Darren made a display board in the shape of a trapezoid.


Part A


The height of the trapezoid is half the length of the shorter base, and the longer base is twice the length


of the shorter base.


4 yd


2 yd


2 yd


b


What are the lengths of the height and the longer base? Enter your answers in the boxes.


h =


yd


b=


yd


Part B


Use the measurements from Part A to find the area of Darren's display board.


o 8 yd?


12 yd?


O 16 yd


24 yd2

Answer:

1:2

Step-by-step explanation:

2:4 can be simplified by dividing by 2

The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.

The given value, "a truck with a length of 20 feet," is an example of a continuous data set.

Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.

In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).

For more such questions on continuous data

https://brainly.com/question/17141874

#SPJ4  

Answer:

1/3 and 1/4

Step-by-step explanation:

For the first question, both 3 and 6 work for multiple of 3

There are 6 possible options so the probability is 2/6 or 1/3

Second Question, there are 8 total letters and 2 vowels

The probability is 2/8 or 1/4

Answer:

\(\sf\longmapsto \: 13.79%\)

Step-by-step explanation:

A solution is made by dissolving 24 millimeters of saline in 150 millimeters of pure solution.

Therefore, percent of saline in the pure solution can be calculated as follows:

\(\sf\longmapsto \frac{24}{24} +150 × 100\)

\(\sf\longmapsto \frac{24}{174} \times 100\)

\(\sf\longmapsto \: 0.1379 \times 100\)

\(\sf\longmapsto13.79%\)

Answer:

Step-by-step explanation:

The volume of the solution:

Percent of saline in the solution:

Answer:

7/11

Step-by-step explanation:

I could tell it was either 7/11 or 9/13 because I knew 2/3 was .666 and the other one 5/12 is less than half, so it'd be less than .5.

7/11 = .6363

9/13= .6969

7/11 is the closest

Answer:

60 :)

Step-by-step explanation:

The middle two numbers are 59 and 61 so you add them together and divide by 2.

Answer:

13

Step-by-step explanation:

Since Seth pays $0.50 for each check he writes, he would write (let x be how many checks Seth wrote) "x" checks for $6.50. That means;

1 = 0.50

x = 6.50

Now let us set up a fraction:

\(\frac{0.5}{1}=\frac{6.5}{x}\)

Step 1: Cross multiply

\(0.5x=1\cdot \:6.5\)

\(0.5x=6.5\)

Step 2: Divide both sides by \(0.5\)

\(\frac{0.5x}{0.5}=\frac{6.5}{0.5}\)

Simplify

\(x=13\)

Therefore, Seth will write 13 checks for $6.50

Answer:

560

Step-by-step explanation:

You subtract 439 from 999 and you get the left over tickets that were sold over the weekend

Answer:

x=5

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

By using linear equation, the patrick is 12 years old and pat is 29 years old.

We take variable x to find out their present age.

The fundamental equation used to represent and solve for an unknown quantity is a linear equation in one variable. It is always a straight line, and it is simply shown graphically. A mathematical statement is simply represented by a linear equation. Unknown amounts can be symbolised or represented by any variable. There are a few straightforward procedures for solving linear equations. To determine the final value of the unknown quantity, the constants are isolated to one side of the equation and the variables are isolated to the other side.

Let the age of patrick is 'x'. so the age of his father pat be 'x + 17'.

After 5 years, partrick's age will be 'x + 5'

And his father pat age will be x + 17 + 5 = 'x + 22'

After 5 years pat age will e twice of patrick age.

So that 2(x + 5) = x + 22

⇒ 2x + 10 = x + 22

⇒ 2x - x = 22 - 10

⇒ x = 12

So that the patrick is 12 years old and pat is 29 years old.

To learn ore about linear equation visit:

brainly.com/question/11897796

#SPJ1

Answer:

see below

Step-by-step explanation:

sine typically intercept at (0,0)

cosine starts at an intercept on Y

The graphs of sine and cos trigonometric functions differ by the waves. The graphs are plotted.

What is trigonometric function?

Simply put, trigonometric functions also referred to as circular functions are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle.

A positive cosine trigonometric function graph starts at maximum value, descends to minimum value, and then rises back to maximum value.

When a graph is negative cosine, it starts at the minimum, climbs to the maximum, and then descends back to the minimum.

For a positive sine trigonometric function graph, the graph starts at the midline, rises to the maximum, descends to the midline again until it reaches the minimum, then rises to the midline again to finish.

In the case of a negative sine graph, the graph starts at the midline, descends to the minimum, then ascends to the midline once again until it reaches the maximum, before returning to the midline where it started.

Therefore, graphs of sine and cos differ with respects to wave formed.

To learn more about trigonometric function from the given link

https://brainly.com/question/25618616

#SPJ4

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Since I like hot weather, I would rather go to Rome with a temperature 27-degree c than to Majorca with an average temperature of 80F.

The temperature is converted from Celsius to Fahrenheit using this formula. Scales of temperature offer a means of determining how warm or frigid a body is. Temperature scales include Celsius and Fahrenheit. The Formula of celsius to Farhenhite is  F= 9/5×C+ 32.

To compare the temperatures of both the places, we will first convert them to similar Units so that the comparison becomes easy. We will Change both the units to the Farhenhite unit as follows.

The temperature of Rome:

F = 9/5×27+32

F= 80.6

Therefore the temperature of Majorca is 80F and that of Rome is 80.6. More temperature means more hot weather. Therefore Roma will be hotter in August than Majorca.

To know more about Temperature Conversion, Visit:

https://brainly.com/question/13421795

#SPJ4

Answer:

Sum of exterior angle of polygon=360

Each exterior angle of polygon =24

Number of sides of polygon=\frac{360}{24}  

24

360

​  

=15

=> Number of sides of polygon with each angle of 24 is 15.

Step-by-step explanation:

≈ 63.30 ft²

Heron formula

A = √p(p - a)(p - b)(p - c)

a = 9 ; b = 15 ; c = 20

p = (a + b + c)/2 = (9 + 15 + 20)/2 = 44/2 = 22

A = √22(22-9)(22-15)(22-20)

= √22×13×7×2

= √4004

≈ 63,27

≈ 63.30 ft²

The best description of the probability of drawing a king from the deck is 1 out of 13, or 1/13.

The probability of drawing a king from a standard deck of 52 playing cards can be determined by dividing the number of favorable outcomes (number of kings) by the total number of possible outcomes (total number of cards in the deck).

In a standard deck, there are 4 kings (one king for each suit: hearts, diamonds, clubs, and spades). Therefore, the number of favorable outcomes is 4.

The total number of possible outcomes is 52 (the total number of cards in the deck).

So, the probability of drawing a king is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 52

Simplifying the fraction gives us:

Probability = 1 / 13

Know more about probabilityhere:

https://brainly.com/question/31828911

#SPJ11

The answers to all the subparts are:

So, the reason for rational or irrational numbers:

(A) 0.21

It is a rational number as it can be represented in fractions.

(B) 3/12

It is a rational number as it is in fractions.

(C) 4.125

It is a rational number as it can be represented in fractions.

(D) 8⅒

It is a rational number as it can be represented in fractions.

(E) π/3.14/(22/7)

It is a rational number as it can be represented in fractions.

Therefore, the answers to all the subparts are:

Know more about rational numbers here:

https://brainly.com/question/28622954

#SPJ13

The speed at which the red car is actually traveling along the road is 90 feet per second.

A red car is driving along the road in the direction of the police car and is 180 feet up the road from the location of the police car.

The police radar reads that the distance between the police car and the red car is decreasing at a rate of 90 feet per second.

Therefore, the speed at which the red car is actually traveling along the road is 90 feet per second.

Summary: The speed at which the red car is actually traveling along the road is 90 feet per second.

Learn more about speed click here:

https://brainly.com/question/13943409

#SPJ11

The height of the special price tag is 3 inches.

We have,

To find the height of the special price tag, we need to use the formula for the area of a rectangle:

Area = length x width

In this case,

We know the width is 2.5 inches and the area is 7.5 square inches.

Let h be the height of the tag, then we can write:

7.5 = h x 2.5

To solve for h, we divide both sides by 2.5:

h = 7.5 ÷ 2.5

h = 3

Therefore,

The height of the special price tag is 3 inches.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ1

The work done by the gas during the isothermal expansion is 331.32 J.

Isothermal Expansion refers to a process in which the temperature of a system stays constant while the volume increases. In this process, an ideal gas expands from 1.1 m³ to 1.8 m³, and the gas constant is R = 8.314 J/(mol K).

The work done by the gas during the isothermal expansion can be calculated as follows:Answer:During an isothermal process, the change in internal energy of the system is zero since the temperature remains constant.

Therefore,ΔU = 0The first law of thermodynamics is given by:ΔU = q + w

where q is the heat absorbed by the system, and w is the work done on the system.Since ΔU = 0 for an isothermal process, the above equation reduces to:w = -q

During an isothermal process, the heat absorbed by the system is given by the equation:q = nRTln(V₂/V₁)Where, n is the number of moles, R is the gas constant, T is the temperature, V₁ is the initial volume, and V₂ is the final volume.

Substituting the given values, we have:q = (1 mol) × (8.314 J/(mol K)) × (293 K) × ln(1.8 m³ / 1.1 m³)q = 331.32 J

Therefore, the work done by the gas during the isothermal expansion is given by:w = -qw = -(-331.32 J)w = 331.32 J

Thus, the work done by the gas during the isothermal expansion is 331.32 J.

Know more about Isothermal Expansion here,

https://brainly.com/question/30329152

#SPJ11

Answer:

5:35 p.m.

Step-by-step explanation: Just add 25 to 5:10

Answer:

A

Step-by-step explanation:

Answer:

\(2x^6y^2\)

Step-by-step explanation:

Step 1: simplify integers in expression

\(\frac{12x^{9}y^{4}}{6x^{3}y^{2}} = \frac{2x^{9}y^{4}}{x^{3}y^{2}}\)

Step 2: simplify x terms

\(\frac{2x^{9}y^{4}}{x^{3}y^{2}} = \frac{2x^{6}y^{4}}{y^{2}}\)

Step 3: simplify y terms

\(\frac{2x^{6}y^{4}}{y^{2}} = 2x^6y^2\)

To solve this equation, we need to isolate the variable 's' on one side of the equation. First, we can divide both sides of the equation by 3.14 to get: s = 81.012 / 3.14. The solution to the equation is s = 25.81.

Using a calculator, we can simplify the right-hand side of the equation to get:

s ≈ 25.77

Therefore, the solution to the equation 3.14 x s = 81.012 is s ≈ 25.77. It is important to remember to always show the steps of our calculations when solving equations, especially in math.

To solve the given equation 3.14 x s = 81.012 (where x represents multiplication), we need to find the value of s. Follow these steps:

1. Write down the equation: 3.14 * s = 81.012
2. To isolate s, divide both sides of the equation by 3.14:
  s = 81.012 / 3.14
3. Perform the division to find the value of s:
  s = 25.81

So, the solution to the equation is s = 25.81.

Learn more about variable at: brainly.com/question/17344045

#SPJ11

The correct equation is p - 53 = 118.

⇒ p - 53 = 118

Therefore, the correct equation is p - 53 = 118.

Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.

Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

$6.35

Step-by-step explanation:

10 quarters =

10 × .25 = $2.50

17 dimes =

17 × .10 = $1.70

40 nickels =

40 × .05 = $2.00

15 pennies =

15 × .01 = $0.15

2.50+1.70+2.00+.15

= 6.35

The total is $6.35.

Answer:

144 in internal angle

Step-by-step explanation: