Answer:
So we have
.
Step-by-step explanation:
Ok so we are in quadrant 2, that means sine is positive while cosine is negative.
We are given
.
So to find the opposite we will just use the Pythagorean Theorem.
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
![(2)^2+b^2=(3)^2](https://tex.z-dn.net/?f=%282%29%5E2%2Bb%5E2%3D%283%29%5E2)
![4+b^2=9](https://tex.z-dn.net/?f=4%2Bb%5E2%3D9)
![b^2=5](https://tex.z-dn.net/?f=b%5E2%3D5)
This is the opposite side.
Now to find
and
.
.
Some teachers do not like the radical on bottom so we will rationalize the denominator by multiplying the numerator and denominator by sqrt(5).
So
.
And now
.
So we have
.
Answer:
8a² - 5a - 5
Step-by-step explanation:
Step 1: Define
(a² - 6a - 8) + (7a² + a + 3)
Step 2: Combine like terms
8a² - 5a - 5
When 2 lines cross the angles across from equal are equal so the 31 degree angle is the value of the second angle in the left hand triangle. You now have 2 angles with values of 31 degrees 33 degrees. Add these 2 together to get 64 degrees. To get the third angle subtract this from 180 degrees which is the total degrees in a triangle. The third angle is 116 degrees. When two angles are on one side of a straight line, their sum is 180 degrees. That is true of the two bottom angles in the triangle on the right. You need to subtract each of the known angles from 180 degrees. 180 - 116 = 64 and the other is 180 - 96 = 84. To find angle x add these 2 angles and subtract from the total number of degrees in a triangle which is 180 degrees. 84 + 64 = 148. Subtract from 180. X = 32.
Answer:
jose drove 51100
Step-by-step explanation:
1. (24x365x35)+(35/4(round down to next whole integer)(x24))=306600
2. 306600/6
Answer: 3
Step-by-step explanation:
Multiply the numerator to get 3 x 6 is 18
Multiply the denominator to get √6 x √6 = 6
Divide 18 by 6 to get the answer is 3