Answer:
6433.98 ft
Step-by-step explanation:
In order to find what 25% of the tank's capacity is, we know to know the full capacity of the tank then take 25% of that. The volume formula for a right circular cone is
We have all the values we need for that:
This gives us a volume of 25735.93 cubic feet total.
25% of that:
.25 × 25735.93 = 6433.98 ft
Answer:
y=3/4x-11
Step-by-step explanation:
When a line is perpendicular to another line, their slope is the opposite reciprocal of that. So in this case, the slope of the perpendicular line would be positive 3/4. Next, plug in the points (8,-5) in the y=mx+b formula along with the new slope. In conclusion, the new point slope formula is y=3/4x-11.
Hope this helps! :)
A math equation without an equal sign
Answer:
21) 12 cm
22) 5.9 cm
Step-by-step explanation:
21) The base is 10, and if the other two sides are congruent and the perimeter is 36, we can figure out with simple algebra that the sides are 13 cm long.
Half of 10 is 5, so we can use the pythagorean theorem.
5^2+x^2=13^2
Rearranging the variables we have 169-25=x^2
144=x^2
x can be plus or minus 12, but since negative length is impossible we find that x is positive 12 cm.
22) We want to use sine, because we have opposite and hypotenuse. A simple and easy way to memorize this is the SohCahToa method. If we have opposite (O) and hypotenuse (H) we have OH. Soh has the letters O and H, and the S means we should use sine.
sine 36=a/10
Plug this into a calculator or desmos scientific calculator to get a=5.9
Answer:
Step-by-step explanation:
0.2x + 2.7x - 8.1 = 6.9 + 1.1x
0.2x + 2.7x - 1.1x = 6.9 + 8.1
1.8x = 15
x = 15/1.8
x = 8.33