Answer:
It has none. Angle A is obtuse, so it would have to be opposite the longest side. If side a is opposite angle A, then that is not the case.
Step-by-step explanation:
Answer:
It would be a female teacher 3 out of 4 times, and male 1 out of 4. You could make a circle, divide it into quarters, make a spinner and likely get male once of four times.
Answer:
a) the proportion is 0.159 (15.9%)
b) the proportion is 0.524 (52.4%)
c) Ralph is 70.958 inches tall
Step-by-step explanation:
defining our random variable X= heights of men , then we can define the standard random variable Z as
Z= (X- μ)/σ , where μ is the population's mean and σ is the corresponding standard deviation of X
then for X=72
Z= (X- μ)/σ
Z= (72-68)/4 = 1
a) P(X> 72) = P(Z> 1) = 1-0.841 = 0.159 (using standard normal distribution tables)
b) for X=64 and X=74
Z₁= (64 -68)/4 = -1
Z₂= (74-68)/4 = 1.5
then
P(68<X< 74) = P(-1<Z <1.5) 0 = P(Z<1.5) - P(Z<-1) = 0.933- 0.159 =0.774
c) Z₃ = 0.933 - 0.774*0.25 = 0.7395
thus
Z₃= (X₃- μ)/σ →X₃ =μ+ Z₃*σ = 68 + 0.7395*4 = 70.958 inches
therefore Ralph is 70.958 inches tall
Let's call the midpoint of GF M.
MF = 16/2 = 8
KF = 25.89
MK = sqrt(25.89^2 - 8^2)
MK = 24.62
MKF = 8 * 24.62 / 2 = 98.48 square units for one triangle
There are 20 of those triangles that make up the decagon.
Therefore the total area = 20(98.48) = 1969.6 which would be option C
The answer is 63 units, just add them up.
