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Nana76 [90]
3 years ago
10

I need help on this test. Will give Brainliest to whoever answers first! Pt. 6

Mathematics
1 answer:
Yuri [45]3 years ago
6 0
I think the answer to 14 is J
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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\}

8 0
3 years ago
7/8,42/48 determine whether each pair of ratios are equivalent ratios right yes or no
Nutka1998 [239]
Yes
7x6=42
8x6=48
Hope that helped :D
8 0
2 years ago
Find the area of the triangle SHOW WORK
Veseljchak [2.6K]

Answer:

1845 cm

Step-by-step explanation:

The formula of triangle is 1/2(b)(h)

B is the height and A is the base.

90 times 41 divided by 2

7 0
3 years ago
What is a hypotenuse? <br> I took this picture to help you explain it if you can. Thanks!
Tanzania [10]
So basically the hypotenuse is the part of the triangle that connects the two sides that create the right angle
3 0
2 years ago
Read 2 more answers
Write using exponents. (–4)(–4) 2. simplify. show your work.
Dmitriy789 [7]
32 is the answer and you write it out by copying what's in the calculator
6 0
2 years ago
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