Answer:
1st scenario: 163.3°
2nd scenario: 125.2°
3rd scenario: 142.3°
Step-by-step explanation:
1st scenario: angles 1 and 2 form a linear pair and add up to 180
2nd scenario: angles 1 and 4 are same-side interior and add up to 180
3rd scenario: angles 1 and 8 are corresponding and equal; if angle 7 is 37.7 then angle 8 is 142.3 (they form a linear pair). Since angles 1 and 8 are equal then angle 1 is also 142.3
1. You divide by 100 to find the decimal version of any percentage, and do the opposite for vise versa
Using the dot product:
For any vector x, we have
||x|| = √(x • x)
This means that
||w|| = √(w • w)
… = √((u + z) • (u + z))
… = √((u • u) + (u • z) + (z • u) + (z • z))
… = √(||u||² + 2 (u • z) + ||z||²)
We have
u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37
z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74
u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46
and so
||w|| = √((2√37)² + 2•46 + (√74)²)
… = √(4•37 + 2•46 + 74)
… = √314 ≈ 17.720
Alternatively, without mentioning the dot product,
w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩
and so
||w|| = √((-5)² + 17²) = √314 ≈ 17.720
1/2 I’m just doing this answer because I need to finish setting up the account so it’s wrong my bad
Answer:
Step-by-step explanation:
R is the event of getting a red jelly bean. 22 out of the 150 jelly beans are red. That means it is a chance of getting a red jelly bean.
Simplified that is