In a right triangle, one leg is 20 cm and the hypotenuse is 30 cm. To the nearest hundredth of a cm, find the length of the missing leg. Formula and diagram required. Include units in your answer.

Answers

Answer 1

Answer:

Step-by-step explanation:

Use Pythagoras’ theorem

square of hypotenuse = sum of squares of two other sides

let the missing side be d

30^2 = 20^2 + d^2

600 = 400 + d^2

d^2 = 200

d = square root of 200

d = 14.142 cm

Answer 2

Answer:

22.36

Step-by-step explanation:

For this question we need to utilise Pythagoras theorem. Pythagoras theorem states that a² + b² = c² so the sum of the leg's squared will equal the hypotenuse squared. In this question we are given the hypotenuse so we will have to rearrange the equation to find the value of the leg,

→ a² + b² = c²

⇒ Substitute in the values

→ 20² + b² = 30²

⇒ Simplify

→ 400 + b² = 900

⇒ Minus 400 from both sides to isolate b²

→ b² = 500

⇒ Square root both sides to find the value of the leg

→ b = 22.360679775 cm

The length of the missing leg is 22.36 cm to nearest hundredth considering one leg is 20 cm and the hypotenuse is 30 cm.


Related Questions

in the diagram below, p is circumscribed about quadrilateral abcd. what is the value of x

angle c= 88 degrees
angle a= x+10 degrees

Answers

Answer:

40

Step-by-step explanation:

Please Help
I need an answer ASAP

Please Help I need an answer ASAP

Answers

i believe the the answer is 27
I believe it’s right to

what is x in the equation
–7(x – 6) = -70

If you could help me I would really appreciate it!!​

Answers

X is 17
don’t hate me if it’s wrong pls :,) good luck my fellow homie

Answer:

-7(x-6)= -70

X-6=-70/-7

X-6=10

X=16

what is x in the equation 7(x 6) = -70If you could help me I would really appreciate it!!

A little help here? And can anyone explain this?

A little help here? And can anyone explain this?

Answers

Answer:


D.

Step-by-step explanation:


According to the dot plot,


3 students spend 0.5 minutes brushing their teeth.


2 students spend 1.5 minutes brushing their teeth.


1 student spends 2.5 minutes brushing their teeth.


2 students spend 3.5 minutes brushing their teeth.


1 students spend 4 minutes brushing their teeth.



So, the number set will be: {0.5, 0.5, 0.5, 1.5, 1.5, 2.5, 3.5, 3.5, 4}


Median: The middle number in a set that is ordered from least to greatest.


In this example, the median is 1.5


Mean: The sum of all values divided by the number of values.

In this set there are 9 values so we’ll divide the sum by 9

In this example, the mean would be:

(0.5 + 0.5 + 0.5 + 1.5 + 1.5 + 2.5 + 3.5 + 3.5 + 4) ÷ 9

18 ÷ 9 = 2


If we compare the mean to the median we can see that the mean is greater because 2 > 1.5


The right answer is D

Suppose you borrow money for a year at a simple interest rate of 7.2%. You pay $86.40 in interest. How much have you borrowed?

Answers

Answer:

  $1200

Step-by-step explanation:

You want to know the amount borrowed at 7.2% if the simple interest for one year is $86.40.

Interest

The interest formula is ...

  I = Prt

where P is the amount borrowed, r is the interest rate, and t is the number of years.

Application

Using the given values, we have ...

  86.40 = P·0.072·1

  P = 86.40/0.072 . . . . . . divide by the coefficient of P

  P = 1200

You have borrowed $1200.

Answer: 1200

Step-by-step explanation: Linear equation. 7.2x = 100(86.40). then divide by 7.2 on each side. x=1200

Start at (5, 4). Move 5 units east, 4 units south, 4 units west, 4 units north, and 1 unit west.
What is the ordered pair of the final point?

A) (6, 4)

B) (4, 5)

C) (5, 3)

D) (5, 4)

Start at (5, 4). Move 5 units east, 4 units south, 4 units west, 4 units north, and 1 unit west.What

Answers

Answer:

d) (5,4)

Step-by-step explanation:

Answer:

D. (5, 4)

Step-by-step explanation:

First, we need to know how coordinate [order] pair works.

(x, y)

That means, (5, 4) is 5 unit on the x-axis and 4 unit on the y-axis.

East means to the right on the graph (+) ;

South means going downward on the graph (-) ;

West means to the left on the graph (-) ;

North means going upward on the graph (+) .

So first, (5, 4) 5 units east meaning that we are moving the x-axis and moving right. 5 [in the order pair] + 5 [unit east] = 10

After the first step, we have (10, 4)

Moving (10, 4) 4 units south meaning that we are moving the y-axis and moving downward on the graph. 4 [in order pair] - 4 [unit south] = 0

After the second step, we have (10, 0)

Moving (10, 0) 4 units west meaning that we are moving the x-axis again and moving left this time. 10 [in order pair] - 4 [unit west] = 6

After the third step, we have (6, 0)

Moving (6, 0) 4 units north meaning that we are moving the y-axis again and moving upward on the graph. 0 [in order pair] + 4 [unit north] = 4

After the forth step, we have (6, 4)

Moving (6, 4) 1 unit west meaning that we are moving the x-axis again and moving left. 6 [in order pair] - 1 [unit west] = 5

After the final step, we have (5, 4)

Therefore, the answer to this question is D. (5, 4)

Though there is an easier version of this, which require some brain to do, but here's how-

Same above, we need to know that east and west moves sideways (east use +, west use -)

And north and south moves up and down (north use +, south use -)

And then we need to sort out how many steps moves sideways and how many steps moves up & down.

5 units east, 4 units west, and 1 unit west. And we put this in an equation for the x-axis. 5 [original] +5 [units east] -4[units west] -1[units west] = 5

Which would still get us 5 for the x-axis.

4 units south and 4 units north balanced out, which still is 4 for the y-axis.

Put the order pair together: (5, 4)

And we got the same answer: D. (5, 4)

I hope this helps!

Please mark brianliest!

Have a great day!

Do a and b please. Thanks.

Do a and b please. Thanks.

Answers

Answer:

(a).

Trapezium:

(25+100)÷2×50

=62.5×50

=3125m²

Parallelogram:

100×30

=3000m²

Total:

3125+3000

=6125m²

(a) Explanation:

Area of Trapezium=

(a+b)÷2×h

Area of Parallelogram=

length×wide

(b).

6125÷100×190

=61.25×190

=£11637.5

The person above me is correct
Explanation:
I did the test

How do you find the distance between A(0, 0) and B(2, 8)

C(-2, 3) and D(2, 8)
X(1, -5) and Y(6, 7)

Answers

Your answer is x and Y

someone please help me on this question

someone please help me on this question

Answers

Answer:

3.5 m

Step-by-step explanation:

Use sine.

1. Set up the equation using sin = opposite / hypotenuse

sin 59 = 3/x

2. Solve

x = 3.5

The answer is going to be 3.5m

b. 5 times the sum of 7 and 23

Answers

Answer:

150

Step-by-step explanation:

7 + 23 = 30

30 * 5 = 150

Feel free to make me brainlyest!

Answer:

150

Step-by-step explanation:

The sum of 7 and 23 is 30, am I right? 5 multiplied by 30 is 150. Therefore, the answer to B is 150.

he scatter plot and line of best fit below show the length of 14 people's femur (the long leg bone in the thigh) and their height in centimeters. Based on the line of best fit, what would be the predicted femur length for someone with a height of 229 cm?

he scatter plot and line of best fit below show the length of 14 people's femur (the long leg bone in

Answers

72 centimeters......

100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Mr. Harris graded papers at the end of the school day. The table below shows how many papers he graded in minutes.


Minutes Number of papers graded
4 2
16 8
20 10
24 12


At this rate, how many papers will Mr. Harris grade in 60 minutes?
30 papers
36 papers
48 papers
52 papers

Answers

30,

in 20, he can grade 10 papers, 20x3 is 60,
10x3 is 30.

hope this helps

Answer:

30

Step-by-step explanation:

it is simply 30

I need help arranging cards in a 4 x 4 grid with numbers 1-9 so that the sum of each row and each column is 20. This what the grid looks like:

Answers

Answer:

8, 2, 8, 2

7, 3, 7, 3

6, 4 6, 4

9, 1, 9, 1

Step-by-step explanation:

In the picture, it shows two of each number so I'm gonna base it off the picture but let me know if I should base it off the wording.

So we know that half of 20 is 10. This will be valuable information. So we need the sum of two numbers to equal 10. So for the rows we can just do 8+2+8+2, 7+3+7+3, 6+4+6+4, 9+1+9+1.

Since there are 18 numbers, I'm assuming we don't have to use all of them.

It’ll always be 8 and 8

Find the surface area of a top open cylinder

12 in radius
2 in height

Find the surface area of a top open cylinder 12 in radius 2 in height

Answers

The surface area of the top open cylinder is 6810.149 sq.cm.

A cylinder is a three-dimensional solid that consists of two congruent surfaces (bases) and one lateral surface.

Surface area of a cylinder = Base area + Lateral area

Base area of a cylinder = 2 × π × r²

Lateral area of a cylinder = (2 × π × r) × h

Therefore, here base area of a cylinder = 2× π × 12²

                                                                  = 5837.27 sq.cm.

And, lateral area of a cylinder = (2 × π × 12) × 2

                                                  = 972.8784 sq.cm.

Therefore, total surface area of a cylinder = 5837.27 + 972.8784

                                                                      = 6810.149 sq.cm.

To know more about surface area:

https://brainly.com/question/951562

Surface Area: 6810.15 cm^2

Please help I will mark you as a brainliest

Please help I will mark you as a brainliest

Answers

Answer:

A,B,D

Step-by-step explanation:

A: 4-10=-6. -6=-n 6=n (negatives cancel)

B: 3*2=6 n=6

D: 48/8=6 n=6

∑ Hey, js1012201 ⊃

Answer:

(A) 4 = 10 - n

(B) 3 = n/2

(D) 8n = 48

Step-by-step explanation:

Given:

Select all the equations where n = 6 is a solution.

Choose 3 answers:
(A) 4 = 10 - n

(B) 3 = n/2

(C) 12 = n + 7

(D) 8n = 48

(E) 5 + n = 8

Solution:

Let's solve each answer choices to see where n = 6 is a solution:

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

(A) 4 = 10 - n

4 + n = 10 - n + n

4 + n = 10

4 + n -4 = 10 - 4

n = 6

(A) n = 6

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

(B) 3 = n/2

Multiply both sides by 2

2n/2 = 3 × 2

n = 6

(B) n = 6

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

(C) 12 = n + 7

Subtract both sides by 7

n + 7 -7 = 12 - 7

n = 5

(C) n = 5

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

(D) 8n = 48

Divide both sides by 8

8n/8 = 48/8

n = 6

(D) n = 6

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

(E) 5 + n = 8

Subtract 5 from both sides

5 - 5 + n = 8 - 5

n = 3

(E) n = 3

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

xcookiex12

8/19/2022

To which set or sets does the number 8 belong?



Group of answer choices

rational numbers only

integers

integers, and rational numbers only

whole numbers, integers, and rational numbers

Answers

Answer:

whole numbers only

Step-by-step explanation:

Answer:

Whole numbers, integers, and rational numbers

Step-by-step explanation:

Does anyone have the answer key to "Understand Systems of Linear Equations I-ready level H instruction?"

Answers

Answer:

no bro, sorry. even though I needed to I don't have it

A coordinate plane. A line goes through the point (–2,3) and has a slope of –4. What is the y-intercept of the line?

Answers

Answer:

slope m =  –4

equation

y - 3 = -4(x + 2)

y - 3 = -4x - 8

y = -4x - 5 where slope = -4 and y intercept = b = -5

Answer

Y intercept (0, -5)

Step-by-step explanation:

I think the answer is y (0 -5)

Match the vocabulary word with its definition.

1. a mathematical statement that shows two expressions are equal using an equal sign
solve
2. a value of the variable that makes an algebraic sentence true
solution
3. to find the solution(s) to an equation
equation

Answers

Answer:

3=solve

1=equation

2=solution

Step-by-step explanation:

1. Equation
2. Solution
3. Solve

Find x and y. pls help

Find x and y. pls help

Answers

Answer:

y = 21

x = 8

Step-by-step explanation:

AB = 180

27 + 3y = 90°

-27           -27

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

3y = 63

÷3     ÷3

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

y = 21

x + 27 + 3y + 8x + 18 = 180

9x + 45 + 3(21) = 180

9x + 45 + 63 = 180

9x + 108 = 180

      -108   -108

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

9x = 72

÷9    ÷9

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

x = 8

I hope this helps!

Y = 21
X = 8

We can figure out Y by finding the right angle. A right angle is 90 degrees so we start out with:
90-27
Then,
63/3
21.
Do the same for X to get 8

The amount y (in dollars) that you raise by selling x fundraiser tickets is represented by the equation y=5x.


Interpret the slope.


Each ticket costs $

Answers

Simplify
√0.444 = 2.667
Solution does not check
0.667 ≠ 2.667

According to the frequency chart below, how many people have two or more brothers and sisters?

A. 39
B. 30
C. 20
D. 10

According to the frequency chart below, how many people have two or more brothers and sisters?A. 39B.

Answers

Answer:

B. 30

10+15+3+2=30

the answer is 30 :) add up the numbers

Refer to the image below.

Refer to the image below.

Answers

Answer:

Median and mode because it is the digit in the middle aka the median and because it is the number that it is the most repeated aka the mode

Step-by-step explanation:

Answer: mode and median

How do I create an equation and solve for x

How do I create an equation and solve for x

Answers

Answer:

Equation: (2x + 30) + 106 = 180

x = 22°

Step-by-step explanation:

We know that the missing angle from within the triangle and the expression 2x + 30 makes 180 so we can say;

180 - (33 + 41) = missing angle

180 - 74 = missing angle

106° = missing angle

Now we can set up our equation to solve for x:

(2x + 30) + missing angle = 180°

(2x + 30) + 106 = 180° => This would be our equation:

Now let's solve:

2x + 30 + 106 = 180°

2x + 136 = 180

2x = 180 - 136

2x = 44

x = 44/2

x = 22°

Hope this helps!

Answer:

x = 22

Step-by-step explanation:

To solve this the first thing you would need to do is solve the angle that is unmarked in the triangle. To do this you would use the knowledge that the interior agnles of triangles alwasy equal to 180 degrees.

In this case, you would add 33 + 41 = 74 and then you would

subtract 180 - 74 = 106

The next step would be to find the question mark 2x + 30 =  ?

To do this you would have to use the 106 degrees from the previous step.

Knowing that (2x + 30) + 106 = 180 degrees this should be easy to solve.

(the angles on either side of a line that is split always add to equal 180 degrees)

You would then subtract 180 - 106 = 74

Now we know that 2x + 30 = 74

Now you would subtract 30 fom both sides to find that 2x = 44

All you have to do now is divide each side by to find that x = 22

List all the numbers you can for (?) in the fraction ?/10. Each choice must be less then ten, and the fraction formed must be in simplest form [For the ones who can't read what it says.]

List all the numbers you can for (?) in the fraction ?/10. Each choice must be less then ten, and the

Answers

Answer:

1, 2, 3, 4, 5, 6, 7, 8, and 9.

Step-by-step explanation:

1, 3, 4, 7, 9 are all the possible answers

The data given represents the number of gallons of coffee sold per hour at two different coffee shops.


Coffee Ground
1.5 20 3.5
12 2 4
11 7 2.5
9.5 3 5
Perks A Lot
10 3.5 3
5 2.5 7
8 5.5 9.5
6 9 4.5


Compare the data and use the correct measure of center to determine which shop typically sells the most amount of coffee per hour. Explain.
Perks A Lot, with a mean value of 6.125 gallons
Perks A Lot, with a median value of 6.125 gallons
Coffee Ground, with a mean value of 6.75 gallons
Coffee Ground, with a median value of 6.75 gallons

Answers

The answer is .c. Brainlist pls
To compare the amount of coffee sold per hour at the two coffee shops, we need to calculate the measures of center for each shop. The measures of center are the mean and median.

To calculate the mean, we add up all the values and divide by the total number of values. To calculate the median, we arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, we take the average of the two middle values.

Using these methods, we get:

For Coffee Ground:
Mean = (1.5 + 20 + 3.5 + 12 + 2 + 4 + 11 + 7 + 2.5 + 9.5 + 3 + 5) / 12 = 6.75 gallons
Median = (2 + 2.5 + 3 + 3.5 + 4 + 5 + 7 + 9.5 + 11 + 12 + 20 + 9.5) / 2 = 6.75 gallons

For Perks A Lot:
Mean = (10 + 3.5 + 3 + 5 + 2.5 + 7 + 8 + 5.5 + 9.5 + 6 + 9 + 4.5) / 12 = 6.125 gallons
Median = (3.5 + 3 + 4.5 + 5 + 5.5 + 6 + 7 + 8 + 9 + 9.5 + 10 + 2.5) / 2 = 6.125 gallons

Based on these calculations, we can see that both shops have the same median value of 6.75 gallons. However, the mean value for Coffee Ground is slightly higher at 6.75 gallons compared to Perks A Lot's mean value of 6.125 gallons.

Therefore, we can conclude that Coffee Ground typically sells the most amount of coffee per hour, based on the mean value. However, since the median values are the same for both shops, it's possible that there is some variability in the amount of coffee sold at each shop, and further analysis may be necessary to make a more definitive conclusion.

I do not understand this can someone help pls

I do not understand this can someone help pls

Answers

Answer:

58

Step-by-step explanation:

Ok So do you see the right angle square that equals 90 so all you have to do is subtract 32 from 90 which is 58

I believe x would be 58

So the angle where 32 and x are in show the 90 degree angle line, so you would subtract 32 from 90; 90-32= 58

Explaining the other points , you would use the same process. A whole thing is 360 degrees

It is broken up by one straight line the breaks them into 2 sections of 180

The bottom one has a known value of 120

180-120=60

The top one is divided into three parts, and one is a divided 90 angle, so the other side would be 90 degrees

Hope this helps, I don’t know if you needed this much but still. Please correct me if I am wrong, have a good day!

This year, Brad is a photographer for his school newspaper. He takes 5 color photos for every 2 black-and-white photos.
Complete the table.
Color photos 5 15
30
Black-and-white photos 2
8

Answers

Color 5 - 2 Black-and-White

Color 10 - 4 Black-and-White

Color 15 - 6 Black-and-White

Color 20 - 8 Black-and-White

Color 25 - 10 Black-and-White

Color 30 - 12 Black-and-White

Answer:

Colored photo           I           Black photo

5                                                               2

10                                                              4

15                                                              6

20                                                             8

25                                                            10

30                                                            12

35                                                            14

40                                                            16

45                                                            18

50                                                           20

Q- Write the nth term, generalized statement, and the 100th term of the given number sequence. (Need answer urgent!!....... WILL MARK AS BRAINLIEST!!)
1) 1,2,3......
2) 2,4,6.....
3) 3,5,7......
4) 1,4,7,10
5) -1,-2,-3

Answers

Answer:

1) n

2) 2n

3) 2n+1

4) 3n-2

5) -n

Step-by-step explanation:

To write a generalized statement for a pattern using n, we multiply n by the common difference between each term. We add the term number before the first term to this.

1) 1, 2, 3...

For the first question, the common difference is 1 because each term increases by 1. Multiply n by 1.

1n

To find the term number before the first term, we subtract 1 from the first term.

1-1=0

Therefore, our general statement is 1n+0, or just n.

2) 2, 4, 6...

The common difference is 2 because we add 2 each time. Multiply n by 2.

2n

The term number before the first term is equal to the first term - the common difference.

2-2=0

Therefore, our general statement is 2n+0, or just 2n.

3) 3, 5, 7...

The common difference is 2 because we add 2 each time. Multiply n by 2.

2n

The term number before the first term is equal to the first term - the common difference.

3-2=1

Therefore, our general statement is 2n+1.

4) 1, 4, 7, 10...

The common difference is 3 because we add 3 each time. Multiply n by 3.

3n

The term number before the first term is equal to the first term - the common difference.

1-3=-2

Therefore, our general statement is 3n+(-2), or 3n-2.

5) -1, -2, -3...

The common difference is -1 because we subtract 1 each time. Multiply n by -1.

-1n

The term number before the first term is equal to the first term - the common difference.

-1-(-1)

= -1+1 (because two negatives make a positive)

= 0

Therefore, our general statement is -1n+0, or just -n.

I hope this helps!

Here are all the 5 bits.
Hope this helps!!
Q- Write the nth term, generalized statement, and the 100th term of the given number sequence. (Need

A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. When comparing the shape of the two sets of data, what conclusion can someone draw? The students tend to have fewer siblings than the teachers. The teachers tend to have fewer siblings than the students. Both the students and the teachers have a wide range of siblings. Both sets of data have the same shape. the answer is- a. The students tend to have fewer siblings than the teachers.

Answers

Answer:

A. The students tend to have fewer siblings than the teachers.

Step-by-step explanation:

First we need to draw the dot plots correctly. If you count both sides they have 20 each.

Now, clearly none have fewer nobody here yet has more or less but going on to the next step.

Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14.  And so on.

On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.

So the answer is A. The students tend to have fewer siblings than the teachers.

Answer:

The sum is A

Step-by-step explanation:

Just ma duty to help the community

Other Questions
What made the Paxton family vulnerable to attacks? suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually? how much money will be in that account at the end of 4 years? explain how linkage mapping, physcial mapping, and dna sequencing each contributed to the genome mapping project a coffee retailer has two grades of decaffeinated coffee beans, one wholesales at $4.00 a pound and the other for 6.50 a pound. she wishes to blend the beans to form a 150 pound mixture that sells wholesale for 4.75 a pound. how many pounds of each grade of bean should she use in the mixture? The final closing entry to be journalized is typically the entry that closes the? find the partial derivatives indicated. assume the variables are restricted to a domain on which the function is defined. z=(x4 xy)7. zx= which clinical indicator would the nurse monitor to determine if the client's simvastatin is effective What does infrared radiation give off more energy than radiowaves? sharya believes that people are largely motivated to behave certain ways because of their patterns of thought and judgments Please help!! And Add Explanation if youd like The OS peripheral devices are categorized into 3: Dedicated, Shared, and Virtual. Explain the differences among them and provide an example of devices for each category.The queue has the following requests with cylinder numbers as follows:98, 183, 37, 122, 14, 124, 65, 67Assume the head is initially at cylinder 56.Based on the information given above, discuss the following disk scheduling algorithm. You are required to draw a diagram to support your answer.First Come First Serveii.Shortest Seek Time First (SSTF)iii.SCAN algorithm assume the given amount of rbf fully dissociates in water. calculate the molarity of a solution if 124.86 g of rbf are dissolved into a solution of water that has a final volume of 2.00 l. Which religion considers Jesus of Nazareth to be a prophet of God and isbased on principles known as the Five Pillars?A. IslamB. BuddhismC. JudaismD. Christianity On november 26, civic company purchased $1,200 of supplies on account. the journal entry to record this transaction will include? Determine an interest rate less than 15%, a period of investment greater than two years, and a regular payment that will result in the total amount of interest you earn being equal to the total amount of money you put in?for example, under what conditions will you have a future value of $1 000 000, having earned $500 000 interest?) An item is originally priced $25. It is on salefor 15% off. What is the sale price? In three sentences, describe who is going where, and what they are going to do there.Example: Voy al mercado y voy a comprar la comida.*Note: This is a practice activity. Completing this activity will not only prepare you for future tests and assessments but, more importantly, it will enhance your language ability. This activity will not count towards your grade. Liam and his children went into a restaurant and where they sell drinks for $2 each and tacos for $3.50 each. Liam has $30 to spend and must buy at least 9 drinks and tacos altogether. If Liam decided to buy 5 tacos, determine the maximum number of drinks that he could buy. If there are no possible solutions, submit an empty answer. To win an election in Ghana, a presidential candidate must have 50% plus one of the total valid votes counted.assuming x and y are two presidential candidates for party manU and Chelsea respectively, write a program to request for the total valid votes counted,total valid vote for x and y should any of them obtain 50% plus one of the total valid votes counted that candidate should be declared as winner if none of them obtained the 50% plus one of the total valid votes counted. The program should request for a re-run of the election Which line from the text is the best example of the use of imagery by the author?There came a rumbling noise out of its depths, louder and louder, and nearer and nearer, and sounding like the tramp of horses' hoofs and the rattling of wheelsProserpina's first thought was to call for her mother, but her voice was too quiet to be heard by anyone other than the richly dressed manIt is my opinion that even King Pluto had never been happy in his palace, and that this was the true reason why he had stolen away ProserpinaNext they crossed over the River Lethe, a magical stream that makes people forget every care and sorrow