Answer: The answer is 96 wizards.
Step-by-step explanation:
So what I like to do is fraction formatting.
you start with x/blank and
you do cross multiply divide
and multiple 120 by 80(=9600) and divide by 100 (=96) because wizards are 20% less of the population than goblins, so they are equivalent to 80% of the goblins! Hope this helped!
Answer:
D
Step-by-step explanation:
The augmented matrix for the system of three equaitons is
Multiply the first row by 5, the second row by -3 and add these two rows:
Subtract the third row from the second:
Divide the third row by 6:
Now multiply the third equation by 26 and add it to the second row:
You get the system of three equations:
From the third equation
Substitute z=2 into the second equation:
Now substitute z=2 and y=5 into the first equation:
The solution is (1,5,2)
Answer:
Step-by-step explanation:
First, you gotta work out the hypotenuse of ABC, which is AC.
To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.
12.5/5 = 2.5
The scale factor length between the two triangles is 2.5.
You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.
Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB
Pythagoras's theorem =
a = BC = 12.5
b = AB = we need to work this out
c = AC (the hypotenuse we just worked out) = 32.5
Let's both simplify and rearrange this at the same time so that we have our b on one side.
= 1056.25 - 156.25
b =
b =
b = AB = 30 We've found b or AB, now we can work out the perimeter of ABC.
Perimeter of ABC = AB + BC + AC
= 30 + 12.5 + 32.5
= 75 Here's the perimeter for ABC.
