Answer:
PS=
Step-by-step explanation:
Given : PQRS is a trapezoid on a coordinate plane P(7,4) Q(10,4) R(13,-1) S(8,-1).
To find:: Length of the side PS
Solution : Using the distance formula, we can find the length of the side PS, therefore
PS=
PS=
PS=
PS=
PS=
which is the required length of the side PS.
Answer:
Step-by-step explanation:
5c + 4f ≥ 200
c + f ≤ 60
c > 0
f > 0
Probability of rolling a sum of 9 or a sum that is even from two number cubes is
11/18
Explanation:
When a dice is rolled there are different ways in which
9. can be obtained, which are (3,6) or (4,5) or (5,4) or (6,3). 4 options. As in all there are
6⋅6=36 options, probability is 4/36 or 1/9.
For getting an even number as sum, we can have (1,1) or (1.3) or (1,5) or (2,2) or (2,4) or (2,6) or (3,1) or (3,3) or (3,5) or (4,2) or (4,4) or (4,6) or (5,1) or (5,3) or (5,5) or (6,2) or (6,4) or (6,6) 18 options, probability is 18/36 or 1/2.
Note that the two events (getting 9 or even sum) are mutually exclusive, the probabilities can be just added i.e. combined probability is
1/9+1/2=2+9/18i.e. 11/18
Answer: 256
Step-by-step explanation:
8x8=64
64x4=256
