Answer:
Step-by-step explanation:
We have the quadratic equation i.e.
As, the roots of the quadratic equation are given by .
So, from the given equation, we have,
a = 1, b = -36 , c = -324.
Substituting the values in , we get,
i.e.
i.e.
i.e.
i.e. and
i.e. and
i.e. x = 43.45 and x = -7.45
Thus, the roots of the equation are 43.45 and -7.45.
Hence, the factored form of the given expression will be
Answer:
148°
Step-by-step explanation:
The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.
arc QN = 2(74°) = 148°
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<em>Comment on the question and answer</em>
Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.
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We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.
Answer: c.) Sales tax varies by state, so you can travel to a state with a lower tax rate and make your purchase there.
Step-by-step explanation:
Sales tax rates vary significantly from state to state, so you can save money if you know what state has a lower sales tax rate, so you can travel to that state and make your purchase there.
There is a list of states with lower sales tax rates:
1. Alaska 1.43% Sales tax rates
2. Hawaii 4.41% Sales tax rates
3. Wyoming 5.36% Sales tax rates
4. Wisconsin 5.44% Sales tax rates
5. Maine 5.50% Sales tax rates
6. Virginia 5.65% Sales tax rates
<h2><em>Spymore</em></h2>