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Nonamiya [84]
2 years ago
12

If you have the answer, please show how you got it! Thanks❣️

Mathematics
2 answers:
Vitek1552 [10]2 years ago
7 0
It’s 3 wish you luck on your assignment ~JyMarkus
juin [17]2 years ago
6 0

Answer:

9pi approx= 28.3sqmm

Step-by-step explanation:

The question says the diameter is 6mm. So the radius is 3mm. They are asking for the area. It says area of the nail. But since no other measurements are given it must mean, area of the nailhead.

Area of a circle is pi×r^2

=pi(3^2)

=9pi

This is the exact answer. 9pi sqmm

or if they want a decimal approximation it is 28.3 sqmm

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Use the chain rule calculate dw/dr , dw/ds and dw/dt
Liono4ka [1.6K]

Answer:

\frac{dw}{dr} = \frac{8\cdot r}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}, \frac{dw}{ds} = \frac{10\cdot s}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}, \frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}

Step-by-step explanation:

We proceed to derive each expression by rule of chain. Let be w = \ln (x+2\cdot y + 3\cdot z), x = r^{2}+t^{2}, y = s^{2}-t^{2} and z = r^{2}+s^{2}:

\frac{dw}{dr} = \frac{\frac{dx}{dr}+2\cdot \frac{dy}{dr} +3\cdot \frac{dz}{dr}  }{x+2\cdot y + 3\cdot z}

\frac{dx}{dr} = 2\cdot r

\frac{dy}{dr} = 0

\frac{dz}{dr} = 2\cdot r

\frac{dw}{dr} = \frac{8\cdot r}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}

\frac{dw}{dr} = \frac{8\cdot r}{4\cdot r^{2}-t^{2}+5\cdot s^{2}} (1)

\frac{dw}{ds} = \frac{\frac{dx}{ds}+2\cdot \frac{dy}{ds} +3\cdot \frac{dz}{ds}  }{x+2\cdot y + 3\cdot z}

\frac{dx}{ds} = 0

\frac{dy}{ds} = 2\cdot s

\frac{dz}{ds} = 2\cdot s

\frac{dw}{ds} = \frac{10\cdot s}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}

\frac{dw}{ds} = \frac{10\cdot s}{4\cdot r^{2}-t^{2}+5\cdot s^{2}} (2)

\frac{dw}{dt} = \frac{\frac{dx}{dt}+2\cdot \frac{dy}{dt} +3\cdot \frac{dz}{dt}  }{x+2\cdot y + 3\cdot z}

\frac{dx}{dt} = 2\cdot t

\frac{dy}{dt} = -2\cdot t

\frac{dz}{dt} = 0

\frac{dw}{dt} = -\frac{2\cdot t}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}

\frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}} (3)

7 0
3 years ago
Which equation represents a circle with a center at (2, -8) and a radius of 11?
SashulF [63]

Answer:

(X-2)^2 + (y+8)^2=121

6 0
4 years ago
If 12 workers are needed to run 4 machines, how many workers are needed to run 20 machines?
Nitella [24]
\frac{workers}{machines} =\frac{12}{4}=\frac{x}{20}\\
12*20=4*x\\
x=\frac{12*20}{4}=60\ workers
5 0
3 years ago
Erinn wrote the equation –5x + 4y = 32 to represent her hourly wage (y) and how this wage has changed during each year that she
Ray Of Light [21]

Answer:

The rate of change in Erinn's hourly wage per year is 1.25\$\ hour/year

Step-by-step explanation:

we have that

x ----> the time in years that she worked at a company

y ----> represent the hourly wage

-5x+4y=32 ----> linear equation that represent the situation

Solve for y

4y=5x+32

y=(5/4)x+32/4

y=1.25x+8

The slope m of the linear equation is

m=1.25\$\ hour/year

The rate of change in Erinn's hourly wage per year is equal to the slope of the linear equation

so

The rate of change in Erinn's hourly wage per year is 1.25\$\ hour/year

5 0
3 years ago
Read 2 more answers
12x – 18<br> Use the gcf to factor each expression
sleet_krkn [62]

Answer:

Step-by-step explanation:

6(2x - 3)

GCF: 6

3 0
3 years ago
Read 2 more answers
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