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9.94 + 10.01p ≤ 70, p ≤6
Answer: $2215
Step-by-step explanation:
For the past 5 weeks, Mandy adds $291 each week to her account. This gives $291×5= $1455
Money received on birthday= $313
Money started with in the account= $527
Total money in Mandy's account will be= $1455+$313+$527 = $2295
The total amount in Mandy's account is $2215
Answer:

Step-by-step explanation:
Connect points I and K, K and M, M and I.
1. Find the area of triangles IJK, KLM and MNI:

2. Note that

3. The area of hexagon IJKLMN is the sum of the area of all triangles:

Another way to solve is to find the area of triangle KIM be Heorn's fomula, where all sides KI, KM and IM can be calculated using cosine theorem.
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.

The width is 21 centimeters.