I dont know how to do this problem...

Answer:

  B = 80°

  b = 11.343

  c = 11.518

Step-by-step explanation:

Given side a=2 and angle A=10° in a right triangle with the right angle at C, you want to know the measures of B, b, and c.

The sum of angles in a triangle is 180°, so we have ...

  10° +B +90° = 180°

  B = 180° -100°

  B = 80°

This mnemonic is intended to remind you ...

  Sin = Opposite/Hypotenuse

  sin(10°) = 2/c

  c = 2/sin(10°) ≈ 11.343

and

  Tan = Opposite/Adjacent

  tan(10°) = 2/b

  b = 2/tan(10°) ≈ 11.518

The calculations are shown in the attachment.

Answer:

971.92 square inches of wrapping paper.

Step-by-step explanation:

Please find the attachment for detail

The value of AD is  2.4cm

We have to find [tex]$\mathrm{AD}=$[/tex] ?

Since,

[tex]$$\mathrm{DB}=7.2 \mathrm{c} . \mathrm{m} .$$[/tex]

[tex]$$\mathrm{AE}=1.8 \mathrm{c} . \mathrm{m} .$$[/tex]

[tex]$$\mathrm{EC}=5.4 \mathrm{c} \cdot \mathrm{m} .$$[/tex]

So, We know that (using Thales Theorem)

[tex]\frac{\mathrm{AD}}{\mathrm{DB}}=\frac{\mathrm{AE}}{\mathrm{CE}}[/tex]

Then,

[tex]$\frac{\mathrm{AD}}{7.2}=\frac{1.8}{5.4}$[/tex]

[tex]$\mathrm{AD}=\frac{1.8 \times 7.2}{5.4}$[/tex]

[tex]$\mathrm{AD}=\frac{7.2}{3}$[/tex]

[tex]$\mathrm{AD}=2.4 \mathrm{~cm}$[/tex].

[tex]$\mathrm{EC}=5.4 \mathrm{~cm}$[/tex].

The complete question is,

In [tex]$\triangle \mathrm{ABC} \mathrm{DE} \| \mathrm{BC}$[/tex]Find [tex]$\mathrm{AD}$[/tex] if [tex]$\mathrm{DB}=7.2 \mathrm{~cm}, \mathrm{AE}=1.8 \mathrm{~cm}$[/tex], and

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Answer:2

Step-by-step explanation:

just because

The slope of _-1/20__ means the car uses 1 gallon of gas for every 20 miles driven.

The y-intercept of 20___ means there are originally___20 gallons of gas in the tank.

According to the question,

A linear equation is an algebraic equation in the form y=mx+b.

We know,

y = -1/20 x + 20

Linear equations are equations whose power of the variables is 1. The graph of a linear equation is a straight line.

We start with 20 gallons of gas and are decreasing the amount of gas by 1/20 gallon every mile drove.

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The complete question is:

Given this description of a real-life situation and its linear equation, interpret the y-intercept and the slope.

The amount of gasoline y (in gallons) left in your tank after you travel x miles is y=−1/20x+20.

The slope of ___

means the car uses 1 gallon of gas for every ___

miles driven.

The y-intercept of ___

means there is original___

gallons of gas in the tank.

Currently taking discrete math so this one hits close to home haha :)

Provided that we are given the first term [tex]a_0=8[/tex], the equation is found by subtracting the previous term from the current term. The recursive equation is then used to find the following terms in the sequence.

Notice that each term decreases by three as we move along the sequence, this can be written in the form of the recursive equation:

[tex]a_n = a_n_-_1-3[/tex]

If we assumes that the taxpayer has $100,000 as his income on the completed Form 1040, the total tax that the employee is responsible for paying will be $17,836.

A tax bracket is a range of incomes that are taxed at a specific rate. Tax brackets are part of a progressive tax system, which means that tax rates increase progressively as an individual's income increases. Low-income taxpayers pay relatively low tax rates, while higher-income taxpayers pay higher rates.

In 2022, for example, a single filer with taxable income of $100,000 will pay $17,836 in taxes, representing an average tax rate of 18%. However, your marginal tax rate or tax bracket is 24%. As a result, the total tax that the employee is responsible for is $17,836.

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When revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the volume occupied between the lines -

x = 4, y = x and x - axis.

Refer to the image attached. The reflection over the {x} axis will occupy more volume as compared to the reflection over the {y} axis. The figure generated in both the cases would be a cuboidal prism structure.

Therefore, when revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.

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A conversion of the decimals to percentages are as follows;

a) 0.543 = 54.3%.

b) 0.0098 =  0.98%

c) 1.67 = 167%.

A conversion of the percentages to decimals are as follows;

a) 10% = 0.1

b) 0.010% = 0.0001

A conversion of the mixed numbers to fractions and decimals are as follows;

a) 2 1/3 = 7/3 = 2.33

c) 5 3/5 = 28/5 = 5.6

A conversion of the fraction to mixed numbers are as follows;

a) 11/4 = 2 3/4

b) 16/7 = 2 2/7

In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

In order to convert decimal numbers to percentages, we would have to multiply the number by 100 as follows;

Decimal number = 0.543 × 100 = 54.3%.

Decimal number = 0.0098 × 100 = 0.98%.

Decimal number = 1.67 × 100 = 167%.

In order to convert percentages to decimal numbers, we would have to divide the number by 100 as follows;

Percentage = 10/100 = 0.1.

Percentage = 0.010/100 = 0.0001

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The tip amount is closest to 18% is,  $15, So Option A is correct

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

3 Coffee 5.85

1 Diet Bev. – lg. 3.38

1 Sparkling Water 2.50

3 Ranch Chicken Sandwich 44.97

1 Classic Burger 12.95

1 Thai Stir-fry Special 11.50

2 Club Sandwich 22.98

Subtotal 104.13

Tax (13%) 13.54

Total 117.67

Tip amount 18%  =  117.67x18/100

                            =  14.11

Hence, It is closest to $15

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Answer: Convert the mixed numbers to improper fractions, then find the LCD and combine them.

Exact Form:

188

5

Decimal Form:

37.6

Mixed Number Form:

37

3

5

hope this helped have a nice day! :)

Answer:

Step-by-step explanation:

(124+64) /5

= 188/5

Answer is = 37.5

An ordered set has the least upper bound property if and only if it has the greatest lower bound property.

Every nonempty subset A0 of an ordered set A is said to have the least upper bound property and has the lowest upper bound that is constrained above. A fulfills this requirement. Assume B0 is a set of any size with a lower bound. We must demonstrate that it has the largest lower bound. Assume LA is the collection of all the set B0's lower bounds.

∃b0∈B0,∀x∈L,x≤b0.

L is therefore bound above. So it has the lowest upper bound. Let b represent the lower limit of L.

∀x∈L,x≤b.

If  ∃b′∈B0,b′≤b, which defies the assertion that b is the lowest upper bound of L. As a result,

b≤y,∀y∈B0.

So, b is the lower bound.

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On solving the provided question, we can say that by unitary method 6 plate cost = $22.69 and 4 more cost = 32.49; total = 32.49+22.69 = $55.18 and cost of each plate = $5.518

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here, by unitary method

6 plate cost = $22.69

and 4 more cost = 32.49

total = 32.49+22.69 = $55.18

cost of each plate = $5.518

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The correct question is -

Pamela found a style of plate that she loves, but her local home goods store is out of stock. She decides to find the same style online. She has 6 plates in her cart right now and her total cost, including a fixed shipping cost is $22.69 . Later she decides to add 4 more plates to her cart. Her total is now $32.49 ,What is the cost of each plate?

a) The differential equation which

stating that the instantaneous rate of change of y with respect to t is directly proportional to the square root of y is

dy/dt = c√y .

b) The value of constant of proportionality, c is equals to the -3/4.

I fill up a tall topless tin can with water and punch a hole near the bottom with an ice pick. As a results of it water leakage is started. Due to water leakage, the depth of water in tin start decreasing. According to Torricelli's Law, the rate of change of the volume V of water in a draining tank with respect to time is dirctly proportional to the square root of the water's depth. Let the depth of water in tin be "y".

a) Now, the instantaneous rate of change of y with respect to t is directly proportional to the square root of y. A differential equation which states the above condition is represented as

dy/dt ∝ √y

to remove the proporationalty sign we use a constant c which is known as constant of proportionality.

=> dy/dt = c√y

This is the required differential equation.

b) Now, we have at t = 0 minute, y = 16cm

and rate of change of y with respect to time, dy/dt = - 3 cm/ min. We have to calculate the value of constant c . So, plugging all known values in above differential equation,

=> dy/dt = c√y

=> -3 = c√16

=> -3 = c×4

=> c = -3/4

Hence, required constant is -3/4.

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Complete question :

Suppose you till a tall topless tin can with water, and then punch a hole near the bottom with an ice pick. The water leaks quickly at first, then more slowly as the depth of the water decreases. In engineering or physics. you will learn that the rate at which water leaks out is directly proportional to the square root of its depth. y. a. Write a diferential equation stating that the instantaneous rate of change of y with respect to t is directly proportional to the square root of y

b. Suppose at time t=0 minutes. the depth y is 16 cm and dy/dt =-3 cm / min. Find the constant of di proportionality c.

When the b-component of the equation is 2, the y-intercept for y = 6x + 2 is (0,2).

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the connection between two expressions on opposite sides of the sign. It generally consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.

Here,

y = 6x + 2

y-intercept=(0,2)

The y-intercept for y = 6x + 2 is (0,2) when the b-component of equation is 2.

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The point that lies on the line is: (3, 2).

The slope is: 2/3.

The equation of a line in point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

Given the graph of a line is represented by the equation, y - 2 = 2/3(x - 3), in point-slope form, we have:

Point (x1, y1) = (3, 2)

Slope (m) = 2/3.

The graph is shown in the image below.

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Answer:

Yes

Step-by-step explanation:

Since they want 10% off EVERY item, this makes it easier.

Instead of having to do them one of a time, we can add all these prices together, find 10%, and see if it's less than $60.

Let's start off with adding all the items

1.25+2.50+1.50+2.00+5.00+12.50+4.50+1.00 = 30.25

Multiplying by 2 because he wants two of everything

$60.50

Now we take 10% of that $60.50

10% in decimal form is 0.10, so we multiply

(60.50)(.10) = $6.05

Lastly, we subtract that $60.50 and $6.05

$60.50 - $6.05 = $54.45

Sales Tax is 9%

So again, we will multiply then add that sales tax

.09 is 9%

(54.45)(.09) = 4.9

Adding that together

54.45 + 4.9 = $59.35

So yes, he would have enough

Answer:

Step-by-step explanation:

Given this information, we can determine the maximum number of units of each product (A, B, and C) that can be produced with the given quantity of resources (M1, M2, and M3). To do this, we can use the formula:

Maximum number of units of product = Minimum of (available quantity of resource / resource required per unit of product)

For example, to find the maximum number of units of product A that can be produced, we take the minimum of the following three values:

(71,000 units of M1 / 3 units of M1 per unit of A) = 23,666.67 units of A

(81,000 units of M2 / 2 units of M2 per unit of A) = 40,500 units of A

(92,000 units of M3 / 6 units of M3 per unit of A) = 15,333.33 units of A

So the maximum number of units of A that can be produced is 15,333.33 units.

Similarly, we can find the maximum number of units of B and C that can be produced:

(71,000 units of M1 / 3 units of M1 per unit of B) = 23,666.67 units of B

(81,000 units of M2 / 2 units of M2 per unit of B) = 40,500 units of B

(92,000 units of M3 / 4 units of M3 per unit of B) = 23,000 units of B

So the maximum number of units of B that can be produced is 23,000 units.

(71,000 units of M1 / 5 units of M1 per unit of C) = 14,200 units of C

(81,000 units of M2 / 7 units of M2 per unit of C) = 11,571.43 units of C

(92,000 units of M3 / 4 units of M3 per unit of C) = 23,000 units of C

So the maximum number of units of C that can be produced is 11,571.43 units.

It is important to note that these calculations are based on the assumption that all resources are used fully and no resources are left over.

Answer:

In 2020, the baseball card will be worth $1,072.50.

I hope this helps!

Step-by-step explanation:

Answer:

70 cases will be needed, and with 70 cases, there will be 4 water bottles left over.

Step-by-step explanation:

844 / 12 = 70.333

0.333 = 4 bottles

The correct answer is thus Quantity A is greater. To compare Quantity A (4) and Quantity B (2π).

we need to convert both to a common unit of measurement. As the maximum area of a triangle that can be entirely drawn within a circle with a radius of 2 is 4, it can be concluded that 4 > 2π.

The maximum area of a triangle that can be entirely drawn within a circle with a radius of 2 is 4. This is accomplished by sketching an equilateral triangle with sides equal to the circle's diameter (4).


This triangle's area is 43, which is more than the area of the circle, which is 2. 4 > 2 is the right answer. To maximise the area, the triangle must be equilateral and have sides equal to the diameter of the circle. This guarantees that the triangle's vertices meet the circle, resulting in the greatest possible area.

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The correct question is:

The circle C has a radius of 2.from Quantity A and Quantity B which has greatest possible area of traingle that can be drawn completely within circle C?

The intervals of the function's behavior are given as follows:

The intervals are composed by the values of x that respect each condition, as follows:

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To find the probability as per the given question and the information provided, we can compute it as:

a) By using the Bayes formula, we get:

[tex]P[T0|R1] = \frac{P[R1|T0]P[T0]}{P[R1|T0]P[T0] + P[R1|T1]P[T1] }

\\

= \frac{(1 − 0.99) × 0.75}{(1 − 0.99) × 0.75 + 0.98 × 0.25} \\

= \frac{3}{101} ∼= 0.030.[/tex]

b) An error is bound to happen if T0 ∩ R1 or T1 ∩ R0 occur, that is

[tex]P[error] = P[T0 ∩ R1] + P[T1 ∩ R0] \\ = P[R1|T0] × P[T0] + P[R0|T1] × P[T1] \\ = (1 − P[R0|T0]) × P[T0]

+ (1 − P[R1|T1]) × (1 − P[T0]) \\ = 0.01 × 0.75 + 0.02 × 0.25

\\ =

1

80

∼= 0.013[/tex]

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the event's impossibility and 1 indicates certainty.

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The value of the 5 number summery are minimum 1 , Q1 is 4, median is 4.5, Q2 is 5.5 and Maximum is 6.5

A box plot is a visual representation of the localization, dispersion, and skewness of a collection of numerical data through its quartiles.

The center "box" denotes the group's middle 50% of points. The inter-quartile range is the range of scores from the lower to higher quartile. The interquartile range encompasses the middle 50% of the scores. 75 percent of the scores are lower than the highest quartile.

When doing descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.

The data set (20 datas)

1, 1.5, 2.5, 3, 4, 4, 4.5, 4.5, 4.5, 4.5, 4.5, 5, 5, 5.5, 5.5, 5.5, 6, 6, 6.5, 6.5

The Minimum is 1

The maximum is 6.5

The value of Q1 of first 10 datas = (4 + 4 )/2 = 4

The median of the data set (20 datas) = (4.5+ 4.5)/2 = 4.5

The value of Q2 of second 10 datas = (5.5+ 5.5)/2 = 5.5

The value of the 5 number summery are minimum 1 , Q1 is 4, median is 4.5, Q2 is 5.5 and Maximum is 6.5

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Table A represents a function, but Table B does not represent a function.

Table must meet the following requirements in order to qualify as a function (see the.jpeg picture attached with this response):

The tables below show the values of y corresponding to different values of x: Table A x 3 2 1 y 1 0 0 Table B x 3 5 4 y − 2 1 1

1. Requirement: Each element in the first circle must be linked to at least one element in the second circle.

2. Requirement: There CANNOT be more than one relationship between items in the first circle and those in the second circle.

Table A is in fact a function because it meets BOTH of these requirements.

Table B is not a function since it meets the FIRST criteria but not the SECOND condition.

so

Table A represents a function, but Table B does not represent a function.

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The data set 0, 1, 3, 3, 3, 5, 6 will have the standard deviation.

We are asked to select the sets with the lowest standard deviation. The given sets are

0, 1, 3, 3, 3, 5, 6

0, 25, 50, 100, 125, 150, 1000

0, 1, 2, 3, 4, 5, 6

0, 0, 0, 100, 200, 200, 200

The standard deviation is used to calculate the variability of the data set. It tells us how to spread the data points from the mean value. The standard deviation is the measure of dispersion that tells us about the spread of the data points from the mean value.

In all the options given only in the data given in 0, 1, 3, 3, 3, 5, 6 have all the values near to each other, this data set has less variation between each other. Hence, data set 0, 1, 3, 3, 3, 5, 6 will have the lowest standard deviation.

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The arc length is 18.43 cm and the area of the sector of a circle is 64.53 cm².

The arc is a portion of the circumference of a circle.

The formula for calculating the arc states that:

Arc length = 2πr (θ/360)

Where r = the radius of the circle,

π = pi = 3.14

θ = the angle (in degrees) subtended by an arc at the center of the circle.

360 = the angle of one complete rotation.

A sector of a circle of diameter 14 cm has a central angle of 151°.

Here r = 14/2 = 7 cm, and θ = 151°

Substitute the values in the above formula, and we get

Arc length = 2π(7) (151°/360)

Arc length ≈ 18.43 cm

As we know the area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.

Substitute the values in the formula to get:

Area of sector of a circle = (151°/360) × π(7)²

Area of sector of a circle ≈ 64.53 cm²

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