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3 years ago

Joyce paid 180$ for an item at the store that was 20 percent of the original price. What was the original price

Mathematics

2 answers:

Natasha_Volkova [10]3 years ago

7 0

Answer:

$900

Step-by-step explanation:

Drupady [299]3 years ago

4 0

Answer:

$225.00

Step-by-step explanation:

L is the original price

L=180/1-20/100

L=180/1-0.20

L=180/0.80

L=$225

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Triangle ΔABC has side lengths of a = 18, <img src="https://tex.z-dn.net/?f=b%3D18%5Csqrt%7B3%7D" id="TexFormula1" title="b=18\s

ozzi

The measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.

<h3 /><h3>What is the law of cosine?</h3>

When the three sides of a triangle is known, then to find any angle, the law of cosine is used.

It can be given as,

$\angle A=\cos^{-1}\left(\dfrac{b^2+c^2-a^2}{2bc}\right) \\\angle B=\cos^{-1}\left(\dfrac{a^2+c^2-b^2}{2ac}\right) \\\angle C=\cos^{-1}\left(\dfrac{a^2+b^2-c^2}{2ab}\right)$

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

Triangle ΔABC has side lengths of a = 18, b=18√3 and c = 36 inches.

Part A: Determine the measure of angle A

Put the value, in the cosine law, the measure of angle A.

$\angle A=\cos^{-1}\left(\dfrac{b^2+c^2-a^2}{2bc}\right) \\\angle A=\cos^{-1}\left(\dfrac{(18\sqrt{3})^2+36^2-18^2}{2(18\sqrt{3})(36)}\right) \\\angle A=0.5236\rm\; rad\\\angle A=30^o\rm\; degree\\$

Part B: Show how to use the unit circle to find tan A

Using the chart of unit circle, the value of tangent A can be found out. The tangent A is,

$\tan A=\tan 30^o\\\tan A=\dfrac{1}{\sqrt{3}}$

Part C: Calculate the area of ΔABC.

Use the following formula to find area of ΔABC.,

$A=\dfrac{ab.\sin C}{2}\\A=\dfrac{18\times18\sqrt{3}.\sin C}{2}\\A=280.6\rm\; in^2$

Thus, the measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.

Learn more about the law of cosine here;

brainly.com/question/4372174

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1 year ago

In 1992, the population of Seoul. South Korea was 17,334,000. In 1995, the population of Seoul was 19,065,000. Find the average

gizmo_the_mogwai [7]

577,000, there is an average change of 577,000 people per year.

To find the average rate of change of the population of people per year, we first need to find the population change per any amount of time, and then divide by how much time that is (in this case, three years). We can find the population change by <u>subtracting </u>the values 17,334,000 and 19,065,000. Subtracting them, we get a change of 1,731,000 in three years. Now, to find the average rate of change of the population in people per year, we divide by three, which gives us our answer of 577,000 people, on average, per year.

3 0

2 years ago

A student draws the net below to show the dimensions of the container that is shaped like a right rectangular prism. What is the

ZanzabumX [31]

Answer:

The correct option is;

D) 62 in²

Step-by-step explanation:

Here we have from the drawing, the dimensions of the right rectangular prism are;

Height = 2 in.

Width = 5 in

Length = 3 in

Therefore the surface area is found as follows;

Surface area of right rectangular prism = 2 × Height × Width + 2 × Height × Length + 2 × Width × Length

Surface area of right rectangular prism = 2 × 2 × 5 + 2 × 2× 3+ 2 × 5× 3 = 20 + 12 + 30 = 62 in².

5 0

3 years ago

A share of stock in the bree medical supply company is quoted at 35 1/4,suppose you hold 20 shares of that stock which you bough

kodGreya [7K]

Hi there, we know the total number of stocks bough is 20, the rate was 31 1/2=63/2, 20*63/2=10*63=630 dollars, the rate they were sold is 35 1/4=141/4 dollars, 5*141=705 dollars, the amount of profit is 20 stocks. So, 705-630=75 dollars. So, the answer is C. You made a profit of $75.00

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3 years ago

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Given that 3 x : 10 = 5 : 2 Calculate the value of x .

borishaifa [10]

$\tt{ 3x:10=5:2 }$ ⠀