Answer:
Step-by-step explanation:
Ke = 1/2mv^2
Ke= .5x500kgx(12m/s)^2
Ke = 36,000 J
DEF is shown in the attachment.
Answer: x = 36.08
Step-by-step explanation: We can use <u>Law</u> <u>of</u> <u>Sines</u> to determine x, which is written as:
![\frac{x}{sin(F)}=\frac{55}{sin(90)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bsin%28F%29%7D%3D%5Cfrac%7B55%7D%7Bsin%2890%29%7D)
where
F is the angle at vertex F
The angle is calculated knowing that the sum of all internal angles of a triangle is 180°:
F + 49 + 90 = 180
F + 139 = 180
F = 180 - 139
F = 41
Then, Law of Sines will be:
![\frac{x}{sin(41)}=\frac{55}{sin(90)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bsin%2841%29%7D%3D%5Cfrac%7B55%7D%7Bsin%2890%29%7D)
Sin(90) = 1
sin (41) = 0.6560
Substituing and rearraging:
![x=\frac{55}{1}(0.6560)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B55%7D%7B1%7D%280.6560%29)
x = 36.08
<u>The value of x is 36.08 units</u>
Answer:
$74.34
Step-by-step explanation:
She worked as a carpenter for 12 hours and as a blacksmith for 18 hours.
Assuming you mean she earned $20 as a carpenter and $25 as a blacksmith per hour, with a total of 30 hours for $690,
let c represent carpenter hours and b for blacksmith hours.
20c + 25b = 690
c + b = 30
Subtract b from each side so that c = 30 - b
Plug this value into the first equation
20(30 - b) + 25b = 690
600 - 20b + 25b = 690
600 + 5b = 690
5b = 90
b = 18
To find c, plug this value of b into the other equation
c + 18 = 30
c = 12