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Semenov [28]
3 years ago
7

What is the sum of the exterior angles? 105 360 145 180

Mathematics
1 answer:
KIM [24]3 years ago
8 0
Sum of exterior angles is 360 degrees
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21÷(4+3)-10 = <br><br> Please help me solve ^^
Dafna11 [192]

Answer:

-7

Step-by-step explanation:

21 ÷ (4+3) - 10

=> 21 ÷ (7) - 10

=> 3 - 10

=> -7

5 0
2 years ago
Does the series converge or diverge? If it converges, what is the sum? Show your work. ∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Given the series,

∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1

I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)

So,

∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞

There are different types of test to show if a series converges or diverges

So, using Ratio test

Lim n → ∞ (a_n+1 / a_n)

Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))

Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))

Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)

Lim n→ ∞ (-1/2)^(n-n+1)

Lim n→ ∞ (-1/2)^1 = -1/2

Since the limit is less than 0, then, the series converge...

Sum to infinity

Using geometric progression formula

S∞ = a / 1 - r

Where

a is first term

r is common ratio

So, first term is

a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1

a_1 = -4

Common ratio r = a_2 / a_1

a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2

a_2 = 2

Then,

r = a_2 / a_1 = 2 / -4 = -½

S∞ = -4 / 1--½

S∞ = -4 / 1 + ½

S∞ = -4 / 3/2 = -4 × 2 / 3

S∞ = -8 / 3 = -2⅔

The sum to infinity is -2.67 or -2⅔

Check attachment for better understanding

3 0
3 years ago
What’s the answer to<br> cos-1(168/240)
Nezavi [6.7K]

Answer:

ans= 45.6

Step-by-step explanation:

I think the ans is 45.6

I hope it will help u...

7 0
3 years ago
Brian has reduced his cholesterol level by 8% after his last check up. If his original level was 200, what is his cholesterol le
s2008m [1.1K]

Answer:

B. 184

Step-by-step explanation:

A proportion is an easy way to solve this:

\frac{100\%}{200}  =  \frac{92\%}{x}  \\ 100x = 92(200) \\ x = 92(2) \\ x = 184

6 0
3 years ago
4 + h - 8 - h expression
Bond [772]
4+h+-8+-h

(h+-h)+(4+-8)

Answer is =-4
6 0
3 years ago
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