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
olasank [31]
3 years ago
11

A tree and a building stand side by side. The 5-foot tall tree cast a shadow of 12 feet. If the building is 80 feet tall, how lo

ng is it's shadow​
Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0

Answer:

The shadow of the building = 192 ft.

Step-by-step explanation:

∵ There is a proportional relation between the heights of the tree and the building and their shadows

∴ Height tree/height building = shadow tree/shadow building

\frac{5}{80}=\frac{12}{x}

x = \frac{(80)(12)}{5}= 192 ft ⇒ x is the length of the shadow of the building

You might be interested in
Can someone please answer my trigonometry problem? I've been trying to get answers all day for something so minimal.
Fantom [35]

Answer:

  ∠B ≈ 30.0°

Step-by-step explanation:

The law of sines can be used to solve a triangle when two sides and an angle opposite one of them are given.

__

  sin(B)/b = sin(C)/c

  sin(B) = (b/c)sin(C) . . . . solve for sin(B)

  sin(B) = (14/28)sin(91°) ≈ 0.49992385

The angle is found using the inverse sine function:

  B = arcsin(0.49992384) ≈ 29.99496°

Rounded to tenths, the angle is ...

  m∠B ≈ 30.0°

_____

<em>Additional comments</em>

Many triangle solver apps and web sites are available if all you want is an answer.

When using your calculator, be sure the angle mode is set to "degrees."

The Law of Sines can also be used to solve a triangle when two angles and one side are known.

8 0
2 years ago
What are the characteristics of a gas?
horsena [70]
D. no definite shape or definite volume
7 0
3 years ago
Read 2 more answers
The sum of three consecutive multiples of 4 is 444. Find these multiples.
melamori03 [73]
First multiple of 4 is x = 144

Second multiple of 4 is x + 4 = 144 + 4 = 148

Third multiple of 4 is x + 8 = 144 + 8 = 152
3 0
3 years ago
Read 2 more answers
HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?
Setler [38]

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = \frac{1}{2}(\pi r^2h)

                                                     = (\frac{1}{2})(\pi )(17-11)^2(6)

                                                     = 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

                                                      = 11 × 6 × 12

                                                      = 792 cubic inches

Volume of the solid figure = 339.29 + 792

                                            = 1131.29

                                            ≈ 1131 cubic inches

8 0
3 years ago
Please help! Only respond if known 100% (Don't mind my handwriting)​
lapo4ka [179]

Answer:

Yes the y-intercept is -1 so True

Yes the rate of change or slope is 2 so True

And Yes the equation is not y=2x+1 it is suppose to be y=2x-1 so False

Step-by-step explanation:

Hope this Helps!

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is least to greatest 0.65,2/3,-0.6 or -4/5 ?​
    10·1 answer
  • Select the suffix you would find in a word indicating a subject of study.
    12·2 answers
  • What is the vertex of the following parabola y=(x-4)(x+18)
    7·1 answer
  • 22.122+14.83 plz help this is super hard for me
    13·2 answers
  • Suppose scores on exams in statistics are normally distributed with an unknown population mean and a population standard deviati
    13·1 answer
  • 21
    5·1 answer
  • 3. What is the value of the digit<br>3 in the number 139,524?*<br>3000<br>Ο 30,000<br>Ο Ο Ο Ο<br>3​
    9·2 answers
  • There are 24 students in a class. Only -- of the students remembered to bring their hat and mittens to class.
    15·2 answers
  • 45/43 as a percentage rounded to the nearest tenth?
    11·2 answers
  • 50 pts please help asap!! Which expression In factored form is equivalent to this expression?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!