Answer: 1/729
.........................
Answer: 8/17
Step-by-step explanation: The ratio for tangent is opposite/adjacent. The side opposite from Y has a length of 8, and the side next to it has a length of 15. These are the lengths of the legs of the triangle. To find the sine ratio, you need the hypotenuse.
The hypotenuse can be found using the Pythagorean theorem. 8^2=64 and 15^2=225. 225+64=289. The square root of 289 is 17. The hypotenuse has a length of 17.
The ratio for sine is opposite/hypotenuse. Take the value of the opposite from the tangent ratio (8) and the length of the hypotenuse (17) to get 8/17.
Answer:
X=5, X=9
Step-by-step explanation:
The first one has two sides that are equal length, so the angles opposite of those sides are equal. This means that there are 2 73 degree angles. A triangle only had 180 degrees, so the last angle is equal to 34 degrees. When you set 6x+4=34, x is equal to 5.
The second triangle is an equilateral triangle, so every angle is equal to 60 degrees. We can set 7x-3=60. Add 3 to isolate x. 7x=63. Divide by 7 to solve for x. x=9.
Answer:
x < 7
Step-by-step explanation:
4x-4<24
Add 4 to each side
4x-4+4<24+4
4x<28
Divide by 4
4x/4 <28/4
x < 7
