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ElenaW [278]
1 year ago
10

In which of the following intervals does the trigonometric inequality sec(x) < cot(x) always hold true.

Mathematics
1 answer:
Ray Of Light [21]1 year ago
8 0

The inequality for sec (x) < cot (x) is;  π/2 < x < π

<h3>How to express trigonometric inequality?</h3>

We are given that;

We want to find the intervals that the trigonometric inequality sec (x) < cot (x) always hold true.

This can also be expressed as;

1/cos (x) < 1/tan (x)

Now, this can happen only in the quadrant where tan (x) is negative and cos x is positive which is in fourth quadrant where;

π/2 < x < π

The inequality for sec (x) < cot (x) is;  π/2 < x < π

Read more about Trigonometric Inequality at; brainly.com/question/12094532

#SPJ1

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I will give brainiest to whoever answers correctly !!
IgorC [24]

Answer:

Interest rate, R = 244%

Step-by-step explanation:

Given the following data;

Principal = $270

Simple interest = future amount - principal = 309.60 - 270 = $39.60

Time = 22/360 = 0.06 years

To find the interest rate?

Mathematically, simple interest is calculated using this formula;

S.I = \frac {PRT}{100}

Where;

  • S.I is simple interest.
  • P is the principal.
  • R is the interest rate.
  • T is the time.

Substituting into the equation, we have;

39.60 = \frac {270*R*0.06}{100}

Cross-multiplying, we have;

39.6 * 100 = 16.2*R

3960 = 16.2R

R = \frac {3960}{16.2}

<em>Interest rate, R = 244.44 ≈ 244%</em>

<em>Therefore, the pawnbroker charged Elisa a simple interest rate of 244%.</em>

5 0
3 years ago
Sandra swims the 100-meter freestyle for her school’s swim team. Her state’s ranking system awards 3 points for first place, 2 p
Elina [12.6K]

Answer:

2.25

Step-by-step explanation:

The total frequency is:

20 + 12 + 6 + 2 = 40

Calculate the probability of each score:

P(X=3) = 20/40 = 0.50

P(X=2) = 12/40 = 0.30

P(X=1) = 6/40 = 0.15

P(X=0) = 2/40 = 0.05

So the expected value is:

E = (3)(0.50) + (2)(0.30) + (1)(0.15) + (0)(0.05)

E = 2.25

5 0
2 years ago
I need help with this Adding Fractions problem. If you answer and fill out this whole page I will love you for the rest of my li
zhannawk [14.2K]

Answer:

omigosh hope she gets better i will look at the pdf and solve

Step-by-step explanation:

okay so for most of them you can just multiply by the denominator to turn it into a regular number (to get it out of fraction form) and then use basic algebra to solve for x. I 'll write the answers to problems 1-9 in the comments

8 0
2 years ago
If m∠2 = 130°, what is m∠6?
slega [8]

Answer:

m<6 = 130°

Step-by-step explanation:

If m∠2 = 130°, what is m∠6?

Find the diagram attached

From the digram we can see that the vertical lines are parallel. Hence based on geometry;

m<2 = m<6 (corresponding angles)

Given m<2 = 130°, hence m<6 = 130°

8 0
3 years ago
Is 2,750 a reasonable answer for 917 x 33? Explain.
vovangra [49]

No, 2750 is a sadly unreasonable estimate. 917 is almost 1,000 . 33 times as much is around 30,000 . 2,750 is less than 3,000 .

Step-by-step explanation:

so it will be 3,0261

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2 years ago
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