Step-by-step explanation:
x = number of novels
y = number of dictionaries
x = 8y
88x + 208y = 13680
now, using the identity of the first equation in the second equation gives us
88(8y) + 208y = 13680
704y + 208y = 13680
912y = 13680
y = 13680/912 = 15
x = 8y = 8×15 = 120
so, there were 120 novels and 15 dictionaries sold.
The answer is a. 5. Good luck
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
X^2 + (y-8)^2 = 64
use the center for the left side of the equation. X goes with X, Y goes with Y. Always do the opposite sign. The equation is equal to the radius squared
Hope this helped : )
Answer:
Step-by-step explanation:
We have to determine which trigonometric ratio to use, depending on what is displayed for us, and we will be using the <em>cotangent</em> [or <em>tangent</em>] ratio, this time with two angle measures:
Extended Information on Trigonometric Ratios
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