Assuming you want to solve for a, then
ad - 7 = y (reversing the equation to have a on left side )
add 7 to both sides to isolate the term with a
ad = y + 7 ( divide both sides by d )
a =
The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each
shaded part. Give your answer as a completely simplified exact value in terms of π (no approximations).
1 answer:
You might be interested in
Answer:
100 in²
Step-by-step explanation:
Since the figures are similar
the linear ratio of sides = a : b , then
ratio of areas = a² : b²
ratio of sides = 15 : 21 = 5 : 7
ratio of areas = 5² : 7² = 25 : 49
let the area of the smaller figure be x then by proportion
=
( cross- multiply )
49x = 4900 ( divide both sides by 49 )
x = 100
Area of smaller figure is 100 in²
x = 3/32
Option C is the right answer
Complete Question
In a list of 15 households, 9 own homes and 6 do not own homes. Four households
are randomly selected from these 15 households. Find the probability that the
number of households in the sample which own homes is exactly 3
Answer:
Step-by-step explanation:
From the question we are told that
The number of household is n = 15
The number of household that own homes is k = 9
The number of household that do not own homes is u = 6
The number of households randomly selected is q = 4
Generally the number of ways of selecting 3 household from the total number of 9 households that own homes is mathematically represented as
Here C stands for combination hence we would be making use of the combination feature in our calculator
=>
=>
Generally the number of ways of selecting 1 household from the total number of 6 households that do not own homes is mathematically represented as
=>
=>
Generally the number of ways of selecting 4 household from the total number of 15 households on the list is mathematically represented as
=>
=>
Generally the probability that the number of households in the sample which own homes is exactly 3 is mathematically represented as
=>
X is here represent the number of household in the selected sample that own homes
=>