need help pleaseee !!!

Rewrite the limand as

(1 - sin(x)) / cot²(x) = (1 - sin(x)) / (cos²(x) / sin²(x))

… = ((1 - sin(x)) sin²(x)) / cos²(x)

Recall the Pythagorean identity,

sin²(x) + cos²(x) = 1

Then

(1 - sin(x)) / cot²(x) = ((1 - sin(x)) sin²(x)) / (1 - sin²(x))

Factorize the denominator; it's a difference of squares, so

1 - sin²(x) = (1 - sin(x)) (1 + sin(x))

Cancel the common factor of 1 - sin(x) in the numerator and denominator:

(1 - sin(x)) / cot²(x) = sin²(x) / (1 + sin(x))

Now the limand is continuous at x = π/2, so

[tex]\displaystyle\lim_{x\to\frac\pi2}\frac{1-\sin(x)}{\cot^2(x)}=\lim_{x\to\frac\pi2}\frac{\sin^2(x)}{1+\sin(x)}=\frac{\sin^2\left(\frac\pi2\right)}{1+\sin\left(\frac\pi2\right)}=\boxed{\frac12}[/tex]

Therefore , the solution of the given problem of inequality comes out to be x + 15 < x - 3  and x - 3 > x + 15

In mathematics, a connection or group of integers can be an inequality without the equal sign. Equilibrium  is always followed by equity. Inequality occurs when norms are still incompatible. Disparity and fairness have distinct traits. We chose to use the most typical symbol because components aren't always equivalent or similar to one another (). Any disparity, no matter how small or large, can also be used to evaluate values.

Here,

Let x represent the weather today.

The difference between today's temperature and last year's is three degrees, so last year's temperature was x - 3.

Since the weather was 15 degrees higher five years ago, the previous temperature was x + 15.

We can use the following language to describe the relationship between the temperature today and one year ago today but instead five years ago today with respect to the current temperature:

=> x + 15 < x - 3 (five years ago temperature is less least 1 year ago temperature) 

=> x - 3 > x + 15 (one year ago temperature is bigger than five years ago temperature) 

Therefore, the proper disparities are:

=> x + 15 < x - 3

=>x - 3 > x + 15

To know more about inequality visit:

https://brainly.com/question/29914203

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Answer: 1-14' 1" is prob. your width

Step-by-step explanation:

i can’t find out length Sorry.

Step-by-step explanation:

Scale : 4 in = 5ft.

1 in. = 5/4 = 1.25 ft

Actual length = 25 x 1.25 = 31.25 ft.

Actual width = 16 x 1.25 = 20 ft

Actual area = actual length x actual width

= 31.25 x 20

= 625 ft²

Answer:

please brailiest :)

yan ang lahat ng answer good luck

Answer:

6

Step-by-step explanation:

Answer:

22?

Step-by-step explanation:

24-2=22?????

Answer:

164m (to 3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

(×+6)^2 + (y -7 ) ^2=81

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

4/5 your dividing 4 by 5, so answer is B :)

The answer of this would be 8 feet long.

If you take 6 feet and put that into inches, the man would be 72 inches tall. at one oclock he casts a shadow that is 1/4 of his length. so if we take this knowledge to the tree and divide 32 feet by 4, we get 8 feet long

answer: 8 feet

Answer:

No. It is not safe.

Step-by-step explanation:

If the maximum safe incline for a ramp is said to be 8.5°, it means that the incline of any ramp that is greater than 8.5° is not safe.

Let's find the angle measure of the incline in the diagram given to ascertain whether it is safe or not.

Opposite side to angle of inclination = 20

Adjacent side to angle of inclination = 100

Apply the trigonometric function, TOA, which is:

Tan θ = Opp/Adjacent

Tan θ = 20/100

Tan θ = 0.2

θ = Tan^{-1}(0.2)

θ = 11.3099325° ≈ 11.3°

Angle of inclination for the ramp shown = 11.3°.

This is not safe because it has exceeded the maximum safe incline for a ramp which should be 8.5° maximum.

Answer:

Last year the percent of error was lower than this year. The smaller the percent of error, the closer the estimate is to the exact value. Last year, Ron made a better estimate.

Step-by-step explanation:

Let us assume R be the radius of circle We know that, area of circle = πR2 81πr2 = πR2 R = √81 r R = 9r Circumference = 2 πr = 2 π (9r) = 18πr

Answer:

1/2

Step-by-step explanation:

3/6 = 1/2

Answer:

D.$93.04

$25+$22.38+$6.95+$38.71 = $93.04

Answer:

1,632

Step-by-step explanation:

Answer:

0.66? (0.67 if you rounded it)

Step-by-step explanation:

2*1/3

2/3 = 0.6666666666

Answer:

origin

hope this helps!

Step-by-step explanation:

Answer:

Origin

Step-by-step explanation:

The origin of the graph (0,0) is the point where the two y and x axes intercept.

The origin determines every other point of the graph.  

Hope this helps!

Answer:

a=-1

b=[tex]\frac{2\pi }{3}[/tex]

c=0

d=0

Step-by-step explanation:

Answer:

k=77

Step-by-step explanation:

put this as the equation k/11=7

what divided by 11 equals 7. Just multiply 11 and 7 to get the answer.

Answer:

333

335

355

555

533

553

353

535

so I think 8

Answer:

1. <JNL

Step-by-step explanation:

Point N is the vertex of angle 1. Therefore, we can give <1 another name by using 3 letters which includes the letter of vertex point in the middle, and two other letters of the two rays that meets at the vertex point.

Thus, JN and LN meets at point N. Therefore angle 1 can be named as:

<JNL

Simplify

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

4

√

17

Decimal Form:

16.49242250

Hope this helped

can i be marked as brainliest

Answer:

24

Step-by-step explanation:

1/2(x1+x2)c x1=3 , x2=5 , c=6

:- 1/2(3+5)6 ( BODMAS)

:- 1/2(8)6 divide 8 by 1/2

:- (4)6 multiply both of them and the result = 24

Answer:

(2, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 3x - 4

2y = -x + 6

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

Figures A, B, and C are polygons

Step-by-step explanation:

Figure D is not a polygon because a polygon must consist only of straight lines, no curves

Answer:

y=mx+b

Step-by-step explanation:

thats the formula i think

Answer:

Step-by-step explanation know him just a joke just know class kids know from its young

Answer:

a_23 = 5

Step-by-step explanation:

The row is the first number so in a_23 The row is a 2

The column is the second number so the column is 3

The second row is 3 9 5 1

The third column number would be 5

The answer is a

Answer:

5

Step-by-step explanation:

[tex]a^{23} = 5[/tex]

Hope this helps

Answer:

125

Step-by-step explanation:

L x W x H

All are equal sides so 5 are all the lengths of each side of the cube.