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2 years ago

Please answer all of them and show your work please!

Mathematics

2 answers:

sattari [20]2 years ago

3 0

Answer:

br=uh

Step-by-step explanation:

u need our help 4 this homework? Just do it yourself, though i would do this for 270 points.

Murljashka [212]2 years ago

3 0

Here you go hope this helps you out :)

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Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const

Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration $a_a$ , we have the following equation of motion

$s/4 = a_at_a^2/2$

where s (m) is the total distance, ta = 3 s is the time

$s = 4a_a3^2/2 = 18a_a$

$a_a = s/18$

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration $a_k$ , we have the following equation of motion:

$s/3 = a_kt_k^2/2$

tk = 4 s is the time

$s = 3a_k4^2/2 = 24a_k$

$a_k = s/24$

Since $a_a = s/18$ we can conclude that $a_a > a_k$ , so Alison would win.

The time it takes for Alison to cover the entire track

$s = a_aT_a^2/2$

$T_a^2 = 2s/a_a = 2s/(s/18) = 36$

$T_a = \sqrt{36} = 6 s$

The time it takes for Kevin to cover the entire track

$s = a_kT_k^2/2$

$T_k^2 = 2s/a_k = 2s/(s/24) = 48$

$T_a = \sqrt{48} = 6.93 s$

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0

3 years ago

The sum of two numbers is 80 If four times the smaller number is subtracted from the larger number, the result is 10. Find the t

timama [110]

This can be solved using a system of equations.
$\left \{ {{x+y=80} \atop {x-4y=10} \right. 
$
Subtract y from both sides.
$x=80-y$
Substitute:
$80-y-4y=80-5y=10$
Subtract 80 from both sides:
$5y=70$
Divide both sides by 5:
$y= \frac{70}{5} =14$
Substitute.
$x=80-14=66$

3 0

3 years ago

Read 2 more answers

Work out the size of the angle X.<br><br> Give your answer correct to 3 significant figures.

aleksley [76]

Step-by-step explanation:

Recall the Ratio for tan

Tan(theta) = opposite / adjacent

Tan (x) = 9 / 5

solve for x (use Tan^-1(...) )

3 0

2 years ago

Read 2 more answers

One number is 16 less than 4 times the second number. Their sum is 29. Find the numbers.

aleksklad [387]

Answer:

20,9

Step-by-step explanation:

this is how I did=x=1st, y=2nd; x=4y-16 and x+y=29; thus 4y-16+y=29; 5y-16=29; 5y=45; y=45/5=9, once you know y=9, put in equation, 4y-16=×, (4*9)-16=x, 36-16=x, 20=x

4 0

3 years ago

PLEASE HELP It's for 10pts

Eduardwww [97]

Answer:

9x+2

Step-by-step explanation:

It's a simple problem, to find the perimeter, add a+b+c. In this case, it's with binomials, but it follows the same idea.

(2x+2)+(3x+1)+(4x-1)

2x+2+3x+1+4x-1

Combine like terms.

2x+3x+4x=9x

2+1-1=2

Left with 9x+2 as your perimeter binomial.

4 0

2 years ago