Can somebody please help me ( picture above )

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

7 0

Answer:

D. A number of books and their cost that is not possible with either subscription.

Step-by-step explanation:

If you look at the 2 lines on the graph, you see that the blue line represents the first subscription which charges a 96 dollar annual fee, and the red line represents the other subscription which charges 3 dollars per book.

Every point along these lines shows a price that could possibly be paid and a number of books that could be bought. The point where these two lines meet is where the amount of books borrowed and the price for those books is the same for both subscriptions.

Because point S is not at this intersection, nor is it on either of these lines, it is not possible to pay that price for that amount of books with either subscription.

Stels [109]3 years ago

6 0

I think it can be B or D

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In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in

Agata [3.3K]

$\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \sin B=\frac{b \sin A}{a} \\ \\ \sin B=\frac{13 \sin 29^{\circ}}{7.2} \\ \\ \boxed{m\angle B =\arcsin \left(\frac{65\sin 29^{\circ}{36} \right), 180^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}$

Considering the diagram. $\angle B$ is shown to be acute, so $\boxed{m\angle B=\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}$ .

Angles in a triangle add to 180°, so $m\angle C= 151^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)$ .

Using the law of cosines,

$AB=\sqrt{13^2 + 7.2^2-2(13)(7.2)\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)} \\ \\ \boxed{AB=\sqrt{220.84-187.2\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)}}$