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Leya [2.2K]
3 years ago
13

What’s the correct answer

Mathematics
2 answers:
QveST [7]3 years ago
7 0

Answer:

79°

Step-by-step explanation:

Using the cosine rule in ΔABC

cosA = \frac{b^2+c^2-a^2}{2bc}

with a = 14, b = 11, c = 11, then

cosA = \frac{11^2+11^2-14^2}{2(11)(11)} = \frac{46}{242}

A = cos^{-1}(\frac{46}{242}) ≈ 79°

DENIUS [597]3 years ago
7 0

Answer:

(A) 79°

Step-by-step explanation:

We can use law of cosine.

c²=a²+b²-2ab*cos(α)

14²=11²+11²-2*11*11*cos(A)

14²=2*11²-2*11²cos(A)

14²-2*11²=-2*11²cos(A)

-46= - 2*(121)*cos(A)

cos(A)= 46/242

arccos(46/242)=79°

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3 years ago
The binomial x-2 is a factor of the polynomial below. f(x)=x3+x2+nx+10 What is the value of n?
Nutka1998 [239]
<h3>Answer: n = -11</h3>

=========================================================

Explanation:

Since x-2 is a factor of f(x), this means f(2) = 0.

More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

So if we plugged x = 2 into f(x), we'd get

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Set this equal to 0 and solve for n

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3 0
3 years ago
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