Answer:
m = 10
Step-by-step explanation:
According to the picture attached, we can see the angles formed.
The angle on the top (5m+100) is sided with the angle 2m+10. This means that they are supplementary angles, their sum is 180°.
So,
5m+100+2m+10 = 180
5m+2m=180-100-10
7m = 70
m = 10
<span>gravitational potential energy : P
Gravity : g
Mass : m
height : h
P = mgh = 3 x 9.8 x 0.45 = 13.23 Joule
Potential energy is work , from the known formula
W = Fd ( work = force x distance )
W = P ( in case of potential energy height change)
F is the force acting on the body in case of ideal ramp , the only force acting is the weight of the body
F = mg ( not just <m> as the force is mg (Newton) gravity effect)
d is the displacement in direction of force, as we have considered the force to be the weight not it's component in direction of the ramp , the change in displacement is the change in height so
d = h
W = Fd = (F = mg) x (d = h) = mgh
W = mgh = P
</span>
Answer: 583
Step-by-step explanation: Just add 424 and 159.
Initially the number of rose bushes are 18 and number of holly bushes are 6.
<h3>What is linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose initially the number of rose bushes is x and number of holly bushes is y
x = 3y …(1)
Then I moved seven of my rose bushes to my grandfather’s garden:
= (x - 7)
Planted 11 new holly bushes in my garden:
= (y + 11)
x - 7 = y + 11 - 6
x - y = 12 ...(2)
After solving equation (1) and (2):
x = 18
y = 6
Thus, initially the number of rose bushes are 18 and number of holly bushes are 6.
Learn more about the linear equation here:
brainly.com/question/11897796
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