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Leokris [45]
3 years ago
9

the length and width of a rectangle are whole numbers of centimeters. neither is divide by 6.the area of the rectangle is 36 squ

are centimeters.What is the perimeter of the rectangle
Mathematics
1 answer:
liraira [26]3 years ago
3 0

Note that

  1. 36=1·36;
  2. 36=2·18;
  3. 36=3·12;
  4. 36=4·9;
  5. 36=6·6.

If neither (length and width) is divide by 6, then cases 1, 2, 3 and 5 are extra, because

  1. 36:6=6 (is divide by 6);
  2. 18:6=3  (is divide by 6);
  3. 12:6=2  (is divide by 6);
  4. 6:6=1  (is divide by 6).

The only possible dimensions are: width - 4 cm and length - 9 cm.

Then the perimeter is

P=4+9+4+9=26 cm.

Answer: 26 cm.

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Solve: log8 (x - 4) = 2
Vsevolod [243]

Answer:

x = 68

Explanation:

⇒ log₈(x - 4) = 2

<u>apply log rules</u>: logₐN = x then N = aˣ

⇒ (x - 4) = 8²

<u><em>simplify</em></u>

⇒ x - 4 = 64

<u><em>add 4 on both sides</em></u>

⇒ x = 64 + 4

<u><em>add the integers</em></u>

⇒ x = 68

4 0
2 years ago
Read 2 more answers
Find the slope of a line perpendicular to 3x + 5y = 15.
Zielflug [23.3K]

Answer:

B)5/3

Step-by-step explanation:

"3x + 5y = 15."

Rewrite in slope-intercept form.

The slope-intercept form is  

y=mx+b

where  m is the slope and  b  is the y-intercept.

y=mx+b

Subtract  3x  from both sides of the equation.

5y=15−3x

Divide each term by  "5"  and simplify.

5y/5=15/5−3x/5

"5" and "5" cancel each other out

Divide  15  by  5

y=3-3x/5

Reorder  3  and  −3x/5

y=-3x/5+3

Rewrite in slope-intercept form.

y=−3/5x+3

Slope:-3/5

The equation of a perpendicular line to  y=−3x/5+3  must have a slope that is the negative reciprocal of the original slope.

<em>m</em>perpendicular=−1/(−3/5)

Simplify the result.

mperpendicular=5/3

hope this helps!

8 0
3 years ago
Please answer this and show your work please I really need help !!!
klemol [59]
Unless you just want to give money to the ice cream truck, for 0 items, you will pay 0.

Since the price of each item is $0.77, for one item you will pay $0.77. (Is that a surprise?)

Then for two items, you will pay $0.77 for each one, or $0.77 + 0.77 = $1.54. You can also compute this by making use of the fact that multiplication is a shortcut for repeated addition. The price can be found by $0.77×2 = $1.54 = f(2).

Similarly, for 3 items, you can add $0.77 three times: $0.77 + 0.77 + 0.77 = f(3), or you can use multiplication: $0.77×3 = $2.31 = f(3).

a) Our table looks like
  (x, f(x))
  (0, 0)
  (1, 0.77)
  (2, 1.54)
  (3, 2.31)

b) By now, I'm sure you have realized that to find the price of x items, you multiply 0.77 by x.
  f(x) = 0.77x
8 0
3 years ago
Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How
HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that \mu = 5.2r, in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

P(X \geq 1) = 1 - P(X = 0) = 0.99

Thus:

P(X = 0) = 1 - 0.99 = 0.01

We have that:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}

Then

e^{-5.2r} = 0.01

\ln{e^{-5.2r}} = \ln{0.01}

-5.2r = \ln{0.01}

r = -\frac{\ln{0.01}}{5.2}

r = 0.89

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0
3 years ago
Determine the slope of the lines.
JulijaS [17]
i think it’s perpendicular
7 0
3 years ago
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