The measures of the angles of a triangle add to 180.
45 + 45 + 90 = 180
The measures of these three angles do add to 180, ,so there is at least one triangle with these angle measures.
Using AA triangle similarity, any triangle with the same angle measures will be similar.
From the figure you already see two triangles with angles 45-45-90. There is an infinite number of triangles with those angle measures.
Answer:
The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
10% of all resistors having a resistance exceeding 10.634 ohms
This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.
5% having a resistance smaller than 9.7565 ohms.
This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.
We also have that:
So
The mean is
The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.
Answer:
BC=11
Step-by-step explanation:
we need to find BC
and we know that
AB= x+2
AC=13
BC=2x+11
A, B and C are collinear
that means that
AB+BC=AC
x+2+2x+11=13
3x+13=13
3x=0
x=0
so BC=2(0)+11
BC=11
It is in simple form. There is absolutely nothing more that can be done, unless it is a joke. And math jokes are very hard to come by.
I don't think that y(y - 1)/(a + 2b) is any simpler.
Come to think of it, is that x^2 or y^2 on the top left.
I think my first answer is the best one. Nothing can be done.
Hello,
z=6+2i
||z||=√(6²+2²)=√40=2√10