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MakcuM [25]
3 years ago
15

What is the exact value of cos 5pi/4 radians?

Mathematics
1 answer:
uranmaximum [27]3 years ago
3 0
Π radians = 180°
5 π / 4 = 5 · 180° / 4 = 900° / 4 = 225°
cos ( 5π/4 ) = cos 225°
With the unit circle we can find the exact value:
cos 225° = - √2 / 2 ≈ - 0.7071
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What is the sum of the first five terms of a geometric series with a1=15 and r=1/3
Solnce55 [7]

Answer:

15, 5, 5/3, 5/9, 5/27

Step-by-step explanation:

Recall, that the general form of a geometric series is

a, ar, ar², ar³, .........

where a is the first term and r is the ratio

It is given that the first time is 15, hence a = 15

also given that ratio is 1/3

hence the first 5 terms are:

15, (15)(1/3), (15)(1/3)^2, (15)(1/3)^3, (15)(1/3)^4

simplifying each term gives

15, 5, 5/3, 5/9, 5/27

6 0
2 years ago
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Find the measure of an<br> exterior angle of a regular<br> polygon with 18 sides.
Elenna [48]

Answer:

compute its exterior angle as 360/18, which is 20 degrees

Step-by-step explanation:

8 0
2 years ago
X=5y: 2x+5y=60<br><br> A) 10,4<br> B) 15,4<br> C) 20,4<br> D) 25,4
elena-14-01-66 [18.8K]

Answer:

C) 20, 4

Step-by-step explanation:

X = 5y

2x + 5y = 60

substitute in 5y for x: 2(5y) + 5y = 60

10y + 5y = 60

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x = 5y

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