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Vilka [71]
3 years ago
9

HELPPPP PLEASEEEEEEEEE

Mathematics
2 answers:
Artist 52 [7]3 years ago
6 0

Answer:

3

Step-by-step explanation:

Plug in 2 for x:

5-2 - 3

olganol [36]3 years ago
6 0

Answer:

3

Step-by-step explanation:

f(x)= 5 - x

f(2) = 5 - 2 = 3

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A 12 foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the
ira [324]

Using Pythagoras theorem, the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.                      

Let distance from the wall to the foot of the ladder is 'x' feet and the height of the top of the ladder is 'y' feet.

Pythagoras theorem, x^{2} + y^{2} = (12)^{2}       --->(1)

Given,\frac{dx}{dt}= 2feet/second   at x=3

Put x=3 in Pythagoras theorem equation (1)

(3)^{2} + y^{2} = 144

         y^{2} = 144 - 9

        y^{2}  =  135

        y = 11.61

Derive equation (1) w.r.t to 't'

2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 0                ---->(2)

substitute the value of 'x', 'dx/dt' and 'y' in equation (2), we get the fast of the top of the ladder moving down when the foot of the ladder is 3 feet from the wall

2(3)(2) + 2 (11.61)\frac{dy}{dt}  = 0

12 + 23.22 \frac{dy}{dt}  = 0

                  \frac{dy}{dt}= \frac{-12}{23.22}

                  \frac{dy}{dt} = -0.518

Hence,  using Pythagoras theorem the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.  

Learn more about Pythagoras theorem here

brainly.com/question/21511305  

#SPJ4    

     

5 0
2 years ago
A sample of 80 high school seniors,45% were are female were surveyed as to wheather or not they are employed outside of school ,
Nataliya [291]
The first thing we must do for this case is find the number of boys surveyed.
 We have then:
 (1-0.45) * (80) = 44
 We are now looking for the number of boys employed.
 We have then:
 (1-0.25) * (44) = 33
 Answer:
 
there are 33 boys employed.
4 0
4 years ago
Use Cramer's rule to solve the following system of equations.
sp2606 [1]
5x + 3y = 7> (4) 5x + (4) 3y = (4) 7 4x + 5y = 3> (-5) 4x + (-5) 5y = (-5) 3 20y + 12y = 28 -20x -25y = -15 (X's cross out) 12y - 25y = 28 -15 -13y = 13 Y = -1 (Plug in for y) 5x + 3(-1) = 7 5x -3 =7 (add 3 to 7) 5x = 10 (divide by 5) X= 2 Ordered Pair= (2, -1)
4 0
3 years ago
You are making hair bows out of ribbon. You have 3/4 yard of ribbon and each bow takes 1/8 of a yard of ribbon. How many bows ca
Svetlanka [38]

Answer:

6 bows

Step-by-step explanation:

First find a common denominator. In this case, it would be eight. So now you would multiply your numerator by however much you multiplies your denominator.

3/4 would become 6/8.

6/8 divided by 1/8 is 6.

8 0
4 years ago
I dont know how to do this pls help ​
Alecsey [184]

Answer:

1) 225

2) 2304

Step-by-step explanation:

1)

Use geometric mean of legs

x = \sqrt{(16+9)^2 * 9^2} = \sqrt{25^2 * 9^2}  = 25 * 9 = 225

2)

Use geometric mean of altitude

x = \sqrt{(100-36)^2 * 36^2} = \sqrt{64^2 * 36^2} = 64 * 36 = 2304

5 0
3 years ago
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