Answer:
Step-by-step explanation:
∵ The volume of the pyramid = 1/3 base area × height
∵ The base is equilateral Δ with side length 4
∴ The area of the bast = 1/4 × 4² × √3 = 4√3 units²
To get the height of the pyramid draw it from the vertex of the top of the pyramid ⊥ to the base on the centro-id of the base which divides the height of the triangle two ratio 2:1 from the vertex of the triangle
∵ The height of the base = √(4² - 2²) =√12 = 2√3
∴ 2/3 the height = 4√3/3 ⇒ (2:1 means 2/3 from the height)
∴ The height of the pyramid = √[4² - (4√3/3)²] = √[16 - 48/9]
∴ h = 4√2/√3 (4√6/3 in its simplest form)
∴ V = 1/3 × 4√3 × 4√2/√3 = 16√2/3 units³
∴ 
Option B is correct.
Step-by-step explanation:
A triangle has vertices A(-3,-1), B(-6,-5), C(-1,-4). We need to find the transformation that will produce the triangle with vertices: A(3,-1), B(6,-5), C(1,-4)
Seeing the vertices of transformed triangle, we observe that the x-coordinate of vertices has been opposite of that in the original vertices, while y-coordinate remains same.
This shows it is reflection over y-axis. In which x-coordinate becomes the negative (opposite) of original coordinate while y-coordinate remains the same.
So, Option B is correct.
Keywords: Transformation of Triangles
Learn more about Transformation of Triangles at:
#learnwithBrainly
The slope-intercept form of a line:
m - slope
b - y-intercept
Convert 2x + 3y = -6 to the slope-intercet form:
<em>subtract 2x from both sides</em>
<em>divide both sides by 3</em>
Let 
and 
We have 
Therefore
We have the equation of a line:
Put the coordinates of the point (0, 0) to the equation:
Answer: 
Answer:
c is the correct answer mate
Step-by-step explanation:
have a greate day bye
Answer: 800 miles
Step-by-step explanation:
Let the actual distance between City C and City D be represented by x.
The information given in the question can be formed into an equation as:
1.8 feet / 2.88 feet = 500 miles / x
Cross multiply
1.8 × x = 500 × 2.88
1.8x = 1440
x = 1440/1.8
x = 800
Therefore, the actual distance between City C and City D is 800 miles.
