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
mylen [45]
3 years ago
7

Solve the triangle. Round decimal answer to the nearest tenth...

Mathematics
2 answers:
Mumz [18]3 years ago
6 0

Answer:

DE ≈ 16.1, ∠E ≈ 60.3°, ∠D ≈ 29.7°

Step-by-step explanation:

use pythagorean theorem:

DE² = 8² + 14² => DE = √8² + 14² ≈ 16.1

use inverse tangent function:

∠E =  tan^{-1}(14/8) ≈ 60.3°

∠D =  tan^{-1}(8/14) ≈ 29.7°

azamat3 years ago
6 0

Answers:

  • side DE = 16.1 units
  • angle E = 60.3 degrees
  • angle D = 29.7 degrees

The "units" and "degrees" portions of the answers are likely to be left out.

===============================================

Explanation:

Since we have a right triangle, we can use the pythagorean theorem to find the hypotenuse DE

a^2+b^2 = c^2

c = sqrt(a^2+b^2)

c = sqrt(8^2+14^2)

c = 16.124515496597

c = 16.1 is the approximate length of side DE

----------------------------------

We'll use the tangent ratio to find angle E

tan(angle) = opposite/adjacent

tan(E) = FD/FE

tan(E) = 14/8

E = arctan(14/8)

E = 60.2551187030578

E = 60.3 degrees

The notation arctan is the same as inverse tangent. You should have a \tan^{-1} button on your calculator to help compute the inverse tangent.

-------------------------------------

We could use the tangent ratio to solve for angle D, by noting that

tan(D) = 8/14

or we could use the idea that D+E = 90 which solves to D = 90-E

D = 90-E

D = 90-60.3

D = 29.7 degrees

Note how arctan(8/14) = 29.74488 which rounds to 29.7

You might be interested in
Solve<br> Y = -1/2 (-2) + 2
Basile [38]

Answer: y = 3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Each side of the square below is 8 inches.
evablogger [386]

Answer:

16%

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help solve for b.
Zanzabum
Subtract a from both sides of the equation.

b=−a+14

6 0
3 years ago
Read 2 more answers
Which word is used to name each of the bold numbers and variables?
eduard
The answer is b. Product
5 0
3 years ago
Read 2 more answers
A 9V battery is attached to a hand generator. What prediction best explains what will happen and why?
insens350 [35]

A hand generator it most likely will provide power to perform wok more efficiently.

<h3>A hand generator and a 9v battery</h3>

Generally, A hand generator is a portable device that use energy to do work or increase efficiency of work done.

Therefore,if a 9v battery( a battery is defined as a source of electric power) is attached to a hand generator it most likely will provide power to perform wok more efficiently

For more information on  work

brainly.com/question/756198

3 0
2 years ago
Other questions:
  • A square has a side length of (x + 8) feet long. Which expression(s) represent(s) the perimeter of the square, in square feet? S
    15·1 answer
  • The expression (a² + b²)² is equivalent to
    12·2 answers
  • A rectangular prism is 6 feet long, 5 feet wide, and 7 feet tall. What is the surface area in square inches?
    7·1 answer
  • Plz help ASAP I need help
    8·1 answer
  • If a pizza pie had<br> a diameter of 12<br> inches, what<br> would be its<br> circumference?
    11·2 answers
  • Simplest form of ratio 24:36:60​
    11·1 answer
  • Can u guys give me kobe faimley fun facts PLZZ
    9·1 answer
  • What is the shortcut to it ?
    9·1 answer
  • Imessage games?<br><br> The looser gets to do what ever the winner wanna see
    10·1 answer
  • Is 8/24 = 21/63 a proportion
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!