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NNADVOKAT [17]
3 years ago
10

A pizza has a diameter of 14 inches each piece has a central angle of 30° what is the distance around the outside of the crust t

he arc length

Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

The distance is 2.33 π

Step-by-step explanation:

First we have to calculate the perimeter of the circle with the following formula:

r = 14in

c = π * 2r

Now we replace the value of r

c = π * 2 * 14

c = π * 28

c = 28π

Now we have to multiply it by 30/360 which is the fraction that represents the arc over the entire circumference

28π * 30/360 = 2 1/3 π = 2.33 π

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The difference between the observed value of the dependent variable and the value predicted using the estimated regression equat
Elenna [48]

Answer:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

Step-by-step explanation:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

7 0
3 years ago
Luke subtracted 128° from 180° and found that the measurement of ∠STR is 52°. How can Luke use this information to find the meas
Karolina [17]
STR is a triangle as shown in the picture. If Luke decided to subtract 128º from 180º, that's because he understood that the sum of the internal angles in a triangle is 180º, and therefore the angles RST and TRS together make 128º.
As a result, RST will be
128º - TRS
where TRS is the angle at R, as shown in the picture

6 0
3 years ago
Read 2 more answers
Does 5mm, 1mm, 10mm make a triangle
pogonyaev

Answer:

Step-by-step explanation:

No. Each side must be less than the sum of the remaining two sides.

10 ≮ 5+1

6 0
3 years ago
Add x^3 - 4x^2 + 1 to 3x^2 + x <br> Show Your work!
Sladkaya [172]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Let's solve ~

\qquad \sf  \dashrightarrow \: (x {}^{3}  - 4x {}^{2}  + 1) + (3 {x}^{2}  + x)

\qquad \sf  \dashrightarrow \:  {x}^{3}  - 4 {x}^{2}  + 1 + 3 {x}^{2}  + x

\qquad \sf  \dashrightarrow \:  {x}^{3}  - 4 {x}^{2}  + 3x {}^{2}  + x + 1

\qquad \sf  \dashrightarrow \:  {x}^{3}  -  {x}^{2}  + x + 1

6 0
2 years ago
For } (x) = 4x+1 and g(x) = x2 -5, find (f/g)(x)
matrenka [14]

Answer:

Step-by-step explanation:

                                                           4x + 1

The quotient   (f/g)(x) is    (f/g)(x) = ---------------

                                                          x^2 - 5

Note that x^2 means "square of x," whereas "x2" is ambiguous.

7 0
3 years ago
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