1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mixas84 [53]
3 years ago
8

At a point on the ground 70 ft from the base of the tree, the distance to the top of the tree is 2 ft more than 3 times in the h

ighest of the tree find the highest of the tree
Mathematics
1 answer:
gogolik [260]3 years ago
3 0

9514 1404 393

Answer:

  24 ft

Step-by-step explanation:

Let x represent the height of the tree. The geometry can be represented by a right triangle with a base of 70 ft, a height of x ft, and a hypotenuse of 2+3x ft. The Pythagorean theorem tells us the relationship ...

  x^2 +70^2 = (2+3x)^2

  8x^2 +12x -4896 = 0 . . . .put in standard form

  2x^2 +3x -1224 = 0 . . . . remove a common factor of 4

  (2x +51)(x -24) = 0 . . . . . factor

The only positive solution is x = 24.

The height of the tree is 24 feet.

You might be interested in
Help me please ..........................................................
ale4655 [162]
It would be the last one to add up to 180 witch is a triangle or supplementary
<span />
7 0
3 years ago
What is another way to show that 4/6 = 8/12?
Varvara68 [4.7K]

what I think is the answer is 2/3

6 0
4 years ago
470.47 in expanded form​
Aleksandr-060686 [28]

Four hundred seventy and forty seven hundredth

7 0
4 years ago
25 POINTS
Semenov [28]

If the slope of AB = CD and BC = AD it's a parallelogram:

Slope of AB = 6+1 / -9+5 = -7/4

CD = -2-5 / 3+1 = -74

These are equal.

BC = 5-6 / -1 +9 = -1/8

AD = -2 +1 / 3+5 = -1/8

These are also equal so it is a parallelogram.

Now to find if the diagonals are perpendicular find the slope of the perpensicular points:

AC = 5 +1 / -1 +5 = 6/4 = 3/2

BD = 6+2 / -9 -3 = 8/-12 = -2/3

Because BD is the reciprocal of AC, this means they are perpendicular.

And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.

5 0
3 years ago
6x8-6x5 in distributive property.
ddd [48]

Answer:

6(8 -5)

Step-by-step explanation:

take out the 6 -

8 - 5

then put them in parentheses

(8 - 5)

add back the 6

6(8 - 5)

8 0
3 years ago
Read 2 more answers
Other questions:
  • 20,000 is 1/10 of what?
    7·1 answer
  • Explain the general steps to adding any two polynomials.
    8·1 answer
  • If the measure of angle A is 40* and the length of side b is 15 inches, which can be the length of side a if it is possible to f
    12·1 answer
  • Please help me i have inly minutes left​
    12·1 answer
  • Given equations A and B as 2/5x+y=12 and 5/2y-x=6 , respectively, which expression will eliminate the variable x?
    10·2 answers
  • Find a measurement in centimeters then write the measurement as parts of a meter
    12·1 answer
  • What does 2x-y^3 equal?
    10·1 answer
  • The hypotenuse of a right triangle is 95 inches long. One leg is 4 inch(es) longer than the other. Find the lengths of the legs
    12·2 answers
  • Find the total surface area of a rectangular prism with ?
    10·1 answer
  • 10 feet long and 5 feet wide. What is its area?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!