Answer:
863 cups
Step-by-step explanation:
step 1
Find the volume of the conical cup
The volume of the cone (cup) is equal to
we have
----> the radius is half the diameter
assume
substitute
step 2
Find out how many cups of water must Carissa scoop out of the sink
Divide the volume of the sink by the volume of the cup
so
(9/14)*6x = (27/7)x
And that is reduced by 10, then...
27/7x - 10
Answer:
x = 14.4
Step-by-step explanation:
x is sin(angle 24/30)×24
how do we get the angle at 24/30 ?
by using the extended Pythagoras for baselines opposite other than 90 degrees.
c² = a² + b² - 2ab×cos(angle opposite of c)
in our example the angle 24/30 is opposite of the side 18.
so,
18² = 24² + 30² - 2×24×30×cos(angle 24/30)
324 = 576 + 900 - 1440×cos(angle 24/30)
324 = 1476 - 1440×cos(angle 24/30)
1440×cos(angle 24/30) = 1152
cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5
angle 24/30 = 36.9 degrees
x = sin(36.9) × 24 = 14.4
Estimate of 2854 = 3000
so 3000 times 9 = 27000
Based on my knowledge, you’d set both equations equal to y, and then set both sides equal to each other then solve.
y=-5+x
y=-2x-4
-5+x=-2x-4
then solve from there
(this could be completely wrong, so don’t only go by my opinion)
