P-0.20p into a equivalent expression
1 answer:
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Answer:
A) (7.6, 8.8)
which are the coordinates of the treasure.
Missing Problem Statement:
Given Options:
A) (11.4, 14.2)
B) (7.6, 8.8)
C) (5.7, 7.5)
D) (10.2, 12.6)
I have added the picture showing the traced map onto a coordinate plane to find exact location of treasure.
The coordinates of Tree are (16,21)
Coordinates of rock are (3,2)
Step-by-step explanation:
Let,
Coordinates of treasure be (a,b)
= distance from tree to treasure
=distance from rock to treasure
Given ratio between rock and tree, = 0.55_______(Equation.1)
which will be used to locate the treasure.
Now we just need to cross check by putting the coordinates given in the options one by one to find out value of ,
and checking if it satisfies the Equation 1.
Check (A) (11.4, 14.2)
= 14.8,
= 8.2,
= 1.8
Check (C) (5.7, 7.5)
= 6.13,
= 16.98,
= 0.36
Check (D) (10.2, 12.6)
= 12.8,
= 10.2,
= 1.25
Check (B) (7.6, 8.8)
= 8.2,
= 14.8,
= 0.55
Which satisfies Equation 1, such that ratio between rock and tree is 5:9 or = 0.55
So, the coordinates of the treasure are (B) (7.6, 8.8)
Two figures are similar if one is the scaled version of the other.
This is always the case for circles, because their geometry is fixed, and you can't modify it in anyway, otherwise it wouldn't be a circle anymore.
To be more precise, you only need two steps to prove that every two circles are similar:
- Translate one of the two circles so that they have the same center
- Scale the inner circle (for example) unit it has the same radius of the outer one. You can obviously shrink the outer one as well
Now the two circles have the same center and the same radius, and thus they are the same. We just proved that any two circles can be reduced to be the same circle using only translations and scaling, which generate similar shapes.
Recapping, we have:
- Start with circle X and radius r
- Translate it so that it has the same center as circle Y. This new circle, say X', is similar to the first one, because you only translated it.
- Scale the radius of circle X' until it becomes
. This new circle, say X'', is similar to X' because you only scaled it
So, we passed from X to X' to X'', and they are all similar to each other, and in the end we have X''=Y, which ends the proof.