Distribute -6 ( 3c + 5)

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]

Answer:

1/2

Step-by-step explanation:

3/6 = 1/2

Answer: See explanation (btw, the answer is always in bold letters)

Step-by-step explanation:

1.) 1 gallon for $1.99

1/2 gallon for $0.98

1 gallon would be 0.98 × 2 = 1.96

2 gallons for $3.98

1 gallon would be 3.98 ÷ 2 = 1.99

2.) 621 ÷ 4 = 155.25

He pays $155.25 each payment!

3.) V = s³

s = 3

V = 3³

3 × 3 × 3 = 27

V = 27 m³

4.) This is a rectangle; the area of a rectangle is l × b.

L = 6.9

l × b = a

6.9b = 28.29

Divide both sides by 6.9

b = 4.1

The missing length is 4.1 m

5.) False

Answer:

a=-1

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

c=0

d=0

Step-by-step explanation:

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

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:

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:

1,632

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:

A circle of radius = 12 or diameter = 24 or circumference = 75.4 cm has an area of: 4.524 × 10-8 square kilometers (km²)

The area of the circular region will be 113 square centimeters.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

The formula to calculate the area of the circle is given by:-

A = πr²

Given that the diameter of the circular region is 12 centimeters. The radius will be half of the diameter.

r = d / 2

r = 12 / 2 = 6

The area of the region will be calculated as below:-

A = πr²

A = π x ( 6 ) x ( 6 )

A = 113.09 square centimeters

Therefore, the area of the circular region will be 113 square centimeters.

To know more about an area follow

https://brainly.com/question/24375372

#SPJ2

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:

y=mx+b

Step-by-step explanation:

thats the formula i think

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

#SPJ1

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:

please brailiest :)

yan ang lahat ng answer good luck

Answer:

333

335

355

555

533

553

353

535

so I think 8

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:

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

Answer:

(×+6)^2 + (y -7 ) ^2=81

Step-by-step explanation:

hope this helps

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:

164m (to 3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

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.

Answer:

your answer will be 3.8928

Step-by-step explanation:

have a nice day bye ^_^

Answer:

the first equation

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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

Answer:

I think so.

Step-by-step explanation:

With letters, no, and some shapes would be reversed, like a triangle with lengths that are all different from eachother.

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:

0.66? (0.67 if you rounded it)

Step-by-step explanation:

2*1/3

2/3 = 0.6666666666