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o-na [289]
3 years ago
6

17. Find the value of x. Round to the nearest degree.

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Answer:

51. Don't completely know if it's correct though.

Step-by-step explanation:

I'd use sine, which is opposite side/hypotenuse. Here, I think the reference angle is x. The opposite side is 7, and the hypotenuse is 9. So...

sin(x) = \frac{7}{9}

sin(x) = 0.7777

Next we use inverse sine.

sin⁻¹(0.7777) = approximately 51

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The coefficient of x^ky^n-k in the expansion of (x+y)^n equals (nk). True or false.
AVprozaik [17]

Answer:

The correct option is;

False

Step-by-step explanation:

The coefficient of x^k·y^(n-k) is nk,   False

The kth coefficient of the binomial expansion, (x + y)ⁿ is  \dbinom{n}{k} = \dfrac{n!}{k!\cdot (n-k)!} = C(n,k)

Where;

k = r - 1

r = The term in the series

For an example the expansion of (x + y)⁵, we have;

(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵

The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15

Therefore, the coefficient of x^k·y^(n-k) for the expansion  (x + y)ⁿ = C(n,k) not nk

7 0
3 years ago
I need help with 7-12
Anton [14]
7). C

8). 60
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10).
28.50j < 100 > 18.50s
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3 years ago
there are two couches against a wall. if one takes up 4/9 of the wall and the other takes up 1/5 of the wall, how much of the wa
Angelina_Jolie [31]
4/9+1/5=20/45+9/45=29/45 of the wall is covered up by two couches
8 0
3 years ago
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Write 1/4 as a fraction with 8 as the denominator. Then add the fraction to 3/8. What is the sum? Write the fractions and the an
a_sh-v [17]

Answer:

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Step-by-step explanation:

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Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.

To add fractions with the same denominator just add the numerator, the denominator stays the same.

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3 years ago
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3 years ago
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