Answer:
A) 30°
Step-by-step explanation:
All triangles angles add always to 180°, so we have two already 75° + 75° = 150° thus the angle is 30°
The computation shows that the acres that are in the lot will be 1.38 acres.
<h3>How to compute the value?</h3>
It should be noted that the information is that the house is on a 60,000-squarefoot and the there are 43,560 square feet in an acre.
Therefore, the acres in the lot will be:
= 60000/43560
= 1.38 acres
Therefore, the computation shows that the acres that are in the lot will be 1.38 acres.
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The apothem is the distance from which the altitudes of the triangle to one of its sides. It can be calculated through the equation below,
tan 30° = apothem / 0.5(length of side)
Substituting the known values,
tan 30° = 5 / 0.5x
The value of x from the equation above is 17.32. Multiplying this value by 3 (because a triangle has 3 sides), we get an answer of 51.96 cm or approximately equal to 52. Thus, the answer is letter B.
The correct answer is A) $75.85.
A discount of 20% means that the cost is 80% of the original. 80%=80/100=0.8
0.8(129) = 103.20
A discount of 30% means that the cost is 70% of the amount before discount. 70%=70/100=0.7
0.7(103.20) = 72.24
A sales tax of 5% means that it is 105% of the amount pre-tax. 105%=105/100=1.05
1.05(72.24) ≈ 75.85
Answer:
The value is c = 21.1445.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb.
This means that 
What value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight?
This 1 added to the value of X for the 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.
1 + 20.1445 = 21.1445
The value is c = 21.1445.
