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2 years ago

Can the law of sines be used to solve the triangle

Mathematics

1 answer:

ivanzaharov [21]2 years ago

8 0

Answer:

Step-by-step explanation:

No, the law of sines cannot be used to solve the triangle. The triangle shows the measures of two sides and an included angle. To use the law of sines, you need to know the measure of an angle and its opposite side.

Answer On Edg. 2020

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a company is offering a job with a salary of $30,000 for the first year and a 5% raise each year after that. if the 5% raise con

Ber [7]

<span>First year is 30,000.
</span><span>Earn 5% raise every year.
</span>Growth factor is 1.05 this sounds a lot like a geometric ratio.

An = A1 × r^(n-1)Sn = A1 × (1 - r^n) / (1-r)<span>n = 40
A1 = 30,000
A40 = $30,000 * 1.05^39 = $201,142.53

S40 = A1 * (1 - 1.05^40) / (1-1.05) which becomes:
S40 = 30,000 * -6.039988712 / -.05 which becomes:
</span>S40 = -181,199.6614 / -.05 which becomes:
S40 = $3,623,993.227

<span>The individual yearly calculations are shown below: </span>

8 0

3 years ago

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.<br> r = 9 sin 7θ

boyakko [2]

Answer:

The given function symmetric about the y-axis.

Step-by-step explanation:

The given function is

$r=9\sin 7\theta$ .... (1)

1. Symmetry about the x-axis: If the point (r, θ ) lies on the graph, then the point (r,-θ ) or (-r, π - θ ) also lies on the graph.

2. Symmetry about the y-axis: If the point (r, θ ) lies on the graph, then the point (r,π - θ ) or (-r, -θ ) also lies on the graph.

3. Symmetry about the origin: If the point (r, θ ) lies on the graph, then the point (-r, θ ) or (r, π + θ ) also lies on the graph.

Put (r, -θ ) in the given function.

$r=9\sin 7(-\theta)=-9\sin 7\theta=-r\neq r$

Therefore it is not symmetric about x-axis.

Put (-r, -θ ) in the given function.

$-r=9\sin 7(-\theta)=-9\sin 7\theta=-r$

Therefore it is symmetric about y-axis.

Put (-r,θ ) in the given function.

$-r=9\sin 7(\theta)=r\neq -r$

Therefore it is not symmetric about the origin.

3 0

2 years ago

Please help, need an answer ASAP!

Shtirlitz [24]

Answer:

6, -7

Step-by-step explanation:

when I followed those instructions, that's what i got.

6 0

2 years ago

The radius of a semicircle is 3 kilometres. What is the semicircle's perimeter?

alina1380 [7]

Answer:

In terms of Pi: $3\pi + 6$ km

Exact value (rounded): 15.42477 km

Approximated (3.14): 15.42 km

Step-by-step explanation:

Hello!

A semicircle's perimeter can be found using the formula: $P = \pi r + 2r$

We can plug in the values to solve for the perimeter.

<h3>Solve</h3>

$P = \pi r + 2r$
$P = \pi(3)+ 2(3)$
$P = 3\pi + 6$

In terms of Pi, it is $3\pi + 6$ ,

Exact value of Pi, it is 15.42477

Approximation of Pi (3.14), it is = 15.42

6 0

1 year ago

Enter an equation in point-slope form for the line. (6,8) and (7,1) is on the line. The equation of the line in point slope form

Yuri [45]

Answer:

$y - 8 = -7(x - 6)$ or $y - 1 = -7(x - 7)$

Step-by-step explanation:

The point-slope form equation is $y - b = m(x - a)$ , where,

(a, b) = a point on the line.

$m = slope = \frac{y_2 - y_1}{x_2 - x_1}$

Given the two points, (6, 8) and (7, 1), find the slope of the line:

$m = \frac{1 - 8}{7 - 6}$

$m = \frac{-7}{1}$

$m = -7$

There are two possible point-slope equation we can come up with using each points on the line given.

Using the point (6, 8) and m = -7,

Substitute m = -7, a = 6, and b = 8 into $y - b = m(x - a)$

$y - 8 = -7(x - 6)$

Using the point (7, 1) and m = -7,

Substitute m = -7, a = 7, and b = 1 into $y - b = m(x - a)$

$y - 1 = -7(x - 7)$

7 0

2 years ago