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Mrrafil [7]
3 years ago
5

1) The width of a rectangle is 6 meters less than its length. The area is 315 square meters. Find the length of the

Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0

Answer:21

Step-by-step explanation:

x=length

x(x-6)=315

x^2-6x=315

x^2-6x-315=0

(x-21)(x+15)

x=21, x=-15

x cannot be negative so the only answer is 21

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A closet contains n pairs of shoes. If 2r shoes are chosen at random, (where 2r < n), what is the probability that there will
Pie
We are choosing 2
2
r
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(
n
2
r
)
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Another way: A perhaps more natural way to attack the problem is to imagine choosing the shoes one at a time. The probability that the second shoe chosen does not match the first is 2−22−1
2
n
−
2
2
n
−
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. Given that this has happened, the probability the next shoe does not match either of the first two is 2−42−2
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. Given that there is no match so far, the probability the next shoe does not match any of the first three is 2−62−3
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n
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n
. So an answer is
22⋅2−22−1⋅2−42−2⋅2−62−3⋯2−4+22−2+1.
2
n
2
n
⋅
2
n
−
2
2
n
−
1
⋅
2
n
−
4
2
n
−
2
⋅
2
n
−
6
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3
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This can be expressed more compactly in various ways.
4 0
3 years ago
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Assoli18 [71]

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Step-by-step explanation:

4 0
3 years ago
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The three angles of a quadrilateral are 55,73,105 what is the fourth angle
-Dominant- [34]

Answer:

x = 127°

Step-by-step explanation:

Let A, B and C be the three angles of a quadrilateral such that they are 55, 73, 105 respectively.

We know that, the sum of angles of a quadrilateral is equal to 360°. Let fourth angle be x.

55+73+105+x = 360

233+x=360

x = 360-233

x = 127°

So, the fourth angle is equal to 127°.

3 0
2 years ago
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bulgar [2K]

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There are 18 teachers in the auditorium.

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1/9 of 162

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4 0
2 years ago
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D, 8x^2 + 2xy - 3y^2.
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3 years ago
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