Answer:
The scale factor of a dilation from ABCD to RSTU is
Step-by-step explanation:
We know that the rectangle ABCD is similar to rectangle RSTU.
Given that in rectangle ABCD the longest sides are DC and AB and in the rectangle RSTU the longest sides are UT and RS ⇒ The scale factor of a dilation will transform the sides DC and AB into UT and RS
Working with the lengths of the sides :
DC.(Scale factor) = UT
AB.(Scale factor) = RS
Replacing with the values of the lengths (Scale factor : SF) :
Notice that the scale factor is dimensionless.
We can verify this result with the sides AD and BC :
The scale factor (SF) is
You have been given length and breadth
draw a diagonal across and with the help of Pythagorus theorem take out the answer
Answer:
The population in 40 years will be 1220.
Step-by-step explanation:
The population of a town grows at a rate proportional to the population present at time t.
This means that:
In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.
The initial population of 500 increases by 25% in 10 years.
This means that
We apply this to the equation and find t.
Applying ln to both sides
So
What will be the population in 40 years
This is P(40).
The population in 40 years will be 1220.
<em>The expected value of n is 1.152</em>
The question states that ratio of 2n+2 and 2n-2 = 99:7. This means that
2n+2:2n-2 = 99:7, this also means that
=
If that is so, we can cross multiply so that
99 * (2n - 2) = 7 * (2n + 2), on expanding the bracket, we have
198n - 198 = 14n + 14
198n - 14n = 14 + 198
184n = 212, dividing both sides by 184, we have
n = 212/184
n = 1.152
<u><em>Therefore, the value of n is 1.152</em></u>
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Read more here brainly.com/question/11018135
Answer:
x=10 or x=-2
Step-by-step explanation:
add 28 to both sides
(x-4)^2=36
sqrt both sides
remember to get positive and negative roots
x-4=+/-6
add 4 to both sides
x=4+/-6
x=4+6 or x=4-6