Answer:
The length of AC is 12.08 cm.
Step-by-step explanation:
Given:
In triangle ABC, AB = 8.2 cm, C = 13.5 cm and angle A = 81 degrees.
Solution:
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This is erinna's answer, no need to thank me, thank her instead
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Using Law of Sines, we get
Using angle sum property, we get
Now,
Therefore, the length of AC is 12.08 cm.
Short Answer f(x) down 5 units, left 2 units and right side up from g(x)
Step OneFind out what -g(x+2) is.
There are two steps to this. The first is to deal with the minus sign
(g(x)) = - x^2 + 5. Be very careful what you do next.
Put brackets around both terms on the right.
g(x) = (-x^2 + 5) Now put the minus sign in front of g(x) and another one in front of the brackets.
-g(x) = - (-x^2 + 5) Remove the brackets.
-g(x) = x^2 - 5
<em>Result</em>
So far g(x) moves down 5 units and opens upward.
Step TwoThe second step is to see what the x + 2 does.
-g(x + 2) = (x + 2)^2 - 5
The final result is that the graph opens upward, moves left 2 spaces and down 5.
There is a graph enclosed to show you the key steps.
The red graph is g(x) = x^2 - 5
The blue graph is g(x+2) = (x+2)^2 - 5
Let the length be x
width = x - 8
Perimeter = Length + Length + Width + Width
x + x + x - 8 + x - 8 > 184
4x - 16 > 184
4x > 184 + 16
4x > 200
x > 50
Therefore:
Length > 50
Width > 50 - 8
Width > 42
Ans: Length > 50, Width > 42
Step-by-step explanation:
<5, 2> - <2, -3> = <5 - 2, 2 - (-3)> = <3, 5>