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MrRissso [65]
2 years ago
10

Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r'), what is C' if d d' = 0.25 and C =

6?
Mathematics
1 answer:
Vlad [161]2 years ago
7 0

Answer:

C'=24\ units

Step-by-step explanation:

we know that

Since all circles are similar to each other

The ratio of the circumferences of two circles is equal to the scale factor

The ratio of the diameters of two circles is equal to the scale factor

so

The ratio of the circumferences of two circles is equal to the ratio of its diameter

therefore

\frac{C}{C'}=\frac{d}{d'}

we have

\frac{d}{d'}=0.25

C=6\ units

substitute

\frac{6}{C'}=0.25

C'=\frac{6}{0.25}=24\ units

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Assume that the playbook contains 9 passing plays and 15 running plays. The coach randomly selects 8 plays from the playbook. Wh
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<span>Answer = probability that he selects exactly 2,3,4 or 5 passing plays. prob that he selects exactly two passing plays = (8C2)*(9*8)* (15*14*13*12*11*10) /(26*28*.....19) where: 8C2 is the number of ways of choosing two slots out of 8 and prob that he selects first passing play = 9/26 prob that he select second passing play = 10/25 etc you can calculate the other three cases similarly and sum to obtain the answer.</span>
4 0
2 years ago
Three interior angles of a quadrilateral measure 55, 117 and 120 degrees. What is the measure of the fourth interior angle?
Salsk061 [2.6K]

4 angles = 360

120 + 117 +55 = 292

360-292 = 68

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8 0
2 years ago
Suppose m is a point in the interior of JKL if MKL = 42 andJKL = 84 what is JKM
gtnhenbr [62]

Answer:

∠JKM = 42°

Step-by-step explanation:

Since M is in the interior of ∠JKL, then

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∠JKM  + 42 = 84 ( subtract 42 from both sides )

∠JKM = 42°

5 0
2 years ago
1)Given: AB = 4 AD = 6
Vaselesa [24]
<span>1)Given: AB = 4 AD = 6
What is the name of the radius of the larger circle?
the answer part 1) is 
the radius </span>of the larger circle is AD

<span>2)Given: AB = 4 AD = 6
What point is in the interior of both circles?
the answer Part 2) is 
The point A  (the center of the circles)

</span><span>3) Given: AB = 4 AD = 6
Which points are in the exterior of both circles?</span><span>
the answer Part 3) is
</span><span>E and G

</span><span>4)The circles are _____.
</span><span>the answer Part 4) is
</span><span>concentric
</span>
<span>5)If AC = 20 and BD = 8, what is the radius of the smaller circle?
</span>we know that
radius smaller circle=AB
and
AB=AC-BD--------> AC=20-12-------> AC=8 units

the answer part 5) is
the radius of the smaller circle is 12 units

<span>6)Given: AB = 4 AD= 6
What is the length of BD?</span>
we know that
AD=AB+BD
solve for BD
BD=AD-AB--------> BD=6-4-----> BD=2 units

the answer Part 6) is
the length of BD is 2

<span>7)Given: AB = 4 AD = 6
What is the name of the radius of the smaller circle?</span>

the answer Part 7) is 
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5 0
2 years ago
Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation c
Paha777 [63]
First lets write down our starting conditions:

we have 22 gallons and it has 16% of ammonia

16% of 22 gallons is
A = 16/100*22 = 3,52 gallons

Now since only watter is evaporating that means that in second scenario after some watter evaporated there is still 3,52 gallons of ammonia. But now those 3,52 gallons of ammonia represent 24% of total mixture. So now we go other way. 
24 % is 3,52 gallons
100% is x gallons

x = 100/24*3,52 = 14.667 gallons

That means that he has to evaporate 
22 - 14.6667 = 7,333 gallons of water.
7 0
2 years ago
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