Answer:
6x²5y²6 cm²
Step-by-step explanation:
(2xy3) x (4x5y6)
(2x) x (4x) = 6x²
(y) x (5y) =5y²
6x²5y²6 cm²
Answer:
x=32 degrees
Step-by-step explanation:
We know 180 degrees in triangle
That box means 90 degrees so...
58+90=148
180-148=32
x=32 degrees
Answer:
-2.5625
Step-by-step explanation:
<u>1)[-1/4/5] × [-7/10+0.95] - [-2/1/4] turn that into improper fractions</u>
2 1/4=9/4
which is 1 4/5(-7/10+0.95)9/4
<u>2) 1 4/5(-7/10+0.95)= 0.3125</u>
which is 0.3125-9/4
<u>3)Make into decimal form</u>
9/4 equals 2.25
which is 0.3125-2.25
which all equals -2.5625
The rate at which the water from the container is being drained is 24 inches per second.
Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.
Looking at the image we can use similar triangle propert to derive the relationship:
r/R=h/H
where dh/dt=2.
Thus r/5=2/5
r=2 inches
Now from r/R=h/H
we have to write with initial values of cone and differentiate:
r/5=h/5
5r=5h
differentiating with respect to t
5 dr/dt=5 dh/dt
dh/dt is given as 2
5 dr/dt=5*-2
dr/dt=-2
Volume of cone is 1/3 π
We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.
Thus
dv/dt=1/3 π(2rh*dr/dt)+(
*dh/dt)
Putting the values which are given and calculated we get
dv/dt=1/3π(2*2*2*2)+(4*2)
=1/3*3.14*(16+8)
=3.14*24/3.14
=24 inches per second
Hence the rate at which the water is drained from the container is 24 inches per second.
Learn more about differentaiation at brainly.com/question/954654
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