Answer:
392 ft²
Step-by-step explanation:
Break this area into two parts, that is, into two trapezoids. The first trapezoid, on the left, has length 8 ft and average length (30 ft + 27 ft)/2, so its area is (8 ft)(28.5 ft) = 228 ft ².
The second trapezoid has width 8 ft and average length (19 + 22)/2 ft, or 8 ft by 20.5 ft). The area of this part is 164 ft².
Thus, the total area is 164 ft² + 228 ft², or 392 ft²
Height of a cone-shaped attic:
h = 18 ft,
d = 18 ft,
r = 18: 2 = 9 ft
V = r² π h / 3 =
= 9² π · 18 / 3 = 81 π · 6 = 486 π ft³
Answer:
The volume of the space in the attic is 486 π ft³.
Answer:
-24n + 42
Step-by-step explanation:
(7 - 4n) · 6
Apply distribute property.
7 · 6 - 4n · 6
42 - 24n
Answer:
a) 2450
b) 1890
c) 1050
Step-by-step explanation:
Given:
- Available Group = 9 M & 7 F
- Committee of= 4 M and 4 W to be formed
Find:
- (a) 2 of the men refuse to serve together?
- (a) 2 of the women refuse to serve together?
- (a) 1 man and 1 woman refuse to serve together?
Solution:
- The question pertains to a selection process, We will use combinations for each case as follows.
part a)
- Since 2 men cant be selected together. Then we have to discount for one man while selecting Man for the committee. Hence, the combinations are:
8C4 x 7C4 = 2450
part b)
- Since 2 women cant be selected together. Then we have to discount for one woman while selecting them for the committee. Hence, the combinations are:
9C4 x 6C4 = 1890
part b)
- Since 1 women and a man cant be selected together. Then we have to discount for one woman and one man while selecting them for the committee. Hence, the combinations are:
8C4 x 6C4 = 1050
1.corresponding
2.alternate exterior
3.alternate interior
4.vertical angles
5.supplementary
