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
Nadusha1986 [10]
2 years ago
7

Determine whether each set of numbers can be the measures of the sides of a triangle. If so, classify the triangle as acute, obt

use, or right 7,15,21
Mathematics
1 answer:
IgorLugansk [536]2 years ago
3 0

9514 1404 393

Answer:

  obtuse triangle

Step-by-step explanation:

The two shortest sides are 7, 15. Their sum is 7+15 = 22, which is longer than the longest side, so these lengths will form a triangle.

__

The "form factor" can be computed to be ...

  a^2 +b^2 -c^2 . . . . . where c = longest side

This value is ...

  7^2 +15^2 -21^2 = 49 +221 -441 = -167

This negative value indicates the largest angle is more than 90°, so the triangle is obtuse.

_____

<em>Additional comment</em>

This "form factor" has the same sign as the cosine of the largest angle. The cosine is negative for angles greater than 90°. The cosine of the angle is ...

  "form factor"/(2ab) = -167/210

  largest angle = arccos(-167/210) ≈ 142.678°

You might be interested in
The following a function (6,3), (-1,2), (-1,-1), (4,3)
Akimi4 [234]

for an expression or relation to be a function, it must not have any x-coordinate values repeated, let's check this one

\bf (6,3), (\stackrel{\stackrel{rep eated}{\downarrow }}{-1},2), (\stackrel{\stackrel{rep eated}{\downarrow }}{-1},-1), (4,3)\qquad \textit{not a function}

5 0
3 years ago
a section of a stained glass window is shaped like a parallelogram. Its base is 6.5 inches, and its height is 4 inches. how much
Bond [772]
Area is base multiplied by height, so to get the answer you'd need to multiply 6.5 and 4
8 0
3 years ago
Is x^2y^5 simplified?
Marizza181 [45]
Yes it is indeed nothing else can be done to this problem 
6 0
3 years ago
Given g ( x ) = 2 x + 3 , solve for x when g(x)=3.
padilas [110]

Answer:

x = 0

Step by step explanation:

g ( x ) = 2x + 3

If x = 0,

g ( 0 ) = 2 (0) + 3

or, g ( 0 ) = 3

<em>Hope that helped :)</em>

8 0
3 years ago
Solve for y: 2x+3y=21
stealth61 [152]

Answer:

y = 7 - 2x/3

Step-by-step explanation:

Make the y alone, so 3y = -2x+21

Divide everything else by 3, so y = -2x/3 +7

You end with the answer of y= 7-2x+3

6 0
3 years ago
Other questions:
  • Need answer to this problem
    9·1 answer
  • Is 4320 perfect, abundant, or deficient? also perfect numbers? Explain why all positive multiples of 6 greater than 6 are aburnd
    12·1 answer
  • How to write an inequality stating the restrictions of x
    9·1 answer
  • 3 x 16 divided by 2-1
    7·1 answer
  • Evaluate the expression when g=72 and h-4 g/8=h
    10·2 answers
  • Hi, I am iluvbooks. Y'all Americans? <br><br>anyway, this is free pōints hehe.​
    15·2 answers
  • 4÷86 step by step answer​
    10·1 answer
  • The candy store has a stock of candy. They have 15 bags of tootsie rolls, 10 boxes of nerds, 12 bags of gummy
    9·2 answers
  • Trying to find the initial value. help needed!!
    10·1 answer
  • Write the standard form of the line that passes through the given points. Include your work for each step in your final answer.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!