5 . . . . . . . . . add 5

The break-even point is at x=5. Revenue and cost are both 380 at that point.

If you prefer to look at these values in a table, you can consider ...

  [tex]\displaystyle \begin{array}{ccc}x&C&R\\\cline{1-3}\vphantom{\^B}3&308&228\\4&344&304\\5&380&380\\6&416&456\end{array}[/tex]

We notice that cost and revenue are the same for x=5. They are both 380 for that value of x.

Another way to find the break-even point is to use a graph to plot cost and revenue on the same vertical axis. The point at which the lines cross is the break-even point. The break-even point coordinates are (5, 380).

Answer:

black screen

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

320/2000=.16 or 16%

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Now, According to the question:

How do you find the domain?

Let y = f(x) be a function with an independent variable x and a dependent variable y. If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

How do you find the range?

The range is calculated by subtracting the lowest value from the highest value.

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The percent of the variance in the dependent variable unexplained by the independent variable is 81%

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.

9 percent of the variance is explained by the independent variable if the correlation coefficient is 0.3.

The correlation coefficient is therefore represented as follows:

[tex]r = 0.3[/tex]

The explained variance is found using the following formula:

[tex]R^{2} = r^{2} \\R^{2} = (0.3)^{2} \\R^{2} = (0.3)*(0.3)\\R^{2} = 0.9[/tex]

Thus, 81% of the variance remains unexplained by variations in the independent variable.

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Don't forget about the curly braces.

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

Explanation:

The upside down "U" symbol means "intersect". We're looking for where the two sets intersect or overlap. In other words, we're looking for all of the values are in both sets at the same time. It might help to draw out the Venn diagram (see the image attachment below).

The numbers 4, 14, and 20 are found in both set A and set B at the same time. Therefore, [tex]A \cap B = \{4, 14, 20\}[/tex]. Something like the value 7 is only found in set A, but not in set B. So we'll ignore that value. Similar things happen with 10 and 17 for set A, and also 1 and 9 for set B.

So that's why the answer you type in is {4, 14, 20}. The curly braces are there to tell the reader we're dealing with a set of values.

The equation -15x + 4x + 2 - x = x has  solution and the solution is 2/13

From the question, we have the following parameters that can be used in our computation:

-15x+4x+2-x= x+

Express the equation properly

So, we have the following representation

-15x + 4x + 2 - x = x

Collect the like terms in the equation

This gives

-x - 15x + 4x - x = -2

Evaluate the like terms

So, we have the following representation

-13x = -2

Divide both sides by -13

This gives

x = 2/13

Hence, the solution is 2/13

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Answer:

-28

Step-by-step explanation:

-17-11= -28

-28-(-17)=11

Answer:

x = [tex]\sqrt{147}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 7² = 14²

x² + 49 = 196 ( subtract 49 from both sides )

x² = 147 ( take the square root of both sides )

x = [tex]\sqrt{147}[/tex] ≈ 12.1 ( to 1 dec. place )

x = 12.12 cm

There are two ways to solve this triangle. We will be using the simpler, Pythagorean Theorem to solve for the missing side length - [tex]a^{2}+b^{2}=c^{2}[/tex]

'a' and 'b' are variables for regular side length legs, while 'c' is a variable for the hypotenuse.

[tex]7^{2}+x^{2} =14^{2}[/tex]

[tex]x^{2} =196-49[/tex]

[tex]x^{2} =147[/tex]

x ≈ 12.12

Since X is an odd number, x+2 is the following odd number. If x is an even number, the subsequent odd number is x + 1.

The vehicles that will travel on the highways on particular days are decided by the Odd-Even rule, a space rationing system. According to the plan, vehicles with odd and even numbers will travel the roads on alternate days.

In jQuery, the odd() method is used to pick elements with odd index numbers (such as 1, 3, 5, etc.). The index begins at zero. It picks odd numbers, unlike the even() function, which is comparable. From the set of chosen items, the odd() method returns the odd indexed elements.

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Answer:

Step-by-step explanation:

Given: Polynomial y = 5x²+3x⁶-10x-8

here, 5 is the coefficient of x², 3 is the coefficient of x⁶, -10 is the coefficient of x and -8 is the constant term.

option (D)

Answer:

down there.

Step-by-step explanation:

Look for a term that has no variables with it. Once you've found it you've found ur constant. The only such term is -8 so the constant is -8 or choice d.

hence choice d

Answer:

69.75 in^2

Step-by-step explanation:

Please see the attached image.

Let's first find the area of the bottom rectangle. The area of a rectangle is the length times the width.

9*4.5=40.5 in^2

Now let's find the area of the triangle on top. The area of a triangle is the base times the height divided by 2.

9*6.5/2=29.25 in^2

Now add the areas of the two shapes to get the total area of the figure.

40.5+29.25=69.75 in^2

Answer:

69.75 in²

--

First divide the shape into rectangles and triangles.

There is one triangle and one rectangle

Then . .

Solve the area of the bottom rectangle

-formula A = L x W

Then . .

Find the area of the triangle on top

-formula

A = 1/2 × b × h

Plug in . .

Finally add the two areas together to get the finale area!

40.5 + 29.25 = 69.75 in²

Therefore , As a result, the intersection of these two lines will be a necessary point in order to solve the specified scatter plot problem (-0.5,2).

Several dots are placed on a vertical and horizontal axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the amount of correlation, if any, between both the quantities of observed quantities or occurrences (called variables).

Here,

Maria You've erred, you know that. You don't understand the points at all. The attachment can be used to your advantage.

The property of rational numbers, according to which there are an endless number of terminating decimals between any two terminating decimals, must be used in order to plot any terminating decimal on the coordinate plane.

On the X axis, indicate -0.5 between 0 and -1.

Mark integer 2 on the Y axis in a similar manner.

Draw a line perpendicular to the Y axis, passing through (-0.5,0), and a line perpendicular to the X axis, passing through (0,2).

These two lines must cross at the specified position (-0.5,2).

As a result, the intersection of these two lines will be a necessary point in order to solve the specified scatter plot problem (-0.5,2).

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On solving the provided question we can say that It is isosceles triangle the value of QR is 1.3

Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal. An isosceles triangle is one that has two equal-length sides in geometry. With the latter specification, the equilateral triangle is included as a special case even though it is commonly stipulated that it must have at least two sides of equal length.

It is isosceles triangle so, that

ratio of QT/QR = ET/RS

4.7/X = 4.7/1.3

X = 1.3

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Marissa velocity while skateboarding is 162 meters per minute

An equation is used to show the relationship between numbers and variables.

Velocity is the ratio of displacement to time taken. It is a vector quantity (has magnitude and direction) and it is given by:

Velocity = displacement / time

Marissa travels 486 meters in 3 minutes, hence:

Velocity = displacement / time

Velocity = 486 m / 3 min = 162 meters per minute

The velocity is 162 meters per minute

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Answer: The correct answer is 2.7m/s

Step-by-step explanation:

I took the test

Answer:

You get zero

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

Answer:

Step-by-step explanation:

Name the property of the real numbers illustrated by the equation

Answer:

Step-by-step explanation:

1) translate the given informations in a operation

8x^2 -7x - 2 - (6x^2-x+3)

2) change the sign of all the terms in the bracket

8x^2 -7x -2 -6x^2 + x -3

3) simplify the expression

2x^2 - 6x -5