Solve this perimeter equation for q in terms of P and w: P=2w+2q what is the value of q when w=4 and P=20
1 answer:
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<h2>727</h2>
Step-by-step explanation:
Let us denote the three digit number by , where
is the hundreds digit,
is the tens digit and
is the ones digit.
Hundreds digit = = Ones digit =
Sum of digits =
So,
On exchanging tens and ones digit, value increases by 45. So is 45 greater than
.
∴ Required number is 727
Answer:
radius = 13
Step-by-step explanation:
Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.
First let's find the shorter leg.
<u>Equidistant Chords Theorem</u>
Two chords are congruent if they are equidistant from the center.
Chords in the picture are congruent and that means that the distance from the center to each of them is the same!
Let's calculate the distance. But to get the distance we have to find x first.
Since the distances are the same:
Therefore:
Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.
Therefore:
All that is left is the Pythagorean Theorem in the right triangle.
<u>Pythagorean Theorem</u>
Hypotenuse in our case is the radius.
