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CaHeK987 [17]
3 years ago
13

The base of a circular fence with radius 10 m is given by x = 10cos(t), y = 10sin(t). the height of the fence at position (x, y)

is given by the function h(x, y) = 2 + 0.01(x2 - y2), so the height varies from 1 m to 3 m. suppose that 1 l of paint covers 100 m2. determine how much paint you will need if you paint both sides of the fence. (give your answer correct to two decimal places.)
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0
The average height of the fence is 2 m; its length is 20π m. So, its 2-sided area is
  A = 2*(2 m)*(20π m) = 80π m² ≈ 251 m²

At 1 L/(100 m²), it will take 2.51 L of paint to paint both sides.
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SOMEONE HELP ME WITH THISS
Katen [24]

Answer:

/_ 12 is the angle of depression from the firefighter to the second story window.

Step-by-step explanation:

Hope it helps!

<em>#CarryOnLearning</em><em> </em>

7 0
2 years ago
Read 2 more answers
|1/2b-8|=|1/4b-1|<br> b=____ and ____
Deffense [45]

Answer:

  b = 12 and 28

Step-by-step explanation:

The absolute value equation |1/2b-8| = |1/4b-1| resolves to a piecewise linear function with three pieces. There are two solutions.

<h3>Domains</h3>

The absolute value function on the left has a turning point where its value is zero:

  1/2b -8 = 0

  b -16 = 0

  b = 16

The absolute value function on the right has a turning point where its value is zero:

  1/4b -1 = 0

  b -4 = 0

  b = 4

For b > 16, both absolute value functions are identity functions. In this domain, the equation is ...

  1/2b -8 = 1/4b -1

For 4 < b < 16, the function on the left negates its argument, so the equation in this domain is ...

  -(1/2b -8) = 1/4b -1

For b < 4, both functions negate their arguments, so the equation in this domain is ...

  -(1/2b -8) = -(1/4b -1)

For the purpose of finding the value of b, this is effectively identical to the equation for b > 16. (The value of b does not change if we multiply both sides of the equation by -1.)

<h3>Solutions</h3>

<u>Domain b < 4 ∪ 16 < b</u>

  1/2b -8 = 1/4b -1

  2b -32 = b -4 . . . . . . . . multiply by 4

  b = 28 . . . . . . . . . . . . add 32-b to both sides

This solution is in the domain of the equation, so is one of the solutions to the original equation.

<u>Domain 4 < b < 16</u>

  -(1/2b -8) = 1/4b -1 . . . . equation in this domain

  -2b +32 = b -4 . . . . . . multiply by 4

  36 = 3b . . . . . . . . . . . add 2b+4 to both sides

  12 = b . . . . . . . . . . . . divide by 3

This solution is in the domain of the equation, so is the other solution to the original equation.

<h3>Graph</h3>

For the purposes of the graph, we have define the function g(b) to be the difference of the two absolute value functions. The solutions are found where g(x) = 0, the x-intercepts. The graph shows those to be ...

  b = 12  and  b = 28

__

<em>Additional comment</em>

Defining g(b) = |1/2b-8| -|1/4b-1|, we can rewrite it as ...

  g(b)=\begin{cases}7-\dfrac{1}{4}b&\text{for }b < 4\\-\dfrac{3}{4}b+9&\text{for }4\le b < 16\\\dfrac{1}{4}b-7&\text{for }16\le b\end{cases}

Then the solutions are the values of b that make g(b) = 0.

4 0
2 years ago
Select the undefined term that best defines the arrow pictured<br><br> point<br> line<br> plane
MArishka [77]
The answer is B. Line.

That is because a point is just a dot and lane is represented by a rectangle or a parallelogram.

Hope this helps :)
7 0
3 years ago
Read 2 more answers
On a manufacturer's assembly line, 3% of its merchandise comes off defective. If the company has 354 defective items, how many t
evablogger [386]

Answer: this is the steps to working the problem and the answer is 54: 3% means 3 out of each 100. if you have 100 items, 3% is just 3. You need more than 100 times as many (you want 354), so x must be more than 100 * 100, right? 3% of 10.62 is less than 1, and the problem says there are 354 :-)

Step-by-step explanation:

6 0
3 years ago
Sarah runs at a rate of 8 miles per hour what is her speed at feet per second
LekaFEV [45]

Answer:

i worked some of it out

Step-by-step explanation:

1 mile = 5,280ft

1 hour = 8 miles

30 min = 4 miles

15min = 2 miles

7.5 (7min and 30 sec) = 1 mile

3.75(225 sec) =1/2 mile = 2,640ft

0.25(quarter of a mile) = 1,320ft

i just completely lost myself but if this helps then great! sorry if i wasted your time

4 0
3 years ago
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