The correct answer is A. 9/12 times 48.
Problem 1
Draw a straight line and plot X anywhere on it.
Use your compass to trace out a circle with radius 1.5 cm. The circle intersects the line at two points. Let's make Y one of those points.
Also from point X, draw a circle of radius 2.5
This second circle will intersect another circle of radius 3.5 and this third circle is centered at point Z.
Check out the diagram below to see what I mean.
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Problem 2
Draw a straight line and plot L anywhere on it.
Adjust your compass to 4 cm in width. Draw a circle around point L.
This circle crosses the line at two spots. Focus on one of those spots and call it M.
Draw another circle centered at point M. Keep the radius at 4 cm.
The two circles intersect at two points. Focus on one of the points and call it N.
The last step is to connect L, M and N to form the equilateral triangle.
See the image below.
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Problem 3
I'm not sure how to do this using a compass and straightedge. I used GeoGebra to make the figure below instead. It's a free graphing and geometry program which is very useful. I used the same app to make the drawings for problem 1 and problem 2 earlier.
Answer:
B. 12cm
Step-by-step explanation:
We can double check by plugging in the number. However, the question trys to trick you, by giving you the diametre, but in order for the formula to work (V=4
/3πr^3), we will divide the diametre by 2 (12 ÷ 2= 6),
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Once we do that, we can double check, when you plug in your numbers your answer will be around 900 (904.78, to be exact, but the question asks for approximate diamtetre).
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Have a good day :)
Answer: -1/8
Step-by-step explanation:
3/4 + -3/8 + -1/4
Find the LCM of 4, 8, and 4
That's 8 so you make an equivalent fraction for all fractions so the denominator is 8.
3/4 = 6/8
-3/8 = -3/8
-1/4 = -4/8
Now the expression looks like this:
6/8 + - 3/8 + -4/8
6/8 - 3/8 - 4/8
6/8 - 7/8
-1/8
Hope that helped!
Answer:
603
Step-by-step explanation:
First divide to get unit rate:
737/11= 67
Then multiply:
67*9= 603
Hope this helps! :)