2. A vertical stick 10 cm long casts a shadow 8 cm long. At the same time a tower casts a
shadow 30 m long. Determine the height of the tower.

Answers

Answer 1

Answer:

The height of the tower is:

24 meters

Step-by-step explanation:

1 meter = 100 centimeters

10 centimeters = 10/100 = 0.1 meters

8 centimeters = 8/100 = 0.08 meters

On a three rule:

0.1 meters is to 0.08 meters

30 meters is to A meters

A = 30*0.08/0.1

A = 24 meters

Related task:

https://brainly.lat/tarea/14821170


Related Questions

Select the correct answer. The capacity in cubic feet of a cylindrical silo is given by the function C(x), where x is the radius of the silo in feet. The area of the circular base of the silo is given by the function A(x). C(x) = 6.28x3 + 18.84x2 A(x) = 3.14x2 Which function, H(x), represents the height of the silo? H(x) = x + 3 H(x) = 2x − 6 H(x) = 2x + 6 H(x) = x − 3

Answers

Answer:

C. H(x) = 2x+6

Step-by-step explanation:

Volume of the cylindrical silo = Area of its circular base × Height

Volume of the cylindrical silo = πr²×H

If the area of the circular base of the silo is given by the function A(x), the volume is given by C(x) and the height is given by H(x), the formula can be expressed as;

C(x) = A(x) × H(x)

The height of the cylindrical silo will be;

H(x) = C(x)/A(x)

Given C(x) = 6.28x³ + 18.84x² and

A(x) = 3.14x²

H(x) = 6.28x³ + 18.84x²/3.14x²

H(x) = x²(6.28x+18.84)/3.14x²

H(x) = (6.28x+18.84)/3.14

H(x) = 3.14(2x+6)/3.14

H(x) = 2x+6

Hence, the function, H(x) that represents the height of the silo is 2x+6.

you are having a pizza making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (including myself the host) Once you have a total count of guests you have exactly the amount needed for ingredients. the dough and sauce that I have is 130 ounces all together. How many ounces of dough did I buy? Explain How many ounces of sauce did I buy? Explain How many guests are coming to the party? Explain

Answers

Answer:  78 ounces of dough was bought.

52 ounces of sauce was bought.

There were 13 guests .

Step-by-step explanation:

Let x = Number of guests

As per given, For each person 6 ounces of dough and 4 ounces of sauce is required.

i.e. Total ounces of dough and sauce together required = 6+4=10

The dough and sauce is 130 ounces all together.

i.e. [tex]10x=130[/tex]

Divide both sides by 10 , we get

x= 13

i.e. there were 13 guests .

Total ounces of dough = 6 x ( Number of guests) = 6 x 13= 78 ounces

hence, 78 ounces of dough was bought.

Total ounces of sauce = 4 x ( Number of guests) = 4 x 13= 52 ounces

hence, 52 ounces of sauce was bought.

The total ounces of dough is 78 ounces

The total ounces of sauce is 52 ounces

The total number of guests is 13

The equation that can be used to represent the question given is:

6a + 4a = 130

Where a represents the number of guests at the party.

The above equation means that the total ounces of dough and sauce bought is a function of the number of guests at the party. These total ounces is equal to 130.

6a + 4a = 130

10a = 130

a = 130 / 10

a = total number of guests = 13

The total ounces of dough = 13 x 6 = 78 ounces

The total ounces of sauce = 13 x 4 = 52 ounces

A similar question was solved here: https://brainly.com/question/16430804?referrer=searchResults

Given each set of vertices, determine whether PQRS is a rhombus, a rectangle, or a square. List all that apply. Explain your reasoning, P(-2, -3). Q(2, - 6). R(6. - 3). S(2, 1)

Answers

Answer:

Rectangle

Step-by-step explanation:

Given the coordinates P(-2, -3). Q(2, - 6). R(6. - 3). S(2, 1), to determine the type of shape the quadrilateral is, we need to find the measure of the sides. To get the measure of each sides, we will take the distance between the adjacent coordinates using the formula to formula for calculating the distance between two points as shown;

D = √(x₂-x₁)²-(y₂-y₁)²

For the side PQ with the coordinate P(-2, -3). Q(2, - 6)

PQ = √(2-(-2))²-(-6-(-3))²

PQ = √(2+2)²-(-6+3)²

PQ = √4²-(-3)²

PQ = √16-9

PQ = √7

For the side QR with the coordinate Q(2, - 6) and R(6, -3)

QR = √(6-2))²-(-3-(-6))²

QR = √(4)²-(3)²

QR = √16-9

QR = √7

For the side RS with the coordinate R(6. - 3) and S(2, 1)

RS = √(2-6)²-(1-(-3))²

RS = √(-4)²-(1+3)²

RS = √16-(4)²

RS = √16-16

RS = 0

For the side PS with the coordinate P(-2, -3) and S(2, 1)

PS = √(2-(-2))²-(1-(-3))²

PS = √(4)²-(1+3)²

PS = √16-(4)²

PS = √16-16

PS = 0

For the quadrilateral to be a rectangle, then two of its sides must be equal and parallel to each other. A rectangle is a plane shape that has two of its adjacent sides equal and parallel to each other. Since two of he sides are equal i.e RS = PS and PQ = QR then the quadrilateral PQRS is a rectangle. Both rhombus and square has all of its sides equal thereby making them wrong.

Valerie had a jug that contained 128 fl oz of salsa to put into bowls at a restaurant. She filled each bowl with 6 fl oz of salsa until there was not enough salsa left in the jug to completely fill another bowl. How many fluid ounces of salsa were left in the jug?

Answers

Answer: 2 fl oz

Step-by-step explanation:

Division with remainders

128/6=21.33333..

[tex]21\cdot 6=126[/tex]

128-126=2

2 fl oz was left in the jug

What is 5/7 subtracted by 2/5

Answers

Answer:

11/35

Step-by-step explanation:

A basketball player scored 9 points in two games. What could her scores in each of the games be? This question helps children think about a problem for which there's a range of possible answers. For young children, decomposing numbers within 10 is an important reasoning strategy. There are ten possible answers, for whether the players scored 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 points in Game 1. Changing the number of points is a way to tailor the question for individual needs.

Answers

Answer:

The correct ans is...

4 and 5

Hope this helps....

                        Pls mark my ans as brainliest

What is the solution to the system of equations?
y= 2/3x+3
x = –2

Answers

Answer:

[tex]x = -2[/tex] and [tex]y = \frac{5}{3}[/tex]

Step-by-step explanation:

Given

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

[tex]x = -2[/tex]

Required

Determine the solution to the equations

From the second equation, we have the value of x already;

The next step is to substitute -2 for x in the first equation

[tex]y = \frac{2}{3}x + 3[/tex] becomes

[tex]y = \frac{2}{3}(-2) + 3[/tex]

[tex]y = \frac{-4}{3} + 3[/tex]

[tex]y = -\frac{4}{3} + 3[/tex]

Take LCM

[tex]y = \frac{-4 + 9}{3}[/tex]

[tex]y = \frac{5}{3}[/tex]

Hence,

[tex]x = -2[/tex] and [tex]y = \frac{5}{3}[/tex]

What true bearing is WSW equivalent to?

Answers

Answer:

S 67.50° W

Step-by-step explanation:

Beth says that the graph of g(x)=x-5+1 is a
Translation of 5 units to the left and 1 unit up of
F(x)=x
She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x) is Beths description of the transformation correct? Explain

Answers

Answer:

(-15,3)

Step-by-step explanation:

Answer:

No, Beth is not correct. The function g(x) has an h value of 5 and a k value of 1. This would be a horizontal translation of the square root function of 5 units to the right, rather than the left. Beth was correct about the vertical translation of the square root function of 1 unit up. The point (0, 0) from the square root function would be translated to the point (5, 1) on the graph of g(x).

Step-by-step explanation:

This came right from Edg

The television show Lett3rs has been successful for many years. That show recently had a share of 24, meaning that among the TV sets in use, 24% were tuned to Lett3rs. Assume that an advertiser wants to verify that 24% share value by conducting its own survey, and a pilot survey begins with 11 households have TV sets in use at the time of a Lett3rs broadcast.
Find the probability that none of the households are tuned to Lett3rs. P(none) =
Find the probability that at least one household is tuned to Lett3rs. P(at least one) =
Find the probability that at most one household is tuned to Lett3rs. P(at most one) =
If at most one household is tuned to Lett3rs, does it appear that the 24% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Lett3rs unusual?)

Answers

Answer:

(a) P(none) = 0.0488

(b) P(at least one) = 0.9512

(c) P(at most one) = 0.2186

(d) No, it doesn't appear that the 24% share value is wrong.

Step-by-step explanation:

We are given that among the TV sets in use, 24% were tuned to Lett3rs.

A pilot survey begins with 11 households have TV sets in use at the time of a Lett3rs broadcast.

Let X = Number of households that are tuned to Lett3rs

The above situation can be represented through binomial distribution;

[tex]P(X = r)=\binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......[/tex]

where, n = number of samples (trials) taken = 11 households

           r = number of success

           p = probability of success which in our question is % of  

                 households that were tuned to Lett3rs, i.e; 24%

So, X ~ Binom{n = 11, p = 0.24}

(a) The probability that none of the households are tuned to Lett3rs is given by = P(X = 0)

     P(X = 0) =  [tex]\binom{11}{0}\times 0.24^{0} \times (1-0.24)^{11-0}[/tex]

                   =  [tex]1\times 1 \times 0.76^{11}[/tex]

                   =  0.0488

(b) The probability that at least one households are tuned to Lett3rs is given by = P(X [tex]\geq[/tex] 1)

     P(X [tex]\geq[/tex] 1) = 1 - P(X = 0)

                   =  1 - 0.0488

                   =  0.9512

(b) The probability that at most one households are tuned to Lett3rs is given by = P(X [tex]\leq[/tex] 1)

     P(X [tex]\leq[/tex] 1) =  P(X = 0) + P(X = 1)

                   =  [tex]\binom{11}{0}\times 0.24^{0} \times (1-0.24)^{11-0}+\binom{11}{1}\times 0.24^{1} \times (1-0.24)^{11-1}[/tex]

                   =  [tex]1\times 1\times 0.76^{11}+11\times 0.24^{1} \times 0.76^{10}[/tex]

                   =  0.2186

No, it doesn't appear that the 24% share value is wrong because the probability that at most one household is tuned to Lett3rs is somewhere close to 24% and this probability is also not unusual as it is way more than the criteria of more than 5%.

Usando a fatoração com fator comum em evidência, fatore o seguinte polinômio: x3 + x2 + x

Answers

Answer:

x(x^2 + x + 1)

Step-by-step explanation:

x^3 + x^2 + x = x(x^2 + x + 1)

The function d(s) = 0.0056s squared + 0.14s models the stopping distance
of a car, d(s), in metres, and the speed, s, in kilometres per hour. What
is the speed when the stopping distance is 7 m? Use a graph to solve.​

Answers

Answer:

The car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

Step-by-step explanation:

Let be [tex]d(s) = 0.0056\cdot s^{2} + 0.14\cdot s[/tex], where [tex]d[/tex] is the stopping distance measured in metres and [tex]s[/tex] is the speed measured in kilometres per hour. The second-order polynomial is drawn with the help of a graphing tool and whose outcome is presented below as attachment.

The procedure to find the speed related to the given stopping distance is described below:

1) Construct the graph of [tex]d(s)[/tex].

2) Add the function [tex]d = 7\,m[/tex].

3) The point of intersection between both curves contains the speed related to given stopping distance.

In consequence, the car must have a speed of 25 kilometres per hour to stop after moving 7 metres.

1. Calculate Q3 of the following data:
4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.7, 4.1, 4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4

Answers

Answer:

4.75

Step-by-step explanation:

Can someone help me with this problem?

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

Slope = 1

▹ Step-by-Step Explanation

y = mx + b

'm' represents the slope. since there is no number before the x, the coefficient will always be 1. therefore, the slope is 1.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

StartLayout enlarged left-brace 1st row 4 x minus 5 y = 5 2nd row negative 0.08 x + 0.10 y = 0.10 EndLayout

Answers

Answer:

[tex]x = 1.25[/tex]

[tex]y = 0[/tex]

Step-by-step explanation:

Given

[tex]4x - 5y = 5[/tex]

[tex]0.08x + 0.10y = 0.10[/tex]

Required

Determine the solution

Make x the subject of formula in: [tex]4x - 5y = 5[/tex]

[tex]4x = 5 + 5y[/tex]

Divide both sides by 4

[tex]\frac{4x}{4} = \frac{5 + 5y}{4}[/tex]

[tex]x = \frac{5 + 5y}{4}[/tex]

Substitute [tex]x = \frac{5 + 5y}{4}[/tex] in [tex]0.08x + 0.10y = 0.10[/tex]

[tex]0.08(\frac{5 + 5y}{4}) + 0.10y = 0.10[/tex]

Solve the fraction

[tex]0.02(5 + 5y) + 0.10y = 0.10[/tex]

Open the bracket

[tex]0.1 + 0.1y + 0.10y = 0.10[/tex]

[tex]0.1 + 0.2y = 0.10[/tex]

Subtract 0.1 from both sides

[tex]0.1-0.1 + 0.2y = 0.10 - 0.1[/tex]

[tex]0.2y = 0[/tex]

Divide both sides by 0.2

[tex]y =0[/tex]

Substitute 0 for y in [tex]x = \frac{5 + 5y}{4}[/tex]

[tex]x = \frac{5 + 5*0}{4}[/tex]

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

[tex]x = \frac{5 }{4}[/tex]

[tex]x = 1.25[/tex]

a football is fired upward with an initial speed of 800 feet per second. It is given that h=-12t^2+360t (h is the height of the football at any given time).what will you set h equal to in the equation to to find how many seconds it takes the football to hit the ground?

Answers

Answer:

30 s

Step-by-step explanation:

When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.

●h= 0

● -12t^2+360t =0

● t(-12t +360) = 0

● t = 0 or -12t +360 =0

● t=0 or -12t = -360

● t=0 or 12t =360

● t=0 or t=360/12

● t=0 or t= 30

The equation has two solutions.

The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.

So the ball hits the ground after 30 s.

hey loves!!! PLz help me

Answers

Answer:

Hey there!

We must use what we are given, so even though it looks like there might be four isosceles triangles, we are only given CA=CE, so that only allows us to conclude mathematically that there is only 1 isosceles triangle.

Hope this helps :)

NEED HELP ASAP I DONT GET THIS

Answers

Answer:

x = 60

Step-by-step explanation:

In a circle, the sum of the angles that meet at a point is 360 degrees. So now that we have the total, we can subtract all the given information in the picture. We have 84, 75, 68, and x + 73. Now let us set up and equation for this problem.

360 = 84 + 75 + 68 + x + 73

Now combine like terms.

360 = x + 300

Now subtract 300 on both sides.

x = 60

And this is the value of x.

Answer:

50 degrees

Step-by-step explanation:

84 + 75 + 68 = 227

227 - 360 = 133

133 - 73 = 50

The answer is 50 degrees.

Please answer this question now only answer if you know the answer

Answers

Answer:

v = 10.997

Step-by-step explanation:

For this, simply use the law of cosines.

v^2 = (16)^2 + (6)^2 - 2(16)(6)cos(27)

v^2 = 256 + 36 - 171.073

v^2 = 120.927

v = 10.997

Cheers.

Answer:

[tex]\boxed{11}[/tex] units

Step-by-step explanation:

To solve the length of UW, you can use the Law of Cosines for a SAS case:

[tex]\boxed{v^2=\sqrt{u^2+w^2-2(uw)cos(V)} }[/tex]

Substitute the values and solve with a calculator:

[tex]\boxed{\sqrt{16^2+6^2-2(16*6)cos(27)} = 10.99666983 \approxeq 11}[/tex]

The length of UW is 11 units.

What is the measure of each interior angle of a regular nonagon (nine-sided polygon) ? 2 points 60° 120° 140° 40°

Answers

Answer:

the answer is to your question is 140

Answer:

140°

Step-by-step explanation:

9 - 2 = 7

7 x 180= 1260° (sum of all interior angles)

1260 ÷ 9= 140° (measure of one interior angle)

4. The difference between twice a number and
half the number is 30. What is the number?
Help me please

Answers

Answer:

20

Step-by-step explanation:

let the number be n then twice the number is 2n and half the number is [tex]\frac{1}{2}[/tex] n

Then the difference is

2n - [tex]\frac{1}{2}[/tex] n = 30 ( multiply through by 2 to clear the fraction )

4n - n = 60, that is

3n = 60 ( divide both sides by 3 )

n = 20

what is the value of X when f(x)=g(x) ?

Answers

Answer:

x=3

Step-by-step explanation:

We want to find the value of x where the two graphs intersect

The graphs intersect at ( 3,8)

The value of x is 3

X will be 3 I know for a fact

c) Bhurashi can do 1/3 part of a work in 6 days.
(1) In how many days would she complete the whole work?
(ii) How much work does she do in 1 day?
m) How much work is left to do if she worked only for 9 days?​

Answers

Answer:

i. 18 daysii.[tex] \frac{1}{18} [/tex] part of workiii. [tex] \frac{1}{2} [/tex] part of work

Step-by-step explanation:

i.

[tex] \frac{1}{3} [/tex] part of work can be done in 6 days.

Days taken to complete the whole work:

= 6 * 3

= 18 days

ii. Whole work will be done in 18 days.

So, 1 day work = [tex] \frac{1}{18} [/tex]

iii. Work done in 9 days :

[tex] \frac{1}{18} \times 9 [/tex]

[tex] = \frac{1}{2} [/tex]

So, remaining work :

[tex]1 - \frac{1}{2} [/tex]

[tex] = \frac{1 \times 2 - 1}{2} [/tex]

[tex] = \frac{2 - 1}{2} [/tex]

[tex] = \frac{1}{2} [/tex] part of work

Hope this helps...

Good luck on your assignment..

HIIIIII 2 QUESTIONS IN THE 2 PICS HELP PLS

Answers

Answer:

(1)C- Trapezoid

(2)D-20 square feet

Step-by-step explanation:

Question 1

A cross-section of a rectangular pyramid cut perpendicular to the base but not passing through the top will have two parallel sides where one of the sides will be longer. Therefore, the shape which describes the cross-section will be a trapezoid.

Question 2

The base of the Triangle = 5 feet

Height of the Triangle = 8 feet

[tex]\text{Area of a triangle}=\dfrac12 \times $Base \times Height\\=\dfrac12 \times 5 \times 8\\=20 ft^2[/tex]

angle x and y are complementary angles . angle y measure 37 plzz help asap

Answers

Answer:

53 degrees

Step-by-step explanation:

Complementary angles add to 90 degrees

a+b = 90

a=37

37+b = 90

Subtract 37 from each side

37+b-37 = 90-37

b =53

Answer: 53 degrees

Step-by-step explanation: We can find the measure of <b by taking 90 minus the measure of <a which is 90 - 37 or 53 degrees.

Mark the absolute maximum point of the graph.

is the absolute maximum point (-3,5)?​

Answers

Yes, the absolute maximum is at (-3,5).

FI = 20 IH = 19. Calculate the length of GI

Answers

Answer:

7.55

Step-by-step explanation:

3/x = x/19

x² = 57

x = 7.54983....

Is (0, 3) a solution to the following system?
Y=-x+3
Y=2x-3
A No, because it does not check in either equation.
B. No, because it does not check in the first equation.
C. No, because it does not check in the second equation.
D. Yes, because it checks in both equations.

Answers

Solve each equation with (0, 3)

y = -x + 3

3 = -0 + 3

y = 3 (correct since y = 3 in (0, 3))

y = 2x - 3

3 = 2(0) - 3

3 = 0 - 3

3 = -3 (incorrect since it isn't equal)

So... No, because it does not check in the second equation.

Best of Luck!

Please help Asap, will give brainiest only if answer correctly with a good explanation

Answers

Answer:

D, or the last option.

Step-by-step explanation:

See how the rotation does not say whether it is Clockwise or Counterclockwise?

Now, what that means, is that it will, default, be CCW. I don't know why, but math teachers are like that.

Now, 80* and 10* add up to 90* (because they are both unmarked and going to the same direction).

So, 90* rotation CCW. Simple! Thus, the last option should be correct.

Hope this helps!

P.S. Stay Safe!

At a fun park, the cost of a rollercoaster ride and a ferris wheel ride is $10. The cost of a Gravitron ride and a Ferris wheel ride is $12. The cost of a rollercoaster ride and a Gravitron ride is $14. What is the cost of each ride?

Answers

Answer:

r = cost of rollercoaster = 6

f = cost of ferris wheel=4

g = cost of graviton=8

Step-by-step explanation:

r = cost of rollercoaster

f = cost of ferris wheel

g = cost of graviton

r+f = 10

g+f = 12

r+g = 14

Take the third equation and subtract the first equation

r+g =14

-r-f = -10

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

g-f = 4

Take this and add it to the second equation

g-f = 4

g+f = 12

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

2g = 16

Divide by 2

g = 8

Now find f

g+f = 12

8+f = 12

f = 12-8

f=4

Now find r

r+g =14

r+8 =14

r = 14-8

r = 6

Other Questions
Jen is investing in a partnership with Lisa. Jen contributes equipment that originally cost $65,000, has accumulated depreciation of $20,000, thus giving it a book value of $45,000, and has a fair value of $52,000. The entry to record Jens initial contribution to the partnership includes a What is the solution to the system of equations?(x + 4y z = 53x 2y + 2z = 72x z= -2 What French trade name comes from the Latin word "dens"? We want to send all of our high-value customers a special VIP gift. We are defining high-value customers as those who have made at least 1 order with a total value (not including the discount) equal to $10,000 or more. We only want to consider orders made in the year 2016. Who would we send the gift to? (Show customer ID, name, the order, and the total order amount.) uncertainty avoidance (e.g., Greece, Portugal, and Uruguay) is associated with a need for structure, avoiding differences, and very formal business conduct governed by many rules, whereas a _______ uncertainty avoidance (e.g., Singapore, Jamaica, and Hong Kong) is characterized by an informal business culture, acceptance of risk, and more concern with long term strategy and performance than with daily events. A. Lower, higher B. Higher, lower C. Positive, negative D. Negative, positive The cost method that will yield an ending inventory that is closer to current prices is the a.FIFO inventory cost method. b.LIFO inventory cost method. c.specific identification inventory cost method. d.weighted average inventory cost method. Calcium hydroxide:_______.a. cannot be placed under direct composite resins because it will inhibit polymerization. b. stimulates the production of reparative dentin. c. functions as a thick base to support extensive restorations. d. consists of a resin in an organic solvent. what is a primary source? Q/For the circuit showm bellow:a) find the mathematical expression for the transient behavior of ve and ic after closing the switeh,b) sketch vc and ic. The Accords, signed in 1995, forced an uneasy peace in Bosnia. One number is 26 more than another. Their product is -169. A man is at a car dealership, looking for a car to buy. He looks at the sticker on the drivers window of a car and sees that the price of the car is $32,540. Why is the long shadow of scarcity visible at the car dealership? Check all that apply. A large population of ALOHA users manages to generate 50 requests/sec, including both originals and retransmissions. Time is slotted in units of 40 msec.Required:a. What is the chance of success on the first attempt? b. What is the probability of exactly k collisions and then a success? c. What is the expected number of transmission attempts needed? In an experiment, researchers exposed half of the participants to loud noise during a memory-encoding task. The room was quiet for the other half of the participants. Later, all participants were given a memory test and the number of correct items recalled was obtained for each participant. What is the independent variable? Thomas lives 350 miles from the beach. He drives to the beach at an average rate of 50 miles per hour. Use that information and the diagram to complete the table below. PLS HURRY FIRST ONE TO DO IT GETS BRAINLEIST Maria and her classmates are standing with other people in a line of 35 people waiting to buy tickets. Maria is last in this line of classmates and 20th from the front of the whole line. Maria's classmate leading the line of classmates is 23rd from the end of the whole line. How many classmates does Maria have? Consider the three dip1acement vectors A = (3i - 3j) m, B = (i-4j) m, and C = (-2i + 5j) m. Use the component method to determine: (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=-A - B + C. I need the answer ASAP 2. Susan wants to use blue, yellow, green, and pink paint to decorate her house. She needs 3 times as much blue paint as yellow paint and much yellow paint as green paint. She needs 3 gallons of pink paint, which is of a gallon more than the green paint she needs. How much paint does Susan need in all? 47:48 The linear combination method is applied to a system of equations as shown. 4(.25x + .5y = 3.75) x + 2y = 15 (4x 8y = 12) x 2y = 3 2x = 18 what is the solution of system of equations