Answer:
The volume of the regular tetrahedron is 283.5 m³
Step-by-step explanation:
The formula of the volume of the regular tetrahedron is V = A h, where
∵ The area of the base of a regular tetrahedron is 98.9 m²
∴ A = 98.9 m²
∵ The height of it is 8.6 m
∴ h = 8.6 m
→ Substitute them in the formula of the volume above
∵ V = (98.9)(8.6)
∴ V = 283.5133333 m³
→ Round it to the nearest tenth of a cubic meters
∴ V = 283.5 m³
∴ The volume of the regular tetrahedron is 283.5 m³
From the top of my head it is 322
Answer:
28.4in³
Step-by-step explanation:
Volume of the square based pyramid = L²H/3 where;
L is the length of a side of the square base
H is the height of the prism
Given
Perimeter of the base = 13.4 in
Height of the pyramid = 7.6in
First we need to get the length of the square base
Perimeter of a square = 4L
13.4 = 4L
L = 13.4/4
L = 3.35 in
Next is to find the required volume of the pyramid
V = L²H/3
V = 3.35²(7.6)/3
V = 85.291/3
V = 28.4 in³
Hence the volume of the pyramid to nearest tenth is 28.4in³
Answer:
Multiply row 1 by .
Step-by-step explanation:
The augmented matrix of the system of linear equation is described below:
Where , if we need to create , we need to multiply row 1 by , that is to say:
Hence, the correct answer is: Multiply row 1 by .
First find the slope/rate of change of the table. Find the difference between the intervals of the x and y values of the table. Each time the x value decreases by 2 the y value decreases by 4. To find the rate of change divide the -4 by -2 to get 2 as the slope.
Set up an equation using values from the table to figure out the y intercept or b value.
-6=-4(2)+b
-6=-8+b. Add 8 from both sides
both sides to get b
2=b
The y intercept is (0,2)
The equation of the line is Y=2x+2
Plug in 0 for y into the lines equation to get the x intercept
0=2x+2
-2=2x. Divide by 2 to isolate x
-1=x
The x intercept is (-1,0)