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3 years ago

Why can you multiply or divide both terms of a ratio by the same number without changing the value of the ratio

1 answer:

6 0

The ratio is rational and by multiplying or dividing the numbers included in the ratio by the same number, it's just like taking a fraction and taking it out of simplest form, it doesn't change the value of the ratio or the fraction in simplest form, it just changes the numbers

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Solve AABC. Round your answers to the nearest hundredth, if necessary

Aloiza [94]

Answer:

$C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83$

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be $180-90-65=25^{\circ}$ .

In any triangle, the Law of Sines is given by $\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$ .

Therefore, we have:

$\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}$

$\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}$

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3 years ago

Type the missing numbers

Alexxandr [17]

Answer:

-5, -2, and 0

Step-by-step explanation:

7 0

2 years ago

At first public inquiry showed there were 637000 women motorcyclists in the US up from 437000 just 8 years ago before it. Find t

dimaraw [331]

I would say to do 637000-437000, which is 200000, and then do 200000/637000. You get 0.314, and the percentage of that in hundreds is 31%.

6 0

3 years ago

Explain how System 1 becomes equivalent to System 2.

Nostrana [21]

Answer:

$\left\{\begin{array}{ccc}(A+L)x+(B+M)y=C+N\\Ax+By=C\end{array}\right$

<h3>A.The first equation in System 2 is the sum of the equations in System 1. The second equation in System 2 is the first equation in System 1.</h3>

Step-by-step explanation:

$\underline{+\left\{\begin{array}{ccc}Ax+By=C\\Lx+My=N\end{array}\right}\qquad\text{add both sides of the equations}\\(Ax+Lx)+(By+My)=C+N\qquad\text{distributive}\\(A+L)x+(B+M)y=C+N$

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3 years ago

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Distance between (9,6) and (6,10)

nataly862011 [7]

Answer: 5

Step-by-step explanation:

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3 years ago

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