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3 years ago

How much of the $5200 charge that francisco made during the first month has been paid off?

Mathematics

1 answer:

Vikentia [17]3 years ago

6 0

It was 13 of 15 percent

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Calculate the length of AB using Sine rule

vovikov84 [41]

Answer:

Approximately $22.2\; \rm m$ .

Step-by-step explanation:

By sine rule, the length of each side of a triangle is proportional to the sine value of the angle opposite to that side. For example, in this triangle $\triangle ABC$ , angle $\angle A$ is opposite to side $BC$ , while $\angle C$ is opposite to side $AB$ . By sine rule, $\displaystyle \frac{BC}{\sin{\angle A}} = \frac{AB}{\sin \angle C}$ .

It is already given that $BC = 22.4\; \rm m$ and $\angle A = 58^\circ$ . The catch is that the value of $\angle C$ needs to be calculated from $\angle A$ and $\angle B$ .

The sum of the three internal angles of a triangle is $180^\circ$ . In $\triangle ABC$ , that means $\angle A + \angle B + \angle C = 180^\circ$ . Hence,

$\begin{aligned}\angle C &= 180^\circ - \angle A - \angle B \\ &= 180^\circ - 58^\circ - 65^\circ \\ &= 57^\circ\end{aligned}$ .

Apply the sine rule:

$\begin{aligned} & \frac{BC}{\sin{\angle A}} = \frac{AB}{\sin \angle C} \\ \implies & AB = \frac{BC}{\sin{\angle A}} \cdot \sin \angle C \end{aligned}$ .

$\begin{aligned}AB &= \frac{BC}{\sin{\angle A}} \cdot \sin \angle C \\ &= \frac{22.4\; \rm m}{\sin 58^\circ} \times \sin 57^\circ \\ &\approx 22.2\; \rm m\end{aligned}$ .

5 0

3 years ago

When working with scientific data the average of a data set is called?

polet [3.4K]

<h2>Answer:</h2>

When working with scientific data the average of a data set is called:

Mean of the data.

<h2>Step-by-step explanation:</h2>

We know that in a given set of data the mean is calculated by finding the ratio of the sum of all the data points of the set to the total number of data points which is also known as the average of the data points.

Hence, the average of a data set is called :

Mean of data set

4 0

3 years ago

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Hellllpppppppppppppppp

Mademuasel [1]

Answer:

Function A

Step-by-step explanation:

3 0

3 years ago