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Answer:
Area of rectangle PLUM = 75.00 square units
Step-by-step explanation:
Since diagonal of rectangle divides the rectangle into two equal triangles,
Therefore, area of the rectangle PLUM = 2× area of triangle PLM
By the mean proportional theorem,
In ΔPLM,
AP² = AM × AL
6² = AM × 8
AM =
AM = 4.5 units
Area of PLM =
=
=
= 12.5 × 3
= 37.5 units²
Now area of rectangle PLUM = 2×37.5 = 75 units²
Therefore, area of the rectangle is 75.00 square units.
The formula of the midpoint of HE:
We have H(0; 0) and E(2a; 2a). Substitute:
We have H(0; 0) and E(2a; 2a). Substitute:
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