Answer:
c = 42.5
Step-by-step explanation:
The legs of the triangle are a and b and the hypotenuse is c
Let a be the shorter leg
The hypotenuse is 5 more than the longest leg
c = b+5
The shortest leg is 20
a = 20
We can use the Pythagorean theorem
a^2 +b^2 = c^2
Substituting in what we know from above
20 ^2 + b^2 = (b+5)^2
FOIL (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25
400 + b^2 = b^2+10b+25
Subtract b^2 from both sides
400+b&2-b^2 = b^2 -b^2 +10b+25
400 = 10b+25
Subtract 25 from both sides
400-25 = 10b+25-25
375 = 10b
Divide by 10
375/10 = 10b/10
37.5 = b
But we want to find c
c=b+5
c = 37.5+5
c = 42.5
Answer:
in terms or pi
simplified
Step-by-step explanation:
To solve this, we are using the Cylinder's volume formula:
where
is the volume of the cylinder
is the radius of the cylinder
Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius: 
. Now, 9 1/2 inches is 9 and a half inches, so 
.
Replacing values:
We can conclude that the volume of our cylinder is in terms of pi, or simplified.
The intercepts for x+y=5
X= (5,0)
Y= (0,5)
Slope is 3 and y intercept is (0,7)
13/52 is the ratio of hearts to all cards
That reduces to a 1/4 ratio
or a 25% chance of drawing a heart
The answer to your question is,
$8.84, since when you divide the numbers 67.99 and 13%, you get $8.84.
-Mabel <3
