Alex is decorating a circular cake. She wants to place a triangle with the longest possible side within the circle. The radius o
1 answer:
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Answer:
<h2>89.5°</h2>Step-by-step explanation:
Using the vector formula
|u| = magnitude of vector u
|v| = magnitude of vector v
u.v is the dot product of vector u and v
Given |u| = 88, |v| = 99 and u.v = 77, to get we will substitute the given values into the equation above;
In this problem, we need to plug in the given x values for 
and find a and b.
When we plug in 1, we get:
Simplify:
We got our first statement about the values of the variables. If we find one more we can find those 2 variables.
We have another given root: 4.
Plug it in:
Now we have our second one. We can combine them:
I use elimination method which is easier here.
Multiply the top equation by -1:
Add them up:
Simplify:
Now we have a, we can plug in one of those equations to find b:
So, the answers are
and 
.
When we plug in 1, we get:
Simplify:
We got our first statement about the values of the variables. If we find one more we can find those 2 variables.
We have another given root: 4.
Plug it in:
Now we have our second one. We can combine them:
I use elimination method which is easier here.
Multiply the top equation by -1:
Add them up:
Simplify:
Now we have a, we can plug in one of those equations to find b:
So, the answers are