Answer:
The volume of the given figure is 150 mm³
Step-by-step explanation:
The formula of the volume of the triangular pyramid is V =
AH, where
- A is the area of its base
The formula of the area of a triangle is A =
bh, where
- b is the length of its base
- h is the length of its height
In the given figure
∵ The pyramid has a triangular base
∵ The triangle has a base of 12 mm and a height of 7.5 mm
∴ b = 12 mm and h = 7.5 mm
→ By using the 2nd formula above, find the area of the base
∴ A =
(12)(7.5)
∴ A = 45 mm²
∵ The height of the pyramid is 10 mm
∴ H = 10 mm
∵ A = 45 mm²
→ Substitute them in the first formula above to find the volume
∴ V =
(45)(10)
∴ V = 150 mm³
∴ The volume of the given figure is 150 mm³
The dimensions for the pool would be (y+2)(4y-5)
Answer:
d⁴y/dx⁴ = -12/x⁴
Step-by-step explanation:
y = 2In x
We want to find d⁴y/dx⁴. This is the fourth derivative.
Using product rule, first derivative is;
dy/dx = 2/x
Answer:
The total cost of her lunch is $14.65
Step-by-step explanation:
15% of $12.74 is $1.91
12.74+1.91=14.65
<span>In order to find the median weight we must arrange the given values in an ascending order and take the middle one. Doing so lets us see that the dog's median weight was 4.8 kg.</span>