Find the length of each arc. Round your answers to the nearest tenth.
285⁰
A) 20.2 in
C) 5.8 in
OA
OB
OC
OD
16 in
B) 100.5 in
D) 79.6 in

The value for the side of rectangle XZ is equal 14, using the trigonometric ratios of cosine and sine of angles.

The trigonometric ratios concerns the relationship of an angle of a right-angled triangle to ratios of two side lengths. The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the triangle WYZ, the cosine of angle Y;

cos(Y) = 21/YZ {adjacent/hypotenuse}

YZ = [21/cos(Y)] {cross multiply}

Considering the triangle XYZ, the cosine of angle Y;

cos(Y) = YZ/28

YZ = 28 × cos(Y)

Therefore,

28cos(Y) = [21/cos(Y)]

cos²(Y) = 21/28 {cross multiply}

cos(Y) = √(21/28) {take the square root of both sides}

cos(Y) = 0.8660

Y = cos^(-1)(0.8660) {cross multiply}

Y = 30°

To get the side XZ, considering the triangle XYZ the sine of 30°;

sin30° = XZ/28 {opposite/hypotenuse}

by cross multiplication

XZ = 28 × sin30°

XZ = 14

Therefore, by proper application of the trigonometric ratios of cosine and sine of the angle for the given triangle, the side XZ = 14.

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Answer:

im sorry man teach me how to do this as best as u can

In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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There are two kinds of notation in set builder Roster Form and Set Builder Form.  

A set is a collection of clearly—defined unique items. The term “well-defined” applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.

There are two kinds of notation in set builder Roster Form and Set Builder Form.

In set builder, roster form, we list all the elements of a set in this manner, and they are represented inside curly brackets.

In a set builder form, a statement or, an expression is used to represent all the elements of a set in the Set Builder form.

Thus, there are two kinds of notation in set builder Roster Form and Set Builder Form.  

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26,460 cans of soda

Step-by-step explanation:

First times 9 and 5 together then times 7 with it then times 14 then times 6 and you should end up with 26,460

Answer:

108

Step-by-step explanation:

3²(2³+4) calculate to the power of 2 and get 9.

9 (2³+4) calculate 2 to the power of 3 and get 8.

9 (8+4) add 8 and 4 to get 12.

9 · 12 = 108 multiply 9 and 12 to get 108.

Answer:

B

Step-by-step explanation:

The number line best represents the possible amounts of money Jen would need to save to go camping is drawn below which is more than $90.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

Jen needs more than $120 to go camping. She has already saved $30.

Let 'x' be the amount that he required. Then the equation is given as,

x + 30 > 120

x > 120 - 30

x > 90

The number line best represents the possible amounts of money Jen would need to save to go camping is drawn below which is more than $90.

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Answer:

what is force ? write its S.I unit

Answer:

<a=55° ,< b=55° and <c=70°

Answer: 2.556

Step-by-step explanation:

23/9 = 2.5555555555 (endless 5)

round to nearest thousandths... three places from the decimal point.

2.5555... round up since 5 is the number next to the thousandth place.

Answer:

Using elimination method:

Add the two equations to eliminate the y variable: y-x=3x+2 + 2x+2y=14-y

This gives 3x=14-3 or x = (14-3)/3 = 11/3

Substitute this value of x into one of the original equations, for example the first one: y-x=3x+2

We get y-(11/3) = 3(11/3) +2

Solving for y we get y = (11/3) +2

Therefore, the solution to the system of equations is x = 11/3 and y = (11/3) + 2

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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The classical assumptions would be violated if you decided to add a dummy variable to the equation that was equal to 1 is independence of errors.

In a linear regression equation, the errors are assumed to be independent of each other, meaning that the error for one observation should not be related to the error for any other observation.

However, when you add a dummy variable that indicates whether the day is a weekday or not, you are introducing a systematic pattern into the errors.

Specifically, you are creating a situation where the errors for weekdays will be more similar to each other than to the errors for weekends, because the stock market is closed on weekends.

This violates the assumption of independence of errors, which can lead to biased estimates and unreliable inferences. To address this issue, you could consider including a different dummy variable that indicates whether the day is a weekend or not.

This would help to account for the systematic pattern in the errors and ensure that the classical assumptions are not violated.

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Answer:

8/10 (0.8)

4/5= 8 tenths

Answer:

8/10 (eight tenths)

Step-by-step explanation:

Since the denominator of 4/5 is 5 you can multiply 4/5 by 2 to make the denominator equal to 10.

4/5x2= 8/10

A=8/10 or eight tenths

I hope this helped :)

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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The onto functions (surjective functions) are:

c. f(m, n) = m + n + 1.

At first we have to identify onto (surjective) functions from Z x Z to Z, we need to check if each element in the codomain (Z) has at least one preimage in the domain (Z x Z).

a. f(m, n) = 2m - n

This function is not onto because for odd numbers in the codomain (Z), there is no pair of integers (m, n) in the domain that will map to them.

b. \(f(m, n) = m^2 - n^2\)

This function is not onto because for negative numbers in the codomain (Z), there is no pair of integers (m, n) in the domain that will map to them.

c. f(m, n) = m + n + 1

This function is onto. For any integer 'z' in the codomain (Z), we can find a pair of integers (m, n) in the domain such that m + n + 1 = z.

For example, if z = 0, we can choose m = 0 and n = -1, and then m + n + 1 = 0.

d. f(m, n) = |m| - |n|

This function is not onto because negative numbers in the codomain (Z) cannot be obtained from the domain (Z x Z).

For example, there is no pair of integers (m, n) in the domain that maps to -1.

Hence, The onto functions (surjective functions) are:

c. f(m, n) = m + n + 1.

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Answer:

\(sqrt{-64} =8i\\\\sqrt{-15} =isqrt{15} \\sqrt{-100} =10i\\sqrt{-25} =2i\sqrt{6}\)

Step-by-step explanation:

I hope this helps

Answer:

b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: true and stop deleting my answers im right im in collage

and I dont need to explain again when i already did so STOP and trust me

                                      A SNACK THAT SMILES BACK®

Answer:

1. y = 2x - 5

2. y = (-1/3)x

3. y = -4

4. y = (-3/4)x + 7

5. x = 6

6. y = -3x - 8

Step-by-step explanation:

1.

Point 1: (0, -5) Point 2: (-1, -7)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -7 - (-5)     -7 + 5       -2

m = ------------ = ----------- = ---------- = ------ = 2

        x₂ - x₁         -1 - 0           -1           -1

y - y₁ = m (x - x₁)

y - (-5) = 2(x - 0)

y + 5 = 2x - 0

   -5           -5

y = 2x - 5

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

2.

Point 1: (0, 0) Point 2: (3, -1)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        -1 - 0            -1

m = ------------ = ----------- = ----------

        x₂ - x₁         3 - 0            3

y - y₁ = m (x - x₁)

y - (0) = (-1/3)(x - 0)

y - 0 = (-1/3)x - 0

   -0                -0

y = (-1/3)x

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

3.

Point 1: (0, -4) Point 2: (-5, -4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -4 - (-4)   -4 + 4         0

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

        x₂ - x₁         -5 - 0          -5          -5

y = -4

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

4.

Point 1: (0, 7) Point 2: (4, 4)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        4 - 7            -3

m = ------------ = ----------- = ----------

        x₂ - x₁         4 - 0            4

y - y₁ = m (x - x₁)

y - 7 = (-3/4)(x - 0)

y - 7 = (-3/4)x - 0

   +7               +7

y = (-3/4)x + 7

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

5.

Point 1: (6, 0) Point 2: (6, 3)

            (x₁, y₁)              (x₂, y₂)

        y₂ - y₁        3 - 0             3

m = ------------ = ----------- = ---------- = undefined

        x₂ - x₁         6 - 6           0

x = 6

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

6.

Point 1: (0, -8) Point 2: (-4, 4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        4 - (-8)      4 + 8       12

m = ------------ = ----------- = ---------- = ------ = -3

        x₂ - x₁         -4 - 0          -4         -4

y - y₁ = m (x - x₁)

y - (-8) = -3(x - 0)

y + 8 = -3x - 0

   -8           -8

y = -3x - 8

I hope this helps!

Answer:

it's 3gc brought video gloves

Answer:

\(\dfrac{dV}{dt}=502.65\ mm^3/s\)

Step-by-step explanation:

The volume of a sphere is given by :

\(V=\dfrac{4}{3}\pi r^3\)

The rate of change of volume means,

\(\dfrac{dV}{dt}=\dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r\times \dfrac{dr}{dt}\)

We have, \(\dfrac{dr}{dt}=2\ mm/s\ and\ r=40\ mm\)

So,

\(\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3\times 20\times 2\\\\=502.65\ mm^3/s\)

So, the volume is increasing at the rate of \(502.65\ mm^3/s\).

Answer:

12?

Step-by-step explanation:

The three statements that are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   .......equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

Based on the information provided, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

By comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x - 0)² + (y - 0)² = 3²

x² + y² = 9.

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The inverse of the divisor which can be used to complete the given equation would be 7/1.

The inverse of a divisor is defined as the changing of the numerator with the denominator when division is being carried out in fraction after which it can be multiplied to arrive at an answer.

The given fractions for division are as follows!

= 1/5 ÷ 1/7

= 1/5 × 7/1

= 7/5

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Answer:

○ \(\displaystyle (x - 4)^2 + (y + 2)^2 = 25\)

Explanation:

Accourding to one of the circle equations, \(\displaystyle (x - h)^2 + (y - k)^2 = r^2,\)the centre of the circle is represented by \(\displaystyle (h, k).\)Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:

Pythagorean Theorem

\(\displaystyle a^2 + b^2 = c^2 \\ \\ 4^2 + 3^2 = r^2 \hookrightarrow 16 + 9 = r^2 \hookrightarrow \sqrt{25} = \sqrt{r^2} \\ \\ \boxed{5 = r}\)

Sinse we are dealing with length, we only desire the NON-NEGATIVE root.

Distanse Equation

\( \displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-7 + 4]^2 + [-2 - 2]^2} = r \hookrightarrow \sqrt{[-3]^2 + [-4]^2} = r \hookrightarrow \sqrt{9 + 16} = r; \sqrt{25} = r \\ \\ \boxed{5 = r}\)

Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.

I am joyous to assist you at any time.