Answer:
(a) 495, (b) 210
Step-by-step explanation:
Total number of persons = 12
number of openings = 8
number of women = 7
number of men = 12 - 7 = 5
(a) Number of ways to select the 8 persons

(b) Three are men
So, 3 men and 5 women
The number of ways are

Let x be the side of your square. Use Pythagoras to find the side in the right triangle formed with 2 sides and the diagonals:
x² + x² = 34²
2x² = 34² = 1126
x² = 1126/2 = 578
and x =√578 = 17√2 ≈ 24 ft
H will need 24 x 4 = 96 ft
Answer:
23 units²
Step-by-step explanation:
height = 2
length = 4
width = 2.5
Formula = 2(wl + lh + hw) ⇒ 2 [(2.5 × 4) + (4 × 2) + (2 ×2.5)] = 23 units²
Hope this helps.
#FORTHEPUPPIES
Answer:
7 is 35°
Step-by-step explanation:
The measure of an exterior angle is equal to the sum of opposite interior angles.
So 4x - 80 = x + x - 10
4x - 2x = 80 - 10
2x = 70 , x = 35°
Hence 7 is 35°
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 