MATHEMATICS HIGH SCHOOL

If EG=10x+20, FG=43. EG=183, find the value of x.

Answers

Answer 1

Answer:

Answer:

Option (3)

Step-by-step explanation:

Given: EF = 10x + 20

FG = 43

EG = 183

From the figure attached,

Length of segment EF + length of segment FG = length of segment EG

By substituting the values of each segment in the equation,

(10x + 20) + 43 = 183

10x + 20 = 183 - 43

10x = 140 - 20

x = $(120)/(10)$

x = 12

Therefore, x = 12 will be the answer.

Option (3) will be the correct option.

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A rectangular fish tank contains 3,240 cubic inches of water. The dimensions of the base of the fish tank are 12 inches x 18 inches. How tall is the fish tank?

Answers

Answer:

fish tank is 14.87 ≈ 15 inches tall.

Step-by-step explanation:

Given : A rectangular fish tank contains 3,240 cubic inches of water. The dimensions of the base of the fish tank are 12 inches x 18 inches.

To find : How tall is the fish tank.

Solution : We have given that volume of fish tank = 3240 cubic inches.

Length of tank = 12 inches.

Width of tank = 18 inches .

Volume of rectangular tank = length * width * height

3240 = 12 * 18* height .

3240 = 216 * height.

On dividing both side by 216 and switching the sides .

Height = $(3240)/(216)$ .

Height = 14.87 inches

Therefore, fish tank is 14.87 ≈ 15 inches tall.

Volume = length x Base x height

3240 = 18 x 12 x H

3240 = 216 x H

H = 3240 / 216 = 15 inches

The angle of elevation from a car to the top of an apartment building is 48 degrees. If the angle from another car that is 22 feet directly in front of the first car is 64 degrees. How tall is the building? I know it involves trig, but after an hour of thought i give up on guessing.

Answers

The required height of the building is 53.31 feet.

What is a right angle triangle?

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.

Given that,

Angle of elevation from the first car A to the top of the apartment building = 48 degrees,

Angle of elevation from the second car B to the top of the apartment building = 64 degrees.

Also, car B is 22 feet above the car A.

Let the height of the building is h feet.

And distance from the car B to the building is x feet.

Use formula of tan θ,

tan 64 = h / x

2.050 = h/x

x = h / 2.050 (1)

And tan 48 = h / x + 22
1.1106 = h / x+ 22 (2)

By solving equation (1) and (2)

1.1106 = h / (h/2.050 + 22)

1.1106 = 2.050h / h + 45.1

1.1106h + 50.08 = 2.050h

0.9394 h = 50.08

h = 53.31

The height of the building is 53.31 feet.

To know more about Triangle on :

brainly.com/question/2773823

#SPJ2

To the StudentContents: Members of the PEAMathematics Department have written the materialin this book. As youwork through it, you will discover that algebra, geometry, andtrigonometry havebeen integrated into a mathematical whole. There is no Chapter 5, noris there a section ontangents to circles. The curriculum is problem-centered, rather thantopic-centered.Techniques and theorems will become apparent as you work through theproblems, and youwill need to keep appropriate notes for your records — there are noboxes containingimportant theorems. There is no index as such, but the reference sectionthat starts on page201 should help you recall the meanings of key words that are definedin the problems(where they usually appear italicized).Comments onproblem-solving: You should approacheach problem as an exploration.Reading each questioncarefully is essential, especially since definitions, highlighted initalics, areroutinely inserted into the problem texts. It is important to make accuratediagrams wheneverappropriate. Useful strategies to keep in mind are: create an easierproblem, guess andcheck, work backwards, and recall a similar problem. It is importantthat you work on eachproblem when assigned, since the questions you may have about aproblem will likelymotivate class discussion the next day.Problem-solvingrequires persistence as much as it requires ingenuity. When you get stuck,or solve a problemincorrectly, back up and start over. Keep in mind that you’re probablynot the only one whois stuck, and that may even include your teacher. If you have takenthe time to thinkabout a problem, you should bring to class a written record of yourefforts, not just ablank space in your notebook. The methods that you use to solve aproblem, thecorrections that you make in your approach, the means by which you testthe validity of yoursolutions, and your ability to communicate ideas are just as importantas getting thecorrect answer.About technology: Many of theproblems in this book require the use of technology(graphing calculatorsor computer software) in order to solve them. Moreover, you areencouraged to usetechnology to explore, and to formulate and test conjectures. Keepthe followingguidelines in mind: write before you calculate, so that you will have a clearrecord of what youhave done; store intermediate answers in your calculator for later use inyour solution; payattention to the degree of accuracy requested; refer to your calculator’smanual when needed;and be prepared to explain your method to your classmates. Also,if you are asked to“graphy= (2x−3)=(x+ 1)”, for instance,the expectation is that,although you mightuse your calculator to generate a picture of the curve, you shouldsketch that picture in your notebook oron the board, with correctly scaled axes.

Please solve this 3 variable system of equations2g + 3h - 8j= 10
g - 4h =1
-2g - 3h+ 8j= 5

Answers

Not solvable. If you take the first and last equations together, then multiply the last by -1 you get
2g+3h-8j=10
2g+3h-8j=-5
Resulting in
10=-5, which is false, so there is no solution

Write the number 28.75 to the nearest whole number

Answers

It would be 29.

Hope This Helps You!
Good Luck Studying :)

What value of x is in the solution set of 3(x-4)>/= 5x+2

Answers

3(x - 4) > = 5x + 2....distribute the 3 thru the parenthesis
3x - 12 > = 5x + 2
3x - 5x > = 2 + 12
-2x > = 14...change the inequality sign because dividing by a negative
x < = -7

Please answer this I will give as many points as you want but I’m failing this class so I need this text to bring it up

Answers

Answer:

$\textsf{The correct answer is the third one (below the one that you selected).}$

Explanation:

$\sf\n\textsf{In first option, when x = 2, y = 1 and -1. There are two y-values for one x-value}\n\textsf{so this is not a function.}$

$\textsf{In second option, there are infinite y-values for x = 3. So this is also not a}\n\textsf{function.}$

$\sf\n\textsf{In the third option, there are unique y-values for every values of x. Hence this is}\n\textsf{a function. Actually, the function shown here is a cubic function }y=x^3.$

$\textsf{In the last option, x = 1, y = 2, -2. Here also exists two y-values for a single x}\n\textsf{value. So this is also not a function.}$

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