Nico has 70 stamps. About 5/8 of them are animal stamps. About how many of Nico's stamps are animal stamps?
1 answer:
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Answer:
The area of the triangle is 351cm^2.
Step-by-step explanation:
To find the area of a triangle, the formula is (1/2) x base x height. In this case, the height would be a line that cuts straight through the center of the triangle. However, this height is not given to us. We can still find it through Pythagoras' Theorem though.
Let A be the tip of the triangle, and B and C be the points on either side of the triangle. Assuming an imaginary line that cuts the triangle in a symmetrical half, let T be the point at the end of the line, directly below point A.
Using Pythagoras' Theorem,
AB^2 = AT^2 + TB^2
AT^2 = AB^2 - TB^2
AT^2 = 30^2 - (26/2)^2
AT^2 = 30^2 - 13^2
AT =
AT = 27.0370116692
So the length of AT is our height. We can now find the area of the triangle.
Area of triangle = (1/2) x 26cm x AT
Area of triangle = 351.4811516996
Area of triangle = 351cm^2 (To 3s.f.)
Answer:
C) Casey is incorrect because more than one student can have the same GPA.
Step-by-step explanation:
Casey states that there exists a function if we have,
Input = Student's GPA
Output = Student's name
Now, a function is a relation where for each value of 'x', the value of 'y' is unique.
From the given statement, we have that,
<em>A function exists if corresponding to every GPA, there exists only one student, which cannot be true.</em>
There can be more than one students having the same GPA.
Thus, the correct option is,
C) Casey is incorrect because more than one student can have the same GPA.