Answer: 1296 cm³
Step-by-step explanation:
Since, the volume of a square pyramid is,

Where a = side of the square base,
h = height of the pyramid,
By the given diagram,
a = 18 cm,
h = 12 cm,
Hence, the volume of the given pyramid,



cube cm.
⇒ First option is correct.
9514 1404 393
Answer:
A. √13
Step-by-step explanation:
You can make an educated guess and come to the right conclusion.
The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.
So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:
__
A -- between 3 and 4, the correct choice
B -- 3, too short
C -- 1.73, too short
D -- more than 4, too long
__
The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.
c = √(a^2 +b^2 -2ab·cos(C))
c = √(3^2 +4^2 -2·3·4·(1/2)) = √(9 +16 -12)
c = √13 . . . . . length of the side opposite the 60° angle
Answer:
A ≈ 35.3 units²
Step-by-step explanation:
Calculate the radius CB using Pythagoras' identity in the right triangle.
CB² + AB² = AC²
CB² + 6² = 9²
CB² + 36 = 81 ( subtract 36 from both sides )
CB² = 45 = r²
Then area of quarter circle is
A =
× πr² =
× π × 45 ≈ 35.3
Answer:


0.60 > 0.50
Step-by-step explanation:
Given


Required
Represent using decimal number and compare
From the question, we understand that there are 100th grids;
So:




Comparing both decimals;
Since 0.60 is greater than 0.50, we have:
0.60 > 0.50