Answer: A (1:2)
Step-by-step explanation:
Since there are 12 puppies total and 8 of the puppies are yellow labs, there must be 12 - 8 = 4 black labs. Now, the ratio of black labs to yellow labs is 4:8 because there are 4 black labs and 8 yellow labs. However, we can simplify this ratio by dividing the entire ratio by 4. In this case, we would get (4/4):(8/4), which simplifies to 1:2, which is the answer.
Answer:
x = 3, -1/2
Step-by-step explanation:
Use the quadratic formula: x = [-b ± √b² - 4ac]/2a
The square root sign should be over the entire expression b² - 4ac
In this problem, a = -6, b = 15, and c = 9
So, putting in those values, we get x = -15 ± √225+216, all divided by -12
Simplifying further, we get -15 ± 21 all divided by -12, or -36/-12 = 3 OR
6/-12 = -1/2
Distance formula: sqrt((x2-x1)^2 + (y2-y1)^2)
distance = sqrt((-1 -2)^2 + (-5-5)^2)
distance = sqrt(109)
Distance = 10.44
Answer:
wdym
Step-by-step explanation:
Answer:
±2.18 cm
Step-by-step explanation:
The definition of the sine of an angle (θ) is ...
Sin = Opposite/Hypotenuse
Then the hypotenuse (h) is found from ...
h = Opposite/sin(θ)
Differentiating with respect to θ gives ...
dh/dθ = Opposite×(-cos(θ)/sin²(θ))
For the given numbers, this is ...
dh/dθ = (36 cm)×(-√3/2)/(1/2)² = -72√3 cm/radian
The error of ±1° corresponds to ±π/180 radians, so the error is estimated to be ...
error = (dh/dθ)Δθ = (-72√3 cm/radian)(±π/180 radians) = ±0.4π√3 cm
error = ±2.18 cm
