For each of the following right triangles, set up a trigonometric ratio involving angle A and then find the
measure of Angle Aby using the appropriate inverse trigonometric ratio. Round to the nearest whole degree.

Answer:

B

Step-by-step explanation:

The asymptote of the function [tex]y = cot(x - \frac{2\pi}{3})[/tex] is at x = - π/3.

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

We know, tan = sin/cos.

Hence 1/tan = cos/sin = cot.

So, The denominator sin can not be zero, And sin is zero on π and - π.

Given, A function [tex]y = cot(x - \frac{2\pi}{3})[/tex].

At, x = - π/3.

Therefore, [tex]y = cot(\frac{\pi}{3} - \frac{2\pi}{3})[/tex].

[tex]y = cot(-\pi)[/tex], Which is undefined.

learn more about asymptotes here :

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Answer:

D) 3x^4 + 22x^3 + 31x^2 - 6

Step-by-step explanation:

1. Use distributive property throughout your equation.

2. Remove all opposites.

3. Add up all like terms.

4. Finish equation!

Sorry I wasn’t able to show you how I did it, but it’s hella hard to type out. Hopefully you got the concept and it helps. Good luck! :)

9514 1404 393

Answer:

Step-by-step explanation:

The top and bottom edges are parallel, and the shape has 4 sides. That means it is a trapezoid. The area can be found using the formula for the area of a trapezoid:

  A = 1/2(b1 +b2)h

  A = 1/2(85 mm + 218 mm)(322 mm) = 1/2(303)(322) mm² = 48783 mm²

Answer:

77

Step-by-step explanation:

as far as I can tell the steps between the given numbers are

-1

+4

-27

+16

1 can be expressed as 1³

4 can be expressed as 2²

27 can be expressed as 3³

16 can be expressed as 4²

my best guess is that next one is minus 5³ = -125

edit: technically the given steps can be expressed as

(-1)³

(-2)²

(-3)³

(-4)²

somewhat nicer pattern there

Answer:

15.9 units

Step-by-step explanation:

use the pathagorean theorem to find x.

a^2 + b^2 = c^2

6^2 + b^2 = 17^2

36 + b^2 = 289

-36             -36

[tex]\sqrt{b^{2} }[/tex]= [tex]\sqrt{253}[/tex]

b = 15.90597372

b = 15.9

Answer:

23833.41cm²

Step-by-step explanation:

A=πr2=π·87.12≈23833.40992cm²

That rounds up to 23833.41cm²

Step-by-step explanation:

its formula is pi r square so calculate iin own

Answer:

153.93804 in^2

Step-by-step explanation:

Area = radius^2 π = 7^2 π = 153,93804 in^2

Answer:

[tex]area = \pi \: r \:^{2} \\ = \pi(7) ^{2} \\ = 153.938 \: in ^{2} [/tex]

9514 1404 393

Answer:

  x = 48

Step-by-step explanation:

The sum of the angles in a pentagon is 540°, so you have ...

  90° +100° +110° +2x° +3x° = 540°

  5x = 240 . . . . . . . divide by °, subtract 300

  x = 48 . . . . . . . . . divide by 5

_____

Additional comment

The sum of angles in a convex n-gon is (n -2)×180°. For a pentagon, that's 3×180° = 540°.

Answer:

The sample size should be:

c. 204

Step-by-step explanation:

This is based on the assumption that in this campus, there are no more than 2040 students.  The sample size should be around 10% of the population, which is considered a good representative of the real population for the specific study.  If, however, the population is so large that 10% of the population will be more than 1,000, then the sample size should be limited to 1,000.

Answer:

B = 75°

Step-by-step explanation:

Using the Sine rule:

a / sin A = b / sin B = c / Sin C

a / sin A = b / sin B

20 / sin 48 = 26 / sin B

Cross multiply :

Sin B * 20 = sin 48 * 26

Sin B = (sin 48 * 26) / 20

Sin B = 0.9660882

B = sin^-1(0.9660882)

B = 75.036

B = 75°

The required value of P would be 64 for the given linear relationship.

A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.

Given that P varies inversely with the square of Q

P = k/Q²

As per the question, if Q is 8 and P is 9,

So 9 = k/8²

⇒ 9 = k/64

Apply cross-multiplication operation,

⇒ k = 576

If Q is 3, then

⇒ P = 576/3²

⇒ P = 576/9

Apply division operation, and we get

⇒ P = 64

Thus, the required value of P would be 64.

Learn about the linear relationship here :

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Answer:

π in²

Step-by-step explanation:

We'll begin by calculating the radius of the circle. This can be obtained:

Area of sector (A) = 4π in²

Angle (θ) = 120 °

Radius (r) =?

The radius of the circle can be obtained by using the formula for calculating the area of a sector. This is illustrated below:

A = θ/360 × πr²

4π = 120/360 × πr²

4π = ⅓ × πr²

Cross multiply

3 × 4π = πr²

12π = πr²

Divide both side by π

r² = 12π / π

r² = 12

Take the square root of both side

r = √12 in

Thus, the radius is √12 in.

Finally, we shall determine the area of the sector created by 30 °. This can be obtained as follow:

Radius (r) = √12 in

Angle (θ) = 30 °

Area of sector (A) = ?

A = θ/360 × πr²

A = 30/360 × π(√12)²

A = 1/12 × 12π

A = π in²

Therefore, the area of the sector created by 30 ° us π in².

Answer:

63.25 sq ft

Step-by-step explanation:

Area of Semi-Circle = (Pi * r²)/2 + (6 * 8)/2

(3.14 * 25) /2 + 24

= 63.25

Answer: 72x(elevated 4)y(elevated 3)

Step-by-step explanation:

4xy(2x2y)(3xy)(3)

Answer:

x = -15,46 thì y ≈ 34,46

x = 2,46 thì y ≈ 16,54

Step-by-step explanation:

x + y = 19 => x = 19 - y (1)

thay x = 19 -y vào phương trình 11x + x^2 = 2y ta có:

11 * (19 - y) + (19 - y)^2 =2y

=> 209 - 11y + 361 - 38y + y^2 = 2y

=> y^2 - 51y + 570 = 0

=> y ≈ 34,46 và y≈16,54

thay y ≈ 34,46 vào phương trình (1) có:

x = 19 - 34,46 = -15,46

thay y ≈ 16,54 vào phương trình (1) có:

x = 19 - 16,54 = 2,46

Answer:

Step-by-step explanation:

11x+x^2= 2y

Y + x = 19

Multiply and re-arrange second equation:

2y = 38 - 2x

Substitute into first equation:

11x + x^2 = 38 - 2x

Re-arrange:

x^2 + 13x - 38 = 0

Solve using quadratic formula:

x = (-13+(13^2-4*(-38))^(1/2))/2 or (-13-(13^2-4*(-38))^(1/2))/2

x = 2.46 or -15.46

Substitute back to solve for y:

y = 19 - 2.46 or 19 + 15..46

y= 16.54 or 34.46

The correct answer is A. 5.4% after rounding my answer off to the nearest tenth of a percent.

Answer:

also 108°

2, 4, 6 and 8 are the angles

an the other group of same angles is 1, 3, 5 and 5

Answer:

98

Step-by-step explanation:

The absolute value of a number different from 0 is always positive

- * - = +

15 + 83 = 98

Answer:

-40% change

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relationships between triangle sides and trig functions. These abbreviations tell you that ...

  Sin = Opposite/Hypotenuse   ⇒   sin(x) = b/c

  Cos = Adjacent/Hypotenuse   ⇒   cos(x) = a/c

  Tan = Opposite/Adjacent   ⇒   tan(x) = b/a

Answer:4 hours

Step-by-step explanation:

7 divided by 5= 1.4

1.4x4=5.6

Answer:

see explanation

Step-by-step explanation:

Given

x² , then when x = - 4

x² = - 4 × - 4 = + 16

[ the product of a negative and a negative results in a positive ]

Answer:

C. 16oz container

Step-by-step explanation:

I can explain my answer in the comments if needed, but C is the correct answer :)

Answer:

Sarah can do 17 push-ups each minute.

Step-by-step explanation:

4 minutes = 68 push ups

68  divided by 4 = 17 push ups

1 minute = 17 push ups

Answer:

x=3

Step-by-step explanation:

Log base 5 of 125=x

that is equal to 5x5x5 which is 125

5 is multiplied 3 times so x is 3

Answer:

17 and 32

Step-by-step explanation:

x + (x + 15) = 49

2x + 15 = 49

2x = 34

x = 17

x + 15 = 32

Answer:b

Step-by-step explanation:

Answer:

A. 3 [tex]\frac{1}{4}[/tex]

Step-by-step explanation: