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pav-90 [236]
3 years ago
5

How much kinetic energy does a 80 kg man have while running at 1.5 M/S

Mathematics
1 answer:
Anni [7]3 years ago
7 0
KE=1/2(m)(v)^2 


KE=1/2(80)(1.5)^2


KE=90 J
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Find the value of x.<br><br> F) 6m<br> G) 7.5m<br> H) 15m<br> I) 21m
Xelga [282]

Answer:

x = 6 m

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \frac{1}{2} h (a + b)

where h is the perpendicular height and a, b the parallel bases

Here A = 60, h = 8, a = 9 and b = x , thus

\frac{1}{2} × 8 × (9 + x) = 60, that is

4(9 + x) = 60 ( divide both sides by 4 )

9 + x = 15 ( subtract 9 from both sides )

x = 6 m

7 0
3 years ago
Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).
nasty-shy [4]

Answer:

f(x) = \frac{x - 25}{5x - 5}

Domain: x \ne 1

Step-by-step explanation:

Given

f(5x) = \frac{x - 5}{5x - 1}

Required

Determine f(x) and its domain

To determine f(x), we replace 5x with x in f(5x)

So, we have:

f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}

f(x) = \frac{\frac{x}{5} - 5}{x - 1}

Take LCM

f(x) = \frac{\frac{x - 25}{5}}{x - 1}

f(x) = \frac{x - 25}{5} * \frac{1}{x-1}

f(x) = \frac{x - 25}{5x - 5}

To get the domain, we set the denominator as

5x - 5 \ne 0

5x \ne 5

x \ne 1

4 0
3 years ago
A movie theater sells popcorn and fountain drinks. Brett buys 1 popcorn bucket and 3 fountain drinks for his family, and pays $9
siniylev [52]

Answer:

Step-by-step explanation:

p + 3d = 9.50

3p + 4d = 19.75

-3p - 9d = -28.50

3p + 4d =  19.75

-5d = -8.25

d= $1.65 drinks

p + 3(1.65) = 9.50

p + 4.95 = 9.50

p = $4.55 popcorn

7 0
3 years ago
The perimeter of Dawna's new flat screen television is 112 inches. The ratio of its length to width is 4:3. Wire and solve an al
Dmitry_Shevchenko [17]
Hey there,
Length = 4x
Width = 3x
Perimeter = 112 inches
4x + 3x + 4x + 3x = 112 inches
14x = 112 inches
x = 112 inches / 14
   = 8 inches
Length = 8 inches x 4
            = 32 inches
Width = 8 inches x 3
          = 24 inches

 Hope this helps :))

<em>~Top♥</em>
5 0
3 years ago
Read 2 more answers
Please help with number 1
bezimeni [28]

Answer:

19.0681

Step-by-step explanation:

Given in the question that,

angle from ted to the dog = 60° with the ground

height of ted from the ground =  16ft

To find,

distance between dog and the door of ted's building

Considering the scenario make a right angle triangle:

<h3>By using pythagorus theorem:</h3>

Tan 40 = opposite / adjacent

Tan 40 = height / distance between dog and the door

Tan 40 = 16ft / x

x = 16 / tan40

x = 19.068057

x ≈ 19.0681 (nearest to thousand)

So, the dog need to walk 19.0681ft to reach the open door directly below Ted.

7 0
3 years ago
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