Answer:
dv = surface area * dh
so
dv/dt = surface area * dh/dt
width at surface = 40 + (80-40)(30/40)
= 40 + 30 = 70 cm = 0.70 m
so
surface area = 9 * .7 = 6.3 m^2
so
.3 m^3/min = 6.3 m^2 * dh/dt
and
dh/dt = .047 meters/min or 4.7 cm/min
Step-by-step explanation:
9514 1404 393
Answer:
47 -6√10
Step-by-step explanation:
As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.
(a -b)² = a² - 2ab + b²
(√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²
= 2 - 6√10 + 3²(5)
= 47 -6√10
__
<em>Check</em>
√2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals
(√2-3√5)² ≈ 28.02633
47 -6√10 ≈ 28.02633
Answer:
there is no collision between the particles
Step-by-step explanation:
for the first particle
x1=3sin t, y1 = 2 cos t, 0 ≤ t ≤ 2π
for the second particle
x2 = -3 + cos t, y2 = 1 + sin t, 0 ≤ t ≤ 2π
then for the collision
x1=x2 → 3*sin t = -3 + cos t → sin t= -1 + (cos t)/3→ 1+ sin t = (1/3)cos t
y1=y2 → 1 + sin t = 2 cos t → (1/3)cos t = 2 cos t →(1/3) = 2
since 1/3 ≠ 2 there is no collision between the particles
Answer:
Step-by-step explanation:
2ft=24in
The first day 24(1/6)=4in fell
The second day 24(7/12)=14in fell
The third day 24-4-14=6in fell
Answer:
binder: Liquid substance used in paint and other media to bind particles of pigment together.
fresco: Where pigments are mixed with water and then applied to a plaster support, usually a wall or a ceiling.
gouache: A type of watercolor in which white pigment is added creating a duller effect, and a tinted feel.
oil: Painting medium where pigments are binded using oils, usually linseed oil.
painting media: Material made of three components; pigment,vehicle, and binder
pigment: Ground up solids that contain color the color in paint.
tempera: A water based painting medium made with egg yolk, often used to paint frescos and panels.
vehicle: Adjusts the viscosity of the paint.
watercolor: Pigment that is mixed with arabic and gum, and mostly water before it is applied to the paper.
Painting Media
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Step-by-step explanation:
