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GREYUIT [131]
3 years ago
7

Suppose an isosceles triangle ABC has A= pi/6 and b=5=c. What is the length of a^2.

Mathematics
2 answers:
Oliga [24]3 years ago
3 0
Check the picture below.

mars1129 [50]3 years ago
3 0

Answer:

Option A. 5²(2-√3)

Step-by-step explanation:

In an isosceles triangle b = c = 5 and ∠A = π/6

By cosine rule in any triangle

a² = b² + c² - 2bc cosA

By putting the values of b, c and ∠A in the equation

a² = 5² + 5² - 2×5×5×cos(π/6) = 25 + 25 - (50√3/2) = 50 - 25√3

a² = 25(2-√3) = 5²(2-√3)

Therefore the answer is Option A. 5²(2 - √3)

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Which Exponential equation is equivalent to the logarithmic equation below? <br> C= in 3
Bess [88]

Answer

e^c = 3

Step by step explanation

The general exponential equation is y = a^x, where "a" is the base and "x" is the exponent.

We are given c = ln 3

Here the base is "e"

e^c = e^ln 3

e^c = 3             [base "e" and "ln" get cancelled because they are inverse]

Therefore, the answer is e^c = 3

Hope you will understand the concept.

Thank you.

                       

                                     

7 0
3 years ago
If the third term in a geometric sequence is 20, and the fifth term in the
Gwar [14]

Answer: A) 1/2

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

If the third term is 20, it means that

T3 = 20 = ar^(3 - 1)

20 = ar²- - - - - - - - - - 1

If the third term is 20, it means that

T5 = 5 = ar^(5 - 1)

5 = ar⁴- - - - - - - - - - 2

Dividing equation 2 by equation 1, it becomes

5/20 = r⁴/r²

1/4 = r^(4 - 2)

(1/2)² = r²

r = 1/2

6 0
3 years ago
The Pythagorean theorem is a formula used in solving for missing side lengths of a(n) ______ triangle.
sweet-ann [11.9K]
The correct answer would be a Right triangle
6 0
3 years ago
Read 2 more answers
1 What is the universe made of? ...
makvit [3.9K]

1. big planets and carbon dioxide

2. when god sent adam (the first human being) to earth and had a female with him they got married and gave birth to children and the children marry each other and so on.

3. yes we're the only alive humans within this universe, but outside the universe are god and his worshippers.

4. our human-shaped bodies are the way we feel, hear, look, and do lots more things!

5. when someone feels unlike normal.

6. to feel there's a side of u that can do the impossible.

7. things were passed down from generations so it's possible that "stuff" can be made back when adam came to earth but other than that there was "stuff" even before humanity.

8. yes

other than that, hope u got ur questions solved

8 0
2 years ago
Answer to volume of a balloon that is 17 meters
lisabon 2012 [21]
Is this the entire question?
8 0
3 years ago
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