The answer for the completion exercise shown in the image attached above is:
1) Multilplication property of equality (If you multiply mEFG+mGDE=360° both sides of the equation by 1/2, you obtain 1/2(mEFG)+1/2(mGDE)=180°).
2) m∠D=1/2(mEFG)
3) m∠F=1/2(mGDE)
4) By the substitution property of equality (Because if you substitute m∠D=1/2(mEFG) and m∠F=1/2(mGDE) into 1/2(mEFG)+1/2(mGDE)=180°, you obtain: m∠D+m∠F=280°).
Rise over run would be a thing to start with since you use graphs<span />
Answer:
Step-by-step explanation:
Having a job that pays at $7 per hour is quite nice. And the question says that if he does overtime, he gets 1 and a half times the normal price of $7. This means that, for every overtime he works, he will get paid at
7 * 1.5 = $10.5
The question didn't state what, but if it's anything to go by the wages expected to be paid then I'd say the job isn't worth it if it's overly stressful. I said so because most jobs out there aren't really about the workers, but the money instead.
Answer:
9 cm
Step-by-step explanation:
Since the container is a cylinder of base diameter d₁ = 12 cm and thus radius r = 12/2 = 6 cm. The water height is 8 cm. The initial volume of water is thus V₁ = πr²h = π × 6² × 8 = 288π cm³.
The sphere of diameter d = 6 cm has radius r₁ = 6/2 = 3 cm. Its volume V₂ = 4πr³/3 = 4π × 3³/3 = 36π cm³
Since the sphere displaces it own volume of liquid, the new volume V = V₁ + V₂ = 288π cm³ + 36π cm³ = 324π cm³
This is the new volume of water in the cylinder. Since the water level rises by h' cm and V = πr²h'
h' = V/πr²
= 324π cm³/π(6)²
= 324π cm³/36π cm²
= 9 cm
So, the water level is 9 cm above the base
Answer:
C and D
Step-by-step explanation:
