Answer: D) V= 1/6 bh
Step-by-step explanation:
Since according to the given question, A pyramid is placed inside a prism.
And, The pyramid has the same base area, b, as the prism but half the height, h, of the prism.
Therefore, base area of the pyramid = b
Height of the pyramid = h/2
Since, The volume of the pyramid,
V = 1/3 × base ares × height
V= 1/3 × b × h/2
V= 1/6 bh
Thus the required volume = 1/6 bh cube unit.
Therefore Option D is correct.
Answer:
Darlene bought more fabric
Darlene bought 3.4 yards more
Step-by-step explanation:
Darlene = 7 yards + 20% extra
= 7 yards + (20% of 7 yards)
= 7 + (20% × 7)
= 7 + (0.2 × 7)
= 7 + 1.4
= 8.4 yards
Chris = 4 yards + 25% of 4 yards
= 4 yards + (25% of 4 yards)
= 4 + (25% × 4)
= 4 + (0.25 × 4)
= 4 + 1
= 5 yards
Darlene bought more fabric
How much more?
Darlene - Chris
= 8.4 yards - 5 yards
= 3.4 yards
Darlene bought 3.4 yards more
Answer:
The player throws 127.3 ft from second base to home plate.
Step-by-step explanation:
Given:
Distance from home to first base = 90 ft
Distance from first base to second base = 90 ft
We need to find the distance from second base to home.
Solution:
Now we can assume the complete scenario to be formed as a right angled triangle with two sides given and to find the third side.
Now by using Pythagoras theorem which states that;
Square of the hypotenuse side is equal to sum of squares of other two sides.
framing in equation form we get;
distance from second base to home = 
Rounding to nearest tent we get;
distance from second base to home = 127.3 ft
Hence The player throws 127.3 ft from second base to home plate.