What is the volume of the following rectangular prism?

What Is The Volume Of The Following Rectangular Prism?

Answers

Answer 1

Answer:

Step-by-step explanation:

The Volume is given by the following equation: V= Base x Height

Therefore,  [tex]V = 16\frac{1}{4} * \frac{1}{2} = \frac{65}{4} * \frac{1}{2} = \frac{65}{8} = 8\frac{1}{8}[/tex] units


Related Questions

If one factor of 6.x2 + 5x – 6 is
3.x - 2, the other factor is
A.
3.x + 3
B. 6x + 3
C. 2x + 3
D. 2.x - 3

Answers

C. 2x + 3

You have many ways to solve this!
You could...

A) multiply all the answer choices by 3x-2 and see what matches

B) Factor the trinomial

C) Divide the trinomial by the binomial using long division
c is would be your answer

15 POINTS!!!!!!!! How is a linear function affected when a constant is multiplied by x?

Answers

Answer:

The Y-intercept changes .

Step-by-step explanation:

Answer:

The y-intercept changes

Step-by-step explanation:

Which equation represents a line that has a slope of Negative one-half and passes through point (4, –5)? y = negative one-half x + three-halves y = negative one-half x + StartFraction 13 Over 2 EndFraction y = negative one-half x minus 7 y = negative one-half x minus 3

Answers

Answer:

y = (-1/2)x - 3

Step-by-step explanation:

Please present the equation symbolically instead of in words:

m = -1/2, passing through (4, -5):

Using the slope-intercept formula y = mx + b, and using m = -1/2, x = 4 and y = -5, we get:

-5 = (-1/2)(4) + b, or -5 = -2 + b.  Then b = -3 and the desired equation is:

y = (-1/2)x - 3

y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)

What is the equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that a line has slope -1/2 and passes through point (4, -5)

The standard equation of a line is y = mx + c where m is the slope of the line.

Solving for c,

-5 = -1/2*4 + c

c = -3

Hence, y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)

For more references on the equation, click;

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lauren sold 140 boxes of cookies. 60% of the boxes she sold were to people her dad works with. of these boxes 1/4 contained mint cookies. how many boxes of mint cookies did Lauren sell to people her dad worked with?​

Answers

Hey there! I'm happy to help!

First, we need to find 60% of 140. This is how many boxes she sold to the people her dad works with. 60% as a decimal is 0.6 (0.6 is 60% of 1, one represents the whole, or total).

0.6×140=84

We know that 1/4 of these had mint cookies. 1/4 is 25%, so let's find 25% of 84!

0.25×84=21

Therefore, Lauren sold 21 boxes of mint cookies to people her dad works with.

Have a wonderful day! :D

Answer:

The answer is C) 21

Step-by-step explanation:

I'm right, trust me :)

Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner. 6 x + 3 y = 27. 5 x + 2 y = 21. Which variable should he choose so that he can use substitution to solve the system?

Answers

Answer:

Your answer is A

Step-by-step explanation:

By using substitution method, we obtained the solution of equations (3, 3).

The given linear system of equations are 6x+3y=27 and 5x+2y=21.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Using substitution method we can solve given equations

6x+3y=27 can be written as 2x+y=9 ----------(I)

5x+2y=21 ----------(II)

From equation (I), we have y=9-2x

Substitute y=9-2x in equation (II), we get

5x+2(9-2x)=21

⇒ 5x+18-4x=21

⇒ x=21-18

⇒ x=3

Substitute x=3 in equation (I), we get

2(3)+y=9

⇒ y=3

Therefore, by using substitution method, we obtained the solution of equations (3, 3).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

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What is the mean average deviation (MAD) of the data set shown below? Round your answer to the nearest tenth when necessary.

Answers

Answer:

18

Step-by-step explanation:

to find the MAD you add all of the numbers first 22+19+30+13+17+21+8+15+12+23= 180

then you divide it by how many numbers there are for instance there are 10 because there are 10 pairs of numbers then you divide it by 180 and you get 18

hope it helped :)

Find Missing Side
Instructions: Find the missing side. Round your answer to the nearest tenth.
help plz​

Answers

Answer:

8.5 units

Step-by-step explanation:

x is the adjacent side, the side that's 19 units is the opposite side.

Given the adj and the opp sides, use tangent.

tanθ= opp/adj

tan 66°= 19/ x

x(tan66°)= 19

x= 19/(tan 66°)

x= 8.5 units (nearest tenth)

What is a Stem-and-Leaf plot?
4-5 sentences.

Answers

Answer:

A stem and leaf plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit). The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.

Step-by-step explanation:

Example: Long Jump

Sam got his friends to do a long jump and got these results:

long jump

2.3, 2.5, 2.5, 2.7, 2.8 3.2, 3.6, 3.6, 4.5, 5.0

And here is the stem-and-leaf plot:

Stem Leaf

2 3 5 5 7 8

3 2 6 6

4 5

5 0

Stem "2" Leaf "3" means 2.3

Note:

Say what the stem and leaf mean (Stem "2" Leaf "3" means 2.3)

In this case each leaf is a decimal

It is OK to repeat a leaf value

5.0 has a leaf of "0"

Match each statement (term) with its value in relation to 0 (definition). Match Term Definition

Answers

Answer:

Step-by-step explanation:

a building is 35ft tall=35

the scuba diver was 35ft below sea level=-35

the basement is 7.6ft below ground=-7.6

oliver owes his sister $23=-23

erica jumped 2.3ft above ground=2.3

Answer:

a building is 35ft tall=35

the scuba diver was 35ft below sea level=-35

the basement is 7.6ft below ground=-7.6

oliver owes his sister $23=-23

erica jumped 2.3ft above ground=2.3

Step-by-step explanation:

If the rectangle below is enlarged by a scale factor of 1.8, what will be the perimeter of the new rectangle? 39.4 units 43.2 units 45.6 units 48.2 units

Answers

Answer:

43.2 units

Step-by-step explanation:

On this problem you would just find the perimeter which is 2(l+w) and that is 24 units and after you do that you would just have to multiply the perimeter 24 times 1.8 which would leave you with and answer of 43.2 units.

Answer:

New length = 3.5 x 8 = 28 cm

New width = 3.5 x 6 = 21 cm

Step-by-step explanation:

Perimeter = 2(28) + 2(21) = 56 + 42 = 98 cm

Area = 28 x 21 = 588 square cm

Hi. Please i need help with these questions ; 1. I spent 7/32 of my income housing , 1/4 of it on food and 1/8 of it on transport . What fraction of my income do i have left a . 7/32 b 9/32 c. 13/32 d. 15/32 e. 19/32 workings please

Answers

Answer:

C: 13/32

Step-by-step explanation:

Change 1/4 and 1/8 into 4/32 and 8/32 and add them up with the 7/32 and then subtract the top and you have your answer

Answer:

13/32 left over.

Step-by-step explanation:

First, you would want to convert the 1/4 and 1/8 to ?/32. You would get: 7/32 on housing, 8/32 on food, and 4/32 on transportation.

To get those numbers this is what you do: 1/4 was spent on food. 32 divided by 4 is 8. So that would be 8/32. I hope you understand, because I'm not that good at explaining!

Then you add those up: 7/32 + 8/32 + 4/32. You would get 19/32 as your total, which means you have 13/32 left over. I hope this helped!

Does anyone know this one! Thanks

Answers

Answer: 22.4 cm!

Step-by-step explanation:

If you have the measurements of one side of an equal sided octagon, then you multiply that number (which in this case is 2.8) by 8. Hope this helps!

Match the number with its opposite.

Answers

Answer:

3.2 matches with (A) -3.3

-2.3 matches with (C) 2.3

-1.5 matches with (B) 1.5

5.1 matches with (D) -5.1

3.2 matches with -3.2,-2.3 matches with 2.3, -1.5 matches with 1.5 and 5.1 matches with -5.1.

Which equation has a graph that is perpendicular to the graph of 4x - 2y = 1?
Select one:
O a. y = -2x + 8
O b. 6x - 3y = 9
O c. 2x + 4y = -1

Answers

Answer:

C

Step-by-step explanation:

2 is the opposite of -1/2, so reciprocals line up for perpendicularity

The answer is C:2x+4y=-1

30 points will give brainliest to whoever gets it right

Answers

Answer:

8(.5)^x

Step-by-step explanation:

This is only broken up into two main parts: the "a" and the "b" of the equation.The "a" is the y-coordinate when x is at 0 and the y-coordinate is 8 there so that fills it in.The "b" is the rate at which for every time x increases by 1, the y decreases by a portion of its current. In this case, every time the x increases by one, the y value cuts in half which means the rate is .5 or one half.Therefore, the answer is 8(.5)^x
Yep the other person got it right

Can anyone help with this thanks guys!

Answers

Answer:

450m squared

Step-by-step explanation:

bc my last answer was wrong (:

Answer:

450 m²

Step-by-step explanation:

The formula for area of a rectangle is A = lw.  You are given the length (30 m) and the width (15 m).  Plug in the numbers and solve for A.

A = lw

A = (30 m)(15 m)

A = 450 m²

The area of the rectangle is 450 m².

Need help combining like terms!! PLS

Answers

Answer:

1 - 9/7n

Explanation:

1/7 - 3(3/7n - 2/7)

distribute the 3 with the 2 fractions inside the parenthesis

1/7 - 9/7n + 6/7

add like terms (1/7 + 6/7)

7/7 - 9/7n

or

1 - 9/7n

Answer:

1 -9 sevenths n

step-by-step explanation:

simplify the expression
[tex]8p + 10 + - 2p - 1 + 10[/tex]

Answers

Answer:

6p+19

Step-by-step explanation:

combine like terms:

8p+10+-2p+-1+10

(8p+-2p)+(10+-1+10)

6p+19

HOPE THIS HELPS!!!!!!:)

please help with this​

Answers

Answer:

158m^3

Step-by-step explanation:

First, let's figure out the total amount of water in the tank.

It measures 4.5m by 6m by 8m. The volume of a rectangular prism is V=lwh.

Therefore, the volume is:

[tex]V=(4.5)(6)(8)=216 m^3[/tex]

We are told is it filled to the brim, so we can conclude that there are 216 cubic meters of water in the tank.

We used 58 cubic meters of water, so we simply need to subtract that from 216:

[tex]216m^3-58m^3=158m^3[/tex]

There is still 158 cubic meters of water left in the tank.

Answer:

158 m^3

Step-by-step explanation:

Volume of the tank

= 4.5 * 6 * 8

= 216 m^3.

So amount left in the tank

= 216 - 58

= 158 m^3.

A =3x2+4x+1,B=5x2−3x+8,C=4x2−7x−3, find the value of B + C –A.

Answers

Answer:

6x^2 - 14x + 4.

Step-by-step explanation:

5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)

=  5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1

= 6x^2 - 14x + 4.

Solve the following equations and inequalities showing all work.
18.1/2(x - 5) + 1 = 2x +4
19.3-x>-3
20. - x = 12
21. -2 = 8
22. –1 + 3 = 3 +
5
23.4 - (5x + 6) = 18 - 3x
24.-6x + 24 = 4x - 15(x-3)
25.4(x – 3) 12 =(x-3)
26. (15x 2) (-2) = x + 4

Answers

Answer:

See the answers in the pics

Step-by-step explanation:

Srry, I didn't quite understood the last two equations

but I hope that from now on you will know how to solve equations and inequalities like this ;]

Answer:

LLLLLLLLLLLLLl

Step-by-step explanation:

What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the power of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2?

Answers

Answer

the third(5/2)

Step-by-step explanation:

[(5^(-3))*(2^2)*(5^6)]/[(2^3)*(5^2)]

=[(5^3)*(2^2)]/[(2^3)*(5^2)]

=[5^(3-2)]*[2^(2-3)]

=5*(1/2)

=5/2 or 2.5

Answer:

5/2

Step-by-step explanation:

Hope it helps!!

Btw it was right on the test!!

Simplify 27^2. _______ a0 Simplify 13^2. _______ a0

Answers

Answer:

Step-by-step explanation:

27^2 = 729

13^2 =169

Answer:

1) [tex]\boxed{729}[/tex]

2) [tex]\boxed{169}[/tex]

Step-by-step explanation:

1) 27²

This means 27 is being multiplied 2 times.

So,

=> 27*27

=> 729

2) 13²

This means 13 is being multiplied 2 times

So,

13*13

=> 169

HELPPPP HURRYYYYYYY A bag contains 150 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 9 red marbles, 15 green marbles, and 6 blue marbles. Predict how many green marbles are in the bag.

Answers

Answer:

75 green marbles

Step-by-step explanation:

From the information given in the question, we can create a ratio representing all the marbles in the bag.

9 red:15 green:6 blue

We need to find the total number of times the student drew a marble by finding the sum

9+15+6= 30

The sample size is 30

150 is 5x the amount of 30, that means we need to multiply the given information by 5 to predict the number of green marbles

9x5=45

15x5=75

6x5=30

Now we have 45 red: 75 green: 30 blue

Based on the given information, we can predict that the bag contains 75 green marbles

Carla bought quail eggs for 10 cents each. She bought 42 eggs. How much did she pay for
the eggs?

Answers

Answer:

420 cents or $4.20

Step-by-step explanation:

if each egg is 10 cents then

U MULTIPLY 42*10=X

420=X

SO 420 CENTS OR 4.20$

HOPE I HELPED

CAN I GET BRAINLIEST PLS?

                 -ZYLYNN

The equations in this sytem were added to solve for x. What is the value of x? Negative 8 x + 8 y = 8. 3 x minus 8 y = negative 18. Negative 5 x = negative 10. x = negative 2 x = negative one-half x = one-half x = 2

Answers

Answer:

change your cringe username please lol

Step-by-step explanation:

jk heres the answer D, x = 2

The Value of x would be as follows:

2

Find the value of x

Given that,

Important Equations:

[tex]-8x + 8y = 8[/tex]

(i) [tex]3x - 8y = -18[/tex]

(ii) [tex]-5x - 0 = - 10[/tex]

(iii) Solving equation

By equation

(iii) [tex]x = -10 / -5[/tex]

∵ [tex]x = 2[/tex]

Thus, [tex]2[/tex] is the value of x.

Learn more about "equation solving," refer

brainly.com/question/112509

Reflect the given preimage over y=−1 followed by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)

Answers

Answer:

Reflecting over y = -1 line:

A'(8, -10)

B'(10, -8)

C'(2, -4)

Reflecting over y = -7 line:

A''(8, -4)

B'(10, -6)

C''(2, -10)

Step-by-step explanation:

Reflect the given preimage over y=−1 followed

by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)

The coordinates of the preimage are:

A(8,8)

B(10,6)

C(2,2)

Answer: Reflecting over y = -1:

If a point is reflected over a y line, the x values remain the same while the y values change.

For point A(8, 8): The y distance between the y = - 1 line and point A is 9 units. (8- (-1)). If point A is reflected, the y value would be 9 units below the y = -1 line, i.e the new y coordinate would be at -10 (-1-9)

The new coordinate is at A'(8, -10)

For point B(10, 6): The y distance between the y = - 1 line and point B is 7 units. (6- (-1)). If point B is reflected, the y value would be 7 units below the y = -1 line, i.e the new y coordinate would be at -8 (-1-7)

The new coordinate is at B'(10, -8)

For point C(2, 2): The y distance between the y = - 1 line and point C is 3 units. (2- (-1)). If point C is reflected, the y value would be 3 units below the y = -1 line, i.e the new y coordinate would be at -4 (-1-3)

The new coordinate is at C'(2, -4)

Reflecting over y = -7 line:

For point A'(8, -10): The y distance between the y = - 7 line and point A' is 3 units. (-7- (-10)). If point A' is reflected, the y value would be 3 units above the y = -7 line, i.e the new y coordinate would be at -4 (-7+3)

The new coordinate is at A''(8, -4)

For point B'(10, -8): The y distance between the y = - 7 line and point B' is 1 units. (-7- (-8)). If point B' is reflected, the y value would be 1 units above the y = -7 line, i.e the new y coordinate would be at -6 (-7 + 1)

The new coordinate is at B'(10, -6)

For point C'(2, -4): The y distance between the y = - 7 line and point C' is 3 units. (-4- (-7)). If point C' is reflected, the y value would be 3 units below the y = -7 line, i.e the new y coordinate would be at -10 (-7-3)

The new coordinate is at C''(2, -10)

We can also see that h= −7−(−1)=−6. We know that two reflections is the same as a translation of 2h  units down. So 2(−6) is a translation of −12 units down.

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

Answers

Answer:

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

Step-by-step explanation:

If your original function is:

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

the translation of its graph vertically down one unit, can be obtained by simply subtracting 1 from the whole functional expression:

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

The answer would be Y=1/2x-2 +2
Have a nice day

5. a) A business company made a profit of Rs 24,00,000 in the last year. The management decided to distribute 20 % bonus from the profit to its 30 employees.

( i ) Find the bonus amount received by each employee.

(ii) By what percent should the bonus be increased so that each employee can receive Rs 20,000?

(iii) What should be the profit of the company so that it can provide Rs 20,000 to each employee at 20 % bonus?

Answers

Answer:

a) = Rs 16000

b) = 5%

c) = Rs 30,000,000

10% = 24,000,00/10 = Rs 240,000

20% = 240,000 x 2 = Rs 480,000

480,000/30 = Rs 16000

b) The bonus percentage needs to be increased by 5%

explanation:

Since every worker needs Rs 20000 we need to times it by 30

20000 x 30 = Rs 600,000

600,000 - 480,000 = Rs 120,000

Now we need to find the percentage of Rs 120,000

10% = Rs 240,000

5% = 240,000 divide by 2 = Rs 120,000

This is the best I can do for now please let me know if you understood the answer!

Answer:

1.Rs.16000

2.Bonus rate:25%

3.profit:Rs.3000000

Step-by-step explanation:

Case 1

Profit=Rs.2400000

Bonus Rate:20%

No.of employees =30

Now,

Bonus = (Bonus Rate of Profit) / no. Of employees

= 20% of Rs.2400000 / 30

= Rs. 16000

Case 2

Bonus=Rs.20000

Profit=Rs.2400000

Bonus rate=?

Now,

Bonus=bonus rate of profit / no. Of employees

Or,Rs. 20000 = Bonus rate × Rs. 2400000/30

Or, Rs. 20000=Bonus rate × Rs. 80000

Or,Rs.20000/Rs.80000 = Bonus rate

Bonus rate = 1/4=25%

Case 3

Bonus=Rs.20000

Bonus Rate = 20%

Now,

Bonus = bonus Rate of profit / no.of employees

Or, Rs. 20000 = 20% × Profit / 30

Or, Rs. 20000 × 30 / 0.2 = profit

Profit= Rs. 3000000

I hope it helped you

QUESTION 8
Simplify the expression
(5-4 (25)*)?
expressing the answer as a power of 5.

Answers

Step-by-step explanation:

Do you mean (5-4)*(25) or 5-4(25)

(5-4) * (25)

= 5^2

Or

5-4(25)

=5 - 100

=-95

?

Other Questions
Determine the t critical value for a lower or an upper confidence bound in each of the following situations. (Round your answers to three decimal places.)a. Confidence level = 95%, df = 10b. Confidence level = 95%, df = 15c. Confidence level = 99%, df = 15d. Confidence level = 99%, n = 5e. Confidence level = 98%, df = 23f. Confidence level = 99%, n = 32 What is the equation of the following line? Be sure to scroll down first to see all answer options.A.y = 18xB.y = 9xC.y = -9xD.y = - xE.y = -18xF.y = x On January 1, Boston Enterprises issues bonds that have a $3,400,000 par value, mature in 20 years, and pay 9% interest semiannually on June 30 and December 31. The bonds are sold at par. 1. How much interest will Boston pay (in cash) to the bondholders every six months ASAP!!! PLEASE help me with this question! Purple Corporation acquired 75 percent of Socks Corporations common stock on January 1, 20X8, for $435,000. At that date, Socks reported common stock outstanding of $300,000 and retained earnings of $200,000, and the fair value of the noncontrolling interest was $145,000. The book values and fair values of Socks's assets and liabilities were equal, except for other intangible assets, which had a fair value $80,000 more than book value and a 10-year remaining life. Purple and Socks reported the following data for 20X8 and 20X9Socks Corporation Purple Corporation Year Net Income Comprehensive income Dividends paid Operating income Dividens paid20X8 $40,000 50,000 15,000 $120,000 $70,000 20X9 60,000 65,000 30,000 140,000 70,000 Required: Compute consolidated comprehensive income for 20X8 and 20X9. 20X8 20X9 Consolidated comprehensive income Psychology 1AQuestion: Aldo forms mental images as he inputs information in his memory. This process iscalled_encoding.Answers:mentalopticalreflectivevisual 7A section of a rectangle is shaded.The area of the shaded section is 63 square units. Whatis the value of x?79 units11 unitsO 18 units21 units Please HELP me with this question! I am really struggling with this... In 1833 a ship arrived inCalcutta with 120 tons remaining of its cargo of ice. One third of the original cargo was lost because it had melted on the voyage. How many tons of ice was the ship carrying when it set sail? A.40 B.80 C.120 D.150 E.180 Sam invest $4000 in an account that compounds interest continuously and earns 5.5% how long will it take for his money to reach $80,000 round to the nearest 10th of a year Point A (3,4) and point C is at (2,6). Find the coordinates of point B on AC such that the ratio of AB to AC is 4:5. PLEASE HELP QUICK! Determine x value of: sqrt x + 8 - sqrt x - 4 = 2 (URGENT) Which of the following is an example of groupthink? A. The Bay of Pigs invasion B. The World Trade Center bombing C. The moon landing D. The election of Barack Obama Gilchrist Corporation bases its predetermined overhead rate on the estimated machine-hours for the upcoming year. At the beginning of the most recently completed year, the Corporation estimated the machine-hours for the upcoming year at 37,600 machine-hours. The estimated variable manufacturing overhead was $4.38 per machine-hour and the estimated total fixed manufacturing overhead was $1,026,856. The predetermined overhead rate for the recently completed year was closest to: Suppose that smoking creates a negative externality. If the government does not interfere in the cigarette market, then a. the equilibrium quantity of cigarettes smoked will equal the socially optimal quantity of cigarettes smoked. b. the equilibrium quantity of cigarettes smoked will be greater than the socially optimal quantity of cigarettes smoked. c. the equilibrium quantity of cigarettes smoked will be less than the socially optimal quantity of cigarettes smoked. d. There is not enough information to answer the question. which of the following is a characteristic of a weak acid? A. It does not conduct electricity in water B. It is not as dangerous as a strong acid C. It is less concentrated than a strong acid D. It does not dissociate completely in water An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that these 5 were on time a) What is population of interest? b) What is the sample? c) Was this a representative sample? Explain. d) How should the company determine the percentage of their flights that are on time? explain why the term Nano is used to describe nanotechnology Solve the following questionThe difference of two numbers is 12 and their sum is 20 find the numbers A pole that is 2.5 M tall cast a shadow that is 1.72M lawn dart at the same time a nearby tower cast a shadow that is 50.5 M long how tall is the tower round answer to the nearest meter