The mass in kg is 106.27 if the mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).
<h3>What is a proportional relationship?</h3>
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
The mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).
M ∝ L³
After removing proportional sign
M = cL³
Plug M = 50 kg and L = 70 cm = 0.7 m
50 = c(0.7)³
c = 145.77 kg/m³
If L = 0.9 m, then M
M = (145.77 kg/m³)(0.9 m)³
M = 106.266 ≈ 106.27 kg
Thus, the mass in kg is 106.27 if the mass of a cube, M (kg), is proportional to the cube of the length of its edge, L(m).
Learn more about the proportional here:
brainly.com/question/14263719
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<h2>20°</h2>
In this problem, we need to use some <u>division</u>.
To find the value of x, divide 4 from 80, and we get:
80 ÷ 4 = 20
The final answer is:
<h3>20°</h3>
To verify the answer, we need to multiply:
20 × 4 = 80
<em>Hope this helps :)</em>
Answer:
The slope is 9/5
Step-by-step explanation:
To find the slope, we use the following slope;
m = (y2-y1)/(x2-x1)
Thus, we have
m = (55-10)/(50-25)P
m = 45/25 = 9/5
Convert 3/8 to its decimal equivalent: 0.375.
Then
x
------ = 0.375
2.4
Mult. both sides by 2.4: x = 8.99999, which should be rounded off to 9.0.
y = - 
x - 2
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 2x + 5y = 10 into this form
subtract 2x from both sides
5y = - 2x + 10 ( divide all terms by 5 )
y = - x + 2 ← point- slope form with slope m = -
Parallel lines have equal slopes hence
y = - x + c is the partial equation of the parallel line
to find c, substitute ( 5, - 4 ) into the partial equation
- 4 = - 2 + c ⇒ c = - 4 + 2 = - 2
y = - x - 2 ← equation of parallel line
