Answer:
![tan \theta = 4](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%204)
Step-by-step explanation:
We know that
![cosec \theta = \frac{hypotenuse }{opposite }](https://tex.z-dn.net/?f=cosec%20%5Ctheta%20%3D%20%5Cfrac%7Bhypotenuse%20%7D%7Bopposite%20%7D)
Given :
![cosec \theta =\frac{\sqrt{17}}{4}\\](https://tex.z-dn.net/?f=cosec%20%5Ctheta%20%3D%5Cfrac%7B%5Csqrt%7B17%7D%7D%7B4%7D%5C%5C)
So 4 is the opposite side of theta.
![tan \theta = \frac{opposite}{adjacent}](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%20%5Cfrac%7Bopposite%7D%7Badjacent%7D)
We use the Pythagorean theorem to find for the adjacent side.
Answer:
A:
i) ∠ABC is an inscribed angle
ii) ∠ATC is a central angle
B: ∠ABC = 150/2 = 75°
C: ∠ATC = 150°
To find the volume of a triangular prism, you can find the area of the base triangle, and multiply that value by the height of the prism.
So let's first find the area of the base triangle (which is its base times height, divided by 2):
![\frac{b \times h}{2} = \frac{4.5\times3}{2} = \frac{13.5}{2} =6.75](https://tex.z-dn.net/?f=%5Cfrac%7Bb%20%5Ctimes%20h%7D%7B2%7D%20%3D%20%5Cfrac%7B4.5%5Ctimes3%7D%7B2%7D%20%3D%20%5Cfrac%7B13.5%7D%7B2%7D%20%3D6.75)
Then, multiply this value by the height of the prism, which will give you the prism's volume:
![6.75 \times 9=60.75](https://tex.z-dn.net/?f=6.75%20%5Ctimes%209%3D60.75)
Your answer is 60.75 miles³, or option 2.
8x-16-3x=5x-15-1
5x-16=5x-16
X can be equal to anything.
If the first two terms are 1 and 1, then what is the tenth term?
Answer:
The 10th term will be 55
Explanation:
In the Fibonacci Sequence, we add the previous digits to get the next digit. So, here 1st term is 1.
First term= 1
Second term = 0+1= 1
Third term= 1+1=2
Fourth term= 1+2= 3
Fifth term= 2+3= 5
Sixth term= 3+5= 8
Seventh term= 5+8 = 13
Eighth term= 8+13= 21
Ninth term= 13+21= 34
Tenth term= 21+34 = 55
So, the 10th term is 55.