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3 years ago

If tan0 = 3/4, find sin0

Mathematics

2 answers:

labwork [276]3 years ago

5 0

Answer:

Step-by-step explanation:

olya-2409 [2.1K]3 years ago

4 0

Answer:

$\text{b. }\sin \theta =\frac{3}{5}$

Step-by-step explanation:

In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. If $\tan \theta =\frac{3}{4}$ as given in the problem, then the opposite side of angle theta is 3 and its adjacent side is 4. Thus, the hypotenuse of the triangle must be $h=\sqrt{4^2+3^2}=\sqrt{25}=5$ .

The sine of an angle in a right triangle is equal to its opposite side divided by its hypotenuse. Therefore, $\sin \theta =\frac{3}{5}$ (o/h).

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Select the correct answer.

ivolga24 [154]

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3 0

2 years ago

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Miguel e nádia trabalham num escritório de contabilidade. A cada 45 minutos miguel vai á sala de café para relaxar um pouco, enq

Kazeer [188]

Responder:

3 horas

Explicação passo a passo:

Dado :

Miguel a cada 45 minutos

Nádia a cada 60 minutos

Número de horas que eles vão se ver no mesmo lugar:

Para fazer isso ;

Obtenha o menor múltiplo comum de 60 e 45

Múltiplos de:

45: 45, 90, 135, 180, 225.

60: 60, 120, 180, 240, 300.

O menor múltiplo comum de 45 e 60 é 180

° Assim, eles se verão no mesmo lugar após 180 minutos;

Número de horas = 180/60 = 3 horas

6 0

3 years ago

The sales tax on the model rocket shown is $1.92. What is the percent of sales tax? A drawing of a model rocket with a tag label

astraxan [27]

Answer:

The sales tax is 8%

Explanation:

We are given that:

The price of the rocket is $24 and the sales tax is $1.92

To get the percentage of the sales tax, all we have to do is divide the sales tax by the price of the rocket and then multiply the quotient by 100 (to convert the ratio to percentage)

This is done as follows:

% of sales tax = $\frac{tax}{price}*100$