Area of a triangleFind the area of the triangle below.Be sure to include the correct unit in your answer.ftft?ft24H18 ft12 ftX 5?

Area Of A TriangleFind The Area Of The Triangle Below.Be Sure To Include The Correct Unit In Your Answer.ftft?ft24H18

Answers

Answer 1

Given:

Base b= 18ft

Height h = 4 ft

The area of the triangle = 1/2 bh

\(\begin{gathered} A=\frac{1}{2}\times18\times4 \\ =9\times4 \\ =36ft^2 \end{gathered}\)

Hence, the required answer is 36 ft^2.


Related Questions

Which table represents y as a function of x?
Look at the image! Pls hurry! Due in 15 mins!

Which table represents y as a function of x?Look at the image! Pls hurry! Due in 15 mins!

Answers

Answer:

Top Right!!! hope I answered on time!!

A basket can hold 30 apples. Max has 16 apples. He plans to buy 6 more. Each apple costs $1. After he buys the new ones, how many more apples will the basket hold? The basket can hold more apples after Max buys more.​

Answers

Answer:

He can buy 8 more apples because 16+6=22-30=8

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

draw a circle Q with a quadrilateral WXYZ inscribed in it and where WY goes right through the center Q. If angle XYZ=50 explain how you can find all other angels

Answers

Angle WZY is 50 degrees, angle WZX is also 50 degrees, and angle XZW is 160 degrees.

What is the inscribed angle theorem?

The inscribed angle theorem, also known as the central angle theorem, states that an angle formed by two chords in a circle is half the measure of the arc they intersect, or subtend, inside the circle.

To find all other angles in the circle with quadrilateral WXYZ inscribed in it and WY going through the center Q:

Since WY goes through the center, angle WYZ and angle WXY are both right angles (90 degrees)

By the inscribed angle theorem, angle WZY is equal to half the measure of the arc WX.

Since angle XYZ is given as 50 degrees, the measure of the arc WX is 2 times 50 degrees, which is 100 degrees.

Therefore, angle WZY is 50 degrees.

By the same logic, angle WZX is also 50 degrees.

Since angles WYZ and WXY are right angles, angles XZY and WZX are also right angles.

Finally, we can find angle WZY + angle XYZ + angle XZW + angle WZX = 360 degrees (sum of angles in a quadrilateral), and we can solve for angle XZW which is 160 degrees.

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I need help on 14 and 15.

I need help on 14 and 15.

Answers

Answer:

14  one   15  6

Step-by-step explanation:

What is j in -2 + 9j = 10j + 8

Answers

Answer:

j=-10

Step-by-step explanation:

9j-10=8+2

-j=10

Answer:

j = -10

Step-by-step explanation:

Get j by itself by subtracting 9j from both sides and subtracting 8 from both sides. You are left with -10 = 1j

What is the rule for the reflection?
Ix-axis(x, y) - (-x, y)
ly-axis(x, y) - (-x, y)
Ix-axis(x, y) - (x, y)
ly-axis (x, y) - (x, y)

It’s b

What is the rule for the reflection?Ix-axis(x, y) - (-x, y)ly-axis(x, y) - (-x, y)Ix-axis(x, y) - (x,

Answers

the answer is b thank me later

Helpppp please please THIS IS TIMED NO LINKS or I will report YOUU I WILL MARK BRAINLIEST Please give me an explanation

Helpppp please please THIS IS TIMED NO LINKS or I will report YOUU I WILL MARK BRAINLIEST Please give

Answers

Answer:

14800

Step-by-step explanation:

Area of trapezoid = \(A=\frac{a+b}{2}h\)

Using the formula above, our equation will look like this:

\(\frac{145 + 225}{2} * 80 = 14800\)

145 + 225 = 370

370/2 = 185

185 * 80 = 14800

PLZ GIVE BRAINLIEST

a. Find the vertex form equations (y = a(x - h)2 + k) for the parabolas below.
Assume parameter a = 1.
I
b. Then rewrite the equations in standard form (y = ax + bx + c).
Hint: multiply out your answer from part a.

a. Find the vertex form equations (y = a(x - h)2 + k) for the parabolas below.Assume parameter a = 1.Ib.

Answers

Answer:

y=-(x+3)^2

y=-x^2-6x-9

Step-by-step explanation:

i uh hope this is correct

hope thia helps <3

a. Find the vertex form equations (y = a(x - h)2 + k) for the parabolas below.Assume parameter a = 1.Ib.

PLS HELP ASAP
I AM SO CONFUSED WID THIS!
The numbers 1-20 are written on pieces of paper and put in a box. Two pieces of paper are randomly selected and not replaced.

a) Are the events dependent or independent? _________

b) What is the probability of selecting a number less than 6 both times? ________

Answers

the probability of selecting a number less than 6 both times is 1/19 or approximately 0.0526.

how to find probability ?

a) The events are dependent because the selection of the first number affects the probability of selecting a number less than 6 on the second draw.

b) To calculate the probability of selecting a number less than 6 both times, we need to first find the probability of selecting a number less than 6 on the first draw and then the probability of selecting a number less than 6 on the second draw given that a number less than 6 was selected on the first draw.

The probability of selecting a number less than 6 on the first draw is 5/20, or 1/4, since there are 5 numbers less than 6 (1, 2, 3, 4, and 5) out of 20 total numbers.

Given that a number less than 6 was selected on the first draw, there are only 4 numbers less than 6 left in the box out of a total of 19 remaining numbers. So, the probability of selecting a number less than 6 on the second draw is 4/19.

To find the probability of both events occurring, we multiply the probabilities:

P(selecting a number less than 6 both times) = P(selecting a number less than 6 on the first draw) × P(selecting a number less than 6 on the second draw given that a number less than 6 was selected on the first draw)

P(selecting a number less than 6 both times) = (1/4) × (4/19) = 1/19

Therefore, the probability of selecting a number less than 6 both times is 1/19 or approximately 0.0526.

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The stemplot shows the snowfall, in inches, in US cities during December.

Use this graphic to answer the question.

Use the drop-down menus to complete the statements about the snowfall amounts shown in the stemplot.

This distribution of snowfall amounts is
. There appears to be one outlier in snowfall amount at
inches.

The stemplot shows the snowfall, in inches, in US cities during December.Use this graphic to answer the

Answers

This distribution of snowfall amounts is skewed to the right

When are data skewed to the right

Data is said to be skewed to the right or positively skewed, when the tail of the distribution extends more towards the right side of the data. This means that there are a few larger values or outliers that pull the mean or median towards the higher end of the scale, resulting in a longer tail on the right side of the distribution.

In a positively skewed distribution majority of the data is concentrated towards the lower values.

Considering the stemplot the majority of the data is in the lower values

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Answer:

to the second part

18.7 inches

Suppose that for each foot of land along a street, the
annual tax is $12 per foot. The diagram below shows a
plot of land.
800
46 ft
28 At
A
Street
Approximately, how much is the annual tax for the plot?

Suppose that for each foot of land along a street, theannual tax is $12 per foot. The diagram below shows

Answers

The annual tax for the plot based on the triangle and the side lengths is $1488

How to determine how much is the annual tax for the plot?

From the question, we have the following parameters that can be used in our computation:

Annual tax per foot = $12

Shape of the land = Triangle

Parameters of the triangle are represented as

Angle between sides = 80 degrees

Sides = 46 ft and 28 ft

The side represented as "Street" is calculated as

Street = The square root of Sum of the squares of the other sides - 2 * the product of the other sides * the cosine of the angle between them

Mathematically, this is represented as

Street = √46² + 28² - 2 * 46 * 28 * cos(80)

Evaluate

Street = 50

So, the perimeter of the land is

Perimeter = 50 + 46 + 28

Perimeter = 124 foot

Recall that:

Annual tax per foot = $12

So, we have

Yearly annual tax per foot = $12 * 124

Evaluate

Yearly annual tax per foot = $1488

Hence, the yearly annual tax per foot = $1488

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{ first 6 square numbers}​

Answers

Answer:

{ 1, 4, 9 , 16 , 25, 36}

Step-by-step explanation:

hope that will help you

The instructions for mixing a rose fertilizer call for 3/8 cup of potash and 1 3/4 cups of nitrogen. What is the ratio of nitrogen to potash?

Answers

Answer:

7/4 : 3/8

Step-by-step explanation:

nitrogen =1 3/4 =7/4

potash= 3/8

help me with my work

Answers

ANSWER

Line segments AB and DE are congruent.

EXPLANATION

We are given that triangles ABC and DEF are congruent.

When two triangles are congruent, the corresponding sides and angles are congruent.

This means that:

\(\begin{gathered} and\(\begin{gathered} AB=DE \\ BC=EF \\ AC=DF \end{gathered}\)

Therefore, the only correct option is that line segments AB and DE are congruent.

domain and range A) D: (–7, –2], (–1, 3] R: (–10, 9.2] B) D: [–7, –2], [–1, 3] R: [–10, 9.2] C) D: (–7, 3] R: (–10, 9.2] D) D: (–7, –2), (–1, 3) R: (–10, 9.2)

domain and range A) D: (7, 2], (1, 3] R: (10, 9.2] B) D: [7, 2], [1, 3] R: [10, 9.2] C) D: (7, 3] R:

Answers

Answer:

\(\Large \boxed{\mathrm{C) \ D: (-7, 3] \ R: (-10, 9.2]}}\)

Step-by-step explanation:

The domain is the set of all possible x values.

The range is the set of all possible y values.

For the domain, we observe the graph, the graph will contain all the x values shown on the x-axis.

\(\mathrm{D= (-7,3] }\)

For the range, we observe the graph, the graph will contain all the y values shown on the y-axis.

\(\mathrm{R= (-10,9.2] }\)

domain and range A) D: (7, 2], (1, 3] R: (10, 9.2] B) D: [7, 2], [1, 3] R: [10, 9.2] C) D: (7, 3] R:

Rocky Mountain National Park is a popular park for outdoor recreation activities in Colorado. According to U.S. National Park Service statistics, 46.7% of visitors to Rocky Mountain National Park in 2018 entered through the Beaver Meadows park entrance, 24.3% of visitors entered through the Fall River park entrance, 6.3% of visitors entered through the Grand Lake park entrance, and 22.7% of visitors had no recorded point of entry to the park.† Consider a random sample of 175 Rocky Mountain National Park visitors. Use the normal approximation of the binomial distribution to answer the following questions. (Round your answers to four decimal places.)
(a) What is the probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance?
(b) What is the probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance?
(c) What is the probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance?(d) What is the probability that more than 55 visitors have no recorded point of entry?

Answers

Answer:

a) 0.6628 = 66.28% probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance

b) 0.5141 = 51.41% probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance

c) 0.5596 = 55.96% probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance.

d) 0.9978 = 99.78% probability that more than 55 visitors have no recorded point of entry

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\).

In this problem, we have that:

\(n = 175\)

(a) What is the probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance?

46.7% of visitors to Rocky Mountain National Park in 2018 entered through the Beaver Meadows. This means that \(p = 0.467\). So

\(\mu = E(X) = np = 175*0.467 = 81.725\)

\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.467*0.533} = 6.6\)

This probability, using continuity correction, is \(P(X \geq 85 - 0.5) = P(X \geq 84.5)\), which is 1 subtracted by the pvalue of Z when X = 84.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{84.5 - 81.725}{6.6}\)

\(Z = 0.42\)

\(Z = 0.42\) has a pvalue of 0.6628.

66.28% probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance.

(b) What is the probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance?

Using continuity correction, this is \(P(80 - 0.5 \leq X <  90 - 0.5) = P(79.5 \leq X \leq 89.5)\), which is the pvalue of Z when X = 89.5 subtracted by the pvalue of Z when X = 79.5. So

X = 89.5

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{89.5 - 81.725}{6.6}\)

\(Z = 1.18\)

\(Z = 1.18\) has a pvalue of 0.8810.

X = 79.5

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{79.5 - 81.725}{6.6}\)

\(Z = -0.34\)

\(Z = -0.34\) has a pvalue of 0.3669.

0.8810 - 0.3669 = 0.5141

51.41% probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance

(c) What is the probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance?

6.3% of visitors entered through the Grand Lake park entrance, which means that \(p = 0.063\)

\(\mu = E(X) = np = 175*0.063 = 11.025\)

\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.063*0.937} = 3.2141\)

This probability, using continuity correction, is \(P(X < 12 - 0.5) = P(X < 11.5)\), which is the pvalue of Z when X = 11.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{11.5 - 11.025}{3.2141}\)

\(Z = 0.15\)

\(Z = 0.15\) has a pvalue of 0.5596.

55.96% probability that fewer than 12 visitors had a recorded entry through the Grand Lake park entrance.

(d) What is the probability that more than 55 visitors have no recorded point of entry?

22.7% of visitors had no recorded point of entry to the park. This means that \(p = 0.227\)

\(\mu = E(X) = np = 175*0.227 = 39.725\)

\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{175*0.227*0.773} = 5.54\)

Using continuity correction, this probability is \(P(X \leq 55 + 0.5) = P(X \leq 55.5)\), which is the pvalue of Z when X = 55.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{55.5 - 39.725}{5.54}\)

\(Z = 2.85\)

\(Z = 2.85\) has a pvalue of 0.9978

0.9978 = 99.78% probability that more than 55 visitors have no recorded point of entry

1. Define: Denominator

Answers

Answer:

This is an arithmetic fraction written under the line that indicates the equal part, the divisor.

Step-by-step explanation:

Answer:denominator is the lower part of a fraction.

Step-by-step explanation:

Feel pleasure to help u...

please help! (listing BRAINLIST and giving points) ​ :)​

please help! (listing BRAINLIST and giving points) :)

Answers

Answer:

Tan B = 12/5

Sin B = 12/13

Cos B = 5/13

Step-by-step explanation:

sine B =  opposite (12)/hypotenuse (13)

          = 12/13

Cosine B = adjacent/hypotenuse

               = 5/13

Tangent B = opposite/adjacent

                 = 12/5

Here is a picture that can always help you with the three trig ratios.

please help! (listing BRAINLIST and giving points) :)

What are the odds of winning a game, if the probability of winning the game is 3/11 ?

Answers

Step-by-step explanation:

We can express 3/11 as odds by saying "3 in 11". Therefore, you have a 3 in 11 chance of winning. Hope this helps!

If trapezoid JKLM is translated using the rule (x, y) → (x + 3, y − 3) and then translated using the rule (x, y) → (x − 1, y + 1) to create trapezoid J″K″L″M″, what is the location of L″?

If trapezoid JKLM is translated using the rule (x, y) (x + 3, y 3) and then translated using the rule

Answers

The location of L″ is (-5, 0).

To find the location of L″, we first need to apply the first translation rule to the coordinates of trapezoid JKLM:

J': (x, y) → (x + 3, y - 3) => J'(-2+3, 1-3) = J(1, -2)

K': (x, y) → (x + 3, y - 3) => K'(1+3, 1-3) = K(4, -2)

L': (x, y) → (x + 3, y - 3) => L'(3+3, -2-3) = L(6, -5)

M': (x, y) → (x + 3, y - 3) => M'(-4+3, 2-3) = M(-1, -1)

Now, we need to apply the second translation rule to the coordinates of J', K', L', and M':

J'': (x, y) → (x - 1, y + 1) => J''(1-1, -2+1) = J''(0, -1)

K'': (x, y) → (x - 1, y + 1) => K''(4-1, -2+1) = K''(3, -1)

L'': (x, y) → (x - 1, y + 1) => L''(6-1, -5+1) = L''(5, -4)

M'': (x, y) → (x - 1, y + 1) => M''(-1-1, -1+1) = M''(-2, 0)

Therefore, the location of L″ is (-5, 0).

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Answer:

(5,-4)

Step-by-step explanation:

find the 46th term 261 256 251

Answers

Answer:

36

Step-by-step explanation:

The numbers given represent an arithmetic series with a common difference of -5. The formula to find the nth term of an arithmetic sequence is:

a + (n - 1)d

where a is the first term and d is the common difference. We can substitute our values in:

261 + (46 - 1)(-5)

261 + (45)(-5)

261 + (-225)

36

Answer:

36

Step-by-step explanation:

Have a good day :)

2. How many radians are in 27"?

Answers

The answer is 0.471 radians.


FORMULA:

Just do 27° × π/180 = 0.4712rad but then cut off the two.

A normally distributed data set has a mean of 0 and a standard deviation of 0.5. Which is closest to the percent of values between –1 and 1?


34%


50%


68%


95%

Answers

As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

What is equation?

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.

Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

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Jaelyn uses 3 3/4 cups of flour to make 5 batches of pancakes. How many cups of flour she need to make 1 batch?


NO ANSWERS IN UNKNOWN SITES PLEASE OR I'LL REPORT IT!!!

Answers

Answer:

3/4

Step-by-step explanation:

Divide 3 3/4 by 5. 3 3/4 as an improper fraction is 15/4. 15/4 * 1/5 (divided by 5) is 3/4. :D dont report me

Anyone know the answer to this ​

Anyone know the answer to this

Answers

Answer:

x=112

Step-by-step explanation:

First, let's get all of the fractions to a common denominator.

Based on the numbers given (8,56, and 7), let's make all of the denominators be 56

for \(\frac{-7}{8} x\), multiply the numerator and denominator by 7.

\(\frac{-7x}{8}\)×\(\frac{7}{7}\)= \(\frac{-49}{56} x\)

we can leave \(\frac{-5}{56}x\) as it is

and for \(\frac{1}{7} x\), we cam multiply the numerator and denominator by 8

\(\frac{1x}{7}\)×\(\frac{8}{8}\)=\(\frac{8x}{56}\)

Here's the equation now:

\(\frac{-49x}{56}\)-\(\frac{5x}{56}\)+\(\frac{8x}{56}\)=-92

now simlify the fractions

numerators:

-49x-5x+8x=-46x

here's the fraction now:

\(\frac{-46x}{56}\)=-92

We can simplify the fraction by 2 so it's \(\frac{-23x}{28}\)

\(\frac{-23x}{28}\)=-92

now multiply both sides by \(\frac{28}{-23}\), which is the reciprocal of \(\frac{-23}{28}\) (to isolate the variable)

\(\frac{28}{-23}\)×\(\frac{-23x}{28}\)=-92×\(\frac{28}{-23}\)

\(\frac{-92*28}{-23}\)

x=112

Hope this helps!

Answer:

x = 112

Step-by-step explanation:

The common denominator is 56 because 8*7 is 56

\(-\frac{7*7*x}{8*7} -\frac{5*x}{56}+\frac{8*x}{56} = - 92 \\-\frac{49*x}{56} -\frac{5*x}{56}+\frac{8*x}{56} = - 92 \\\frac{-46*x}{56}=-92\)

Multiply both sides by 56

-46*x = -92 * 56

-46*x = -5152

Divide by - 46

x = -5152/-46

x = 112

Need with help this question anyone takers

Need with help this question anyone takers

Answers

Answer:

1) domain = { 0,1,2,8}

range = { 3,4,5,7}

2)

a. function because each element of set A is associated with unique element of set B

b. function because each element of set A is associated with unique element of set B

c. not function because same elements are repetated

Answer:

1. Domain: {2,1,0,8}

Range: {5,3,7,4}

2. A

Step-by-step explanation:

Need with help this question anyone takers
Need with help this question anyone takers

The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?

The graph compares the weights in pounds of 100 dogs and cats that are brought into a veterinarian's

Answers

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

3 to the power of 5 = 243. Explain how to use that fact to quickly evaluate 3 to the power of 6

Answers

Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

Least to greatest 0.4, 5/8, 74%, 3/5

Answers

Answer:

0.4,3/5,5/8,74%

Step-by-step explanation:

Change them all into decimals.

Get 0.4,0.625,0.74,0.6

Then reorder and see what their original values were

2 plus to 4 plus for 8 plus ate

Answers

According to the given data the value is 22.

What is meant by addition?

Addition is a basic mathematical operation that involves combining two or more numbers to get a total or sum. It is typically denoted by the symbol "+" and can be performed on a variety of numerical values, including whole numbers, decimals, fractions, and even negative numbers.

According to the given information:

The value of the addition for 2+4+8+8=22

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dido's aria is in two sections. which text line begins the second section? Give the digits in the thousands place and the tens place. 7195 What effect do the words with strong connotations have on this passage? I don't know what to fill out here. There is no instructions. straightforward ones someone please help me out need help with this question Please select the word from the list that best fits the definition identifying which books have romantic or heroic themes A team of engineers is doing a cost-benefit analysis to determine whetherthey should develop new technology. What are two risks to human health theyshould include in their analysis? Define the following terms:1. Mean 2. Median3. Mode4. Range Assign offerPointer with the address of the higher offer. If the offers are the same, then assign offerPointer with nullptr. Ex: If the input is 149.0 153.5, then the output is: 153.5 is the higher offer. 1 #include 2 #include 3 using namespace std; 4 5 int main() { 6 double offer1; double offer2; double* offerPointer; 10 cin >> offer1; 11 cin >> offer2; 12 13 /* Your code goes here */ 14 6789 2 B45 6 7 15 if (offerPointer == nullptr) { cout offer1; cin >> offer2; /* Your code goes here */ if (offerPointer == nullptr) { cout Please write a summary for the passage above. Questions:1.What was the difference between Freedman and slaves?2.What was the role of a Senator in the social hierarchy?3.Which group made up the majority of people in Rome? What roles did these people typically hold? Diary Entry you have decided to take a gap-year and you want to inform your parents about your decisions . Curite Two diary entries expressing how you felt . One entry must reflect on how you felt Before and the other AFTER you informed them of your decision (so-loo Triangle PQR has vertex coordinates at P(4, 0), Q(4, 3), R(5, 1). If the triangle is translated so that Q(4, 5), determine the translation direction and number of units. A: 8 units down B: 8 units up C: 8 units to the right D: 8 units to the leftThanks! What fraction has adenominator of 30 andwhen it is simplified itbecomes ? For the light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by water. Ethyl alcohol, Water, and carbon disulfide. Find the mixed number equivalent to the improper fraction 22/6 Cynthia got a new employer-paid job through the Smith Recruitment Agency. The jobpays $90,000 per year, and the agency fee is equal to 13% of 1 year's pay. How muchmust Cynthia's employer pay the recruitment agency?a. 10,700b.11,700c.12,700d.13,700 Match the following Physical quantities with the appropriate unit. AMomentum[Choose ][Choose ]JouleImpulse g/cmPotential Energy g/mLkg. m/s WattNewtonkg. m/s^2N.sDensityPower [Choose ]Power [Choose] Garcia Company makes 2,500 parts each year that are used in one of its products. The unit product cost of this part is: $ Variable manufacturing cost Fixed manufacturing cost 8.00 7.50 Total unit product cost $ 15.50 The part can be purchased from an outside supplier for $10.50 per unit. If the part is purchased from the outside supplier, two-thirds of the fixed manufacturing costs can be eliminated. What would be the financial advantage or disadvantage of purchasing the parts from the outside supplier? Robert experienced bradycardia or slowing of the heart rate after using certain eye drops prescribed to him for his glaucoma. He is suffering from what