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slava [35]
3 years ago
7

What side lengths of a rectangle (aka dimensions) will result in an area of 72 square units? List all possible solutions below a

s well as showing your work.
Mathematics
1 answer:
kotykmax [81]3 years ago
5 0
1*72, 2*36, 3*24, 4*18, 6*12, 8*9 (and flipped too but that’s the same thing).
To calculate the area (72) you need the length times the width.
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Explain in words how to solve the following problem.Maske sure to include all steps and the answer. 3/7 divided by 1/2
Maksim231197 [3]
To divide by a fraction is to multiply by its recipricle.
3/7 × 2/1
simplify fraction
3/7 × 2
multiply
6/7
3 0
3 years ago
Read 2 more answers
Consumer products are required by law to contain at least as much as the amount printed on the package. For example, a bag of po
Troyanec [42]

Answer:

The average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802

Step-by-step explanation:

We are given that

Standard deviation, \sigma=0.2ounces

We have to find the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag.

P(x\geq 10)=0.99

Assume the bag weight distribution is bell-shaped

Therefore,

P(\frac{x-\mu}{\sigma}\geq 10)=0.99

We know that

z=\frac{x-\mu}{\sigma}

Using the value of z

Now,

\frac{10-\mu}{0.2}=0.99

10-\mu=0.99\times 0.2

\mu=10-0.99\times 0.2

\mu=9.802

Hence, the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802

5 0
3 years ago
Christopher works at the power plant for the southwest part of his home state. For peak operational performance, his department
Licemer1 [7]

Answer:

B) To maintain peak performance for every 50 generators, there are 10 inspectors.

Step-by-step explanation:

For peak operational:

3 electricians for each generator.  ⇒  1 Generator : 3 Electricians

4 inspectors for every 60 electricians. ⇒  60 Electricians : 4 Inspectors

Now, the number of generators the state has now = 50

Let us assume the number of  inspectors  required by the power plant  = m

Now, from the given ratios:

For, 3 electrician there  is 1 generator

⇒ For, 3 x 20 Electrician  there is 1  x 20 Generators.

or, for 60 Electrician there are 20 Generators.   (1)

Also, for 60 Electrician there are 4 inspectors.    (2)

⇒From (1) and (2), we get:

For every 20 generators, there are 4 inspectors.

And, from what we have assumed  For every 50 generators, there are m inspectors.

So, by the RATIO OF PROPORTION:

\frac{20}{4}  = \frac{50}{m}\\ \implies  m = 50 \times\frac{4}{20}  = 10

or, m = 10

Hence, to maintain peak performance for every 50 generators, there are 10 inspectors.

3 0
4 years ago
At a speed of 22 revolutions per minute, how long will it take a wheel of radius 10,
Bogdan [553]
Well, if the radius is 10, then the circumference is \frac{2*10*22}7=\frac{440}7
What's the unit? Either way, 22 rev. per minute means each minute you go by 22*\frac{440}7=\frac{9680}7 units per second. Now you got the linear speed, just find out the time by dividing the distance by the speed!
So, what's the unit for the radius?
5 0
4 years ago
The arc length
Zina [86]

Answer:

  • s = rθ
  • 2.5 radians
  • 143.24°

Step-by-step explanation:

The applicable formula is ...

  s = rθ

where s is the arc length, r is the circle's radius, and θ is the central angle in radians.

Filling in the given values, we find ...

  15 = 6θ

  θ = 15/6 = 2.5 . . . radians

Pi (π) radians is 180°, so the angle in degrees is ...

  2.5(180°/π) ≈ 143.24°

4 0
4 years ago
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