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
Answer:
the line that goes up and down is the y top is positive
the one that goes left to right is the X and if the Y line goes below the x is negative.
Answer:
meeeeeee
2+2+ fish
Step-by-step explanation:
Answer: B) (-x, y)
<u>Step-by-step explanation:</u>
If a coordinate is reflected across the y-axis, the y-coordinate stays the same but the x-coordinate changes signs.
Consider (1, 2) as the original point. Now reflect it across the y-axis. The new coordinate is (-1, 2). The y-coordinate stayed the same (2) but the x-coordinate changed signs (1 → -1).
Answer:
11.42 boxes
Step-by-step explanation:
For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.
After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:
For the next unique toy, there is now a 3 in 5 chance of getting it:
Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:
Finally, there is a 1 in 5 chance to get the last unique toy:
The expected number of boxes to obtain a full set is:
