What is the arc measure of major arc BDC in degrees?

Greetings from Brasil...

As said:

1° angle: X

2° angle: 2X

3° angle: 20 + 5X

"...The sum of the measures of the angles of a triangle is 180 degrees..."

(1° angle) + (2° angle) + (3° angle) = 180

X + 2X + (20 + 5X) = 180

X + 2X + 5X = 180 - 20

8X = 160

X = 160/8

X = 20

But the problem asks for the value of each angle. Thus

1° angle: X

as X = 20, so

1° angle: X = 20

2° angle: 2X

as X = 20, so

2° angle: 2.20 = 40

3° angle: 20 + 5X

as X = 20, so

3° angle: 20 + 5.20 = 20 + 100 = 120

The values of the first, second, and third angles are 20°, 40° and 120° respectively.

Let the first angle = x

Let the second angle = 2 × x = 2x

Let the third angle = 20 + (5 × x) = 20+5x

Total angles in the triangle = 180°

Based on the information above, the angles will be calculated thus:

x + 2x + 5x + 20 = 180

Collect like terms

8x = 180 - 20

8x = 160

x = 160/8

x = 20

First angle = 20°

Second angle = 2x = 2 × 20° = 40°

Third angle = 5x + 20 = (5 × 20°) + 20° = 120°

The angles are 20°, 40°, and 120°

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Answer:

B- 3 1/3 cups

Step-by-step explanation:

4 servings = 2/3

20 = 4×5

20 servings = 2/3 × 5

=3.33

= 3 1/3

(I'm not 100% sure, this is just what I got! Hope it helps :) )

The time interval when the speed is decreasing 0< t<3

Instatenous speed is the speed of a object in motion at any given moment of time.

When the speed starts deceasing the instatenous acceleration dv/dt<0

differentiating the distance with time with second order

dv/dt= d^2x/dt^2

dv/dt= 18t- 54

dv/dt<0

18t-54<0

18t<54

t<3

Therefore the time interval when the speed start deceasing is 0 to 2

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Answer:i think its 115 degres

Step-by-step explanation:

The vertices of the triangle DEF after the 90º counterclockwise rotation about the point (5,2) are given as follows:

D'(-11, -2), E'(-10, 1) and F'(-6, -3).

The five more known rotation rules are given as follows:

Considering the 90º counterclockwise rotation about the point (5,2), the rule is given as follows:

(x,y) -> (-y - 5, x - 2).

Hence the vertices are given as follows:

D'(-11, -2), E'(-10, 1) and F'(-6, -3).

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Answer:

-6.53333333333 (-6.53)

Step-by-step explanation:

Hope this helps! <3

Answer:

Step-by-step explanation:

Answer:

constant of proportionality = 10

Step-by-step explanation:

the equation to find the constant of proportionality is,

y = kx

where k is the constant of proportionality

by substituting any value of y and x from the table,

30 = k3

thus, k = 10

for any given number of counselor the children will be it's ten times.

According to the information given in the exercise, you know that the 100% is 80.

Let be "x" the number that is the 53% of 80.

By definition, you can write 53% as a Decimal number by dividing it by 100. Then, this is:

You can write 100% as a Decimal number:

Knowing the above, you can set up the following proportion:

Now you must solve for "x":

The answer is:

Answer:

Step-by-step explanation:

Don’t know

Answer:

Step-by-step explanation:

Ones : 9

Tens : 4

Hundreds : 2

Tenths : 6

Answer:

40

Step-by-step explanation:

To find the value of the 4 in 249.6 you simply look at the place it is in. It is in the tens place so, it is equal to 40.

\( \huge \red {Question}\)

p(a) = 4a +4

What is the coefficient of a?

\( \huge \red{Answer}\)

4 is the coefficient of a .

Step-by-step explanation:

4 is the coefficient of a .

None of the statements about quantitative versus qualitative research are true.

This is because the comparison between quantitative and qualitative research is not a matter of one being objectively better or more subjective, richer, or more time-consuming than the other. They are different approaches to research, each with its strengths and limitations, and the choice between them depends on the research question, the nature of the data, and the research design.

Quantitative research is characterized by the collection of numerical data that can be analyzed using statistical methods to identify patterns, relationships, and trends. This approach is used when the research question requires an objective measurement of variables that can be quantified and compared across groups. For example, a quantitative study may examine the relationship between height and weight in a population, using statistical techniques to identify the strength of the relationship and its significance.

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Answer:

Midpoint = (10,6)

Step-by-step explanation:

Using Coordinates: X(6,5) and Y(14,7)

Using the midpoint formula: M = (X1 +Y1)/2, (X2 + Y2)/2

Midpoint of XY = (6 + 14) / 2, (5 + 7) / 2

Midpoint of XY = (20) / 2, (12) / 2

Therefore the midpoint of XY is (10,6)

Answer:

230 in.²

Step-by-step explanation:

20 · 10 = 200 in.²

5 · 6 = 30 in.²

200 in.² + 30 in.²

Answer:

230 sq in

Step-by-step explanation:

You can find entire area (20 x 16) and subtract out the area of the missing piece (15 x 6)

20 x 16 = 320

15 x 6 = 90

320 - 90 = 230

Answer:

\(y = \frac{7}{4} x - 3 \\ y = x \\ y = \frac{7}{4} y - 3 \\ y - \frac{7}{4} y = - 3 \\ - \frac{3}{4} y = - 3 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4 = x\)

Answer:

50.26 is the area.

Hope it helps!!!

Answer:

slope is undefined

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (-4 -1)/(8-8)

     = -5/0

We cannot divide by zero so the slope is undefined

Answer:

Slope is undefined .

Step-by-step explanation:

        y2 - y1

m =   ---------------  

         x2 - x1

           -4 - 1             -5

m =   ---------------  =  ----- -  = 0

            8 - 8             0

Given the indefinite integral as\(`(8t^5)^(2.7) dt`\). Let us evaluate it now. Indefinite integral is represented by \(`∫f(x)dx`\). It is the reverse of the derivative. Here, we need to find the primitive function that has \(`(8t^5)^(2.7) dt`\)as its derivative. We use the formula for integration by substitution: \(∫f(g(x))g′(x)dx=∫f(u)du.\)

Here, the given function is \(`f(t) = (8t^5)^(2.7)`\). Let\(`u = 8t^5`.\) Now, \(`du/dt = 40t^4`.⇒ `dt = du/40t^4`.\) Hence, the indefinite integral \(`(8t^5)^(2.7) dt`\)becomes,\(`∫(8t^5)^(2.7) dt``= ∫u^(2.7) du/40t^4`\) (Substituting \(`u = 8t^5`\)) `= (1/40) \(∫u^(2.7)/t^4 du` `= (1/40) ∫(u/t^4)^(2.7) du` `= (1/40) [(u/t^4)^(2.7+1)/(2.7+1)] + c` `= (1/40) [(8t^5/t^4)^(2.7+1)/(2.7+1)] + c` `= (1/40) [(8t)^(13.5)/(13.5)] + c` `= (1/540) [(8t)^(13.5)] + c`\)

Therefore, the indefinite integral \(`(8t^5)^(2.7) dt`\)is \(`(1/540) [(8t)^(13.5)] + c`\). Hence, the solution is \(`(1/540) [(8t)^(13.5)] + c`\)where \(`c`\) is a constant of integration.

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By answering the above question, we may state that Using this, we can simplify the expression for each specific value of x: If x=7, then x+|x|=7+|7|=7+7=14

In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.

If x≥0, then |x|=x, so x+|x|=x+x=2x. Therefore, the simplified expression is 2x.

Using this, we can simplify the expression for each specific value of x:

If x=7, then x+|x|=7+|7|=7+7=14

If x=10, then x+|x|=10+|10|=10+10=20

If x=0, then x+|x|=0+|0|=0+0=0

If x=−3, then x+|x|=−3+|−3|=−3+3=0

If x=−8, then x+|x|=−8+|−8|=−8+8=0

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Answer:

\(y=0.5x+2\)

Step-by-step explanation:

Finding the inverse of a function is essentially finding the complete opposite of a given function. An easy trick can be used to find the inverse of a function. This trick is essentially thinking of the evaluator (f(x)) as another variable. Solve the function for (x) in terms of (f(x)); use inverse operations to do so. After completing this process, rewrite the function such that it is in the inverse function notation; switch the position of the (f(x)) and the (x), then indicate that it is an inverse function.

\(f(x)=2x-4\)

Inverse operations,

\(f(x)=2x-4\)

\(f(x)+4=2x\)

\(\frac{f(x)+4}{2}=x\)

Simplify,

\(0.5f(x)+2=x\)

Rewrite in inverse function notation,

\(f^-^1(x)=0.5x+2\)

\(y=0.5x+2\)

Given the odds in favor of event E as 16 to 4, the probability of event E is 4/5.The probability of event E is then the number of favorable outcomes divided by the total number of outcomes. So, P(E) = 16/20 = 4/5.

The odds in favor of event E are given as 16 to 4. To compute the probability of event E, we need to convert these odds into a fraction.

The odds in favor of E are 16 to 4, which means that for every 16 favorable outcomes, there are 4 unfavorable outcomes.

To find the probability, we add the number of favorable outcomes and the number of unfavorable outcomes together. In this case, 16 + 4 = 20.

The probability of event E is then the number of favorable outcomes divided by the total number of outcomes. So, P(E) = 16/20 = 4/5.

Therefore, the probability of event E is 4/5.In summary, given the odds in favor of event E as 16 to 4, the probability of event E is 4/5.

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Answer:

300 students

Step-by-step explanation:

The solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

According to the given question.

We have a linear equation in one variable.

4y - 6 = 2y + 8

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is given by

4y - 6 = 2y + 8

⇒ 4y - 2y - 6 = 8     ( subtracting 2y from both the sides)

⇒ 2y -6 -8 = 0           (subtracting 8 from both the sides)

⇒ 2y - 14 = 0

⇒ 2y = 14

⇒ y = 14/2

⇒ y = 7

Hence, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

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