The length of Side C D is 11 inches and the length of Side C F is 11 StartRoot 3 EndRoot inches. What is the length of Side D F? Round to the nearest tenth.

11 inches
15.6 inches
19.1 inches
22 inches

Hello!

This problem is about relating trigonometric values to an unknown side.

We are given an angle side, and we can determine that another angle made would be a 90 degree angle.

Meaning we could solve for the third unknown angle by knowing that the interior angles of a triangle add up to 180 degrees.

[tex]65+90+x+180[/tex]

[tex]x=180-90-65[/tex]

[tex]x=25[/tex]

After knowing this, we could use the law of sines, which states that the ratio of a side and the sin of its opposite angle are equal to any other ratio.

[tex]\frac{16}{sin(90)}=\frac{b}{sin(25)}[/tex]

[tex]b=16sin(25)[/tex]

Make sure to be in degrees when putting this in a calculator.

[tex]b=6.8[/tex]

Hope this helps!

Answer:

(-2,0)

Step-by-step explanation:

Answer:

a. 281.25 grams

b. The 500 represent the original amount of aspirin.

c. 3/4 tells us what amount of the aspirin remains after every hour.

d's answer is in the picture. Just copy the line.

Step-by-step explanation:

A is the only part that needs any explanation.

Since the t represent hours, I'll subsititute t for 2.

500 * (3/4)²

3/4 squared is 9/16.

500 * 9/16

Multiply 500 by 9 to get 4500.

4500/16

Simplify 4500/16 to 1125/4 (4 is canceled out.)

1125/4

Divide 1125 by 4 to get 281.25

281.25

281.25 grams of aspirin will be in the patient body after two hours.

Answer:

7

Step-by-step explanation:

We know that alternate angles ( Z angles) are equal

So, the angle that is adjacent to (13x + 2) = (12x+3)

First, calculate the measure of the angle adjacent to (13x+2)

We know that the angles on a straight line add up to 180 degrees.

Therefore, the angle adjacent to (13x+2) = 180-(13x+2)

Simplify this to: 178-13x

So, now we have an equation

178 - 13x = 12x + 3

Rearrange to find the value of x

25x = 175

x = 7

Hope this helps.

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:

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

Answer:

a(2+3) i thinkk :((

Step-by-step explanation:

Answer:

im not sure but i think its 0.25

Step-by-step explanation:

Step-by-step explanation:

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

TRANSPOSE

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

a(21x)=b+8

Answer:

Equation: 65+1.50m=78.50

Solution to the equation= 9 minutes

Step-by-step explanation:

The parents have to give 65 dollars for their children to be under care till 6 o'clock. AFter 6 o'clock, they had to pay 1.50 dollars for one minute. This parent gives a total of 78.50 dollar for that day. So, the equation is :

65+1.50m=78.50

(btw, m stands for minutes)

So to solve the equation:

1.50m=13.50

m= 9

Answer:

1/4

Step-by-step explanation:

comparing with y=mx+c

Answer:

45 minutes

Step-by-step explanation:

you can disregard the 1:15 pm time

Answer:

45 minutes.

Step-by-step explanation:

You can ignore the 1:15 pm, as it's not relevant to the question of how much time you have spent in class.

11:45am to 12:30pm

Adding 15 minutes turns 11:45 am to 12:00 pm

Add another 30 minutes, it becomes 12:30 pm.

Calculate the sum of the minutes:

15+30 = 45 minutes.

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:

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

Step-by-step explanation:

Answer:

Divide

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:

Just use the first one and you divide.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Because of probability

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:

https://brainly.com/question/6904750

#SPJ1

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

Please give me Brainliest :)

Answer:

x#2 and x-2 is the same

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:

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: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.