Answer:
1.99385kg of chicken was eaten.
Step-by-step explanation:
We first need to know how many grams were left in kilograms, so we can find the difference.
Unit conversion: 6.15g x 1kg/1000g = 0.00615kg
Eaten amount of chicken: 2kg - 0.00615kg = 1.99385kg
Hungry family, I suppose...
Answer:
<u>The distance of the library in the map is 0.67 inches (Rounding to two decimal places)</u>
Step-by-step explanation:
1. Let's review all the information given for solving this question:
Scale factor for the map of the town = 0.5 inches: 3 miles
Distance from Niko's house to his school = 3 miles
Distance from Niko's school to the library = 4 miles
2. Let's find the distance of the library in the map
Distance of the library in the map = Distance of the library * Scale factor
Distance of the library in the map = 4 miles * 0.5 inches:3 miles
Distance of the library in the map = (2 miles * inches)/3 miles
Distance of the library in the map = 2 inches/3 (Miles are cancelled in the numerator and in the denominator)
<u>Distance of the library in the map = 0.67 inches (Rounding to two decimal places)</u>
<em>I believe what you need to do is multiply 3 by each number.
To start, 3*584 is 1752. Expanded form written out would be (3*500)+(3*80)+(3*4). Simply multiply all the numbers and then add them together. 3*500=1,500; 3*80=240; 3*4=12. 1,500+240=1740+12=1752. Hope this helps! :)</em>
a, b, c - side lengths (a ≤ b ≤ c)
If
, then is Obtuse triangle.
If
, then is Right triangle.
If
, then Acute triangle.

Check to see if the sum of the first two sides is greater than the third.

, therefore is Scalene triangle.

It's Obtuse triangle.
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.