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Volgvan
3 years ago
7

A 20-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the

building at 2 ?feet/second, how fast is the top of the ladder moving down when the foot of the ladder is 3 feet from the? wall?The top of the ladder is moving down at a rate of _____ ?feet/second when the foot of the ladder is 3 feet from the wall. ?(Round to the nearest thousandth as? needed.)

Mathematics
1 answer:
zaharov [31]3 years ago
7 0

Answer: The top of the ladder is moving down at a rate of 0.303 feet / second

Step-by-step explanation: Please see the attachments below

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(50 points) A diameter of a circle has endpoints P(-10, -2) and Q(4,6)
Gala2k [10]

Answer:

Step-by-step explanation:

The center of the circle is the midpoint of the two end points of the diameter.

Formula

Center = (x2 + x1)/2 , (y2 + y1)/2

Givens

x2 = 4

x1 = - 10

y2 = 6

y1 = - 2

Solution

Center = (4 - 10)/2, (6 - 2)/2

Center = -6/2 , 4/2

Center = - 3 , 2

So far what you have is

(x+3)^2 + (y - 2)^2 = r^2

Now you have to find the radius.

You can use either of the endpoints to find the radius.

find the distance from (4,6) to (-3,2)

r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )

x2 = 4

x1 = -3

y2 = 6

y1 = 2

r^2 = ( (4 - -3)^2 + (6 - 2)^2 )

r^2 = ( (7)^2 + 4^2)

r^2 = ( 49 + 16)

r^2 = 65

Ultimate formula is

(x+3)^2 + (y - 2)^2 = 65

The radius is √65 = 8.06

8 0
3 years ago
The letters of ALABAMA and LAMB were placed on separate slips of paper and put into two different bags.
labwork [276]

Answer:

45%

Step-by-step explanation:

There are 5 A's out of a total of 11 letters which is 5/11. 5/11 as a decimal is 0.45 which, as a percentage, is 45%

5 0
2 years ago
Point Q is located at (-4, 6). Point R is located at (8, 6) What is the distance from point Q to point R?
Stels [109]

Answer:

12 units

Step-by-step explanation:

Notice that as we go from Q to R, x (the horizontal distance) increases by 12 and y (the vertical distance) does not change.  Thus, the distance between the two points is merely the horizontal distance, 12 units.

8 0
3 years ago
Jose's mom gave him
goldenfox [79]
The flowers cost $12

40.00-10.75=$29.25
$29.25-3.25=$26.00
$26.00-$12.00=14
5 0
2 years ago
Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels
GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}

Cross multiply

350v_{b} = 140(v_{b} + 30)\\\\350v_{b} = 140v_{b} + 4200\\\\350v_{b} -140v_{b} = 4200\\\\210v_{b} = 4200

Divide both sides by 210

\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph

4 0
3 years ago
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