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
o-na [289]
3 years ago
13

In sunlight, a vertical stick has a height of 4 ft and casts a shadow 2 ft long at the same time that a nearby tree casts a shad

ow 18 ft long. How tall is the tree?
9 ft

4 ft

0.4 ft

36 ft
Mathematics
1 answer:
marshall27 [118]3 years ago
6 0
Remark
Make up a proportion that relates the tree and its properties to the stick and its properties.

Givens
Stick height (s_h) = 4
Stick shadow(s_s) = 2
Tree shadow = t_s = 18
Tree height = x

Formula
s_h / s_s = x / t_s

Substitute and solve.
4/2 = x / 18  Cross multiply
4*18 = 2 * x
72 = 2x        Divide by 2
72/2 = x       
x = 36

The height of the tree is 36 feet.     
You might be interested in
Multiply by using the Distributive property. (X^2+4)(x-4) =
barxatty [35]

Answer:

x^3 - 4x^2 + 4x - 16

Step-by-step explanation:

3 0
3 years ago
Prove that when x> 1, a triangle with side lengths a = x2 - 1, b = 2x, and C = x2 + 1 is a right triangle. Use the Pythagorea
Mekhanik [1.2K]

Answer:

see explanation

Step-by-step explanation:

If the triangle is right then the square of the longest side (hypotenuse) will equal the sum of the squares of the other 2 sides.

longest side is x² + 1, then

(x² + 1)² = x^{4} + 2x² + 1

The sum of the square of the other 2 sides

(x² - 1)² + (2x)²

= x^{4} - 2x² + 1 + 4x² = x^{4} + 2x² + 1

Hence triangle is right

7 0
4 years ago
Read 2 more answers
Determine the slope of the line 5x − 3y − 12 = 0.
dolphi86 [110]
I've attached working :)

4 0
3 years ago
Read 2 more answers
Explain why the figure is a parallelogram…. Please I need help ASAP.
allsm [11]

Answer:

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Step-by-step explanation:

3 0
3 years ago
You are the new warehouse manager and you have a facility that has 25 storage racks that are 25 feet long, 12 feet high and 3 fe
wolverine [178]

Answer is shown in the attached image, in RED.

6 0
3 years ago
Other questions:
  • How do I evaluate an expression?
    6·1 answer
  • How do I write an equation in standard form using integers?
    15·1 answer
  • A customer pays $18 for a DVD that originally costs $20. What is the percent decrease in the cost of the DVD?
    5·1 answer
  • The area of a circle is 96 square inches. What is the area of a circle whose diameter is 1.5 times the diameter of the circle?
    9·1 answer
  • City Park: You are desinigng a marble planter for a city park. You want the length of the planter to be sic times the height, an
    14·1 answer
  • What is the base word for tangible
    11·2 answers
  • A chef cooked 5 kg of mashed potatoes for a dinner party. If the guest ate only 1/12 of the amount he cooked. How much did the e
    6·1 answer
  • Circle D is shown. Angles F A E, F D E, and F B E intercept arc F E. ∠FAE measures 72°. What other angle must measure 72°? ∠BFD
    7·2 answers
  • Find the slope of a line perpendicular to the line below. y=2x+4
    15·1 answer
  • What is 100 to the 3rd power
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!