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lubasha [3.4K]
3 years ago
5

Find the height of a cone with a diameter of 12 m whose volume is 226m Use 3.14 for pi and round your answer to the nearest mete

r​

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
5 0

Answer:

6m

Step-by-step explanation:

h=3(/V πr^2)=3(226/ π·6^2)≈5.99484

round to 6

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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 5 sin(xy), (0, 2) maximu
Ahat [919]

Answer with Step-by-step explanation:

We are given that

f(x,y)=5 sinxy

Point=(x,y)=(0,2)

We have to find the maximum rate of change of f at given point.

f_x(x,y)=5ycos(xy)

f_x(0,2)=5(2)cos0=10

f_y(x,y)=5xcosxy

f_y(0,2)=5(0)cos0=0

\Delta f(0,2)=f_x(0,2)+f_y(0,2)=10i+0j

Maximum rate of change of f at point (0,2)=\mid \Delta f(0,2)\mid=\sqrt{x^2+y^2}

Where x=Coefficient of i

y=Coefficient of j

By using the formula

Maximum rate of change of f at point (0,2)=\sqrt{(10)^2+0}=10

Direction of maximum rate of change of f=\Delta\har{f}=\frac{\Delta f(0,2)}{\mid\Delta f(0,2)\mid}=\frac{10i}{10}=i

7 0
3 years ago
A balloon is 300 feet above a cliff. The angle of depression to the cliff edge is 40° 30'. What is the horizontal distance from
Daniel [21]

tan 40.5 = 300/x

x = 300/(tan 40.5)

x = 351

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8 0
3 years ago
The following table shows the assets and liabilities of the Smith family in 2005 and 2009.
Marrrta [24]
2005: 
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Liability = 30,000 + 8,000 = 38,000

2009
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Liability  = 18,000 + 5,000 = 23,000

Assets decreased by 7,000. From 225,000 to 218,000
Liabilities decreased by 13,000. From 38,000 to 23,000

<span>a. From 2005 to 2009, both assets and liabilities decreased. </span>
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3 years ago
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It is 5 1/9 after being simplified
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3 years ago
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24y - 22 = 4 ( 6y - 6 )
Pie
I don’t think their is a solution to this equation
because if you expand the second half it is= 24y-24 which would make the equation
- 24y-22=24y-24
and because the number next to the y is the same on both sides, no matter what y is if we subtract different numbers from each side we will never get the same value for each side of the =
5 0
3 years ago
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