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2 years ago

Applying the Laws of Sines and Cosines

Mathematics

1 answer:

Naddika [18.5K]2 years ago

4 0

Essentially, you would take the formula for the laws of sines and cosines: a^2=b^2+c^2-2bc(Cos(theta)). a is the unknown side you are solving for and theta is the opposite angle to a. Since the angle opposite to R is supplementary to the 50 degree angle, 180-50=130. b could be assigned to either of the given sides; the same goes for c (e.g. b=40 and c=38). Thus, the question should be straightforward in plugging in quantities and solving for the resultant force.

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Which graph best represents the download speed of a large file

stellarik [79]

Answer:

This question is incomplete

Step-by-step explanation:

This question is incomplete. However, there are mainly four types of graphical representations in mathematics; line graph, bar graph (and histogram), pie chart and cartesian graph. The most suitable representation for fluctuating data sets of the same variables on each of the y and x-axis is the line graph. Since download speed will fluctuate during the course of a download, the correct type of graph to be used here will be the line graph. And the exact type of line graph that will be used here is a simple line graph. A simple line graph is a type of line graph in which one line is drawn on the graph. A simple line graph is usually used to represent two variables (in this case data downloaded per time).

5 0

2 years ago

Find the reference angle for 697 degrees

ella [17]

The answer is c. 23 degrees. 697-360 is 337. 360-337 is 23.

4 0

3 years ago

Sheri's brother gave Sam his collection of stamps when she left for college. At that

pychu [463]

Answer: $70 per year.

Step-by-step explanation:

Let's say that x is the number of years that has passed and y is how much the stamp is worth.

So we know that in zero years the stamp was worth $420 because that is the time Sheri gave her brother Sam the stamp. That could bring up the coordinates (0,420) .

Now we know that in 8 years it was worth $980 and that could be the coordinates (8,980)

To find the rate of change we need to find the different between the y value and divide it by the difference in the x values.

420 - 980 = -560

0-8 = -8

-560/-8 = 70

The rate of change is 70 which means that it grew by $70 every year.

6 0

3 years ago

Refer to the rectangle below. The length of the rectangle is x + 12. The width of the rectangle is x + 3.

Elis [28]

Answer:

$x^2+15x+36$

Step-by-step explanation:

The complete question is shown in the attachment.

The length of the rectangle is x + 12. The width of the rectangle is x + 3.

Recall that area of a rectangle is $Length \times Width$

In terms of x, the area is $(x+12)(x+3)$

Recall the distributive property of real numbers: $(a+b)(c+d)=a(c+d)+b(c+d)$

We apply this property to get:

$(x+12)(x+3)=x(x+3)+12(x+3)$

We expand again to get:

$(x+12)(x+3)=x^2+3x+12x+36$

We now simplify to obtain:

$(x+12)(x+3)=x^2+15x+36$

The area of the rectangle is $x^2+15x+36$

4 0

2 years ago

I have 3 different ones now. I apologize for the relentless questions.

Minchanka [31]

Answer:

$\frac{1}{4x}$

Step-by-step explanation:

The negative exponential can be represented with the help of fractions. By this way, we also make the negative exponential disappear. For example, we can write:

$a^{-1} = \frac{1}{a}$

The explanation is this:

Since $a^{0}=1, \frac{1}{a}=\frac{a^{0} }{a^{1} } = a^{0-1} =a^{-1}$

According to this definition, we can simplify our problem in the following way:

$(4x)^{-1} = \frac{1}{(4x)^{1} } = \frac{1}{4x}$

5 0

2 years ago