Answer:
(i) the other two sides are 6 and 6
(ii) the other two sides are 
Step-by-step explanation:
(i) Sine: sin(θ) = Opposite ÷ Hypotenuse
Cosine: cos(θ) = Adjacent ÷ Hypotenuse
Tangent: tan(θ) = Opposite ÷ Adjacent
Here adjacent side = 6
opposite side = d
angle = 45°
other angles are 90° and 45°
tan (45) = Opposite ÷ Adjacent
1 = d ÷ 6
∴ d = 6 × 1 = 6
so opposite side = 6
Hypotenuse ² = opposite side ² + adjacent side²
= 6² + 6²
= 36 + 36
= 72
hypotenuse = 
= 6
the other two sides are 6 and 6
(ii) here adjacent side = 4√3
angle = 30°
other angles are 90° and 60°
opposite side = d
tan ( 30) = opposite ÷ adjacent
= d ÷ 4√3
= d × (
)
3 d = 4
therefore d = 
therefore opposite side = 
Hypotenuse ² = opposite side ² + adjacent side²
=(
)² +(
)²
= 
therefore hypotenuse = 
=
the other two sides are 
Answer: B. (-6, 8).
Step-by-step explanation:
Answer:
negative.
Step-by-step explanation:
what is half of -6?
=-3, negative.
You owe your friend 6 dollars, and you have 0 dollars.
Your friend told you: you only have to pay half the money
so, instead of owing 6 dollars, you owe 3 dollars, which will still be equal to -3 dollars from your wallet :)
The two long sides are 63meters and the shorter sides are 21meters.
Answer:
From least likely to most likely:
Colorado Bronze wins
I Am Pat wins
Good Legs Lance wins
Step-by-step explanation:
Converting all probabilities to the same type may be easier to visualize and see the chances. Let's convert each chance to percentage:
P(I Am Pat wins) = 3/10 = <u>30%</u>
P(Good Legs Lance wins) = 0.6 = <u>60%</u>
P(Colorado Bronze wins) = 10%= <u>10%</u>
Thus, the desired order is:
Colorado Bronze wins
I Am Pat wins
Good Legs Lance wins