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Aleks [24]
3 years ago
10

The triangle below models a section of the supports you might see in a construction crane.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Exactly what was your answer for a

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Divide 4 2/3 & 3 1/3. Simplify the answer and write it as a mixed number.
Leto [7]

Answer:

4 2/3 ÷ 3 1/3= 1 2/5

Step-by-step explanation:

First, you turn the mixed terms into an improper fraction like this

4 2/3 → 14/3 because when you multiply 4 times 3 equaling 12 then having 2 then adding that you get 14/3.

3 1/3 → 10/3 because when you multiply 3*3=9 then having 1 and adding that you get 10/3.

Then, you do KCF which stands for <u>Keep Change Flip</u> so for this you would do: 14/3 ÷ 10/3 → 14/3 × 3/10

14 × 3 = 42 and 3 × 10= 30

Now being 42/30 this is considered an improper fraction in which you have to transform it into a mixed number like this:

(For this you need to find the greatest common factor)

42/30 →  42 and 30 greatest common factor is 6 because they are divisible and factor of 6.

Now you divide both the denominator and the numerator y 6 like this:

42 ÷ 6= 7

30 ÷ 6= 5

Now we have 7/5, this is still an improper number so we see how many times 7 can go to 5 which is once. So we have 1 as whole number, now we put the reminder as the numenator of the mix fraction keeping 5 as being the denominator.

Overall, We have our answer 1 2/5

I hope this helps :D  

7 0
3 years ago
What's the correct label for an angle with its vertex at point Y that passes through point X on one side of the angle and point
GenaCL600 [577]

<u>Answer:</u>

The correct answer option is B. ∠XYZ.

<u>Step-by-step explanation:</u>

In geometrical terms, an angle is the figure which is formed by two rays which are called the sides of the angle.

Here, for the described situation for a triangle XYZ, Y is the vertex with the side rays or sides of the angle YX and YZ.

Considering the sides of the angle, you can name the angle as either ∠XYZ or ∠ZYX or simple ∠Y without mentioning any side rays.



3 0
3 years ago
The creators David Benioff and D. B. Weiss of the TV show "Game of Thrones", want to know how popular Season 8 was among the sho
hram777 [196]

Answer:

The lower bound for a 90% confidence interval is 0.2033

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 40361, \pi = \frac{8337}{40361} = 0.2066

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2066 - 1.645\sqrt{\frac{0.2066*0.7934}{40361}} = 0.2033

The lower bound for a 90% confidence interval is 0.2033

3 0
3 years ago
Points (1,1) and (2,4) lie on line k. what is the slope of the line that is perpendicular to k?
makkiz [27]
-1/3 is the slope of the line perpendicular to k
4 0
3 years ago
Write a numerical expression to represent the phrase.
RSB [31]

Answer:

6 + 12² = x

There's not an explanation for this-

3 0
3 years ago
Read 2 more answers
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