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daser333 [38]
3 years ago
9

A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder is 7 feet from the wall. The

foot of the ladder begins to slide at a rate of 2 ft/sec, causing the top of the ladder to slide down the wall. The location of the foot of the ladder at time t seconds is given by the parametric equations (7 +2t, 0). The location of the top of the ladder will be given by parametric equations (0, y(t)). The formula for y(t)=√[625−(7+2t)²]. The domain of t values for y(t) ranges from 0 to 9.
Calculate the average velocity of the top of the ladder on each of these time intervals (correct to three decimal places):
a) [0,2]
b) [2,4]
c) [6,8]
d) [8,9]

Mathematics
1 answer:
lbvjy [14]3 years ago
5 0

Answer:

Step-by-step explanation:

find the attached below

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Why is the answer B? Plz explain.
Ivanshal [37]

Step One

Develop a formula for the perimeter.


Argument

What you see is a semicircle going upwards and another one going downwards. Two semicircles =1 circle.


The "perimeter" [Circumfrence] of a whole circle = 2*pi*r


We are told that whatever you call this the perimeter is 8pi + 16


Step Two

Set up the equation

8pi + 16 = 2*pi*r + 4r Including the line connecting these two.


Step Three

Take out the common factors on the left and right.


8(pi + 2) = 2r(pi + 2) Divide both sides by pi + 2

8 = 2r Divide by 2

4 = r


Sorry. I didn't know the meaning of perimeter. Mathmate is perfectly correct.

6 0
3 years ago
Given: m∠LOI=38° m∠JOP=84° Find: m∠JKP
grigory [225]

Answer:

84°

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

Given that:

  • ∠LOI=38°
  • ∠JOP=84 °

As we can  see from the figure that ∠JOP and ∠JKP are on the same segment JP. Hence, ∠JOP and ∠JKP are congruent and the angle of ∠JKP is 84°

8 0
3 years ago
What is the volume of the​ cylinder? Use 3.14 for .<br> 4 cm<br> 11 cm
Genrish500 [490]

Answer:

Use the formula,

Volume of cylinder =πr²h

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>3</em><em>.</em><em>1</em><em>4</em><em>×</em><em>1</em><em>6</em><em>×</em><em>1</em><em>1</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>5</em><em>5</em><em>2</em><em>.</em><em>6</em><em>4</em><em> </em><em>cm³</em>

3 0
2 years ago
I need help on thiss​
Ratling [72]
B because it is between x: 4 and 6. And it is linear and decreasing
6 0
3 years ago
Sally made a box to hold her jewlery collection. She used 42 inches of wood to build the sides of the box. If the box is 9 inche
Juliette [100K]
The length is 12, because if it's 9 inches wide it has two sides of 9 inches which is 18. Then subtract that from the intial value 42 to get 24. After, you divide 24 by 2 due to there being 2 sides of the box and 24 is the sum of both sides. Hopethis helps!
8 0
4 years ago
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