She can form only one such triangle. The given angle 'fixes' the shape of the triangle. Once the angle is given, the third side is also fixed.
So we have the first 2 sides, say a and b, and the third side c, fixed by fixing the angle between a and b. By Side Side Side congruence postulate, any triangle with sides a, b, c will be the exact same triangle as the one we constructed.
The union and intersection of the sets is given as { -4, -9 , 19} and { -4} respectively.
<h3>What is a set?</h3>
A set is simply a mathematical model for a collection of different things which could be elements or members.
Union of sets represented with '∪' is the combination of two sets without repetition
Intersection of sets represented with '∩' is the sum of elements common between the.
From the expression given, we have;
[-9,-4] U (-4, 19)
= { -4, -9 , 19}
[-9,-4] U (-4, 19)
= { -4}
Thus, the union and intersection of the sets is given as { -4, -9 , 19} and { -4} respectively.
Learn more about sets here:
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Answer:
The diameter is 14.68
Step-by-step explanation:
To get the diameter of a diameter from a given circumference, you just have to divide the circumference by Pi, as follows:
D=46.129/Pi
D=14.68
Answer:
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 29.5
Standard deviation r = 5.2
Number of samples n = 59
Confidence interval = 90%
z-value (at 90% confidence) = 1.645
Substituting the values we have;
29.5+/-1.645(5.2/√59)
29.5+/-1.645(0.676982337100)
29.5+/-1.113635944529
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Answer:
area of whole triangle is 3
area of triangle cut in half is 1.5
Step-by-step explanation:
Area: (.5)(8)(3/4)=3
Area of each triangle. It would be split down the middle. from a to c
3/2=1.5
