Answer:
Discount price= $14.4
Step-by-step explanation:
Giving the following information:
Original selling price= $18
Discount rate= 20% = 0.2
<u>To calculate the discount price, we need to use the following formula:</u>
Discount price= selling price * (1 - discount rate)
Discount price= 18 * (1 - 0.2)
Discount price= $14.4
Answer:
Second Option: ![\frac{7}{8} =7\div8](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D%20%3D7%5Cdiv8)
Step-by-step explanation:
A fraction means to divide.
![1\div2=\frac{1}{2}](https://tex.z-dn.net/?f=1%5Cdiv2%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore,
![\frac{7}{8} =7\div8](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D%20%3D7%5Cdiv8)
<h2>
Answer:</h2>
First, we need to use <u><em>slope formula*</em></u> to find the slope.
![m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-2%20-%206%7D%7B3%20-%20%28-1%29%7D%20%3D%20%5Cfrac%7B-8%7D%7B4%7D%20%3D%20-2)
Second, we use the slope we found and <em>ONE</em> of the 2 points listed and plug it into <u><em>slope-intercept form**</em></u> to solve for <u><em>b</em></u>.
Here is what we have so far:
I'm going to use this point:
Here is how to find <em>b</em>:
![-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b](https://tex.z-dn.net/?f=-2%20%3D%20-2%283%29%20%2B%20b%5C%5C%5C%5C-2%20%3D%20-6%20%2B%20b%5C%5C%5C%5C4%20%3D%20b)
Finally, we put all of it together and we have our equation.
![y = -2x + b](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%20b)
*Slope formula: <em>m = y₂ - y₁/x₂ - x₁</em>
**Slope-intercept form: <em>y = mx + b</em>
<em></em>
Answer:
The lateral area of the figure = 480 m²
The surface area = 720 m²
Step-by-step explanation:
By definition, we have;
The lateral area is the area of the vertically facing sides of or the area of the triangular faces of a pyramid
The surface area is the area of the entire surface = Lateral area + The other surface areas of the object
For a pyramid, the surface area = Lateral area + Area of base
The figure in the question is a pentagon based pyramid with five triangles on the sides
The lateral area of the figure = 5 × area of the 5 triangles = 5 × Base × Height
The lateral area of the figure = 5 × 12 × 8 = 480 m²
The lateral area of the figure = 480 m²
The surface area = Area of the base + Lateral surface area
Area of the regular pentagon base = 1/2 × Perimeter of the pentagon × Apothem
Perimeter of the pentagon = 5 × 12 = 60 m
Apothem = Perpendicular distance from the pentagon's side to the center = 8.3 m
∴ Area of the regular pentagon base = 1/2 × 60 × 8 = 240 m²
∴ The surface area = 240 +480 =720 m²
The surface area = 720 m²
Answer: Gas
Explanation: Gas is a colorful comment in the galaxy that is found between stars.
Hope that helped! Happy holidays.