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To convert from km²/h² to m²/s², you can use the conversion factors for kilometers to meters and hours to seconds. Since 1 km = 1,000 m, you square this conversion factor for area, resulting in (1 \text{ km}^2 = (1,000 \text{ m})^2 = 1,000,000 \text{ m}^2). For time, since 1 hour = 3600 seconds, you square this as well, giving (1 \text{ h}^2 = (3600 \text{ s})^2 = 12,960,000 \text{ s}^2). Therefore, to convert km²/h² to m²/s², multiply by (\frac{1,000,000}{12,960,000}), or approximately (0.0771605).
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What is the surface are of a cylindrical tank when the h equals 3m and radius 1m?
8pi m2 ~ 25.1327412 m2
What is the surface area of a rectangular prim with base 4 m by 5 m and height 8 m?
Surface area = 2*(L*B + B*H + H*L) = 2*(4*5 + 5*8 + 8*4) = 2*(20 + 40 + 32) = 2*92 = 184 m2
How do you convert vertex form to standard form in algebra?
To convert a quadratic equation from vertex form, (y = a(x - h)^2 + k), to standard form, (y = ax^2 + bx + c), you need to expand the equation. Start by squaring the binomial: ( (x - h)^2 = x^2 - 2hx + h^2 ). Then, multiply by (a) and add (k) to obtain (y = ax^2 - 2ahx + (ah^2 + k)), where (b = -2ah) and (c = ah^2 + k). This results in the standard form of the quadratic equation.
How do you convert a vertex form equation of a parabola 2 standard form equation?
To convert a vertex form equation of a parabola, given as ( y = a(x - h)^2 + k ), to standard form ( y = ax^2 + bx + c ), expand the squared term: ( (x - h)^2 = x^2 - 2hx + h^2 ). Then, multiply through by ( a ) and combine like terms: ( y = ax^2 - 2ahx + (ah^2 + k) ). The coefficients ( a ), ( b = -2ah ), and ( c = ah^2 + k ) represent the standard form parameters.
How do you differentiate x over 2?
f(x) = x/2Then the differential is lim h->0 [f(x+h) - f(x)]/h= lim h->0 [(x+h)/2 - x/2]/h= lim h->0 [h/2]/h= lim h->0 [1/2] = 1/2f(x) = x/2Then the differential is lim h->0 [f(x+h) - f(x)]/h= lim h->0 [(x+h)/2 - x/2]/h= lim h->0 [h/2]/h= lim h->0 [1/2] = 1/2f(x) = x/2Then the differential is lim h->0 [f(x+h) - f(x)]/h= lim h->0 [(x+h)/2 - x/2]/h= lim h->0 [h/2]/h= lim h->0 [1/2] = 1/2f(x) = x/2Then the differential is lim h->0 [f(x+h) - f(x)]/h= lim h->0 [(x+h)/2 - x/2]/h= lim h->0 [h/2]/h= lim h->0 [1/2] = 1/2
What is the surface are of a cylindrical tank when the h equals 3m and radius 1m?
8pi m2 ~ 25.1327412 m2
The area of a right triangle is 36 square meters The height is twice as long as the base How long is the shorter leg of the triangle?
A = .5*h*b = 36 m2 h = 2b substitute for h in the first equation with the second equation: .5*(2b)*b = 36 m2 b2 = 36 m2 b = 6 m
The area of a triangle with a base of 18m and a height of 20m?
The formula for the area of a triangle is A = 1/2b x h. A = 1/2*18m*20m = 180 m2
What is the surface area in square meters of a rectangular prism with length 5 m width 12 m and height 6 m?
Surface area = 2*(L*W + W*H + H*L) = 324 m2
What is the surface area of a rectangular prim with base 4 m by 5 m and height 8 m?
Surface area = 2*(L*B + B*H + H*L) = 2*(4*5 + 5*8 + 8*4) = 2*(20 + 40 + 32) = 2*92 = 184 m2
The surface area of a cylinder is 1 m2. What could its radius and its height be?
Combining these parts we get the formula: area = 2 π r 2 + 2 π r h where: π is Pi, approximately 3.142 r is the radius of the cylinder h height of the cylinder For a detailed look at how this formula is derived
How do you convert vertex form to standard form in algebra?
To convert a quadratic equation from vertex form, (y = a(x - h)^2 + k), to standard form, (y = ax^2 + bx + c), you need to expand the equation. Start by squaring the binomial: ( (x - h)^2 = x^2 - 2hx + h^2 ). Then, multiply by (a) and add (k) to obtain (y = ax^2 - 2ahx + (ah^2 + k)), where (b = -2ah) and (c = ah^2 + k). This results in the standard form of the quadratic equation.
In Calculus what is the formula for the described function A if a rectangle has area 12 m2 and the perimeter P of the rectangle is expressed as a function of the length x of one of its sides?
A=b*h area = base (times) height P=2b + 2h perimeter = 2 (times) base (plus) 2 ( times) height A= b*h 12 = b*h 12/b = h let x = b h = 12/x since x = b and h = 12/x therefore P = 2x + 2(12/x)
How do you convert a vertex form equation of a parabola 2 standard form equation?
To convert a vertex form equation of a parabola, given as ( y = a(x - h)^2 + k ), to standard form ( y = ax^2 + bx + c ), expand the squared term: ( (x - h)^2 = x^2 - 2hx + h^2 ). Then, multiply through by ( a ) and combine like terms: ( y = ax^2 - 2ahx + (ah^2 + k) ). The coefficients ( a ), ( b = -2ah ), and ( c = ah^2 + k ) represent the standard form parameters.
How you calculate cylinder in square feet?
Measure the radius and height of the cylinder in feet (or other units and then convert). Total surface area = 2*pi*r2 + 2*pi*r*h = 2*pi*r*(r+h) square feet.
How many cubic meters in a pool diameter 224cm depth 76cm?
To calculate the volume of a pool in cubic meters, you can use the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height. Convert the diameter to radius by dividing by 2 (224 cm / 2 = 112 cm). Then, plug in the values: V = π * (112 cm)^2 * 76 cm. After calculating, convert the result to cubic meters (1 m^3 = 1,000,000 cm^3).
Convert 750mph to kmperhour?
1207 km/h
