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Zinaida [17]
1 year ago
7

What is the height of a right triangle with an angle that measures 30 degrees adjacent to a base of 14

Mathematics
1 answer:
stepladder [879]1 year ago
3 0

The height of the right triangle is 8.08

<h3>Calculating the height of a triangle </h3>

From the question, we are to determine the height of the described right triangle

From the given information,

The angle measure is 30 degrees adjacent to the base

and

The base is 14

Using SOH CAH TOA

Adjacent = 14

Opposite = height of the triangle

Let the height the h

∴ Opposite = h

Thus,

tan 30° = h/14

h = 14 × tan 30°

h = 8.08

Hence, the height of the right triangle is 8.08

Learn more on Calculating height of triangle here: brainly.com/question/10082088

#SPJ1

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Which algebraic expression is equivalent to the expression below? 25/4(5x-4/5)+29
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Notice* No options are provided, so I will solve the expression.

Answer:

\frac{125x+96}{4}

Step-by-step explanation:

Step 1: Simplify \frac{4}{5}

Step 2: Rewriting the whole as an Equivalent Fraction

 Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

5x = 5x/1 = 5x * 5/5

<em>Equivalent fraction</em> : The fraction thus generated looks different but has the same value as the whole

<em>Common denominator </em>: The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

dding 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:

5x • 5 - (4)     25x - 4

--------------    =    ---------

5                        5  

Step 3: Simplify 25/4

Rewriting the whole as an Equivalent Fraction :

Adding a whole to a fraction

Rewrite the whole as a fraction using  4  as the denominator :

29 = 29/1 = 29 * 4/4

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

5 • (25x-4) + 29 • 4     125x + 96

---------------------------  =     -----------

4                                             4    

Final result :

 125x + 96

 —————————

     4    

___________

Terms and topics:

  • Dividing exponents
  • Polynomial roots
  • Nonlinear equations
  • Equations which are reducible to quadratic
  • Reducing fractions to lowest terms
7 0
2 years ago
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