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topjm [15]
3 years ago
8

Engineers want to design brakes that will reduce stopping distances by 10%. How would this change the equation relating speed s,

friction f, and stopping distance d?
s=√30fd
Mathematics
1 answer:
AlekseyPX3 years ago
8 0
For the answer to the question above,  we will use this formula to solve this problem
<span>d = kv^2 </span>

<span>plugging in, </span>
<span>4.2 = k*10^2 </span>
<span>k = 0.042 </span>

<span>d = 0.042v^2 </span>

<span>the revoised equation will be </span>
<span>d = 0.9*0.042v^2 , i.e. </span>

<span>d = 0.0378v^2 

I hope my answer helped you</span>
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Determine the point on the graph of the linear equation 2x + 5y = 19, whose ordinate is 1 1/2 times its abscissa.
rosijanka [135]

Answer:

(2, 3)

Step-by-step explanation:

2x + 5y = 19

5y = -2x + 19

y = -\frac{2}{5} x + \frac{19}{5}

P(abscissa, ordinate)

P(x, 1.5x)

P(2, 3)

3 = -\frac{2}{5} (2) + \frac{19}{5}

3 = -\frac{4}{5} + \frac{19}{5}

3 = 15/5

3 = 3

8 0
3 years ago
Work out the value of angle x
AleksandrR [38]

Answer:

Its an Isosceles triangle. The two bases are equal

So

x= 180-(62+62)

x=56°.

5 0
3 years ago
Read 2 more answers
A three-digit number ends in number 7. If you put the number 7 in the first position, the number will increase by 324. Find the
liq [111]

Answer:

<u>The original three-digit number is 417</u>

Step-by-step explanation:

Let's find out the solution to this problem, this way:

x = the two digits that are not 7

Original number = 10x+7

The value of the shifted number = 700 + x

Difference between the shifted number and the original number = 324

Therefore, we have:

324 = (700 + x) - (10x + 7)

324 = 700 + x - 10x - 7

9x = 693 - 324 (Like terms)

9x = 369

x = 369/9

x = 41

<u>The original three-digit number is 417</u>

5 0
3 years ago
A cactus casts a shadow 33 feet long. At the same time of day, Liam who is 6 feet tall, casts a shadow 9 feet long, as shown.
castortr0y [4]

Answer:

here's the solution :-

1.) =》the base of the larger triangle is the length of shadow formed by cactus .

so, length of cactus is : 33 feet.

2.) now, jn the smaller triangle formed by liam and it's shadow : -

=》

since both triangle form 90° the bases of both the larger and smaller triangles are parallel , so the base angles of larger triangle = corresponding base angles of the smaller triangle

hence, the both triangles are similar

( by A.A postulate )

now since the both triangles are similar, the the sides will be proportional ,

=》

\frac{9}{33}  =  \frac{6}{x}

=》

x =  \frac{6}{9}  \times 33

=》

x = 2 \times 11

=》

x = 22

so, length of the cactus = x = 22 feet

6 0
3 years ago
The perimeter of an airplane ticket is 32 centimeters. The area is 60 square centimeters. What are the dimensions of the ticket
victus00 [196]
We model the ticket as a rectangle.
 For this case what you should know is that the perimeter of the rectangle is given by:
 P = 2w + 2l
 The area of the rectangle is given by:
 A = w * l
 In both cases:
 w: width
 l: long
 We have the following system of equations:
 32 = 2w + 2l
 60 = w * l
 Solving the system we obtain:
 The dimensions of the ticket are:
 (10 cm) * (6 cm)
 Answer:
 the dimensions of the ticket are:
 (10 cm) * (6 cm)
 Note: see attached image for system solution

8 0
3 years ago
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