Answer: there are 200 nickels in 1 kilogram of nickels
Step-by-step explanation:
For this case we must take into account the following conversion:
1Kg = 1000 g
Therefore, we can make the following rule of three:
5 grams ---------> 1 nickel
1000 grams ----> x
Clearing x we have:
x = (1000/5) * (1)
x = 200 nickels
Answer:
to help, i will demonstrate the first problem. This is a right triangle. We know this because it is a 45-45-90 triangle.
Because of this we know that the sides are 2 and 2 (they must be equal).
Now we need the hypotenuse- the side across from the right angle (in other words, the diagonal line).
To do this we take 2 times the square root of two. This makes it 2.82.
We can solve this by distributing

Now, distribute the 4 to both 8x and 5.

That's your answer!
See the attached figure to better understand the problem
we know that
1) First way to find the value of ain the triangle ABC
<span>applying the Pythagorean theorem
AC</span>²=AB²+BC²--------> BC²=AC²-AB²-----> BC²=25²-15²-----> BC²=625-225
BC²=400--------> BC=20 units
a=BC
a=20 units
2) Second way to find the value of a
in the triangle ABD
AB²=AD²+BD²--------> BD²=AB²-AD²-----> BD²=15²-9²---> BD²=144
BD=12 units
in the triangle BDC
a=BC
BC²=BD²+DC²-----> 12²+16²----> 144+256------> BC²=400
BC=20 units
a=20 units
Answer:
going clockwise from upper left the correct graph is the 2nd one
Step-by-step explanation:
asymptote at -2