Answer:
Option A
Step-by-step explanation:
Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF
Area of ΔABH =
=
= 9 in²
Area of the trapezoid =
=
= 25 in²
Area of ΔDEF =
= 24 in²
Therefore, area of the given figure = 9 + 25 + 24
= 58 in²
Option A will be the correct option.
Answer: 65,780
Step-by-step explanation:
When we select r things from n things , we use combinations and the number of ways to select r things =
Given : The total number of playing cards in a deck = 52
The number of different five-card hands possible from a deck = 2,598,960
In a deck , there are 26 black cards and 26 red cards.
The number of ways to select 5 cards from 26 cards =
Hence, the number of different five-card hands possible from a deck of 52 playing cards such that all are black cards = 65,780
Answer:
Options (E) and (G).
Step-by-step explanation:
From the data given in the table,
There is a common difference of $100 in every successive term of the amount of money.
Therefore, graph of the given table will represents a linear graph.
There are two points (5, 1200) and (6, 1300) lying on the graph.
Let the equation of the line is,
If A = Amount of money
n = Number of months
where 'n' = slope of the line
Slope =
=
= 100
Equation of the line passing through (6, 1300) and slope = 100
A - 1200 = 100(m - 5)
A = 100(m - 5) + 1200
A = 100m - 500 + 1200
A = 100m + 700
Therefore, Options (E) and (G) are the correct options.