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Tasya [4]
3 years ago
15

A building has 4 stories that are each 15 feet high. A scale drawing has the height of the building at 5 inches.

Mathematics
2 answers:
zlopas [31]3 years ago
8 0
Every 1 inch is 12 feet.
Sindrei [870]3 years ago
7 0
1) a 
<span>The building is 4*15 = 60 feet = 720 inches high. The ratio is 720/5 = 144 </span>

<span>2) b </span>
<span>The ratio is 9/(1/4) = 36. So 1 foot = 12 inches and 12/36 = 1/3 </span>

<span>3) c </span>
<span>With a ratio of 1:72, a 7.5 inch wingspan represents 7.5*72 = 45 feet </span>

<span>I hope this helps!</span>
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Next time, please share the possible answer choices.

Since the slope and y-intercept are given here, we can immediately write out the slope-intercept form of the equation of this line:

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If u is a unit vector, find u · v and u · w. (assume v and w are also unit vectors.) equilateral triangle
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Evaluate the integral Integral ∫ from (1,2,3 ) to (5, 7,-2 ) y dx + x dy + 4 dz by finding parametric equations for the line seg
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\vec F(x,y,z)=y\,\vec\imath+x\,\vec\jmath+3\,\vec k

is conservative if there is a scalar function f(x,y,z) such that \nabla f=\vec F. This would require

\dfrac{\partial f}{\partial x}=y

\dfrac{\partial f}{\partial y}=x

\dfrac{\partial f}{\partial z}=3

(or perhaps the last partial derivative should be 4 to match up with the integral?)

From these equations we find

f(x,y,z)=xy+g(y,z)

\dfrac{\partial f}{\partial y}=x=x+\dfrac{\partial g}{\partial y}\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

f(x,y,z)=xy+h(z)

\dfrac{\partial f}{\partial z}=3=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=3z+C

f(x,y,z)=xy+3z+C

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\displaystyle\int_{(1,2,3)}^{(5,7,-2)}y\,\mathrm dx+x\,\mathrm dy+3\,\mathrm dz=\int_{(1,2,3)}^{(5,7,-2)}\nabla f(x,y,z)\cdot\mathrm d\vec r

=f(5,7,-2)-f(1,2,3)=\boxed{18}

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