What's the intervoluntation and inequality notation
1 answer:
As an inequality, you'd say , because there's a closed circle (meaning we'll have "or equal to") and the shading goes to the right (meaning we also want numbers greater than -11).
In interval notation, you first describe where the interval starts on the left and ends on the right. This starts at -11 and goes on forever, so we'll say it goes to infinity. Then you have to indicate if each end is included.
- The -11 has a solid dot, so -11 is included (again, that's we had "or equal to" before), so we'll put a square bracket on that.
- Infinity is not a number. It's an idea. Since it's not a number, it cannot be included, so it'll get a curved parenthesis.
The interval notation answer is:
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Answer:
The measure of angle N is 55°
Step-by-step explanation:
we know that
the law of cosines established
a² = b² + c² – 2*b*c*cos(A)
so
In this problem we have
a=ML=5.74 units
b=LN=4 units
c=MN=7 units
∠A=∠N=?
see the attached figure to better understand the problem
a² = b² + c² – 2*b*c*cos(A)------> cos (A)=[b²+c²-a²]/[2*b*c]
cos (A)=[4²+7²-5.74²]/[2*4*7]------> 0.57236
A=arc cos (0.57236)--------> A= 55°
therefore
The measure of angle N is 55°
