In circle D, line AB is perpendicular to line CD. Use the diagram to answer a-b. Leave answers in radical form when necessary.

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of Cosec A is (√61)/(6).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The Cot is the ratio of the base of the triangle to the perpendicular side of the triangle, therefore, we can write,

Cot A = Base/Perpendicular = 5/6

Thus, the base of the triangle is 5 units, while the length of the perpendicular of the triangle is 6 units. Now the length of the hypotenuse side of the triangle is,

H² = 5² + 6²

H² = 25 + 36

H = √61

Now, the value of Cosec A can be written as,

Cosec A = Hypotenuse/Perpendicular = (√61) / (6)

Hence, the value of Cosec A is (√61)/(6).

Learn more about Trigonometric functions:

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Answer:

[tex]251 \frac{4}{5}[/tex] or [tex]\frac{1259}{5}[/tex]

Step-by-step explanation:

a(3x-8)=b-18x

TRANSPOSE

a(3x +18x)=b+8

a(21x)=b+8

Answer:

Given function

The value of y at x = 6:

The closest choice is :

The y-intercept is the value of y when x = 0

This is the initial temperature at zero minute time, before heating is applied.

Correct choice is:

Answer:

what is the question? it's not clear

Answer:

(10/3, -1)  

Step-by-step explanation:

So there are two different ways.  

First you could address for y and fitting it into the number cruncher. one condition for y1 and another for y2. At that point go second follow and press 5 and afterward press enter multiple times to discover the convergence.  

the subsequent path is to tackle by hand. I would recommend address the primary condition for y and attachment the condition tackled for y into the other condition. so y = - 3x + 9 and 3x-5y=15. At that point you could do 3x - 5(- 3x+9) = 15. At long last address for x and plug in x into the two conditions to check whether you get a similar y esteem.  

The appropriate response ought to be (10/3, - 1)

Answer:

x = 3 1/3, x = -1.

Step-by-step explanation:

3x + y = 9

3x - 5y = 15

Subtract second equation from the first to eliminate the 3x :

3x - 3x + y - (-5y) = 9 - 15

6y = -6

y = -1.

Plug y = -1 in first equation:

3x + -1 = 9

3x =  10

x = 10/3 = 3 1/3.

Answer:

1/4

Step-by-step explanation:

comparing with y=mx+c

Answer:

Just use the first one and you divide.

Step-by-step explanation:

Answer:

(-2,0)

Step-by-step explanation:

Answer:291

Step-by-step explanation:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

hoped this helped.

Answer:

a(2+3) i thinkk :((

Step-by-step explanation:

Answer:

Step-by-step explanation:

x ≤ 165

Hope that helps!

Answer:

Step-by-step explanation:

sorry do not .know

To find the value of g, we need to use the formula for the perimeter of a rectangle, which is:

P = 2(l + w)

where P is the perimeter, l is the length, and w is the width.

We are given that the width is 4g and the length is 28 - 3 = 25, so we can substitute these values into the formula:

54 = 2(25 + 4g)

Next, we can simplify the equation by first distributing the 2:

54 = 50 + 8g

Then, we can isolate g on one side of the equation by subtracting 50 from both sides:

4 = 8g

Finally, we can solve for g by dividing both sides by 8:

g = 4/8

Simplifying this expression gives us:

g = 1/2

Therefore, the value of g is 1/2.

Hope this helps <3

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Answer:

Divide

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of the quadrilateral is a sum of areas of two triangles with base of 8 m and hight of 2 m.

A = 2×0.5×8×2 = 16 m²

Answer:

y ≈ 6.7

Step-by-step explanation:

Using the sine ratio in the right triangle

sin26.5° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{15}[/tex] ( multiply both sides by 15 )

15 × sin26.5° = y , then

y ≈ 6.7 ( to 1 dec. place )

Answer:

Attached below is the missing figure

answer :  ∠ABD = ∠AbC  + ∠ CbD

Step-by-step explanation:

when Line BC is drawn to divide ∠ABD equally

solving each angle :

∠ABD  >  ∠AbC also angle

∠ABD  >  ∠ CbD

∴ ∠ABD = ∠AbC  + ∠ CbD

assuming ∠B = 60°

therefore ∠b = 60 / 30 = 30°

Answer:

x#2 and x-2 is the same

Step-by-step explanation:

Answer:

90 because you have one lollipop in each bag and then your will have 15 dollars left

Step-by-step explanation:

Answer:

He placed his most loyal subjects in government jobs. He developed civil service exams to reduce corruption. He enforced strict rules for workers to ensure job effectiveness.

Answer:

ahh

Step-by-step explanation:

Answer: 27

Step-by-step explanation:

Since we are informed that Gianna practices penalty kicks and that she made 18/24 of her penalty kicks yesterday, this will be converted to its simplest form which will be:

= 18/24 = 3/4 .

If she plans on shooting 36 penalty kicks, the number of penalty kicks that Gianna would have to make to successfully shoot an equivalent fraction as yesterday will be:

= 3/4 × 36

= 3 × 9

= 27 penalty kicks.

Answer:

p=10n+25

Step-by-step explanation:

Let's have p represent the number of pages you will read. If you read 10 pages per night, then you are multiplying 10 by the number of nights, which gives you 10n. Because you have already read 25 pages, you want to add to the 10n to give you the equation of p=10n+25

Answer:

Pages= 25 + 10n

Step-by-step explanation:

Since the starting point is 25, that remains constant. 10n represents 10 pages per night.

Answer:

im not sure but i think its 0.25

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

The formula for finding the area of a triangle is base · height ÷ 2, or [tex]\frac{bh}{2}[/tex]

After plugging in the numbers given to the formula, we find that the area of the triangle is 27.

Then to account for the length, we multiply the area of the triangle by 10.

This gets us to 270.