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Let's set up this problem.
k+7=34
Subtract k from both sides.
k=27
Answer: 47.5 or just 47
Step-by-step explanation: Well, to start, set up a ratio.
x / 50 = 95 / 100
95 * 50 is 4750
4750 / 100 is 47.5.
Now, it's asking how many questions he got correct. You can't get 47.5 questions correct, it should be a whole number. Now, I don't know how the rules work with that question, but it is like 47.
<h3>
Answer: A) around 80 cm</h3>
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Explanation:
The perimeter around the circle, aka circumference, is found through this formula
C = 2*pi*r
That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.
For the outer larger semicircle, that curved distance is exactly 14pi
For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.
The total curved portions is 14pi+7pi = 21pi
Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14
This is the exact perimeter in terms of pi.
The last thing to do is replace pi with 3.14 and simplify
21pi+14 = 21*3.14+14 = 79.94
This value rounds to 80
<span>30cm is the difference between the height of the soap in the full dispenser and height of the remaining soap.
</span>The formula for cylindrical height is:
Area
-------- - r
2 * π * r
Cylindrical height of full dispenser.
5652 5652
--------------------- - 7.5 = ------------ - 7.5 = 120 - 7.5 = 112.50
2 * 3.14 * 7.5 47.1
Cylindrical height of dispenser with lesser liquid soap
4239 4239
-------------------- - 7.5 = ------------ - 7.5 = 90 - 7.5 = 82.50
2 * 3.14 * 7.5 47.1
Cylindrical height of full soap 112.50
Cylindrical height of lesser soap - 82.50
Difference in height of soap content 30.00
Hope it helps! :D
