Answer:
diameter = m - c
Step-by-step explanation:
In ΔABC, let ∠C be the right angle. The length of the tangents from point C to the inscribed circle are "r", the radius. Then the lengths of tangents from point A are (b-r), and those from point B have length (a-r).
The sum of the lengths of the tangents from points A and B on side "c" is ...
(b-r) +(a-r) = c
(a+b) -2r = c
Now, the problem statement defines the sum of side lengths as ...
a+b = m
and, of course, the diameter (d) is 2r, so we can rewrite the above equation as ...
m -d = c
m - c = d . . . . add d-c
The diameter of the inscribed circle is the difference between the sum of leg lengths and the hypotenuse.
Answer:
30
Step-by-step explanation:
Since there are 5 possible outcomes for the cards, and 6 possible outcomes for the die, there are a total of 5*6=30 outcomes possible. Hope this helps!
Answer:
what to do will I show the image
Answer: -5
Step-by-step explanation: 2 + -11 = -9 and subtract -4 from it since it’s the sum of 2 + -6. -9 - -4 is -9 + 4 so -5
Answer:
$80, $48
Step-by-step explanation:
The original price was x.
The price is reduced by 40%. The markdown is 40% of x, or 0.4x.
The actual dollar amount of the markdown is $32.
That means that 0.4x must equal $32.
We set up an equation and solve for x, the original price.
0.4x = 32
Divide both sides by 0.4
x = 32/0.4
x = 80
The original price is $80.
The markdown is $32.
$80 - $32 = $48
The marked down price is $48.
Answer: $80, $48