Answer:
Ah yes, one of my favorite topics.
Step 1: Which ever fraction comes first, you will solve it first. For this question, focus on doing
first. Afterwards, do ![\frac{9}{10}-\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B10%7D-%5Cfrac%7B3%7D%7B5%7D)
Step 2: First one equals to 1.125. Next, find the LCD (lowest common dominator, which is 10). ![\frac{9}{10} -\frac{6}{10}=\frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B10%7D%20-%5Cfrac%7B6%7D%7B10%7D%3D%5Cfrac%7B3%7D%7B10%7D)
Step 3: 1.125+3/10
Set up a proportion.
The total side of the “top” line is 8 + 10 = 18. The total side of the “bottom” line is 45. This makes the ratio 18/45.
Now we are trying to find the “larger” bottom segment, let it be x. Because the lines are parallel, the ratio of the “larger” top and bottom segments is equal to the ratio of the whole top and bottom lines.
So 18/45 = 10/x
Reduce 2/5 = 10/x
Cross multiply 2x = 50
Solve x = 25
Answer:
46.67 cubic feet
Step-by-step explanation:
The formula for volume of a pyramid is
V = (1/3)Bh where B is the area of the base, and h is the height.
We are givne B = 35 and h = 4. Plug those values in and simplify...
V = (1/3)(35)(4)
V = (1/3)(140)
V = 140/3
V = 46 2/3 cubic feet, which is 46.666667, or 46.67 rounded to the nearest hundredth
Answer:
3/2
Step-by-step explanation:
w/3=3(w-1)-1
w=9w-9-3
-8w=-12
w=3/2
Density = mass / volume
Mass = 25.69g and Volume = 10 mL
D = 25.69g / 10mL
Density = 2.569 g/mL