There were some people on a train. 19 people got off the train at the first stop. 17 people get on the train. Now there is 63 people on the train. How many people were on the train to begin with?

Answers

Answer 1

Answer:

65 people.

Step-by-step explanation:

We have to work backwards.

We end with 63 people, and at the stop we lost 19 people and gained 17.

[tex]x - 19 + 17 = 63\\[/tex]; if x = # people at the beginning

[tex]x - 19 + 17 = 63\\x - 2 = 63\\x = 65[/tex]

There were 65 people on the train to begin with.

Answer 2

Answer:

65 people

Step-by-step explanation:

Well, we need to work backward,

63 on the train and 17 got on so we do 63 - 17 = 46

Then 19 got off so 46 + 19 = 65

Hence, 65 people were on the train on the first stop.


Related Questions

60 is what percent of 90?

Answers

Answer:

[tex]\boxed{66.67\%}[/tex]

Step-by-step explanation:

[tex]\frac{60}{90}[/tex]

[tex]=\frac{2}{3}[/tex]

[tex]\approx 66.67\%[/tex]

60 is 66.67 percent of 90.

Answer:

66,(6) %

Step-by-step explanation:

90 ............... 100%

60 ....................X%

X = 60×100/90 = 600/9 = 66,(6) %

feet.
The radius of Cylinder A measures
10
7
14

Answers

Answer:

14 I think

Step-by-step explanation:

Tell me if I'm wrong

Answer:

14

mark me brainy plz!

Step-by-step explanation:

Could I please have some help?​

Answers

Answer:

1,910

Step-by-step explanation:

8 x 6 = 48 x 4 = 192 x 10 = 1,920 now 1,920 minus 10 = 1,910

i guess..but good luck

Answer:

144mi^2

Step-by-step explanation:

The first step would be to find the top and bottom of the shape which are two triangles.

The way you find the area of a triangle is

[tex]A= \frac{L*W}{2}[/tex]

The length is 6 and the width is 8 so you can plug in the numbers

[tex]A=\frac{6*8}{2}[/tex]

Then multiply 6 by 8

[tex]A=\frac{48}{2}[/tex]

And divide by two

[tex]A=24[/tex]

because there are two identical triangles, multiply 24 by 2 to get 48.

The two triangles make 48mi

Now you must find the area of all the rectangles on the sides separately.

The way to find the area of a rectangle is

[tex]A=L*W[/tex]

You must do one at a time, first, I will so the side with a length of 4 and width of 10

[tex]A=4*10[/tex]

Multiply 4 by 10 to get

[tex]A=40[/tex]

One of the rectangles has the area of 40mi

Now you must find the area of the other rectangles with the same formula. I will be doing the one with a length of 4 and a width of 8 next

[tex]A=4*8[/tex]

Multiply 4 by 8 to get

[tex]A=32[/tex]

The area of the second rectangle is 32mi

Finally, you want to find the area of the last rectangle that has a length of 4 and a width of 6. We will be using the same formula again

[tex]A=4*6[/tex]

Multiply 4 by 6 to get

[tex]A=24[/tex]

The area of the last rectangle is 24mi

The last step is to add all the areas together to get the surface area of the figure.

First the two triangles, then the first rectangle, the second, and finally the third.

[tex]SA = 48+40+32+24[/tex] (SA is surface area)

Once you add them all, you get

[tex]SA=144[/tex]

So the Surface area of the whole figure is 144mi^2

Hope this helps!

Feel free to ask any other questions if you have any.

Have a good day! :)

The pair of points is on the graph of an inverse variation. Find the missing value.
(5, 4) and (x, 7)

Answers

Answer:

20/7 or 2 and 6/7

Step-by-step explanation:

convert it into the equation 5=k/4

so 5x4 is 20

k=20

then x=20/y

and y is 7

so the answer is 20/7

If 4 pounds of sugar cost $2, the cost of 1 pound of sugar is $ and the cost of 10 pounds of sugar is $ Bryan drives at an average speed of 60 miles per hour. At this rate, it will take him 3 hours to drive how many miles does Bryan

Answers

Answer:

The cost of one pound of sugar is $0.5 and the cost of 10lbs of sugar is $5

Bryan is driving 180 miles

Step-by-step explanation:

Evaluate 2y - 10 + 8y when y is 4

Answers

Answer:

30

Step-by-step explanation:

Given,

y = 4

Now, let's evaluate:

[tex]2y - 10 + 8y[/tex]

Plug the values

[tex] = 2 \times 4 - 10 + 8 \times 4[/tex]

Multiply the numbers

[tex] = 8 - 10 + 32[/tex]

Calculate the sum of positive numbers

[tex] = 40 - 10[/tex]

Subtract the numbers

[tex] = 30[/tex]

Hope this helps...

Best regards!!

Answer:

30

Step-by-step explanation:

To solve your question we must first replace y with the given number. In this case, the number given is 4 so,

2 (4) - 10 + 8 (4)

We can now solve by multiplying 2 by 4 and 8 by 4

2 * 4 = 8

8 * 4 = 32

8 - 10 + 32 = 30

Hope this helps!!

If sin theta = 4/5 and cos theta is in quadrant II, then cos theta and tan theta equal what?​

Answers

Using the pythagorean identity, [tex]\cos^2{\theta} + \sin^2{\theta} = 1[/tex]. Since [tex]\theta[/tex] is in quadrant ||, we know that [tex]\cos{\theta}[/tex] is negative. Solving the equation [tex]\cos^2{\theta} + (\frac{4}{5})^2 = 1[/tex] for [tex]\cos{\theta}[/tex], we get that [tex]\cos{\theta} = -\frac{3}{5}[/tex].

[tex]\tan{\theta}[/tex] is equal to [tex]\frac{\sin{\theta}}{\cos{\theta}}[/tex], which is [tex]-\frac{4}{3}[/tex].

The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.

What is trigonometry?

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

If sin θ = 4/5.

The value of the cosine is negative. Then the cosine of angle θ is given as,

cos θ = -√(1 - sin²θ)

cos θ = - √[1 - (4/5)²]

cos θ = - √[9/25]

cos θ = - 3/5

θ = 143.13°

The value of the tangent of angle θ is calculated as,

⇒ tan θ

⇒ tan 143.13

⇒ - 0.75

The value of cos θ and tan θ will be negative 0.60 and negative 0.75, respectively.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

A cougar can run 25 miles per hour. A cheetah can run 55 miles per hour. if they both run at 3 hours full speed, how much farther will the cheetah run

Answers

Answer:

Step-by-step explanation:

( in 3hrs calculate distance)

,the cheetah will run 90 miles farther the cougar

pls mark my answer as the brainliest

1. From a circular sheet of radius 18 cm, two circles of radii 4.5 cm and a rectangle of length 4 cm and breadth 1 cm are removed; find the area of the remaining sheet. [π = 22/7 ]

Answers

Area of a circle = PI x r^2

Area of sheet = 22/7 x 18^2 = 1,018.29 square cm.

Area of small circle = 22/7 x 4.5^2 = 63.64 square cm.

There are 2 small circles so total area of the circles are 63.64 x 2 = 127.28 square cm.

Area of rectangle = l x w = 4 x 1 = 4 square cm.

Total area of cutouts = 127.28 + 4 = 131.28 square cm.

Area of sheet left, subtract area of cutouts fro area of sheet:

1018.29 - 131.28 = 887.01 square cm.

Round everything as needed.

Pleaseeeee hurryy need help!!

Answers

it is the last one

Step-by-step explanation:

by simplifying powers it becomes

8g^8/64h ^5

simplifying it further gives

g^8/ 8h^5

i think its the last one

Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
If he chooses box A, what is the probability
he chooses a milk chocolate?
% (1 d.p.)​

Answers

Answer:

26% or 10/39

Step-by-step explanation:

Since box A has 5 dark chocolates and 10 milk chocolates, there are 15 chocolates in all. Box B has 24 chocolates in total (12 milk, 12 dark). So there is a total of 39 chocolates in all.

There are 10 milk chocolates in Box A, so the probability of choosing any one milk chocolate out of the total 39 is 10/39 or in percentage, 26%.

Please Help ASAP! Will name Brainliest! Question: Minimize the objective function P = 5x + 8y for the given constraints. x ≥ 0 y ≥ 0 2x + 3y ≥ 15 3x + 2y ≥ 15 Answer: 25, 46, 39, 37.5

Answers

Answer:

Option D.

Step-by-step explanation:

Minimize the objective function P = 5x + 8y for the given constraints.

[tex]x\geq 0,y\geq 0[/tex]

[tex]2x+3y\geq 15[/tex]

[tex]3x+2y\geq 15[/tex]

The related equations of above inequalities are

[tex]2x+3y=15[/tex]

[tex]3x+2y=15[/tex]

For [tex]2x+3y=15[/tex],

x     y

0     5

7.5   0  

Plot (0,5) and (7.5,0) and join them by straight line.

For [tex]3x+2y=15[/tex],

x     y

0     7.5

5      0  

Plot (0,7.5) and (5,0) and join them by straight line.

Check the inequalities for (0,0).

[tex]2(0)+3(0)\geq 15\Rightarrow 0\geq 15[/tex] False

[tex]3(0)+2(0)\geq 15\Rightarrow 0\geq 15[/tex] False

It means both lines are solid lines and shaded region for each lies opposite side of (0,0).

From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).

Point       P = 5x + 8y

(0,7.5)     P=5(0)+8(7.5)=60

(3,3)     P=5(3)+8(3)=15+24=39

(7.5,0)     P=5(7.5)+8(0)=37.5 (Minimum)

So, minimum value is 37.5.

Therefore, the correct option is D.

You have linear functions p(x) and q(x). You know p(2)=3, and p(q(x))=4x+7 for all x. Find q(-1).

Answers

Answer:

q(-1)=-2

Step-by-step explanation:

1) flip the equation:

4x+7=-1

2) subtract 7 from both sides:

4x=-8

3) divide both sides by 4:

x=-2

HOPE THIS HELPS!!!! :)

Find the value of: [tex](1-\frac{1}{2^2})(1-\frac{1}{3^2})...(1-\frac{1}{100^2})[/tex] help ASAP

Answers

Answer

(1-1/2 2)= 3/4 <Exact Form>  0.75<Decimal Form>

1-(1)/(100^(2) = 9999/10000 <Exact Form> 0.9999 <Decimal Form>

Step-by-step explanation:

Hope this Helps! The Crystaline Gamerz on YT! Bye! please sub

Answer:  101/200

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

Explanation:

Each term multiplied out is of the form 1 - 1/(k^2) which we can write as 1^2 - (1/k)^2

Note we have something in the form a^2 - b^2 with a = 1 and b = 1/k

So  

a^2 - b^2 = (a-b)(a+b)

1^2 - (1/k)^2 = (1 - 1/k)(1 + 1/k)

1^2 - (1/k)^2 = [ (k - 1)/k ] * [ (k + 1)/k ]

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

Let P = [ (k - 1)/k ] * [ (k + 1)/k ]  represent the kth term we are dealing with

Then let Q be the term just after term P, so it's the (k+1) term

To form term Q, replace every k with k+1

Q =  [ (k+1 - 1)/(k+1) ] * [ (k+1 + 1)/(k+1) ]

Q = [ k/(k+1) ] * [ (k+2)/(k+1) ]

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

Let's multiply P and Q to find out what happens . See figure 1 in the attached images below.

As figure 1 shows, we see that the middle terms cancel out. This will happen when we multiply P*Q*R, where R is the term just after Q. Extend this idea out as far as you want and each time the middle terms will pair up and cancel.

All that's left are the first and last terms, which are

1 - 1/2 = 1/2

and

1 + 1/100 = 101/100

They multiply to 101/200

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

Figure 2 (also attached as an image) shows a longer way to do the problem. Basically I expanded out a bunch of terms to multiply, and then show how we have various terms pair up and cancel, in basically the same way as explained above. What's left are the first and last terms 1/2 and 101/100 which multiply to 101/200.

What is the mean absolute deviation of the data set {30,33,36,34,52}?

Answers

Answer:

6

Step-by-step explanation:

I took the test and got 100%

I hope i helped and that i get brainliest :P

Answer:

Step-by-step explanation:

1)To find the mean absolute deviation of the data, start by finding the mean of the data set.

2)Find the sum of the data values, and divide the sum by the number of data values.

3)Find the absolute value of the difference between each data value and the mean: |data value – mean|.

4)Find the sum of the absolute values of the differences.

5)Divide the sum of the absolute values of the differences by the number of data values.

1. What solid is represented by this net? (Image 1). A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid 2. Choose all the solids from the list below. A. Rectangle B. Circle C. Cone D. Pyramid E. Prism F. Cylinder 3. The volume of the following figure = ___________ cm3. (Image 2) A. 288 B. 72 C. 216 D. 144

Answers

Answer:

c  rectangular prism i think

Step-by-step explanation:

5x-2y = -25 Solve by linear combination please show work

Answers

Answer:

The answer you get is x=-3, and y=5 or (-3,5)

Step-by-step explanation:

3x+y=-4 and 5x-2y = -25.

Firstly,  to solve the equation let's use the multiplication method.

5x-2y=-25 (Multiply by 1)

3x+y=-4     (Multiply by 2)

=

5x-2y=-25

+6x+2y=-8

=

11x=-33

x=-3

We know that x=-3, now we can find y by substituting this value into other equations.

5(-3)-2y=-25

-15-2y=-25

+15      +15

-2y=-10

y=5

The answer you get is x=-3, and y=5 or (-3,5)

The answer you get is x=-3

Select all the examples of categorical data. colors number of siblings favorite pet profits genre of music

Answers

Answer:

Color, favorite pet, genre of music

Step-by-step explanation:

Categorical variables are simply statistical variables which are non - numeric, usually employed in characterization and groupings based on a certain number of fixed attributes, categories. In the options atated above, the categorical variables fall under a heading with a limited and fixed attributes such as color, pet and genre of music. However, options such as number of siblings and profit are purely numeric variables which can take up any numeric digits and allow for direct numeric computation. They are called quantitative variables.

Answer:

colors, genre of music, favorite pet

PLEASE ANSWER ASAP!!!!!! WILL MARK BRAINLY

Answers

Answer:

i think u r correct

Step-by-step explanation:

good job

Answer:

B, C, and E ([tex]x\leq -7,[/tex] The graph has a closed circle, and -7 is part of the solution.)

Step-by-step explanation:

Let's first solve the inequality of [tex]15\geq 22+x[/tex].

[tex]15\geq x+22[/tex]

[tex](15)-22\geq( x+22)-22[/tex]

[tex]-7\geq x[/tex]

[tex]x\leq -7[/tex]

So the final equation comes out to be [tex]x\leq -7[/tex].

This graph has a closed circle as it is a greater than OR equal to.

And -7 is a part of this solution as it is the number x is being compared to.

Let me know if I got anything wrong.

8. Solve for "x":
(5x + 2)
(x + 4)

Answers

Answer:

x = 29

Step-by-step explanation:

(5x + 2) + (x + 4) = 180

6x + 6 = 180

6x = 174

x = 29

I HOPE THIS HELPS

Answer:

x=29 degrees

Step-by-step explanation:

We know that the straight line is 180 degrees because definition of a straight. So we take 4 and 2 and subtract them off of 180. so 180-4-2=174. Now, we do 174/6 because you want to figure out how much times 6 can go into 174 because there are 6 x's (if that makes sense). So we get the answer 29 so x=29 degrees.

Basically, you want to combine like terms. So we combined the non-variable numbers and we subtract it off of 180. Then we take the variables and combine them. So in this case, it would be x+5x=6x. Then we need to figure out what x is so we just divide by 6 on both sides. So 6x=174 so x=29.

I hope this made sense.

The price of a vase was increased by 10% to £22. What was the price before the increase?

Answers

Answer:

Step-by-step explanation:

Let the price of the vase before increase = x

110 % of x = £ 22

[tex]\frac{110}{100}*x=22\\\\x=22*\frac{100}{110}\\\\x=2*10\\[/tex]

x = £ 20

Hi. Please i need help with this question .
workings please
Find the perimeter of the diagram.
a. 41cm
b. 38cm
c. 37cm
d.35cm
e. 32cm

Answers

Answer:

b. 38 cm.

Step-by-step explanation:

Note that the 2 sides  which are unmarked are the opposite sides of 2 rectangles so they are both  = 2 cm.

Now we  just add all the given sides.

Starting with 6 on the top and travelling clockwise:

Perimeter = 6 + 2 + 2 + 3 + 3 + 2 + 7 + 2 + 3 + 3 + 3 + 2

=  38 cm.

Perimeter is basically adding all of the sides so you have to add; 6 + 2 + 3 + 2 + 3 + 3 +3 + 3 + 7 + 2 + 2 + 2= 38 .

38 is the perimeter.

Does coordinate c or coordinate d represent a greater number?

Answers

Answer:

Coordinate d

Step-by-step explanation:

Answer: d is larger

c = -2 and d = -1

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

Explanation:

We have c = -2 as this is the same as the x coordinate of (-2,-1), which is the point directly below (c,5).

The point (3,d) is on the same horizontal level as (-2,-1), so the y coordinates must match up. We therefore have d = -1.

Comparing c = -2 and d = -1, we see that d = -1 is larger as it is to the right of -2.

WILL MARK BRAINLIEST Give a real world example of an equation which the constant of proportionality is 15. What would the graph look like?

Answers

Answer:

Let's say someone is selling lemonade at a lemonade stand. The more cups of lemonade this person sells, the more money they get. If 1 cup= $1, then he would get $2 for 2 cups.

Step-by-step explanation:

The price of the lemonade cup and the lemonade cup are a constant of proportionality. They are proportional to each other. The more lemonade you sell, the more money you get.

The graph would be a straight diagonal line. The y would be the money, and the x would be the amount of lemonade sold. Since they are the same and proportional, they would go in a straight line.

Write the equations after translating the graph of y = | 1/2x−2|+3, one unit to the right

Answers

[tex]y=|\dfrac{1}{2}x-2|+3[/tex]

Since we are translating this graph one unit to the right, replace x with (x-1)

Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)

[tex]y=|\dfrac{1}{2}(x-1)-2|+3[/tex]

After simplifying, we now have the following equation:

[tex]=|\dfrac{1}{2}x-\dfrac{5}{2}|+3[/tex]

This is the new equation. Let me know if you need any clarifications, thanks!

Answer:

we are given

y=|2x|-1

we are given to translate this equation

Whenever we translate any function to right side by 'c' units

we can replace x as x-c

Here , we have to translate one unit right

so, we can replace x as x-1

and we get

y=| 2( x-1 ) | 1

Hope this helps <3

60 points


Lana uses factoring by grouping to factor the polynomial 8x2y−10xy2+12x−15y. Her work is shown below, but the last two lines of work are missing.


8x2y−10xy2+12x−15y

(8x2y−10xy2)+(12x−15y)

__[blank 1]__

__[blank 2]__


Select one statement for each blank to correctly complete Lana’s work.


blank 1: 2xy(4x−5y)+3(4x−5y)

blank 1: −4x(2xy+3)+5y(2xy+3)

blank 2: (2xy−3)(4x+5y)

blank 1: −2xy(4x+5y)−3(4x+5y)

blank 2: (2xy+3)(4x−5y)

blank 2: −(2xy+3)(4x−5y

NEED PROOF FOR POINTS

Answers

Answer:

blank 1: 2xy(4x-5y)+3(4x-5y)

blank 2: (2xy+3)(4x-5y)

Step-by-step explanation:

Using factoring group to factor the polynomial 8x²y−10xy²+12x−15y

Step 1: Group the polynomial function

(8x²y−10xy²)+(12x−15y)

Step 2: Factor the common value and variables from the functions in parentheses.

= (2xy*4x - 2xy(5y)) + (3(4x) - 3(5y))

= 2xy(4x-5y)+3(4x-5y)

Step 3: Rearrange the expression by selecting one of the function in parentheses and combine those not in parenthesis.

(2xy+3)(4x-5y)

The final expression gives the factor form of the polynomial.

Hence the statement for each blank that correctly completes Lana's work are;

blank 1: 2xy(4x-5y)+3(4x-5y)

blank 2: (2xy+3)(4x-5y)

Please answer this!!! Thank you!!!

Answers

I hope this helped! Good luck with the rest of your class :)

6/3x = 3. What is x?

Answers

Steps to solve:

6/3x = 3

~Multiply 3/6 to both sides

x = 3/2

Best of Luck!

Answer:

x = 3/2

Step-by-step explanation:

Hey there!

To solve this equation, let's rewrite it for cohesive purposes. This would result in (6/3)(x) = 3.

Now, we can simplify the fraction because it reduces to a whole number. Three will go into six two times, so 6/3 is equivalent to 2.

This leaves us with 2x = 3.

Now, we need to isolate the x. Because there is a coefficient leading the variable, we can divide the entire term (2x) by 2 as well as dividing the 3 on the righthand side of the equation by 2.

Remember the mathematical rule of thumb: what you do to one side of the equation, you must perform to the other side. Therefore, if we divide by 2 on the left side of the equation, we must also divide the righthand side of the equation by 2.

By performing this step, it leaves us with x = 1.5.

[tex]{\frac{2x}{2}=\frac{3}{2}}\\\\\bold{x = \frac{3}{2}}[/tex]

We can reduce [tex]\frac{3}{2}[/tex] to a decimal, which transfers to 1.5. However, it's best to leave the answer in fractional form. This leaves our final answer as [tex]\bold{x=\frac{3}{2}}[/tex].

Of a classroom filled with 20 students, 2 will be selected to stay after school and correct homework for extra credit. How
many combinations are possible?

Answers

Answer: 10

Step-by-step explanation:

20/2=10

pairs of two

Answer:

10 pair

Step-by-step explanation:

20/2=10

10 pairs of students staying after school for extra credit

Thank you for helping

Answers

Answer:

The answer is option B

Step-by-step explanation:

Using BODMAS the expression in the bracket

that's

( 9 + 3) must be solved first

Hope this helps you

the answers is B always start with the ()
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The volumetric heat generation due to this absorption may be described by an expression of the form q(x)=(1)q''o^ex where is the absorption coefficient of the quartz. Convection heat transfer occurs from the outer surface (x=L) of the window to ambient air at T[infinity] and is characterized by the convection coefficient h. Convection and radiation emission from the inner surface may be neglected, along with radiation emission from the outer surface. Required:Determine the temperature distribution in the quartz, expressing your result in terms of the foregoing parameters. Under the Dominion of New England, American colonistsA .felt the rights secured for them by the Magna Carta were being violated.B. were empowered by the rights secured for them by the Magna Carta.C. had more flexibility to own land and other forms of property.D. were no longer subjected to the authority of the English king. Taylor and Jeff have been selling frozen pizzas for a class fundraiser. Taylor has sold half as manypizzas as Jeff. Together they have sold a total of 126 pizzas. How many pizzas did Taylor sell? Nitrogen-fixing bacteria in the roots of soybeans help provide a source of nitrogen to the plants, and in exchange, the bacteria obtain food from the plants. Which type of interaction is this Nicole makes $9.50 per hour working at an electronics company. She plans to buy a hand-held computer, the least expensive of which costs $245.60 and the most expensive of which costs $368.40. Write and solve an inequality describing how long Nicole will have to work to be able to buy a hand-held computer.Please give me steps on how to solve this problem. THANK YOU. Patton Company purchased $400,000 of 10% bonds of Scott Co. on January 1, 2011, paying $376,100. The bonds mature January 1, 2021; interest is payable each July 1 and January 1. The discount of $23,900 provides an effective yield of 11%. Patton Company uses the effectiveinterest method and plans to hold these bonds to maturity. 5. On July 1, 2011, Patton Company should increase its Held-to-Maturity Debt Securities account for the Scott Co. bonds by What is in for Winston in 101? While making oatmeal cookies, Angela needs to add cup of milk to her dough. However, she has only a -cup measuring cup. How many times does she need to fill the measuring cup to pour cup of milk? A state's authority to enact legislation to preserve order, protect the public health and safety, and promote the general welfare of its citizens can be passed on to municipalities and counties through legislation called A user receives an email containing a co-workers birth date and social security number. The email was not requested and it had not been encrypted when sent. What policy does the information in the email violate Volume of Pyramid = A*h/3 where A is the area of the base of the pyramid and h is the height of the pyramid. Write a C++ program that asks the user to enter the necessary information about the pyramid (note that the user would not know the area of the base of the pyramid, you need to ask them for the length of one of the sides of the base and then calculate the area of the base). Using the information the user input, calculate the volume of the pyramid. Next display the results (rounded to two decimal places). Example Output (output will change depending on user input): The area of the base of the pyramid is: 25.00 The height of the pyramid is: 5.00 The volume of the pyramid is: 41.67 *Pseudocode IS required for this program and is worth 1 point. The program IS auto-graded. Some characteristics of clay products such as (a) density, (b) firing distortion, (c) strength, (d) corrosion resistance, and (e) thermal conductivity are affected by the extent of vitrification. Will they increase or decrease with increasing degree of vitrification?1. (a) increase (b) decrease (c) increase (d) decrease (e) increase 2. (a) decrease (b) increase (c) increase (d) increase (e) decrease 3. (a) decrease (b) decrease (c) increase (d) decrease (e) decrease 4. (a) increase (b) increase (c) increase (d) increase (e) increase 5. (a) increase (b) decrease (c) decrease (d) increase (e) decrease