Please help me out with this problem

The exact value of the cotangent of theta in simplest radical form is -21/20.

What is the simplest radical form?

The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.

To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.

Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:

[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]

Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:

cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)

sin(theta) = opposite/hypotenuse = -20/sqrt(1241)

Now we can find the value of cotangent of theta:

cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))

= -21/20

Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.

To learn more about the simplest radical form, visit:

https://brainly.com/question/565192

#SPJ1

Answer:

36 sq inches

Step-by-step explanation:

bases are the two parallel sides -- 8" and 4"

height is perpendicular to the base -- 6"

formula for area of a trapezoid:  A = 1/2h·(sum of bases)

A = 1/2(6)(8 + 4)

A = 3(12)

A = 36 sq inches

Answer:

the answer is 66feet

Step-by-step explanation:

can i get a brainliest plz

Answer:

57

Step-by-step explanation:

tax

= tax percentage×amount

= 0.04×50

= 2

The tax was $2.

tip

= tip percentage×amount

= 0.10×50

= 5

Based on the information given the total cost is $57.

Using this formula

Total cost=Takeout cost+ Sales tax +Tip

Where:

Takeout cost=$50

Sales tax=(4%×$50)=$2

Tip=(10%×$50)=$5

Let plug formula

Total cost=$50+$2+$5

Total cost=$57

Inconclusion the total cost is $57.

Learn more about sales tax here:https://brainly.com/question/24314569

Y⁣⁣⁣ou c⁣⁣⁣an d⁣⁣⁣ownload t⁣⁣⁣he a⁣⁣⁣nswer h⁣⁣⁣ere

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

292.75mL

Step-by-step explanation:

From the ideal gas equation

PV= nRT

With each symbols having standard meaning

For pressure remaining constant the equation for two states can be written as

[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]

Given V_1 = 300mL, T_1 = 17° C = 290K and T_2 = 10°C or 283K

Now plugging values in above equation to find V_2

[tex]\frac{300}{290} =\frac{V_2}{283}\\V_2 =\frac{300}{290}\times283 = 292.75mL[/tex]

Therefore, the volume at 10 degrees Celsius = 292.75mL

Answer:

would it be $644

Step-by-step explanation:

because if you multiply 24 x 3 that gives you 99 and then multiply 99 by $7 that gives you 644. i could be wrong but i dont know :3

Answer:

$644

Step-by-step explanation:

Step 1)

First we do 23 x 4 to find the total tickets sold and we get 92 tickets sold altogether

Step 2)

Then we do 92 x $7

FINAL ANSWER)

$644

Answer:

C

Step-by-step explanation:

This is the only option where every x-value only goes to one y-value, which is what has to happen in order for it to be a function.

Answer:

a

Step-by-step explanation:

Answer:

C) linear association

Step-by-step explanation:

Answer:

they are not equivalent

Step-by-step explanation:

12/27 reduces to 4/9 if you divide by 3

20/36 reduces to 5/9 if you divide by 4

4/9 ≠ 5/9

Step-by-step explanation:

Get your answer by reducing them:

12/27=4/9 ( in the table of 3)

20/36=5/9 ( in the table of 4)

hope it helps

Answer:

20 days?

Step-by-step explanation:

3 times a day is 15 and 300 ÷ 15 = 20

Answer:

C

Step-by-step explanation:

EDGE

D

L

K

C

Answers in order from 5-8

Answer:

(-1,-4)

Explanation:

The vertex of a parabola is the point where the parabola crosses its axis of symmetry.

Answer: The volume is the product of the Length, Width, and Height: V = LWH.

Step-by-step explanation: We are given V = 240 in.3, and H = 6 in., and L = W + 3 in.

Thus 240 in.3 = (W+3 in.)*W*(6 in.) so W(W+3 in.) = 240 in.3 / 6 in. = 40 in.2

Using the distributive property and moving the constant to the left gives:

W2 + (3 in.)W - 40 in.2 = 0

This factors:

(W + 8 in.)(W - 5 in.) = 0

The first factor gives W = -8 in. which is nonsense because it is negative.

The second factor gives a valid answer of W = 5 in.

Answer:

8 x 4 x 12 = 384

Step-by-step explanation:

8 x 4 x 12 = 384

your answer would be 384

Step-by-step explanation:

8(4)(12)= 384

Answer:

5cx12a=342t+2550

Step-by-step explanation:

C=Child

A=Adult

T=Ticket

Answer:

[tex]\huge \purple {\boxed { m\angle C = 47\degree}} [/tex]

[tex] \huge \red {\boxed { \widehat{BC}=96\degree}} [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle C = \frac{1}{2} m(\widehat{AD}) [/tex]

[tex] \therefore m\angle C = \frac{1}{2}\times 94\degree [/tex]

[tex]\huge \purple {\boxed {\therefore m\angle C = 47\degree}} [/tex]

Again by inscribed angle theorem:

[tex] m\angle A = \frac{1}{2} m(\widehat{BC}) [/tex]

[tex] \therefore 48\degree = \frac{1}{2} m(\widehat{BC}) [/tex]

[tex] \therefore 48\degree\times 2 = m(\widehat{BC}) [/tex]

[tex] \huge \red {\boxed {\therefore m(\widehat{BC}) =96\degree}} [/tex]

1/2 + 2/2 = 3/2

............................

Answer and Step-by-step explanation:

Section the figure into two 3D shapes.

We get both figures to be a rectangular prism.

The Volume of a rectangular prism is length times width times height.

V (of top Rectangular Prism) = 2 × 2 × 4 = 16

V (of bottom Rectangular Prism) = 6 × 4 × 2 = 48

Now, we add those two volumes together to get the volume of the irregular figure.

16 + 48 = 64.

The volume of the irregular figure is 64 [tex]cm^3[/tex]

#teamtrees #PAW (Plant And Water)

Answer:

2. 216cm3

3. 748.75

Step-by-step explanation:

Cube v=Bh

To get Base area 9cm x 4cm=36cm2

36cm2 x 6cm=216cm3

Answer:

Jeremy have 19 dollars left.

Step-by-step explanation:

He withdrew $4.50 3 times, so he withdrew $4.50x3 = $13.50 in total  

$32.50 — $13.50 = $19

Jeremy had 19 dollars left on his account.

Answer:

Matallica

Step-by-step explanation:

It's my personal favorite but also Nervana....

Answer: Nirvana

Step-by-step explanation: hoped this helped :)