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creativ13 [48]
3 years ago
13

There are 81 members in the marching band. The director wants to arrange the band members in rows and columns so that there are

an equal number of people in each row and column. How many rows and columns would there be? ________ rows ________ columns
Mathematics
2 answers:
Kipish [7]3 years ago
5 0
81 is a perfect square root

\sqrt{81} = +/- 9
we take away the negative value

simply 9 rows and 9 columns.
OLga [1]3 years ago
3 0
9 rows and 9 columns
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the sum of the reciprocals of two consecutive even integers is 9/40. this can be represented by the equation shown 1/x + 1/(x+2)
Ivanshal [37]

Answer:

  8, 10

Step-by-step explanation:

Multiplying the equation by the product of the denominators, we have ...

  40(x+2) +40x = 9x(x+2)

  80x +80 = 9x^2 +18x . . . . eliminate parentheses

  9x^2 -62x -80 = 0 . . . . . . put in standard form

  9x^2 -72x +10x -80 = 0 . . . prepare to factor by grouping

  9x(x -8) +10(x -8) = 0 . . . . . factor pairs of terms

  (9x +10)(x -8) = 0

Solutions are ...

  x = -10/9  and  x = 8

The integers are 8 and 10.

_____

<em>Comment on the attachment</em>

I find a graphing calculator to be a nice tool for solving these. It finds zeros easily, so writing the equation so it equals zero is a useful first step.

5 0
3 years ago
What is the approximate area of the shaded sector in the circle shown below?
Strike441 [17]

Answer:

Correct option is B.

Step-by-step explanation:

Given the radius of circle and the angle in sector we have to find the area of shaded region i.e minor sector.

Radius=r=16 in.

Angle=\theta=110^{\circ}

Area of sector=}\frac{\theta}{360}\times\pi r^2

                      =\frac{110}{360}\times\frac{22}{7}\times(16)^2

                      =\frac{11}{36}\times \frac{22}{7}\times 16\times 16=245.841=246(approx.)

∴ Area of sector is 246in^2

Correct option is B.

4 0
3 years ago
In an experiment, the probability that event A occurs is
AnnZ [28]

Answer:

1/63

Step-by-step explanation:

Here is the complete question

In an experiment, the probability that event A occurs is  1 /7  and the probability that event B occurs is  1 /9 .

If A and B are independent events, what is the probability that A and B both occur?

Simplify any fractions.

Solution

the probability of independent events A and B occurring is P(A u B) = P(A)×P(B) where P(A) = probability that event A occurs =  1 /7 and P(B) = probability that event B occurs =  1 /9 .

So,  P(A u B) = P(A)×P(B) = 1/7 × 1/9 = 1/63

7 0
3 years ago
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Three bags of rice weigh 90 kgs. How much do 9 bags weigh?
Varvara68 [4.7K]

9 bags would weigh 270kgs

7 0
3 years ago
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A triangle has angle measures 23degrees and 35 degrees. what is the measure of the third triangle
Tju [1.3M]
The answer is 122 for the final angle
7 0
3 years ago
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