Please see pic below

Mathematics

1 answer:

Ulleksa [173]4 years ago

4 0

Answer:

Y ≥9

Step-by-step explanation:

The original range is y ≥0 but since we add 9 it becomes y≥9

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Convert these decimals into fractions 0.49 and 4.542

Anuta_ua [19.1K]

Answer:

0.49 = $\frac{49}{100}$

4.542 = 4 $\frac{542}{1,000}$

Step-by-step explanation:

0.49 is equivalent to 49/100 because 0.49 represents the hundredth place.

4.542 is equivalent to 4 542/1,000 because .542 is representing the thousandths place, and the 4 is a whole number.

Hope this helps!

3 0

3 years ago

Point B lies between points A and C on AC. Let x

pashok25 [27]

Answer:

see below

Step-by-step explanation:

Since AB + BC = AC, x + 3x = 20 → 4x = 20 → x = 5.

AB = x = 5 and BC = 3x = 3 * 5 = 15.

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3 years ago

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,

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