Answer:
D: q/r
Step-by-step explanation:
Using SohCahToa:
SOH: Sin(θ) = Opposite / Hypotenuse
CAH: Cos(θ) = Adjacent / Hypotenuse
TOA: Tan(θ) = Opposite / Adjacent
Answer:
(4, 3 ) and (1.5, 8 )
Step-by-step explanation:
Given the 2 equations
2x + y = 11 → (1)
xy = 12 → (2)
Rearrange (1) expressing y in terms of x by subtracting 2x from both sides.
y = 11 - 2x → (3)
Substitute y = 11 - 2x into (2
x(11 - 2x) = 12 , that is
11x - 2x² = 12 ( subtract 12 from both sides )
11x - 2x² - 12 = 0
2x² - 11x + 12 = 0 ← in standard form
(x - 4)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 1.5
Substitute these values into (3) for corresponding values of y
x = 4 : y = 11 - 2(4) = 11 - 8 = 3 ⇒ (4, 3 )
x = 1.5 : y = 11 - 2(1.5) = 11 - 3 = 8 ⇒ (1.5, 8 )
The roses were 20 dollars :) have a good day.
Answer:
o.o cool
Step-by-step explanation:
Answer:
1.17 × 10^2
Step-by-step explanation:
Diameter of the sun is about 1.4 × 10^6 km
1.4*10^6 km = 1,400,000
Diameter of the planet venus is about 12000 km
12000 km = 1.2 × 10^4
Ratio of the diameters
Sun : Venus
1.4 × 10^6 km : 1.2 × 10^4
1.4 × 10^6 km / 1.2 × 10^4
1.4 / 1.2 × 10^6-4
1.166 × 10^2
Approximately
1.17 × 10^2
The approximate ratio of the diameter Sun to Venus is 1.17 × 10^2