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2 years ago

Given: circle O with tangent AB mBC= 2x -16; mCD = x+40; mDE = x; mEB = 60 find the x

Mathematics

1 answer:

murzikaleks [220]2 years ago

6 0

Answer:

Step-by-step explanation:

All the given arcs cover the entire circle circumference, so their measures add up to a full 360.

(2x - 16) + (x + 40) + x + 60 = 360

4x + 84 = 360

4x = 276

x = 69

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A packing crate measures 3 feet by 12 feet by 7 feet. what is the area of its smallest side

8090 [49]

The packing crate measures 3 feet by 12 feet by 7 feet (volume). To find the area of the smallest side, multiply the two smaller numbers

3 x 7 = 21

21 feet² is the area of the smallest side

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2 years ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function f, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

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Integrate both sides of the first equation with respect to x :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to y :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with f , then differentiate both sides with respect to z :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to z :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

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2 years ago

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2 years ago

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Orlov [11]

Answer: no Tony is not correct It is less than 5 hundred dollars.

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2 years ago

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A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?

Phantasy [73]

$216 x 0.08 = $17.28.
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2 years ago