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brilliants [131]
3 years ago
9

Which is a common denominator for the numbers: 40 and 28

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0

Hi!

I can help you with joy!

Let's list 10 multiples of 40 and 10 multiples of 28.

The first 10 multiples of 40 are:

40, 80, 120, 160, 200, 240, 280, 320, 360, 400...

The first 10 multiples of 28 are:

28, 56, 84,112, 140, 168, 196, 224, 252, 280

I have highlighted it. Guess why!

Because it's the LCM (LEAST COMMON MULTIPLE) of 40 and 48.

*RosalindCordelia*

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the perimeter of a square is equal to the perimeter of an equilateral triangle the length of a side of the square is given by th
diamong [38]

Answer:

x = 3

Step-by-step explanation:

We are told that the length of a side of the square is x.

Now, perimeter of square = 4 × side length

Perimeter of square = 4x

Also,we are told that the triangle is equilateral and a side is (x + 1).

Thus, perimeter of triangle = 3(x + 1)

Since we are told that the perimeter of the square is equal to that of the equilateral triangle. Thus;

4x = 3(x + 1)

4x = 3x + 3

Subtract 3x from both sides to get;

4x - 3x = 3

x = 3

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3 years ago
How do I find the missing sides in this triangle?
stiv31 [10]

Answer:

This is a 30-60-90 triangle so you would do this formula:

Short side (opposite the 30 degree angle) = x.

Hypotenuse (opposite the 90 degree angle) = 2x.

Long side (opposite the 60 degree angle) = x√3.

Step-by-step explanation:

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3 years ago
An equipment rental business currently charges $32.00 per power tool rental and averages 24 rentals a day. The company recently
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Part a I think sorry if I’m wrong
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Triangle ABC is a right triangle with mC = 90°, m B = 54°, and
rosijanka [135]

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YES

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3 years ago
Suppose that 15% of the fields in a given agricultural area are infested with the sweet potato whitefly. One hundred fields in t
hram777 [196]

Answer:

a.\mu=15

b.\mu=7.8586 \ and  \ \mu=22.1414

c. Choice A- Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

Step-by-step explanation:

a.Binomial distribution is defined by the expression

P(X=k)=C_k^n.p^k.(1-p)^{n-k}

Let n be the number of trials,n=100

and p be the probability of success,p=15\%

The mean of a binomial distribution is the probability x sample size.

\mu=np=100\times0.15=15

b.Limits within which p is approximately 95%

sd of a binomial distribution is given as:\sigma=\sqrt npq\\q=1-p

Therefore, \sigma=\sqrt(100\times0.015\times0.85)=3.5707

Use the empirical rule to find the limits. From the rule, approximately 95% of the observations are within to standard deviations from mean.

sd_1=>\mu-2\sigma=15-2\times3.3507=7.8586\\sd_2=>\mu-2\sigma=15+2\times3.3507=22.1414

Hence, approximately 95% of the observations are within 7.8586 and 22.1414 (areas of infestation).

c.  x=45 is not within the limits in b above (7.8586,22.1414). X=45 appears to be a large area of infestation. A.Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

4 0
4 years ago
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