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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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Can someone check this for me please?
anyanavicka [17]
Pretty good so far its hard also.

5 0
3 years ago
University Theater sold 465 tickets for a play. Tickets cost $23 per adult and $13 per senior citizen. If total receipts were $7
liq [111]

<u>Answer:</u>

355 senior citizen tickets were sold.

<u>Step-by-step explanation:</u>

Assuming a to the the ticket of adults and s to be the ticket of senior citizens, we can write two equations as:

a +s=465 --- (1)

23a+13s=7145 --- (2)

From equation 1, a=465-s.

Substitute a in equation 2 to get:

23 (465-s) + 13s = 7145

10695 - 23s +13s =7145

-10s = -3550

s = 355

Therefore, there were 355 senior citizen tickets sold.

8 0
2 years ago
Jorge's hourly salary is $7.65. last week he worked 23 hour week how much did he earn
lions [1.4K]
$7.65 × 23 = $175.95

Answer: $175.95
6 0
3 years ago
Please if your answering it please i need it step by step please
salantis [7]
I) there are 360 degrees in a circle.  So subtract all the numbers from 360 to get the angle for econ.

That angle is 65 degrees

ii) If 95 degrees represents 228 books, then 360 degrees represents "x" (total) books.  So we have an equation:
<u>95</u> = <u>360</u>
228     x

Solve for x, and we get x = 864

iii) The percentage is 80 degrees out of 360 degrees or 2/9 or roughly 0.222 or 22.2%
4 0
3 years ago
If the first term in an arithmetic sequence is –3 and the tenth term is 15, what is the common difference?
Triss [41]

Given that the First term of the Arithmetic sequence = -3

⇒ a = -3

We know that nth term of a Arithmetic sequence is : Tn = a + (n - 1)d

where a is the first term and d is the common difference

Given that 10th term is 15

⇒ T₁₀ = -3 + (10 - 1)d

⇒ -3 + (10 - 1)d = 15

⇒ 9d = 18

⇒ d = 2

⇒ Common difference of given Arithmetic Sequence is 2

6 0
3 years ago
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