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 
The equation that represents the given problem is (n-30) + n = 210. The correct option is the first option (n-30) + n = 210
<h3>Linear equation</h3>
From the question, we are to write an equation for the given problem
From the given information,
n = Tom's weight in pounds
If Jim weighs 30 pounds less than Tom
Then,
Jim weighs (n - 30)
Thus,
The sum of their weight is
(n-30) + n
∴ (n-30) + n = 210
Hence, the equation that represents the given problem is (n-30) + n = 210. The correct option is the first option (n-30) + n = 210
Learn more on Linear equations here: brainly.com/question/4681624
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Answer:
14
Step-by-step explanation:
Given that Steve invests in a circus production. The cost includes an overhead of $84,000, plus production costs of $2000 per performance. A sold-out performance brings in $8000.
Sales per performance =8000
Production cost per performance =2000
Contribution per performance = 
Overhead costs = 84000
Break even units = overhead cost/contribution per performance
= 
14 performances should be done to break even
7) 29/9; repeating
8) 301/20; terminating
9) -101/20; terminating
Yes and opposite and an absolute value of an integer will be the same.
