Answer:
Step-by-step explanation:
Information provided
The eastern balloon makes an elevation angle of
and is positioned at a height of 461 m.
The western balloon creates an elevation angle of
and is positioned at a height of 296 m.
Considering that Erica is 1.6 m tall, the effective height of the Red balloon becomes 459.4 m,
while the effective height of the Blue balloon ends up at 294.4 m.
Utilizing trigonometric principles,




Now calculating the distance separating the two Balloons,


Answer:
To find the translation, utilize the coordinates of the provided image along with the corresponding vertices of the object. Once the translation is determined, calculate the coordinates of the other two vertices for the image using the formula IMAGE=OBJECT + TRANSLATION
Answer: The right answer is (A).
Step-by-step explanation:
Let X be the daily waste amount produced. X is distributed in a way that is close to Normal with an average of 348.5 pounds and a standard deviation of 38.2 pounds.
P(X > 350) = Normalcdf(lower: 350, upper: 1000, mean: 348.5, SD: 38.2) = 0.484.
The likelihood that John scores on the first attempt and misses the second is:
Answer:
Step-by-step explanation:
The triangle provided is a right triangle. The length of the opposite side is 244 yards, and the adjacent side measures 119 yards. To find the hypotenuse, we would utilize the Pythagorean theorem. The formula can be written as
Hypotenuse^2 = opposite side^2 + adjacent side^2
Thus, Hypotenuse^2 = 244^2 + 119^2
Hypotenuse^2 = 59536 + 14161
Leading to Hypotenuse = √73697 = 271.5 yards.
cos θ = adjacent side/hypotenuse
cos θ = 119/271.5 = 0.4383
Calculating θ gives us θ = Cos^-1(0.4383) = 64 degrees
The remaining angle is
90 - 64 = 26 degrees