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inn [45]
3 years ago
11

Let a, b, and c be constants, and let x be a variable. Which of the following is

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Answer:

C

Step-by-step explanation:

We have:

a(x+b)

Where a<0.

We would like to solve for a. So, let’s divide both sides by a.

Notice that a<0. Therefore, a is negative. Hence, we must flip the sign since we are dividing by a negative. This yields:

x+b>\frac{c}{a}

Now, we will subtract b from both sides. Therefore, our inequality is:

x>\frac{c}{a}-b

Hence, our answer is C.

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Answer:

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Step-by-step explanation:

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  V = s³

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En un triángulo rectángulo A es un ángulo agudo y Sen A = 4/5 ¿Cuál será el valor de Tan A?
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Answer:

\displaystyle \tan A=\frac{4}{3}

Step-by-step explanation:

<u>Funciones Trigonométricas</u>

La identidad principal en trigonometría es:

sen^2A+cos^2A=1

Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.

Dado que Sen A = 4/5, calculamos el coseno:

cos^2A=1-sen^2A

Sustituyendo:

\displaystyle cos^2A=1-\left(\frac{4}{5}\right)^2

\displaystyle cos^2A=1-\frac{16}{25}

\displaystyle cos^2A=\frac{25-16}{25}

\displaystyle cos^2A=\frac{9}{25}

Tomando raíz cuadrada:

\displaystyle cos\ A=\sqrt{\frac{9}{25}}=\frac{3}{5}

La tangente se define como:

\displaystyle \tan A=\frac{sen\ A}{cos\ A}

Substituyendo:

\displaystyle \tan A=\frac{\frac{4}{5}}{\frac{3}{5}}

\displaystyle \tan A=\frac{4}{3}

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Answer:

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Step-by-step explanation:

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There are 30 students in a class, including 16 boys. The ratio of girls to boys would be 7 over 8.
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Step-by-step explanation:

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