A compact-disc case, or jewel case is 14 cm long, 12.5 cm wide, and 1 cm tall. What is the volume of the jewel case?
1 answer:
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Given:
Consider the given function is .
To find:
The remaining zero and y-coordinate of y-intercept.
Solution:
We have,
For zeros, .
So, three zeros of given function are -1, 3 and -2.
Putting x=0 in the given function, we get
So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).
Therefore, the zeros of the function are –1, 3, and -2 and the y-intercept of the function is located at (0,6).
No, it's not possible for the sides of a triangle to have those lengths.
According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.
This inequality satisfies the triangle inequality theorem.
This also satisfies the theorem.
Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.
According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.
This inequality satisfies the triangle inequality theorem.
This also satisfies the theorem.
Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.
Given the equation :
We will use estimation to find the value of the given expression
So, the best estimation for the number 576 is = 600
The best estimation for the number 8 is = 10
So, the given expression is approximately = 600 ÷ 10 = 60
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We can calculate the error of the approximation as following :
The actual value is : 576 ÷ 8 = 72
So, the difference is = 72 - 60 = 12
so, the percentage of error will be :