If we consider "a" as the edge length, and "D" the cube's diagonal, we have that the square cube's diagonal is equal to the edge length's square plus the side diagonal (d) square (Pythagoras theorem)
a² + d² = D²
And since:
d² = a² + a²
Clearing a, we have:
a² = D²-d²
<span>a² = D²-2a²
</span><span>3a² = D²
</span>
a = √(<span>
D²/3)</span>
Surface area is equal to 6·a², so the surface area will be 6·(D²/3) =
2D²The volume is a³, so the volume will be √(D²/3)³ = √
(<span>/3</span>³<span>) =
D</span>
³/√27
The first thing we must do for this case is to rewrite the expression of the volume correctly.
We have then:
v = 0.95 * h ^ 2.9
Substituting the value of h we have:
v = 0.95 * (7.5) ^ 2.9
v = 327.6432831
round to the nearest tenth:
v = 327.6 feet ^ 3
Answer:
the amount of water in the container when h = 7.5 feet is:
v = 327.6 feet ^ 3
A=3b+2
a-2=3b
(a-2)/3=b
therefore b=(a-2)/3
8? Is it, I am not good at math
the equation of line that is perpendicular to 2x+y=3 & passes through points (2,-5) is:
Step-by-step explanation:
Given equation of line is:
Let m1 be the slope of given line and
m2 be the slope of line perpendicular to given line
The slope of first line will be (The coefficient of x)
m1 = -2
We know that the product of slopes of two perpendicular lines is -1
So,
slope-intercept form is:
Putting the value of slope we get
Putting the point in the equation
Putting the value of b
Hence,
the equation of line that is perpendicular to 2x+y=3 & passes through points (2,-5) is:
Keywords: slope, Equation of line
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