Like all problems that involve images within the question, we should definitely try to draw this out. In the picture above, I have done this.
Now, we can see that this is just a simple proportion problem. For every 2.5 cm of height of the flower, we are 2 cm from the opening, or aperture. For every 20 cm of height, how far are we? We can set up the problem like this:
20 ............2.5
-------- = ---------
...x ............. 2
where x is the unknown distance to the aperture from the flower. Now, we just need to get x by itself. A typical way of solving something like this is by doing "butterfly multiplication" which is really just a shortcut haha. Anyway, I can rewrite that equation ^ as:
20×2 = 2.5 × x
Then, to solve for x, we would divide both sides by 2.5. (If you don't know why that is, please let me know and I'll elaborate).
We would then have:
20×2
------- = x
2.5
Which then simplifies to:
x = 16
Try using the same logic for your second question, and if you get stuck, I'd be happy to help! please let me know if any of this doesn't make sense. :)
Answer:
Step-by-step explanation:
Pru, Piper, Phoebe ratio 5:3:4vadded = 12
What this means is Pru has 5/12 of the total amount, Piper has 3/12 of the total amount, and Phoebe has 4/12 of the total amount of spices.
pru = piper + 24
5/12x = 3/12x + 24
5/12x - 3/12x = 24
2/12x = 24
x = 24 / (1/6)
x = 24 * 6
x = 144 spices in total
Pru has : 5/12(144) = 720/12 = 60 spices
Piper has : 3/12(144) = 432/12 = 36 spices
Phoebe has : 4/12(144) = 576/12 = 48 spices
I hope this can help.
Answer:the measure of angle 6 is 60 degrees.
Step-by-step explanation:
The two horizontal lines ate straight and parallel lines. It is established that the sum of the angles on a straight line is 180 degrees. Looking at the given figure, angle 5 and angle 6 are on a straight line. Therefore
Angle 5 + angle 6 = 180 degrees. Therefore,If angle 5 is 120 degrees,then
Angle 6 + 120 = 180
Angle 6 = 180 - 120 = 60 degrees.
Answer:
d. 5.25
Step-by-step explanation:
make it into two fractions: 6/8 = x/7
solve for x by cross multiplying.
Answer:
volume of old tank=20×4×10=800m³
no of shark adjust =800/25=32 sharks is adjusted in old shark tank
for new
if length=25℅0f 20+20=25m
breadth=25%of 4 +4=1+4=5m
height is same=10m
new volume =25×5×10=1250m³
total no.of shark adjust=1250/25=50 shark
50-32=18 more shark that the new tank hold.