what’s the answer? help pls

The given information is:

- The area of the sector of the circle is 31.2 cm^2.

- The exterior of the sector angle is 256°.

The area of the sector is given by the formula:

Where theta is the sector angle and r is the radius of the circle.

The whole circle measures 360°, so the sector angle can be found as follows:

Now, replace theta and the area value in the formula to solve for r:

The radius of the circle is 5.9 cm.

Answer:

y = 2x + 10

Step-by-step explanation:

Equation of the line is;

y = −(x/2) + (4/5)

Slope here is m = -½ following the equation y = mx + c

Now, for a line perpendicular to it, the slope will now be; m = -1/(-½) = 2

To pass through the point ( − 2, 6 ), let's find C and it will be;

6 = 2(-2) + c

6 = -4 + c

c = 6 + 4

c = 10

Thus equation is;

y = 2x + 10

The exact cost of producing the 21st food processor is $2,277. The approximate cost of producing the 21st food processor using the marginal cost is $1,930.

To find the exact cost of producing the 21st food processor, we substitute x = 21 into the cost function C(x) = 1900 + 20x - 0.3x^2:

C(21) = 1900 + 20(21) - 0.3(21)^2

= 1900 + 420 - 0.3(441)

= 1900 + 420 - 132.3

= 2,277.7

Therefore, the exact cost of producing the 21st food processor is $2,277.

To approximate the cost using the marginal cost, we need to find the derivative of the cost function C(x) with respect to x, which gives us the marginal cost function MC(x):

MC(x) = dC(x)/dx = 20 - 0.6x

The marginal cost represents the rate at which the cost is changing with respect to the number of food processors produced. At x = 21, the marginal cost is:

MC(21) = 20 - 0.6(21)

= 20 - 12.6

= 7.4

This means that for each additional food processor produced beyond the 20th, the cost is increasing by approximately $7.4.

To estimate the cost of producing the 21st food processor, we can add the marginal cost to the cost of producing the 20th food processor:

Estimated cost = Cost of 20th food processor + Marginal cost

= C(20) + MC(21)

= 1900 + 20(20) - 0.3(20)^2 + 7.4

= 1900 + 400 - 0.3(400) + 7.4

= 1,907.6

Therefore, using the marginal cost, the approximate cost of producing the 21st food processor is $1,930.

Learn more about marginal cost:

https://brainly.com/question/32525273

#SPJ11

Answer:

x=334

Step-by-step explanation:

log(3x-2)=3

log(3x-2)=3

3x-2=10^3

3x-2=1000

3x=1000+2

3x=1002

x=1002/3

x=334

Answer:

12750

how to find the area -

Multiply length by width, and double it. That gives you the total area of the top and bottom surfaces, so you multiply them all together, then when you get the answer multiply it by 2, then that will be your answer!

a. The area of each sector is 1.7 cm^2
b. If the weight of the silver disk is 2.3 grams, the silver wedge for each earring weighs approximately 319.4 milligrams.

Answer:
a. To find the area of each sector, we need to use the formula for the area of a sector: A = (θ/360°) * π * r^2, where θ is the central angle of the sector and r is the radius of the disk.

Given that the central angle is 50° and the radius is 2 cm, we can substitute these values into the formula:
A = (50°/360°) * π * (2 cm)^2

Simplifying the calculation:
A = (5/36) * π * 4 cm^2
A ≈ 1.7 cm^2

Therefore, the area of each sector is approximately 1.7 cm^2.

b. To find the weight of the silver wedge for each earring, we need to calculate the weight per unit area.

Given that the weight of the silver disk is 2.3 grams and the area of each sector is 0.694 cm^2, we can use the formula:
Weight per unit area = Total weight / Total area

Substituting the given values:
Weight per unit area = 2.3 grams / (2 * 0.694 cm^2)

Simplifying the calculation:
Weight per unit area ≈ 0.3194 grams/cm^2

To convert grams to milligrams, we can use the conversion factor 1 gram = 1000 milligrams. Therefore, the weight per unit area in milligrams is:
Weight per unit area ≈ 0.3194 grams/cm^2 * 1000 milligrams/gram

Simplifying the calculation:
Weight per unit area ≈ 319.4 milligrams/cm^2

Therefore, the silver wedge for each earring weighs approximately 319.4 milligrams.

Complete Question:

A jeweler makes a pair of earrings by cutting two 50° sectors from a silver disk. radius of the disk is 2 cm

a. Find the area of each sector.

b. If the weight of the silver disk is 2.3 grams, how many milligrams does the silver wedge for each earring weigh?

To know more about sector refer here:

https://brainly.com/question/29055300

#SPJ11

Answer:

The last three are the answers i guess .

Step-by-step explanation:

10q + 5

A. 5q + 5q + 5 is your answer, since 5q + 5q = 10q, and the question is 10q + 5

A) 5q + 5q + 5    

10q+5

Answer: 10q+5

hope this helps

Hierarchy chart is defined as a tool used for organizing ideas in order of rank or level of importance. In other words, it is a graphical representation that shows the relationship between different levels of things that have similar properties or functions.

Hierarchy charts are often used in various areas such as computer programming, business organizations, and education, among others. This tool is an essential tool for people to visualize and understand the structure of complex systems in a simple and organized manner. A hierarchy chart is a tool that is used for organizing ideas in an order of rank or level of importance. It is a visual representation of the different levels of things that have similar properties or functions.

The chart is used in different areas such as computer programming, business organizations, and education, among others. The hierarchy chart helps to understand the structure of complex systems in a simple and organized manner. For example, a hierarchy chart can be used to show the different levels of an organization or a program, where each level has its specific role or task. A hierarchy chart is a visual tool that organizes ideas in an order of rank or level of importance. It is a graphical representation that shows the relationship between different levels of things that have similar properties or functions. For instance, a hierarchy chart can be used to show the different levels of an organization or a program, where each level has its specific role or task.

To know more about Hierarchy chart  visit:

https://brainly.com/question/28139625

#SPJ11

Answer:

minus six equals twon plus one

Step-by-step explanation:

.....................

Answer: n + -6 = 2n+1

                         or

              n * -6 = 2n+1

Step-by-step explanation: over means more than so basically addition or multiplication  

Answer:

X > 8

Step-by-step explanation:

Using the keywords greater than helps you.

The scale of the drawing of theater based on the value of scale in drawing and actuals stage is 1:4.

The scale of the drawing will be calculated by the formula -

Scale of the drawing = measure of new shape/measure of original shape

Keep the values in formula to find the scale of the drawing

Scale of the drawing = 5/20

Performing division on Right Hand Side of the equation to find the scale of the drawing

Scale of the drawing = 1:4

Hence, the scale of the drawing of theater when comparing drawing and actual theater is 1:4.

Learn more about scale -

https://brainly.com/question/2826496

#SPJ4

Income tax on salary of $80,000 is $4342.5

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

A full number, not a fraction, that can be positive, negative, or zero is called an integer (pronounced IN-tuh-jer). Integer examples include: -5, 1, 5, 8

17001 and up

For income range 17001 and up:

Total 80,000

80,000 - 17000= 63000

5.75% =0.0575

= [63000] x 0.0575

= [3622.5]

Total = 60+60 + 600 + 3622.5

        = $4342.5

Income tax on salary of $80,000 is $4342.5

To Learn more about the percentage form the link:

https://brainly.com/question/24304697

#SPJ1

Answer:

34

Step-by-step explanation: goes up in 7's

The amount consists of two steps: first, a reflection in the x-axis followed by a reflection in the y-axis, then a rotation of 180° about the origin, followed by a translation of one unit either to the left or to the right.

The transformation first consists of two reflections, one in the x-axis and one in the y-axis. This will create a mirror image of the original shape, flipping it across the x-axis and then the y-axis. The next step is a rotation of 180° about the origin. This will turn the shape around so that the reflection is facing the opposite direction. The last step is a translation of one unit either to the left or to the right. This will move the shape one unit in the specified direction, creating a new shape with the same orientation and size as the original, but shifted in space. This transformation will create a new shape that is a symmetrical mirror image of the original shape, with a different position in space.

Learn more about amount here

https://brainly.com/question/28970975

#SPJ1

-78

Step-by-step explanation:

(7-8)(78)

(-1)(78)=-78

The addition of the surds is determined as 11√19 + 38√71 + 51√13.

The surds can be added by simplifying each term as follows;

11√19 + 38√71 + 19√13 + 16√52

= 11√19 + 38√71 + 19√13 + 16(2√13)

= 11√19 + 38√71 + 19√13 + 32√13

So we will the similar terms as follows;

= 11√19 + 38√71 + (19√13 + 32√13)

= 11√19 + 38√71 + 51√13

Thus, the addition of the surds is determined by simplifying complex term to the lowest possible term.

Learn more about addition of surds here: https://brainly.com/question/27743084

#SPJ1

The sum of the equation of i from i^2 to i^23 is equal to -1, which is the result of subtracting i from itself.

i^2 = -1

i^3 = -i

i^4 = 1

i^5 = i

i^6 = -1

i^7 = -i

i^8 = 1

i^9 = i

i^10 = -1

i^11 = -i

i^12 = 1

i^13 = i

i^14 = -1

i^15 = -i

i^16 = 1

i^17 = i

i^18 = -1

i^19 = -i

i^20 = 1

i^21 = i

i^22 = -1

i^23 = -i

Therefore, i^2 + i^3 + ... + i^23 = -i + (-i) = -1

The sum of the powers of i from i^2 to i^23 can be calculated by starting with i^2=-1 and then adding the result of each successive power to the sum. For example, i^3=-i and so i^2 + i^3=-1-i=-i. This process is then repeated for each of the powers i^4 to i^23, until the result of i^23=-i is added to the sum. This gives a final result of -i + (-i) = -1.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

In parallelogram ABCD, ∠b = 55°; ∠d = 55. So, the correct answer is (a).

We know that opposite angles of a parallelogram are congruent. In another words, opposite angles of  parallelogram are equal. Therefore, we equate the angle B and angle D to each other and solve.

angle B = angle D

2n + 15 = 3n - 15

n = 30

The value of n is 30.

Now we can find the measures of angles B and D:

angle B = 2n + 15 = 2(30) + 15 = 75 degrees

angle D = 3n - 15 = 3(30) - 15 = 75 degrees

Therefore, the answer is (a) ∠b = 55°; ∠d = 55

To know more about parallelogram :

https://brainly.com/question/16578666

#SPJ4

____The given question is incomplete, the complete question is given below:

In parallelogram ABCD measure of angle b is 2n+15 and angle d is 3n - 15. What are the measures of angles b and d? a)∠b = 55°; ∠d = 55° b) ∠b = 55°; ∠d = 125° c) ∠b = 97°; ∠d = 97° d)∠b = 83°; ∠d = 97°

Answer:

The Answer is A

Step-by-step explanation:

I just took the test! 2023Edg

Answer:

4 terms

Step-by-step explanation:

The terms in the expression are unique in that they cannot be combined.

The 4 terms are

2n

+ 5

- 3p

+ 4p

Answer:

84

Step-by-step explanation:

find the lcm and the hcf of the numbers and then add

A compound inequality is formed by two inequalities, with diferent values ≤≥<>

Then first divide the inequality in

1≤ x + 7

and

x + 7< 5

then first becomes

-x ≤ 7-1≤6 or same x≥ -6

second inequality becomes

x < 5-7 < -2

then the composed inequality solution is

-6 ≤ x < -2

By satisfying all of the properties, we can conclude that ℂ^2x2 is a complex vector space.

To verify that ℂ^2x2 is a complex vector space, we need to show that it satisfies the following properties:

Closure under addition: For any two complex vectors u = [u₁ u₂]^T and v = [v₁ v₂]^T in ℂ^2x2, their sum u + v is also in ℂ^2x2.

Let's take u = [u₁ u₂]^T and v = [v₁ v₂]^T, where u₁, u₂, v₁, v₂ ∈ ℂ. Adding these vectors, we get:

u + v = [u₁ + v₁, u₂ + v₂]^T

Since u₁ + v₁ and u₂ + v₂ are complex numbers, the sum u + v is also a complex vector in ℂ^2x2. Thus, closure under addition is satisfied.

Closure under scalar multiplication: For any complex scalar c and complex vector u = [u₁ u₂]^T in ℂ^2x2, the scalar multiplication cu is also in ℂ^2x2.

Let's take u = [u₁ u₂]^T, where u₁, u₂ ∈ ℂ, and c ∈ ℂ. Multiplying the vector u by the scalar c, we get:

cu = [c u₁, c u₂]^T

Since c u₁ and c u₂ are complex numbers, the scalar multiplication cu is also a complex vector in ℂ^2x2. Therefore, closure under scalar multiplication is satisfied.

Associativity of addition: For any complex vectors u, v, and w in ℂ^2x2, (u + v) + w = u + (v + w).

Let's take u = [u₁ u₂]^T, v = [v₁ v₂]^T, and w = [w₁ w₂]^T, where u₁, u₂, v₁, v₂, w₁, w₂ ∈ ℂ.

(u + v) + w = ([u₁ + v₁, u₂ + v₂]^T) + [w₁ w₂]^T

= [u₁ + v₁ + w₁, u₂ + v₂ + w₂]^T

u + (v + w) = [u₁ u₂]^T + ([v₁ + w₁, v₂ + w₂]^T)

= [u₁ + v₁ + w₁, u₂ + v₂ + w₂]^T

Since (u₁ + v₁) + w₁ = u₁ + (v₁ + w₁) and (u₂ + v₂) + w₂ = u₂ + (v₂ + w₂), the associativity of addition is satisfied.

Existence of zero vector: There exists a complex vector 0 in ℂ^2x2 such that u + 0 = u for any complex vector u in ℂ^2x2.

The zero vector is given by 0 = [0 0]^T. For any vector u = [u₁ u₂]^T, we have:

u + 0 = [u₁ u₂]^T + [0 0]^T

= [u₁ + 0, u₂ + 0]^T

= [u₁ u₂]^T

Therefore, the zero vector property is satisfied.

Existence of additive inverse: For any complex vector u in ℂ^2x2, there exists a complex vector -u such that u + (-u) = 0.

The additive inverse of u = [u₁ u₂]^T is given by -u = [-u₁ -u₂]^T. We have:

u + (-u) = [u₁ u₂]^T + [-u₁ -u₂]^T

= [u₁ + (-u₁), u₂ + (-u₂)]^T

= [0 0]^T

Thus, the existence of additive inverse is satisfied.

Learn more about vector at: brainly.com/question/30958460

#SPJ11

Step-by-step explanation:

-2(8m+6)

this expands to -16m-12

Answer:

9

Step-by-step explanation:

The average is just another word for mean. You get the mean by adding all the numbers in a data set and then dividing by the number you added.

Hope this helps!

Answer:

Step-by-step explanation:

You want the lengths of the baselines in a right triangle figure with hypotenuse 34, and angles marked 42° and 63°.

The mnemonic SOH CAH TOA reminds you of the trig relations:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

The side given as 34 is the hypotenuse of the larger triangle, and the side marked 'b' is adjacent to the given angle 42°. This tells us we can use the cosine relation:

  cos(42°) = b/34

  b = 34·cos(42°) ≈ 25.2669 ≈ 25.27

Once we find 'a', we can find 'c' by subtraction. To find 'a', we need to know the measure of the vertical side opposite the angle 42°.

  sin(42°) = (vertical side)/34

  vertical side = 34·sin(42°) ≈ 22.7504

We now have the side opposite angle 63°, so we can find the side adjacent (a) using the tangent relation:

  tan(63°) = (vertical side)/a = 22.7504/a

  a = 22.7504/tan(63°) ≈ 11.5919 ≈ 11.59

Now the length c can be found from ...

  c = b -a

  c = 25.2669 -11.5919 ≈ 13.67

The lengths are ...

  a ≈ 11.59, b ≈ 25.27, c ≈ 13.67

__

Additional comment

As is often the case with rounded numbers, the sum of the rounded numbers is not the same as the rounded value that represents their total. You need more significant digits than shown above to see why. The calculator image in the attachment shows values with more significant digits.

The calculator expression uses 34·sin(42°)/tan(42°) for 34·cos(42°). These are equivalent, and we know the calculator has sufficient precision that the result is the same either way. This lets us find both 'a' and 'b' in one calculator entry. The final result is [a | b | c].

<95141404393>