2 years ago

Which shows the use of the associative property?

Mathematics

1 answer:

aivan3 [116]2 years ago

6 0

Answer:

B shows the associative property

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Can someone show me how to factor this please?

Alex_Xolod [135]

Answer:

$\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}$

Step-by-step explanation:

We want to solve the equation:

$2\sin ^2 \theta + 3\sin \theta + 1 = 0$

In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

$\displaystyle 2u^2 + 3u + 1 = 0$

Factor:

$\displaystyle (2u+1)(u+1) = 0$

By the Zero Product Property:

$\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0$

Solve for each case:

$\displaystyle u = -\frac{1}{2} \text{ or } u = -1$

Back-substitute:

$\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1$

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

$\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}$

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3 years ago

. Given the first term "a" and the common ratio "r", generate the next three terms in the geometric sequence: a = 12.3; r = 0.5.

IRINA_888 [86]

Answer:

i wanna say 12.8, 13.3, 13.8

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When bicycles are sold for $200 each, a sports shop can sell 90 bicycles in a season. For every $10 increase

77julia77 [94]

Maybe try add it then takeaway most of it

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Zielflug [23.3K]

Answer:

Step-by-step explanation:

This is 55 because you need to make a sum of 180 when making a line and 125+55=180

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yawa3891 [41]

1. Add -4.5 to 18.5
2. Divide 23 by 7
3. Then subtract 6 from -2.7

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3 years ago

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