MATHEMATICS HIGH SCHOOL

A tree of 14mheight is broken by the wind so that it's top touches the ground. Find the length of broken part of the tree.

Answers

Answer 1

Answer:

Answer:

7 m

Step-by-step explanation:

As the question is given, the tree is broken from the middle and the length of the broken part is:

14 m /2 = 7 m

So it is 7 m

Answer 2

Answer:

Final answer:

To find the length of the broken part of the tree, use the concept of similar triangles and set up an equation. Solve the equation to find the length of the broken part.

Explanation:

To find the length of the broken part of the tree, we can use the concept of similar triangles. The height of the tree is 14m, and when it's broken, the top touches the ground, forming a right triangle with the remaining part of the tree. Let's call the length of the broken part x. Using the properties of similar triangles, we can set up the following equation:

14m / x = (14m - x) / x

Simplifying the equation, we get:

14m^2 - x^2 = 14m * x

Now, let's solve for x:

14m * x = 14m^2 - x^2

x^2 + 14m * x - 14m^2 = 0

This is a quadratic equation that can be factored:

(x - 14m)(x + m) = 0

So, x = 14m or x = -m. Since we are dealing with length, we can ignore the negative solution. Therefore, the length of the broken part of the tree is 14m.

Learn more about Similar triangles here:

brainly.com/question/34830045

#SPJ12

Related Questions

If the perimeter of an equilateral triangle is 24 inches, find a side of the triangle
In ΔABC, which trigonometric ratio equals 32?A. sin B B. tan B C. tan C D. sin C
What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?
What's the formula to perimeter
The circle graph shows how a family spends its annual income. If $33,750 is used for Clothing and Savings combined, what is the total annual income? Savings 9% Insurance 10% Entertainment 11% Auto 14% Clothing 16% Food 18% Housing 22%

How many times greater is the elevation of Tammy’s house than the elevation of the ocean’s surface at 2 p.m.? WHO EVEN HELP GET PRIZE FROM ME:) BE RIGHT THO MESSAGE ME IF U GOT IT RIGHT

Answers

Answer:

the answer is 9.9

Step-by-step explanation:

UWU trust me ^^ thx

Any number that is divisible by 2 is also divisible by 8.Find a counterexample to show that the conjecture is false.
24
32
28
16

Answers

28

28/8=3.5

...................

You don't have to go any further than 2 itself.

All of the even numbers that are not multiples of 8 are counterexamples.

28 is a good one.

How do I find BCD? Please help

Answers

Hi,
BCD and ECF are opposite angles and so are equal. If they are equal, then their equations are equal, and if their equations are equal, you can set the equations against each other to find x. See below, and hope this helps!

(10x - 20)° = (8x + 4)°

This is basic algebra. (I'm taking off the degree sign for now to make it simpler, but be sure to add it to your answer at the end.) Group like terms.

10x - 20 = 8x + 4
2x = -16
x = -8

Once you've found "x", plug "x" into the equation for BCD and solve. I'll get you started:

(10 × -8) - 20

all you need to do is add the angles up and you have your answer

What is the y-coordinate of the solution? Round to the nearest hundredth.
( 4x-y= 2
2x+9y= -12)

Answers

$Hi \n \n \begin{cases}4x-y=2~~----\ \textgreater \ (I) \n 2x+9y=- 12~--\ \textgreater \ (II)\end{cases} \n \n \underline{Resolution ~} \n \n~~~~~~4x-y=2 \n =\ \textgreater \ \boxed{y=4x-2}~~--\ \textgreater \ \textcircled{1} \n \n \mathbb{tttttttttttttttttttttttttttttttttttt} \n\textcircled{1}~in (II) \n \n2x+9\underbrace{y}_(4x-2)=-12 \n \n 2x+9(4x-2)=-12 \n \n 2x+36x-18=-12 \n \n \boxed{\boxed{x=0,16}} \n \n \mathbb{tttttttttttttttttttttttttttttttttttt} \n =\ \textgreater \ y=4x-2 \n ~~~~~~y=4(0,16)-2 \n ~~~~~~\boxed{\boxed{y=-1,36}}\n \n \n .$

$\therefore~(x;y)=(0,16; -1,36)$

y=-1.4
all you had to do was the elimination method

Victoria and margaret left their apartment at the same time traveling in the same direction. victoria drove at 55 mph and margaret drive at 70mph. how many miles was it before margaret was 30 miles ahead of victoria?