Answer:

or
0.67
Step-by-step explanation:
a dozen is 12
12/4 = 3
8/4 = 2
8 is 2/3 of a dozen(12)
2/ 3 = 0.66666666666667 which is about 0.67
By solving a system of equations, we will see that m measures 12 units.
<h3>
How to get the measure of m?</h3>
Notice that we have 3 right triangles.
Then we can write the equations:
cos(a) = 6/m
For the small triangle on the left, where m is the hypotenuse.
cos(a) = m/(6 + 18)
For the larger triangle (the one composed of the two triangles).
Where in both equations, angle "a" is the one in the top left.
Then we have the system of equations:
cos(a) = 6/m
cos(a) = m/(6 + 18)
Then we can write:
6/m = m/(6 + 18)
If we simplify the expression, we get:
6*(6 + 18) = m^2
6*(24) = m^2
144 = m^2
√144 = m = 12
Then we conclude that m measures 12 units.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
Explanation:
Mass of boy = 40 kg
Mass of box = 20 kg
Total mass = 60 kg
Initial potential energy = 0 (since height would be 0 initially)
Final potential energy = mgh
Taking g as 10 m/s²,
=> 60 × 10 × 15
= 9,000 J
So, work done = final potential energy - initial potential energy
= 9,000 J
Power = Work/Time
=> Power = 9000/25
=> Power = 360 J/s
or 360 watt.
Slope = -1/4
y-interept = 8
⇒equation: y = -1/4x + 8
x-intercept ⇒ when y = 0
0 = -1/4x + 8
1/4x = 8
x = 8 x 4
x = 32
Answer: x-intercept = (32,0)