Answer:
Is the DIAMETER of a circle proportional to its circumference??
1. One of the unique qualities of a circle is that its diameter and circumference have a proportional relationship.
2. This means that no matter what size the circle is, the proportional relationship, or ratio, between its circumference and diameter is always the same.
Is the RADIUS of a circle proportional to its area??
1. Yes, the circumference of a circle is proportional to its radius.
2. Double the radius and you double the circumference.
Answer:2
Step-by-step explanation:
DIVIDE 425 ON BOTH SIDES
AND U WILL GET 2
OK. I did it, and I have the solution.
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The length of the deck is (5 + 2x) .
The width of the deck is (4 + 2x) .
If the deck didn't have that big hole in the middle where the pool is,
then its area would be
(5 + 2x) · (4 + 2x) .
When you multiply that all out, you get Area = 4x² + 18x + 20
and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write
4x² + 18x + 20 = 90 .
Subtract 90 from each side: 4x² + 18x - 70 = 0
Divide each side by 2 : 2x² + 9x - 35 = 0
You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
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That makes the deck 10 yds high and 9 yds wide.
Total area of the whole big rectangle, (deck + pool ), = 90 yds².
Answer:
-62
Step-by-step explanation:
y³ – 2y (y – 5) + 13
when y = -3
y³ – 2y (y – 5) + 13
=(-3)³ – 2(-3) [ (-3) – 5] + 13 (by PEDMAS, evaluate parentheses first)
=(-27) + (6) (-8) + 13 (next do multiplication)
=(-27) + (-48) + 13
= -27 - 48 + 13
= -62
P=amount of money investedr= interest rate percentage in decimal formt=time in yearsa=total money in the account at a time A = P(1 + rt)A/P = 1 + rtA/P - 1 = rtt = ((A/P)-1)/r t = ((5500/1000)-1)/(6.25/100)t = (5.5-1)/0.0625t = 4.5/0.0625 = 72 years It will take 72 years.