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artcher [175]
3 years ago
5

Will mark brainliest! Would also really appreciate it if someone could explain it as well!

Mathematics
2 answers:
Greeley [361]3 years ago
8 0

Answer:

sin (x) ≥ 0, between 0° and 180° or 0 and π,

sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6

Step-by-step explanation:

guapka [62]3 years ago
6 0

Answer:

sin (x) ≥ 0, between 0° and 180° or 0 and π,

sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6

Step-by-step explanation:

This is how I would do it. Subtract sin(x) from both sides

2sin^{2} (x) - sin(x) ≥ 0 , then factor out sin(x)

sin(x) [2 sin(x) - 1] ≥0, then set each factor ≥ 0

sin(x) ≥ 0 and 2 sin(x) - 1 ≥ 0

sin (x) ≥ 0, between 0° and 180° or 0 and π

2 sin(x) ≥ 1

sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6

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Is a credit of $55 negative or positive ?
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positive

Step-by-step explanation:

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A local gym instructor has a course load that allows her to teach eight classes. At an interest meeting, 8 people wanted high-­‐
cricket20 [7]

Answer:

<u>The final curse load of the local gym instructor is this:</u>

<u>High-­‐impact aerobics = 1</u>

<u>Low-­‐impact aerobics =  4</u>

<u>Jazzercise = 1</u>

<u>Step exercise = 2</u>

Step-by-step explanation:

1. Let's apportion the class load using the Hamilton method

Number of classes the local gym instructor can teach = 8

Total number of students that want to take a class = 114 (8 people wanted high-­‐impact aerobics, 64 wanted low-­‐impact aerobics, 11 wanted jazzercise, and 31 wanted step exercise)

Standard divisor = 114/8 = 14.25

Now, we can apportion the students in in Standard quotas, this way:

High-­‐impact aerobics = 8/14.25 = 0.5614

Low-­‐impact aerobics = 64/14.25 = 4.49

Jazzercise = 11/14.25 = 0.7719

Step exercise = 31/14.25 = 2.1754

Now, we find the Minimum quota, just considering the whole number and don't taking into account the decimals, this way:

High-­‐impact aerobics = 0

Low-­‐impact aerobics =  4

Jazzercise = 0

Step exercise = 2

As we can see we have 6 classes and there are 2 still pending. Those 2 goes to the classes with the highest decimal portion, in this case, Jazzercise .7719 and High-­‐impact aerobics with .5614.

<u>The final course load is this:</u>

<u>High-­‐impact aerobics = 1</u>

<u>Low-­‐impact aerobics =  4</u>

<u>Jazzercise = 1</u>

<u>Step exercise = 2</u>

7 0
3 years ago
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m\angle LPM=\dfrac{m\widehat{LM}-m\widehat{WK}}2\impliesm\angle LPM=48^\circ

The angles in any triangle add to 180 degrees in measure, and \angle MLK\congruent\angle MLP and m\angle LMW=m\angle LMP, so that

m\angle MLK+m\angle LPM+m\angle LMP=180^\circ

\implies\boxed{m\angle LMW=67^\circ}

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Two planes that do not intersect are parallel
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