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Marat540 [252]
3 years ago
14

Hii, so this was one of the questions on a previous CSAT exam (korean sat). I was curious and decided to look at a few questions

. This question I found was particularly interesting and I am close to figuring it out but i keep getting stuck. Would anyone like to explain how this works and how to solve it?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

Step-by-step explanation:

Well you can calculate the area of the base side by the integration of cos - sin x over the limits x = 0 and x = π/6.

Then I think one side of the square  would be cos π/6 - sin  π/6.

So I think the required volume  can be worked out as area of base * length of a side of the square.

I think that,s the way to do it, if i have interpreted the question correctly.

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By selling a stool for rupees 67.50,a carpenter loses 10%.how much percent would he gain or lose by selling it for rupees 82.50.
valentina_108 [34]
Let the actual value of the stool be x.

So if the carpenter sells the stool x rupees he neither loses, now wins anything.

67.50 is the value x - 10% of x, that is:

67.50=x-0.1x
67.50=0.9x

x=67.50/0.9=75      (rupees) is the actual value of the stool.


Selling the stool for 82.50 rupees, the carpenter clearly would make a profit, say of y% of that actual value, that is y%*75.

So using the same method:

82.50=75+y%*75

y%*75=82.50-75=7.5

we can make the calculations, but clearly 7.5 is 10% of 75


Answer: 10% gain.


8 0
3 years ago
What is the 22nd­ term of the arithmetic sequence ­­­ ­ ­ ­­ ­ ­ ­ ­­ 12 , 17 ,­ 22 , 27 , .... , .... , ....
11Alexandr11 [23.1K]

Answer: 117

Step-by-step explanation:

Formula for arithmetic sequence is:

= a + (n - 1)d

22nd term = a + (n - 1)d

= a + (22 - 1)d = a + 21d

where, a = 12

d = 17 - 12 = 5.

Therefore, 22nd term will be:

= a + 21d

= 12 + 21(5)

= 12 + 105

= 117

The 22nd term is 117

5 0
3 years ago
Find the area of a triangle that has a base of 16 inches and a height of 5 inches.
sertanlavr [38]
You’d do 16x5 and that would give you 80in^2 your welcome! Hope this helps!
6 0
3 years ago
Ten frequent gamers are randomly selected. The random variable represents the number of frequent gamers who play video games on
notsponge [240]

Answer:

For this to be a binomial experiment, the assumption that is made is:

C. The probability of being selected is the same for all ten gamers.

Step-by-step explanation:

a) A binomial experiment must meet the following four conditions:

1. The experiment must consist of 'n' identical trials.

2. Each experiment must result in one of the two outcomes of either success or failure.

3. The probability of success (p) must remain the same from one experiment to the next.

5 0
3 years ago
Read 2 more answers
An instrument maker creates a triangle in the shape of an isosceles triangle by bending a metal rod. the rod is 13 inches long,
Gre4nikov [31]

The length of the longest slide is 5 inches. he other two sides will be 4  inches in length.

<h3>Length of the longest slide</h3>

Isosceles triangle

Given:

Total length=13 inches

Hence:

AC=BC<AB

Let AC=BC=x-1 inches

AB=x inches

Thus:

x-1+(x-1)+x=13

3x-2=13

3x=13+2

3x=15

divide both side by 3x

x=15/3

x=5 inches

Hence:

Other two side

x-1=5-1=4 inches

Therefore the length of the longest slide is 5 inches. he other two sides will be 4  inches in length.

Learn more about Length of the longest slide here:brainly.com/question/7807143

#SPJ1

8 0
2 years ago
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