Answer: 96 cm^3
To answer this, start by finding the volume of the square prism. The formula is L x W x H, therefore the volume is 3 x 3 x 10 = 90.
Then, find the volume of the pyramid on the top. Use the same formula but divide it by 3 because it is a pyramid. 3 x 3 x 2 / 3 = 6
Add 90 and 6 to get 96.
Answer:
∠GJK is 22°
Step-by-step explanation:
Because the shape is a rectangle we know that GH is parallel to JI
This means that because of the alternate angle rule we know that
5x+8 = 7x-16
Then we solve for x
5x+8-5x = 7x-16-5x
8+16=2x-16+16
=
x=16
So this means that ∠HJI is 68°
Because the shape is a rectangle we know that ∠GJI is a right angle
This means that ∠GJK is 90-∠HJI because of the angles on a right angle rule
90-68 =22
∴∠GJK is 22°
Remember
i²=-1 so
i³=-i
i⁴=1
so
5i⁴+2i³+8i²-4
5(1)+2(-i)+8(-1)-4
5-2i-8-4
-7-2i is the form
Answer:
Step-by-step explanation:
Given
There are 10 men and 5 women in a conference room
total People=15
(a)Probability that the committee consists of 2 men and 2 women
we have to select from 10 men and 5 women

(b)Bob and Jane end up on the same committee
as bob and Jane are necessary to include so there are 4 women and 9 men left to select remaining 2 person

(c)Bob is in the committee but Jane is not
9 men and 4 women left to choose other 3 person
