Determine whether each figure creates the conditions to form a unique triangle, more than one triangle, or no triangle. Angle me
1 answer:
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First we are going to find the Area of the pond using the area of a circle formula: 
where
is the area of the circle
is the radius of the circle
We know for our problem that the pond will have a 6-foot radius, so
. Lets replace that value on our area formula:
We know that the <span>cost of installing the pond is $0.62 per square foot, so lets multiply the area we just found by the cost:
Total cost of pund=</span>
dollars
Now, let
be the width the rectangle, so its length will be 
. Remember that the area of a rectangle is width times length, so:
Since the cost of installing ties is $1, the cost of installing ties in our rectangle will be x^2+13x dollars.
<span>Stacy can spend no more than $536 on this project, so we can setup an inequality relating the cost of the pound and the cost of installing ties:
</span>
We can conclude that the inequality that can be used to fin the width,, of the patio is
where
We know for our problem that the pond will have a 6-foot radius, so
We know that the <span>cost of installing the pond is $0.62 per square foot, so lets multiply the area we just found by the cost:
Total cost of pund=</span>
Now, let
Since the cost of installing ties is $1, the cost of installing ties in our rectangle will be x^2+13x dollars.
<span>Stacy can spend no more than $536 on this project, so we can setup an inequality relating the cost of the pound and the cost of installing ties:
</span>
We can conclude that the inequality that can be used to fin the width,
Answer:
(-2)
Step-by-step explanation:
We have to find the determinant of the given matrix,
det A = (a - 1)(a² + a + 1) - (a + 1)(a² - a + 1)
= a(a² + a + 1) - 1(a²+ a + 1) - a(a² - a + 1) - 1(a² - a + 1)
= a³ + a² + a - a² - a - 1 - a³ + a² - a - a² + a - 1
= (a³ - a³) + (-a² + a² - a² - a²) - 1 - 1
= -2
Therefore, determinant of the given matrix is (-2).