684,658 to nearest one thousand
1 answer:
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Answer:
Length of Chord QS = 33
Step-by-step explanation:
<u>Length of Chord QS</u>:
QW X WS = PW = WR
12(4x + 1) = 14(3x + 3)
48x + 12 = 42x + 42
48x - 42x = 42 - 12
6x = 30
x = = 5
∴ Length of Chord QS = 12 + 4(5) + 1 = 13 + 20 = 33
The intersecting chords theorem or just The chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. Each chord is cut into two segments at the point of where they intersect. One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.
Answer:
At the end of the party <u>5.5 gallons or 88 cups</u> of punch will be leftover.
Step-by-step explanation:
Given:
There are 20 guest at a party.
Now, to find the quantity of punch that will be leftover.
Number of guests = 20.
Total gallons of punch = 8.
Now, using conversion factor we change gallons into cups:
1 gallon = 16 cup.
So, 8 gallons = 16 × 8 = 128 cups.
<u><em>Thus, total cups of punch = 128.</em></u>
Total number of cups each guest will drink = 2.
Now, to get total number of cups the 20 guests will drink by multiplying:
<u><em>Total number of cups the 20 guests will drink = 40.</em></u>
So, to get the leftover punch we subtract the total number of cups the 20 guests will drink from total cups of punch:
So, 88 cups =
Therefore, at the end of the party 5.5 gallons or 88 cups of punch will be leftover.