Find the area. Round to the nearest tenth.
6 ft
3 ft
12.16 ft
9.16 ft

Find The Area. Round To The Nearest Tenth.6 Ft3 Ft12.16 Ft9.16 Ft

Answers

Answer 1

Answer:

100.5 ft^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w

A = 12.16 * 6

A =72.96 ft^2

Then find the area of the triangle

A = 1/2 bh

The base is 12 ft - 6ft = 6ft

The height is 9.16 ft

A = 1/2 ( 9.16) * 6

A = 27.48 ft^2

Add them together

27.48+72.96

100.44 ft^2

Round to the nearest tenth

100.5 ft^2

Answer 2

Answer:

[tex]\huge \boxed{\mathrm{100.4 \ ft^2 }}[/tex]

Step-by-step explanation:

To find the area of the shape, we can add the area of the rectangle with the area of the triangle.

Area of rectangle :

base × height

6 ft × 12.16 ft

72.96 ft²

Area of triangle :

base × height × 1/2

(12 ft - 6 ft) × 9.16 ft × 1/2

6ft × 9.16 ft × 1/2

27.48 ft²

Adding the areas.

72.96 ft² + 27.48 ft²

100.44 ft²

≈ 100.4 ft² (rounded to nearest tenth)


Related Questions

PLEASE HELP! 20 POINTS 1) A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the function H(t)=−4.9t2+25t+2. What is the height of the ball at each second from 0 to 5? (I'll put a picture of the graph.) 2) Which expression could represent the height of a soccer ball as it is in the air after being kicked? (This is part 2 to question 1) A. −16t+9 B. −16t2+4t3 C. 9t2+25t D. −16t2+25t+1

Answers

Answer:

a or b

Step-by-step explanation:

it just looks like b or a

H(t) = -4.9t^2 + 25t + 2

Height is a function of time

plug in 0, 1,2,3,4, and 5 to find the height at 0, 1,2,3,4, and 5 seconds.

at t = 0

H(0) = -4.9(0)^2+25(0) + 2 = 2 meters

Repeat for T=1,2,3,4 and 5

Notice the ball peaks around t = 3 seconds and starts to descend.  

H(1) = (-4.9)(1^2) + 25(1) + 2 = 22.1 meters

H(2) = (-4.9)(2^2)+25(2)+2=32.4 meters

H(3) = 32.9 meters

H(4) = 23.6 meters

H(5) = 4.5 meters

an equation uses the symbol

Answers

Answer:

The '=' sign.

Step-by-step explanation:

The equals sign ( = ). for example:

3x + 1 = 8.

The  equals sign was invented by Robert Recorde of Tenby, South Wales, UK in the early part of the 16th century.

Triangle Q M N is shown. The length of Q M is 18, the length of M N is 17, and the length of Q N is 20. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleQ to the nearest whole degree? 43° 49° 53° 58°

Answers

The measure of angle Q in the triangle QMN is 52.83°

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

For a triangle with sides a, b, c and respective opposite angles A, B, C, cosine rule is:

a² = b² + c² - 2bc * cos(A)

In triangle QMN, QM = 18, MN = 17, QN = 20, hence:

17² = 18² + 20² - 2(18)(20) * cos(Q)

Q = 52.83°

The measure of angle Q in the triangle QMN is 52.83°

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Answer:

53

Step-by-step explanation:

its rounded

70 POINTS! PLEASE HELP! Explain the difference between the following equation formats: Slope-Intercept, Point-Slope and Standard

Answers

Answer and Step-by-step explanation:

1.  slope intercept

2.  point-slope form

3.  standard

Explanation:

1.   A slope intercept form equation is when it's set up as y = m x + b

m = slope  

b = y-intercept

2.   A point-slope form is when a line passes through a point

and the equation is set up as  y −b = m ( x−a)

m = slope

(a, b) A point that the line passes through

3. standard lope form is when the equation is set up as

Ax + By = C




-
What is the product?
(-3s +2)(4s-1)

Answers

Answer: -12s + -2

Step-by-step explanation: You need to combine the like terms so -3sx4s = -12s and 2+-1 = -2 so it’s -12s + -2 or -12s - 2

Answer:

-12s²+11s-2

Step-by-step explanation:

(-3s+2)(4s-1)

First you have to FOIL (First, inner, outter, last)

First: -3s × 4s

Inner: -3s × -1

Outter: 2 × 4s

Last: 2 × -1

Now you should have -12s² + 3s + 8s -2

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

Next you combine your like terms

Finally you have your answer, -12s²+11s-2 .

Kapil deposited Rs. 1600 in a bank on 1st January 2005. Find the amount in his bank account on 1st January 2006, if the bank pays interest at 8% per annum and the interest is calculated every year on 30th June and 31st December.

Answers

Answer:

SI=PRT/100

=10000*5*42/12*100

=1750

SI=1750

TOTAL AMOUNT=PRINCIPLE+SI

=10000+1750

=101750

PLS HELP I WILL MARK BRAINLIST AND GIVE YOU A THANK YOU

Answers

Answer:

C

Step-by-step explanation:

Since the marked angles are vertical angles, they are congruent, meaning that they have the same angle measure. Therefore, the answer is 10x = 150.

I’m pretty sure it’s C

Help with this find the image of (1 ,2) after a reflection about y=x followed by a reflection about y=-x

Answers

Answer: (-1, -2)

Step-by-step explanation:

so at first you have (1, 2)

then you were asked to reflect about y=x which is (x, y) = (y, -x)

(1, 2) = (2, -1)

then followed by y=-x which is (x, y) = (-y, -x)

(2, -1) = (-1, -2)

I hope this helps!

The sum of the ages of Noi's and Noy's is 26 years. The different between four times Noi's age and two times Noy's age is 28 years. Find the age of Noi and Noy.

WRITE AS AN EQUATION​

Answers

Answer:

The age of Noi is 13.333 Years and the age of Noy is 12.67 years

Step-by-step explanation:

The given  information are;

The sum of the ages of Noi and Noy = 26 years

Four times Noi's age - Two times Noy's age = 28

Let the age of Noi = X and let the age of Noy = Y

We have;

X + Y = 26 years.................(1)

4X - 2Y = 28 years.............(2)

Divide equation (2) by 2 to get;

(4X - 2Y)/2 = (28 years)/2 which gives;

2X - Y = 14 years.................(3)

Add equation (3) to equation (1), to get;

X + Y +  2X - Y = 26 years + 14  years

3X = 40 years

X = 40/3 = 13.333 Years

From equation (1), X + Y = 26 years, therefore;

Y = 26 - X = 26 - 13.33 = 12.67 years

Therefore, the age of Noi = 13.333 Years and the age of Noy = 12.67 years.

make u the subject of the formula
u-x/v-x=u/v²​

Answers

Answer:

See below.

Step-by-step explanation:

[tex]\frac{u-x}{v-x}=\frac{u}{v^2} \\[/tex]

Cross multiply and distribute.

[tex]u(v-x)=v^2(u-x)\\uv-ux=uv^2-xv^2[/tex]

Move all the u to the left side:

[tex]uv-ux-uv^2=-xv^2[/tex]

Factor out a u:

[tex]u(v-x-v^2)=-xv^2[/tex]

Divide:

[tex]u=\frac{-xv^2}{v-x-v^2}=\frac{xv^2}{x+v^2-v}[/tex]

(I factored out a negative in the second term.)

Which type(s) of symmetry does the following object have?
Select all that apply.

Answers

Answer: You are correct. There is only one answer and that is choice B) vertical line of symmetry.

We can draw a vertical line through the center to have one half mirror over this line to get the other half. We can't do the same with a horizontal line or any other kind of line.

We do not have rotational symmetry. Rotating the figure will produce an image different from the original. The angle of rotation is some angle x such that 0 < x < 360.

Answer:

Theres more than one answer so b and a

Step-by-step explanation:

Will someone please help me with this problem!! **It's multiple choice!

Answers

A = (-7,-6)

B = (8,-9)

Find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (-9-(-6))/(8-(-7))

m = (-9+6)/(8+7)

m = -3/15

m = -1/5

The slope of line AB is -1/5.

Flip the fraction and the sign to go from -1/5 to +5/1 = 5. The perpendicular slope is 5.

Let m = 5.

Use the coordinates of point C (2,12) along with the perpendicular slope to get

y - y1 = m(x - x1)

y - 12 = 5(x - 2)

y - 12 = 5x - 10

y = 5x - 10+12

y = 5x + 2

Lastly, convert this to standard form

y = 5x + 2

5x+2 = y

5x+2-y = 0

5x-y = -2

Choice A is the closest match, but the -56 should be -2 instead. It seems like your teacher made a typo somewhere.

Answer:

5x - y = -2.

Step-by-step explanation:

The equation of this altitude line has a slope = -1/m where m is the slope of line AB . It will also pass through the point C.

The slope of line AB = (-9 - (-6)) / (8 - (-7))

= -3/15

= -1/5

So the slope  of the required line = -1 / -1/5 = 5.

Using the point C and the point-slope form of a line:

y - y1 = m(x - x1)

y - 12 =  5(x - 2)

y - 5x = -10 + 12

y - 5x = 2

5x - y = -2.

The points shown on the graph represent the numbers in a geometric sequence.What is the initial value of the sequence? 1 2 3 8

Answers

Answer:

1

Step-by-step explanation:

It starts with number one, so one must be the initial value of the sequence.

1

 Step-by-step explanation:

The number of polynomials having zeros as -2 and 5 is a)1 b)2 c)3 d)more than 3

Answers

Answer:

d) More than 3.

Step-by-step explanation:

The polynomial (x - 5)(x + 2)  ( = x^2  - 3x + 10) has zeros of -2 and 5 but so have the polynomials formed by multiplying this by any integer:

- for example 2(x - 5)(x + 2) , 4(x - 5)(x + 2) and so on.

Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U

Answers

Answer:

m∠U = 103° and m∠TRS = 6°

Step-by-step explanation:

In the given circle O,

Since, RS║VU, and VR is a transverse,

Therefor, m∠V + m∠R = 180° [Consecutive interior angles]

m∠R + 103° = 180° [m∠R = 103° given]

m∠R = 180° - 103°

m∠R = 77°

Since m∠R = m∠VRT + m∠TRS

77° = 71° + m∠TRS

m∠TRS = 77° - 71° = 6°

Quadrilateral RTUV is a cyclic quadrilateral.

Therefore, m∠U + m∠R = 180°

m∠U + 77° = 180°

m∠U = 180° - 77° = 103°

Find the missing probability. P(A)=720,P(B)=35,P(A∩B)=21100 ,P(A∪B)=?

Answers

P (A U B) = 37/50

7/20+3/5+21/100

The missing probability P(A∪B) will be 37/50.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Given information;

P(A)= 7/20,

P(B)=3/5,

P(A∩B) =21/100 ,

We need to find the missing probability P(A∪B).

We know that

P(A∪B)= P(A) + P(B) + P(A∩B)

P(A∪B) = 7/20 + 3/5 + 21/100

P (A U B) = 37/50

Therefore, the missing probability P(A∪B) will be 37/50.

Learn more about probability here;

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Which fractions are equal to 0.375?

Answers

Answer:

375/ 1000

Step-by-step explanation:

it is technically correct

Step-by-step explanation:

Convert 0.375 to a simplified fraction by setting up our equation like this:

[tex]\frac{375}{1000} =\frac{x}{y}[/tex]

Then, we find the GCF for both numbers, which is 125. So, we divide both numbers by 125.

[tex]\frac{375}{125}=3\\\\\frac{1000}{125}=8[/tex]

Our simplified fraction: 3/8.

To find more equivalent fractions, multiply the numerator and denominator by the same number (example: 2, 3).

Some fractions equal to 0.375:

[tex]\frac{3}{8}, \frac{6}{16}(*2), \frac{9}{24} (*3)[/tex]

I hope I've helped you out!

is y=3x^3+4x^2+15x+7 a function and if it is, explain

Answers

Answer: Yes it is a function.

========================================================

Explanation:

It is a function because any x input leads to exactly one y output. The graph visually passes the vertical line test. It is impossible to draw a single vertical line through more than one point on the cubic curve, so that's why the graph passes the test, and visually confirms we have a function.

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

Extra info:

Something that isn't a function is [tex]y^2 = x[/tex] because it graphs a sideways parabola in which it is possible to draw a vertical line through more than one point on the curve. Two points on this parabola are (9, 3) and (9, -3). The input x = 9 corresponds to more than one output y = 3 and y = -3 simultaneously.

Which graph solves the following system? x+2y=4 5x−2y=8

Answers

Answer:

elimination method

x+2y=4     1

5x-2y=8     2

1+2

6x=12

x=2

plug into x+2y=4

2+2y=4

2y=4-2

2y=2

y=1

(2,1)

so graph 1

A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide at the base, as shown below. A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 84 feet and its width from left to right is 42 feet. Find an equation for the parabola if the vertex is put at the origin of the coordinate system. (

Answers

Answer:

Step-by-step explanation:

Because of the nature of the information we are given, we have no choice but to use the equation

[tex]y=a(x-h)^2+k[/tex]

and solve for a.

We know by the info that the vertex is (0, 84). We also know that if the vertex is at the origin, and that the base is 42 feet wide, it spans 21 feet to the right of the origin and 21 feet to the left of the origin. That means that we have 2 coordinates from which we need to pick one for our x and y in the equation. I don't like negatives, so I am going to choose the coordinate (21, 0) as x and y. Because this parabola opens upside down, as archways of door openings do, our "a" value better come out algebraically as a negative. Let's see...From the vertex we have that h = 0 and k = 84. So filling in:

[tex]0=a(21-0)^2+84[/tex] and simplifying a bit:

0 = 441a + 84 and

-84 = 441a so

[tex]a=-\frac{84}{441}=-\frac{4}{21}[/tex] Good, a is negative. Your equation is, then:

[tex]y=-\frac{4}{21}x^2+84[/tex]

Answer:

x² = -21y

Step-by-step explanation:

THIS IS THE RIGHT ANSWER I TOOK THE TEST

I need the answers for my bro​

Answers

Answer:

1)He will use 144 squares in his design

2)He will use 36 squares in his design

Step-by-step explanation:

1) There is 12 squares going horizontally and 12 squares going vertically meaning the total amount of squares needed is:

12 x 12 = 144 inch squares

2) If he wants to cover a smaller box that is 1/2 feet big than he would take the square of 1/2 which is 1/4 and multiple it to the original answer to get the answer of the new question

144 x (1/4) = 36 inch squares

The cosst of 4 1 /4 kg of sugar is £68 .find the coast o 1 kg​

Answers

Step-by-step explanation:

Hi, there!!

Here according to the question we must find the cost of 1 kg sugar.

Given that:

17/4 kg of sugar cost £68.

then 1 kg sugar costs,

=[tex] \frac{68}{ \frac{17}{4} } [/tex]

after reciprocal we get,

= £68×4/17

=£16

The answer would come £16.

Therefore, The cost of 1 kg sugar is £. 16.

Hope it helps....

Answer:

£ 16

Step-by-step explanation:

Cost of 4 1/4 kg sugar = £ 68

4 1/4 = 17/4

Cost of 17/4 kg of sugar = 68

Cost of 1 kg of sugar =68 ÷ (17/4)

                                  [tex]= 68* \frac{4}{17}\\\\=4*4\\[/tex]

                                  = £ 16​

Thomas had 19 problems correct of the 25 problems on a recent math quiz. What percent of the
problems on the quiz did he answer correctly?
A.
24%

B. 36%

C. 76%

D.95%

Answers

Hey There!!

Your best choice is 76%

Because, 19/25 = x/100

25x = 1900

x = 76

°He got 76% correct!!°

By °Itsbrazts°

Answer:

76%

Step-by-step explanation:

Thomas got 19/25 marks.

** Note: Percents are always out of 100.

We don't know how many marks he got out of 100.

=> 19/25 = x/100

There are two ways to solve it from now.

=> Multiply 19 and 100; 25 and x

=> 25x = 1900

Next, Divide 25 on each side.

=> 25x/25 = 1900/25

=> x = 76

He got 76% on the quiz.

Another way is:

=> 19/25 = x/100

=> We need to divide 25 from 100.

=> We get 4.

So, 25 x 4 = 100

=> 19 x 4 = x

=> x = 76

He got 76% on the quiz.

Both ways are correct.

Which of the following statements is true about odd
and/or even numbers?
F. The sum of any 2 even numbers is odd.
G. The sum of any 2 odd numbers is ood.
H. The quotient of any 2 even numbers is odd.
J. The quotient of any 2 even numbers is even.
K. The product of any 2 odd numbers is odd.

Answers

Answer:

k) the product of ant 2 odd numbers is odd

I don't know.

Let's check um out.

For each choice, I'll try to find an example to show that it's false.

F. The sum of any 2 even numbers is odd.  

    2+2=4. 4 is even. This one is false.

G. The sum of any 2 odd numbers is ood.

    3+3=6.  6 is even.  This one is false.

H. The quotient of any 2 even numbers is odd.

    8÷4=2. 2 is even. 10÷4=2.5.  2.5 is neither odd nor even. This one is false.

J. The quotient of any 2 even numbers is even.

   10÷2=5.  5 is odd.  This one is false.

K. The product of any 2 odd numbers is odd.

    I can't find an example where this is false.

    So I'm gonna say that this is the true one.

On Wednesday at camp, Samuel went for a hike at 6:30 A.M. The hike took 2 hours and 15 minutes. As soon as he got back from the hike, Samuel played volleyball for 1 hour. What time did Samuel finish playing volleyball?

Answers

Answer:

9:45 A.M.

Step-by-step explanation:

First, add the time that took him to hike:

6:30 + 2 hours and 15 minutes = 8:45 A.M.

Next, add the 1 hour that he played volleyball for:

8:45 + 1 hour = 9:45 A.M.

So, he finished playing volleyball at 9:45 A.M.

Answer:

9:45 am

Step-by-step explanation:

He went at 6:30 am to a hike.

It took him 2 hours 15 minutes

=> 6 : 30

+  2    15

=> 8 : 45

He came back from the Hike at 8:45 am

He played volleyball for 1 hour.

=> 8 : 45

+  1

=> 9 : 45

He finished playing volleyball at 9:45 am

The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the The area of the sail is 68 square feet, find its height and the length of the base.

Answers

Step-by-step explanation:

It is given that,

The height of the sail on a boat is 7 feet less than 3 times the length of its base.

Let the length of the base is x.

ATQ,

Height = (3x-7)

Area of the sail is 68 square feet.

Formula for area is given by :

[tex]A=lb\\\\68=x(3x-7)\\\\3x^2-7x=68\\\\3x^2-7x-68=0[/tex]

x = 8 feet and x = -3.73 feet

So, length is 8 feet

Height is 3(8)-7 = 17 feet.

So, its height and the length of the base is 17 feet and 8 feet respectively.

Give the values of a, b, and c needed to write the equation's general form.
1/4x^2+5=0

Answers

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Let's solve your equation step-by-step.

[tex]\frac{1}{4} x^2+5=0[/tex]

For this equation: [tex]a=0.25, b=0, c=5[/tex]

[tex]0.25x^2 + 0x + 5 = 0[/tex]

Step 1: Use quadratic formula with [tex]a=0.25, b=0, c=5.[/tex]

[tex]x = \frac{-b ± \sqrt{b^2 - 4ac} }{2a}[/tex]

[tex]x = \frac{-(0) ± \sqrt{(0)^2 -4 (0.25) (5) } }{2(0.25)}[/tex]

[tex]x = \frac{0 ± \sqrt{-5} }{0.5}[/tex]

Answer : No Real Solutions.

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what is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?

Answers

Answer:

-16, 0 real solutions. (Complex Roots)

Step-by-step explanation:

[tex]5x^2-2x=-1\\5x^2-2x+1\\A=5\\B=-2\\C=1\\(-b±√(b^2-4ac))/2a\\=\\=-2^2-4(5)(1)\\=4-20\\=-16[/tex]

Change histul
bols
A store pays two fees when a customer uses a credit card to make a purchase. These fees include:
A flat fee of $0.15
A processing fee equal to 1.75% of the dollar amount of the purchase
There is no sales tax on the purchase.
What is the amount, in dollars and cents, the store pays in fees for a $60.00 purchase by a customer using a credit
card?**

Answers

Answer:

So the amount to pay is $1 and 20 cents ( or a total of 120 cents)

Step-by-step explanation:

Here, we want to know the amount paid as fees for a $60 purchase given that the store has to pay a flat fee of $0.15 and a processing fee of 1.75% of the amount of purchase.

Firstly, we establish that there are two fees to be paid.

We already have a fee of $0.15

The other fee to pay is 1.75% of $60

Mathematically that would be;

1.75/100 * 60 = $1.05

Thus, the fees to be paid on the $60 purchase is $1.05 + $0.15 = $1.20

A. X>0
B. xis all real numbers.
C. O sxs 5
D. -5 sxs 5

Answers

Answer:

B

Step-by-step explanation:

The domain of a function is all of the x values of a function. Since there seem to be no constraints on the values of x (we know this because the function is continuous and it goes on forever in both sides), the answer is B.

Answer:

B. All real numbers

Step-by-step explanation:

Hey there!

Well the domain is all the x-values in the graph and by looking at where the lines are going we can tell that the graph domain is all real numbers.

Hope this helps :)

Other Questions
which article is related to Equality before law What are the solutions to the equation 3(x 4)(x + 5) = 0? x = 4 or x = 5 x = 3, x = 4, or x = 5 x = 3, x = 4, or x = 5 x = 4 or x = 5 The world on the turtles back Answer the following questions properly (complete sentences and direct citations/quotations where necessary) what is one universal question humans have about the world, and how does this story answer this question? i) A 100 W and 60 W bulb are joined in series and connected to the mains. Which bulbwill glow brighter? Why?ii) A 100 W and a 60 W bulb are joined in parallel to the mains. Which bulb willglow brighter? Why? A student estimated the sum 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815 as: All the numbers begin with a 7 or 8, so use cluster estimation. 8 + 8 + 80 + 8 + 80 + 0.8 = 184.8 Suppose the radius of a circle is 2. What is its circumference? help me plz I really need this thanks I will give a lot of points In the consensus case, what is Amazon's enterprise value on the valuation date using the exit multiple terminal value Select the correct answer.In which career would you most likely apply concepts from geometry? when was the declaration of Independence signed multiple choice a. 126 pie cm^3b. 84 pie cm^3c. 504 pie cm*3 15. Calculate the critical angle of glass and water combination. Show your calculation. 16. What is the critical angle for the interface between Mystery A and glass Astronomers were at first surprised to find complicated molecules in the interstellar medium. They thought ultra-violet light from stars would break apart such molecules. What protects the molecules we observe from being broken apart Armando is baking 36 batches of brownies for the bake sale. Each batch of brownies takes cups of flour. What is a reasonable estimate of the amount of flour that he will need to bake all thirty-six batches of brownies? in not more than one page, write a letter to your friend in another school telling him or her three ways you are preparing for your forthcoming examination Gothic Cathedrals were mostly builtnear the manors of dukes and lordsin the countryside to minister to the illiterate populationat the heart of medieval townson university campuses Which of the following was not a long-term effect of the Great Awakening?It led to the founding of new colleges such as Columbia, Princeton, Brown, Rutgers, and Dartmouth.It led to the decline in the influence of Presbyterians, Baptists, and Methodists, and the increasing importance ofQuakers, Anglicans, and CongregationalistsO It led to the emergence of black ProtestantismIt led to the fostering of religious toleration by blurring theological differences among New LightsIt led to unprecedented splits in American Protestantism. The only job of writers who analyze a work using comparison and contrast is write a list of comparisons and contrasts in their papers. True False Develop a CPP program to test is an array conforms heap ordered binary tree. This program read data from cin (console) and gives an error if the last item entered violates the heap condition. Use will enter at most 7 numbers. Example runs and comments (after // ) are below. Your program does not print any comments. An output similar to Exp-3 and Exp-4 is expected.Exp-1:Enter a number: 65 Enter a number: 56 // this is first item (root,[1]) in the heap three. it does not violate any other item. So, no // this is third [3] number, should be less than or equal to its root ([1]) Enter a number: 45 // this is fourth number, should be less than or equal to its root ([2]) Enter a number: 61 // this is fifth number, should be less than or equal to its root ([2]). It is not, 61 > 55. The 61 violated the heap. Exp-2: Enter a number: 100 Enter a number: 95 1/ 95 < 100, OK Enter a number: 76 // 76 < 100, OK Enter a number: 58 // 58 < 95, OK Enter a number: 66 1/ 66 < 95, OK Enter a number: 58 // 58 < 76, OK Enter a number: 66 // 66 < 76, OK Exp-3: Enter a number: -15 Enter a number: -5 -5 violated the heap. Exp-4: Enter a number: 45 Enter a number: 0 Enter a number: 55 55 violated the heap. Napoleon, who is considered an example of a romantic hero, wrote that "the defect of our modern institutions is that they do not speak to the imagination." Is this observation valid in our time?