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tigry1 [53]
4 years ago
14

The length of the hypotenuse of a 30°-60°-90° triangle is 7. Find the perimeter

Mathematics
2 answers:
ki77a [65]4 years ago
6 0
Rules for a 30-60-90 right triangle:
hyp = 2 * short leg
Long leg = sqrt(3) * short leg
Given:
hyp = 7
7 = 2*short leg
divide both sides by 2
7/2 = short leg
long leg = sqrt(3) * short leg
long leg = sqrt(3) * (7/2)
long leg = 6.06
P= s1 + s2 + s3
P = 7 + 3.5 + 6.06
P = 16.56 units      (Decimal approximation)
P = 10.5 + 3.5sqrt(3) units       (Exact value)
Novosadov [1.4K]4 years ago
3 0
The shortest leg  = 1/2 * 7 = 3.5
longest leg = 7 * sqrt 3 = 12.12

Perimeter = 7 + 3.5 + 12.12  =  22.62 to nearest hundredth
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20 points!!
ANEK [815]

See below for the proof of the equation \frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)

<h3>How to prove the equation?</h3>

The equation is given as:

\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)

Take the LCM

\frac{(ax + by)(x - y) -(ax - by)(x + y)}{(x + y)(x - y)}= 2(a - b)

Expand

\frac{ax^2 - axy + bxy - by^2 -ax^2 - axy + bxy + by^2}{(x + y)(x - y)}= 2(a - b)

Evaluate the like terms

\frac{-2axy + 2bxy }{(x + y)(x - y)}= 2(a - b)

Rewrite as:

\frac{-2axy + 2bxy }{x^2 - y^2}= 2(a - b)

Factorize the numerator

\frac{2(a - b)(x^2 - y^2)}{x^2 - y^2}= 2(a - b)

Divide

2(a - b)= 2(a - b)

Both sides are equal

Hence, the equation \frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b) has been proved

Read more about equations at:

brainly.com/question/2972832

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5 0
2 years ago
Solve the compound inequality 10 + x &lt; 20 and 4x &gt; -24
kotykmax [81]

Answer:

c

Step-by-step explanation:

1.) move all terms that are not x to the right side.of the inequalities.

10+x≤20 <u>4x</u>≥<u>-24</u>

-10 -10 4 4

x≤10 x≥-6

2.) combine the two equations to make -6≤x≤10

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3 years ago
Now suppose that you have 2 individual and identical oranges. give a generating function for selecting from the oranges.
sweet-ann [11.9K]
12 is the correct answer
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How is the Pythagorean theorem related to the distance<br> formula?
Eddi Din [679]

Answer:

The distance formula is a formalization of the Pythagorean Theorem using (x,y) . They are the same thing (but the distance formula is for working out the distance between two points and Pythagoras theorem is for working out the missing length in a right-angled triangle) in two different contexts.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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