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3 years ago

What is the missing term in the factorization? 100 x 2 −36=4(5x+?)(5x−3)

Mathematics

2 answers:

statuscvo [17]3 years ago

6 0

For all you k12 peeps out there, the answer is 3. Just took the quiz and got a 100%. You're welcome.

SIZIF [17.4K]3 years ago

4 0

100x^2−36=4(5x+3)(5x−3)

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Use the Law of Sines to find the missing angle of the triangle.

Natasha2012 [34]

Answer:

m∠B = 70.0° (nearest tenth)

Step-by-step explanation:

Sine Rule for Angles

$\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Given:

a = 13
c = 19
A = 40°

Substituting the given values into the formula to find m∠C:

$\implies \sf \dfrac{\sin 40^{\circ}}{13}=\dfrac{\sin C}{19}$

$\implies \sf \sin C=\dfrac{19\sin 40^{\circ}}{13}$

$\implies \sf C=\sin^{-1}\left(\dfrac{19\sin 40^{\circ}}{13}\right)$

$\implies \sf m \angle C=69.96086904^{\circ}$

Interior angles of a triangle sum to 180°

$\implies \sf m \angle A+ m \angle B+m \angle C=180^{\circ}$

$\implies \sf 40^{\circ} + m \angle B+69.960...^{\circ}=180^{\circ}$

$\implies \sf m \angle B=70.03913...^{\circ}$

Therefore, m∠B = 70.0° (nearest tenth)

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2 years ago

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Step-by-step explanation:

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3 years ago

Find the explicit formula for the given sequence.

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Answer:

Step-by-step explanation:

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The answer is: D) 60

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4 years ago

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Step-by-step explanation:

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