Answer:
212 more student voted musical than drama .
Step-by-step explanation:
As given
In choosing this year 327 voted musical and 115 voted drama.
More students voted musical than drama = Total students voted for musical - Students voted for drama .
Putting values in the above
More students voted musical than drama = 327- 115
= 212
Therefore 212 more student voted musical than drama .
Answer:
2√46 + 25π/4 ≈ 33.2 . . . . m²
Step-by-step explanation:
The altitude of the triangle is given by the Pythagorean theorem. The right triangle of interest is the one that has 5√2 as its hypotenuse, and a leg of half the base shown. Then the other leg, the altitude of the triangle, is ...
h = √((5√2)² - 2²) = √46
Then the area of the triangle shown is ...
A = (1/2)bh = (1/2)(4)(√46)
A = 2√46
__
The area of the semicircle is given by the formula ...
A = (1/2)πr²
Filling in the radius shown, the area is computed as ...
A = (1/2)π(5√2/2)² = 25π/4
So, the total area of the figure is ...
total area = triangle area + semicircle area
= 2√46 + 25π/4 . . . square meters
≈ 33.2 . . . square meters
Answer:
3
Step-by-step explanation:
Answer:

Step-by-step explanation:
To find the volume of the sphere we need to know its radius.
And the radius can be found with the information we have about the surface area.
The formula for the surface area is as follows:

from this formula we clear the radius r:

and we substitute the known value of the surface area, and also the value of
:

and now that we know the radius we find the volume:

the volume of the sphere is 
Answer:
9
Step-by-step explanation:
The factors of 9 are: 1, 3, 9
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 9.