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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°

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$38.3

Step-by-step explanation:

Baseball = $7.2

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45.5-7.2 = 38.3

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3 years ago
meg works two jobs she gets paid $12 per hour painting houses and $9 per hour working at a clothing store she got paid $270 last
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Answer:

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3 years ago
Find the value of (3 + 4)^2.
Vlad1618 [11]

Answer:

49

Step-by-step explanation:

Evaluate the parenthesis and square the result, that is

(3 + 4)² = 7² = 7 × 7 = 49

3 0
3 years ago
3b/7 - 1 =5. What is "b"?
loris [4]

Step by step solution :

Step 1 :


b

Simplify —

7


Equation at the end of step 1 :


b

((3 • —) - 1) - 5 = 0

7


Step 2 :

Rewriting the whole as an Equivalent Fraction :


2.1 Subtracting a whole from a fraction


Rewrite the whole as a fraction using 7 as the denominator :


1 1 • 7

1 = — = —————

1 7


Equivalent fraction : The fraction thus generated looks different but has the same value as the whole


Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :


2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator


Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:


3b - (7) 3b - 7

———————— = ——————

7 7


Equation at the end of step 2 :


(3b - 7)

———————— - 5 = 0

7


Step 3 :

Rewriting the whole as an Equivalent Fraction :


3.1 Subtracting a whole from a fraction


Rewrite the whole as a fraction using 7 as the denominator :


5 5 • 7

5 = — = —————

1 7


Adding fractions that have a common denominator :


3.2 Adding up the two equivalent fractions


(3b-7) - (5 • 7) 3b - 42

———————————————— = ———————

7 7


Step 4 :

Pulling out like terms :


4.1 Pull out like factors :


3b - 42 = 3 • (b - 14)

Equation at the end of step 4 :


3 • (b - 14)

———————————— = 0

7


Step 5 :

When a fraction equals zero :


5.1 When a fraction equals zero ...


Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.


Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.


Here's how:


3•(b-14)

———————— • 7 = 0 • 7

7


Now, on the left hand side, the 7 cancels out the denominator, while, on the right hand side, zero times anything is still zero.


The equation now takes the shape :

3 • (b-14) = 0

Equations which are never true :


5.2 Solve : 3 = 0


This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :


5.3 Solve : b-14 = 0


Add 14 to both sides of the equation :

b = 14

One solution was found :

b = 14

5 0
3 years ago
Read 2 more answers
Whoopy what a day! 6+6
mash [69]

Answer:

Yes, indeed. 12 :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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