Imagine that we cut the cone in half with a vertical plane. In this plane we'd see points a, b and c. We need to find the measure of angle bca, and then double that angle, to obtain the answer to this problem.
Note that tan (angle bca) = opp / adj = 2 / 6, or 1/3, or 0.333...
Working backwards to find angle bca, we use the inverse tangent function:
arctan 0.3333.. = approx. 0.322 radians, or 18.435 degrees.
Doubling that gives us the measurement of the angle formed between the line segments: 2(18.435 deg) = 36.9 degrees, approximately.
Answer:
o I = 4 cm, w = 9 cm, h = 3 cm
Step-by-step explanation:
The volume is given by V = l*w*h
w = 6 cm, I = 4,cm, h = 4 cm V= 6*4*4 = 96
o w = 7 cm, h = 3 cm, I = 5 cm V = 7*3*5 =105
o I = 4 cm, w = 9 cm, h = 3 cm V = 4*9*3 =108
o h = 5 cm, w = 6 cm, I = 3 cm V = 5*6*3 =90
The largest volume is
o I = 4 cm, w = 9 cm, h = 3 cm V = 4*9*3 =108
Answer:
a) 14960 bottles
b) 502 bottles
Step-by-step explanation:
Given that:
Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces
a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).
Therefore 68% fall within 0.14 ounces of the mean
the number of bottle = 22,000*68% = 14960 bottles
b) To solve this we are going to use the z score equation given as:
where x is the raw score = 23.72
From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228
The number of rejected bottles = 22000 × 0.0228 = 502 bottles
Answer:
20 % discount
Step-by-step explanation:
Lilian got 4 dollars off of the original price (20 - 16 = 4 )
4 / 20 * 100% = 20% off
