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Yakvenalex [24]
4 years ago
14

Please could someone help me?​

Mathematics
1 answer:
Bogdan [553]4 years ago
7 0

if you have a scientific calculator type in y=4/3x+4

and you should find your answer

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At a playground, a child slides down a slide that makes a 42° angle with the horizontal direction. the coefficient of kinetic fr
enyata [817]
Assuming metric units, metre, kilogram and seconds

Best approach: draw a free body diagram and identify forces acting on the child, which are:
gravity, which can be decomposed into normal and parallel (to slide) components 
N=mg(cos(theta)) [pressing on slide surface]
F=mg(sin(theta))  [pushing child downwards, also cause for acceleration]
   m=mass of child (in kg)
   g=acceleration due to gravity = 9.81 m/s^2
   theta=angle with horizontal = 42 degrees

Similarly, kinetic friction is slowing down the child, pushing against F, and equal to
Fr=mu*N=mu*mg(cos(theta))
  mu=coefficient of kinetic friction = 0.2

The net force pushing child downwards along slide is therefore
Fnet=F-Fr
=mg(sin(theta))-mu*mg(cos(theta))
=mg(sin(theta)-mu*cos(theta))   [ assuming sin(theta)> mu*cos(theta) ]

From Newton's second law,
F=ma, or 
a=F/m
=mg(sin(theta)-mu*cos(theta))  /  m
= g(sin(theta)-mu*cos(theta))   [ m/s^2]

In case imperial units are used, g is approximately 32.2 feet/s^2.
and the answer will be in the same units [ft/s^2] since sin, cos and mu are pure numbers.



3 0
4 years ago
Read 2 more answers
VARIABLE ON BOTH SIDES. PLEASE HELP! 40 PTS<br><br> 2x + 4 = 3 (x-2) + 2 show your work
Angelina_Jolie [31]

2x+4= 3x-6+2

2x+4=3x-4

2x-3x+4=3x-3x-4

-x+4=-4

-x+4-4= -4-4

-x=-8

Need to multiply by -1 for x to be positive and also for -8

-1(-x)= -1(-8)

x=8

5 0
3 years ago
Read 2 more answers
Consider the sequence of steps to solve the equation: 3(x - 4) + 5x 9x - 36
Zielflug [23.3K]

Answer:

Distributive Property

Step-by-step explanation:

You are distributing 3 to x and -4

3 0
3 years ago
Factor the following trinomial: x2 + 8x + 15.
Alina [70]

Answer:

(x + 3) (x + 5)

3 0
3 years ago
The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times.
Free_Kalibri [48]

Answer with Step-by-step explanation:

we are given a event of rolling as die several times:

 Outcome:                                         [1 2 3 4 5 6]

Number of times outcome occurred: [10    6 4 8 6 6]

We have to find the experimental probability of rolling a 1 or a 5

 number of times 1 or 5 came up= 10+6=16

and total number of outcomes=  10+6+4+8+6+6=  40

P( rolling a 1 or a 5)=  

number of times 1 or 5 came up/ total number of outcomes

=   16/40

= 2/5

Hence, the experimental probability of rolling a 1 or a 5 is:

    2/5

3 0
4 years ago
Read 2 more answers
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