Answer:
The approximate distance is 15416 miles....
Step-by-step explanation:
We have given:
A satellite is 19,000 miles from the horizon of earth.
The radius is 4,000 miles.
Lets say that BC =x
AO = OB = 4,000 miles
AC = 19,000 miles
The tangent from the external point forms right angle with the radius of the circle.
So in ΔABC
(OC)² = (AC)²+(OA)²
where OC = x+4000
AC = 19,000
OA = 4000
Therefore,
(x+4000)² = (19,000)² +(4,000)²
Take square root at both sides:
√(x+4000)² = √(19,000)² +(4,000)²
x+4000 =√361000000+16000000
x+4000 = √377000000
x+4000 = 19416.48
x= 19416.48 - 4000
x = 15416.48
Therefore the approximate distance is 15416 miles....
From the given description it seems that the small shaded circle lies within the larger circle as shown in image below:
The probability that a point choosen at random lies within the shaded area = Area of shaded region / Total area of the bigger cricle
So,
Probability = 78.5/314 = 0.25
Thus there is 0.25 or 25% probability that the point chosen at random will lie inside the shaded region.
4 + -1 1/3
Turn 4 into an improper fraction.
4/4 is equal to 12/3. We want both 4 and 1 1/3 to have the same denominator so that they could be subtracted from each other.
New question :
12/3 + - 1 1/3
Turn {-1 1/3} into an improper fraction.
(3 × 1) + 1 = 4/3
So, -1 1/3 = -4/3
Our new question :
12/3 + - 4/3
Simplify.
12/3 - 4/3 = 8/3
Turn into a mixed number.
2 2/3
~Hope I helped!~
Answer:
An experimental study
Step-by-step explanation:
An experimental study should be used. This will enable the energy drink manufacturer to have an experimental group and control group. Using experimental study, the effect of independent variables on the dependent variables can be determined with the amount of the drink consumed as the controlled factor.